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Time & Work and Pipe & Cistern Questions for RRB, RBI, IBPS Exams 2015

Quantitative Questions On (Time & Work and Pipe & Cistern) for RRB, RBI, IBPS Exams 2015

Here is a list of Quantitative Aptitude Questions based in Time & work and Pipe & Cistern for upcoming RRB, RBI, IBPS and LIC ADO exams.

1. A can do a work in 50 days and B in 40 days . They work together for 10 days and then A leaves and B have to finish the work alone. How long will B take to finish it??
(a) 11 days
(b) 18 days
(c) 22 days
(d) 26 days
(e) None of these

2. 30 men, working 4 hrs a day can do a piece of work in 10 days. Find the number of days in which 45 men working 8 hrs a day can do twice the work. Assume that 2 men of the first group do as much work in 2 hrs as 4 men of the second group do in 1 hr.
(a) 6(1/3) days
(b) 6(2/3) days
(c) 5(3/6) days
(d) 3(1/6) days
(e) None of these

3. A alone would take 27 hrs more to complete the job than if both A and B would together. If B worked alone, he took 3 hrs more to complete the job than A and B worked together. What time, would they take if both A and B worked together?
(a) 8 hours
(b) 10 hours
(c) 9 hours
(d) 6 hours
(e) None of these

4. A and B together can do a piece of work in 12 days which B and C together will do in 16 days. After A has been working on it for 5 days, and B for 7 days, C finishes it in 13 days. In how many days A,B and C alone will do the work ?
(a) 16, 48 and 26 days respectively
(b) 16, 48 and 24 days respectively
(c) 26, 48 and 24 days respectively
(d) 16, 46 and 24 days respectively
(e) None of these

5. Two women Ganga and Jamuna, working separately can mow a field in 8 and 12 hours respectively. If they work for an hour alternately, Ganga beginning at 9 am, when will the mowing be finished?
(a) 9:30 PM
(b) 8:30 PM
(c) 6:00 AM
(d) 7:00 PM
(e) None of these

6. A, B and C together can do a work in 12 days. A alone can do the work in 36 days and B alone can do the same work in 54 days. Find in what time C alone can do that work?
(a) 9 days
(b) 18 days
(c) 24 days
(d) 27 days
(e) None of these

7. A, B and C together can do a work in 4 days. A alone can do the work in 12 days B alone can do the same work in 18 days. Find in what time C alone can do the same work alone?
(a) 9 days
(b) 18 days
(c) 27 days
(d) 8 days
(e) None of these

8. A can complete a work in 35 days and B can do the same work in 28 days. If A after doing 10 days, leaves the work , find in how many days B will do the remaining work?
(a) 15 days
(b) 10 days
(c) 27 days
(d) 24 days
(e) None of these

9. A can complete a work in 24 days and B can complete the same work in 18 days. If A after doing 4 days leaves the work find in how many days B will complete the remaining work?
(a) 11 days
(b) 15 days
(c) 12 days
(d) 10 days
(e) None of these

10. A and B together can do a piece of work in 6 days, B alone could do it in 8 days. Supposing B works at it for 5 days, in how many days A alone could finish the remaining work?
(a) 9 days
(b) 8 days
(c) 24 days
(d) 12 days
(e) None of these

11. A and B can do a piece of work in 20 days and 30 days. both starts the work together for some time,but B leaves the job 5 days before the work is completed. Find the time in which work is completed.
(a) 7 days
(b) 12 days
(c) 14 days
(d) 16 days
(e) None of these

12. Two pipes A & B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are open simultaneously. How much times will be taken to fill the tank?
(a)20 hour
(b)25 hour
(c)15 hour
(d)30 hour
(e)None of these

13. If A & B two pipes can fill a tank in 10 hour, when A pipe can fill a tank in 6 hour alone ,then in how much time will be taken to fill/empty the tank when pipe B open alone ?
(a) Empty in 15 hr
(b) Filled in 20 hr
(c) Empty in 20 hr
(d) Filled in 15 hr
(e) None of these

14. Pipe A and B can fill a tank in 10 hour and 12 hour respectively but pipe C can empty the same tank in 15 hour, In how much time it will take fill the tank when the three pipes are opened together?
(a) 8.5 hour
(b) 10 hour
(c) 12 hour
(d) 15 hour
(e) None of these

15. Two pipes A & B fill an empty tank in 40 minutes and 60 minutes respectively, If both pipes are open simultaneously after how much time should A be closed so that tank is filled in 36 minutes?
(a) 16 min
(b) 20 min
(c) 25 min
(d) 30 min
(e) None of these.

Answers :-
1. c
2. b
3. c
4. b
5. e
6. d
7. a
8. e
9. b
10. a
11. c
12. a
13. a
14. a
15. a

Explanation :

1. (c) 22 days
Let the total work be 200 work
Efficiency of
A = 200/50 = 4 work/day
B = 200/40 = 5 work/day
A+B’s efficiency = 9/day
A+B’s 10 days work = 9*10 = 90
Remaining work = 200-90 = 110
Time taken by B alone to finish the remaining wrk = 110/5 = 22days

2. (b) 6(2/3) days
M1D1H1/E1W2 = M2D2H2/E2W1 (From MDH Rule)
Efficinecy of first grp : 2nd grp = 2*2 :4*1 = 1:1
Now, D2 = M1D1H1E1W2 / M2H2E2W1
D2 = 30*4*10*1*2 / 45*8*1*1
D2 = 20/3 = 6(2/3) days

3. (c) 9 Hours
Let A+B together takes X hours
A will take X+27 hrs
B will take X+3 hrs
Let the total work be (X+27)(X+3)
Efficiency of A= X+3
B = X+27
Total efficiency = 2X+30
Time working together = (X+27)(X+3) / 2X+30 = X
X^2 +30X + 81 = 2X^2 + 30X
or, X^2 = 81 or X= 9 hrs (neglecting –Ve time )

4. (b) 16, 48 and 24 days respectively
Let the total work be 48
Efficiency of
A+B = 4/day…… (i)
B+C = 3/day……..(ii)
Now, A works for 5 days, B works for 7 days and C works for 13 days and completes the total work of 48.
This can be rewritten as
A+B for 5 days + B+C for 2 days + C for 11 days completes the total work of 48
Now, A+B’s 5 days work = 20
B+C’s 2 days work = 6
Therefore, 20+6+ C’s 11 days work = 48
C’s 11 days work = 48-26 = 22
C’s efficiency = 2/day.. (iii)
From (i),(ii),(iii)
C’s efficiency = 2
B’s Efficiency = 1
A’s efficiency = 3
Time taken by
A= 16 days, B= 48 days, and C= 24 days

5. (e) None of these (6:30PM)
Let the total work be 24
Efficiency of Ganga = 24/8 = 3/hr
Efficiency of Jamuna= 24/12 = 2/hr
They work alternately starting from Ganga
First 2 hrs work = 3+2 = 5
First 8 hrs work = 20
Remaining = 24-20 = 4
9th hr work to be done by Ganga = 3
Remaining work = 4-3 = 1 to be done by Jamuna in 1/2 hr.
Total time = 8+1+(1/2) hrs = 9.5 hrs or 9 Hr 30 minutes
So work will be completed by 9AM + 9 hrs 30 minutes = 18 hrs 30 minutes or 6:30 PM

6. (d) 27 Days
Let the total work be 108 (Common Multiple of 12,36 and 54)
Efficiency of A+B+C =108/12= 9,
of A alone = 108/36 = 3 and
of B alone = 108/54 = 2
Therefore of C alone = 9-(3+2) = 4
Time taken by C = 108/4 = 27 days

7. (a) 9 Days
Let the total work be 36 ( Can take any value Preferably Common Multiple )
Efficiency of
A+B+C = 36/4 = 9
A alone= 36/12 = 3
B alone = 36/18 = 2
C alone = A+B+C- (A+B) = 9-(3+2) = 4
Time taken by C alone = 36/4 = 9 days

8. (e) None of these (20 days)
Let the total work be 140
Efficiency of A = 4
Efficiency of B = 5
A works for 10 days = 4*10 = 40
Remaining work = 140-40 = 100 to be done by B
B will do it in 100/5 = 20 days

9. (b) 15 days
Let the total work be 72
Efficiency of A = 3 and Of B = 4
A’s 4 days work = 3*4 = 12 remaining work = 72 -12 = 60
Work completed by B in 60/4 = 15 days

10. (a) 9 days
Let the total work be 24
Efficiency of A+B = 4
Efficiency of B = 3
Efficiency of A = 1 as A+B = 4 and B= 3
Work done by B in 5 day = 3*5 = 15
Remaining work = 24-15 = 9
Remaining work to be done by A in 9/1 = 9 days

11. (c) 14 days
Let the total work be 60
Efficiency of A = 3 and of B = 2
Efficiency of A+B = 3+2 = 5
Suppose B never left the work then if the time taken remains same then work done by B in those 5 days will be added to original work.
Therefore, Now, works become = 60 + B’s 5 days work = 60+10 = 70
Time taken = 70/5 = 14 days

Other way :- B leaves the work 5 days before means A did work alone for that 5 days
Work Done by A in that 5 day = 5/20 = 1/4
Remaining work = 3/4
To complete the work together A+B would have taken 1/ (1/20+ 1/30) = 600/50 = 12 days
3/4th of the work together will be completed in 12*3/4 = 9 days
Total time = 5+9 = 14 days

12. (a) Required Time = 1/(1/45+1/36)= 20 hour

13. (a) 1/6+ 1/B= 1/10
So B = -60/4 =-15
So b will empty the tank in 15 hour

14. (a) Total Time = 1/(1/10 + 1/12-1/15)= 8.5 hour

15. (a) Pipe B will work for 36 min.
in 36 min he will fill the part of tank = 36/60 =3/5 part
Remain part = 2/5
it will filled by A in minutes = 2/5*40 = 16 min
So Tap A should be closed after 16 minutes to fill the tank in 36 minutes.

Banking Quantitative Aptitude

Quantitative Aptitude Questions for SBI PO Main 2015

1.In an election between two candidates, one got 52% of total valid votes. 25% of the total votes were invalid. The total number of votes were 8400. How many valid votes did the other person get?

(1) 3276
(2) 3196
(3) 3024
(4) Cannot be determined
(5) None of these

2.A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

(1)1kmph
(2)1.5kmph
(3)2kmph
(4)2.5kmph
(5)2.6kmph

3.A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

(1)3:1
(2)2:1
(3)1:2
(4)3:2
(5) none of these

4.A fort has provisions for 60 days. If after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort?

(1)3500
(2)4000
(3)6000
(4)8000
(5)None of these

Directions (5-7) In each of the following questions What will come in place of ____ in the following questions
5. 6 ,3 ,3 ,4.5 ,9 , ?

(1)22.5
(2)25
(3)30
(4)32.5
(5) 27

6.9 , 28 ,65 , 126 , ?

(1)234
(2)230
(3)217
(4)216
(5) 220

7. 1 ,5 , 3 , 9 , 5, 13 ,7 , 17,11, 21 ,?

(1)13
(2)23
(3)19
(4)23
(5) none of these

Directions (8-12): Study the given information carefully
A basket contains 6 blue, 2 red, 4 green and 3 yellow balls.

8.If 2 balls are picked at random, what is the probability that either both are green or both are yellow?

(1) 2/5
(2) 3/35
(3) 1/3
(4) 3/91
(5) None of these

9.If 5 balls are picked at random, what is the probability that at least one is blue?

(1) 137/143
(2) 9/91
(3) 18/455
(4) 2/5
(5) None of these

10.If 2 balls are picked at random, what is the probability that both are blue?

(1) 1/5
(2) 8/91
(3) 2/15
(4) 2/27
(5) None of these

11.If 4 balls are picked at random, what is the probability that 2 are red and 2 are green?

(1) 4/15
(2) 5/27
(3) 1/3
(4) 2/455
(5) None of these

12.If 3 balls are picked at random, what is the probability that none is yellow?

(1) 3/455
(2) 1/5
(3) 44/91
(4) 4/5
(5) None of these

Direction(13-15):Find the approximate value
13.9837+315 X 6-77 X 13+10% of 1500

(1)10600
(2)10850
(3)11200
(4)10700
(5)11000

14.12 X 13+105% of 993 +879/18 +15

(1)1150
(2)1170
(3)1185
(4)1200
(5) 1215

15.12833 + 133 % of 1655 -7/5 of 3533

(1)9000
(2)10000
(3)10500
(4)11000
(5) 9500

Answer :

1) 3
2) 1
3) 1
4) 2
5) 1
6) 3
7) 1
8) 2
9) 1
10) 5
11) 4
12) 3
13. 2
14. 4
15. 2

Hints:

1. valid votes got by other person = 8400 *36/100 =3024

2. let Speed of man = x and speed of stream = y
48/(x+y) + 48/(x-y) = 14
4/(x+y) = 3/(x-y)
on solving, y = 1km/hr

3.let Speed of Boat = x and speed of stream = y
So distance is same,
so 2/(x+y)= 1/(x-y)
on solving x= 3y
x:y = 3:1

4. let total person was x
x*45= (x+500)*40
on solcing x= 4000
5. 22.5
6. 217
7. 13
8. probability either both at green or either both are yellow = (4c2+3c2)/(15c2) = 9/105 =3/35
9. 1- 9c5/15c5 =137/143
10. 6c2/15c2 = 1/7
11. 2c2*4c2/15c4 =2/445
12. 12c3/15c3 = 44/91
13. option 2(approx)
14. option 4(approx)

15. option 2(approx)

Banking Quantitative Aptitude Quantitative Quiz

RBI Assistant : Quantitatve Questions based on Time, Speed and Distance

Many questions will find from Quantitatve questions based on Time, Speed and Distance in Banking Exams like SBI PO & Clerk, IBPS PO & Clerk and RBI Assistant. So you give more importance in this section.

RBI Assistant : Quantitatve Questions based on Time, Speed and Distance

For Questions (1-2) Answer the following Questions on the basis of the information given below:

i) Train A and B are travelling on the same route heading towards the same destination. Train B has already covered a distance of 220 km before Train A started.
ii) The two trains meet each other 11 hours after the start of train A.
iii) Had the trains been travelling towards each other (from a distance of 220 km), they would have met after 1 hour.

1. What is the speed of train B in km/ph?

A) 100
B) 180
C) 120
D) 160
E) None of these.

Ans: (A)

2. What is the speed of train A in km/ph?

A) 102
B) 80.5
C) 118
D) Data inadequate
E) None of these.

Ans: (E)

3.Two cars starts at the same time from A and B which is 120 km apart, If the two cars travel in opposite directions they meet after 1 hour and if they travel in same direction (from A towards B) then A meets B after 6 hours, What is the speed of car starting from A?

A) 70 km/hr
B) 120 km/hr
C) 60 km/hr
D) Data inadequate
E) None of these.

Ans: (A)

4. Find the speed of train in km/hr whose length is 200 m crosses platform of length 240 m in 22 sec?

A) 60 km/hr
B) 48 km/hr
C) 53 km/hr
D) Data inadequate
E) None of these.

Ans: (E)

5. A man starts going for morning walk every day. The Distance walked by him on the first day was 2 km. every day he walks half of the distance walked on the previous day. What can be maximum total distance walked by him in his lifetime?

A) 4 km
B) 20 km
C) 8 km
D) Data inadequate
E) None of these

Ans: (A)

6. A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream it takes 4 hours. What is the speed of the boat in still water?

A) 4 km/hr
B) 6 km/hr
C) 8 km/hr
D) 10 km/hr
E) None of these.

Ans: (B)

7. What is the speed of a train?
I)The train crosses a signal pole in 13 sec.
II)The train crosses a plate form of length 250 m in 27 sec.
III)The train crosses another train running in the same direction in 32 sec.

A) I and II only
B) I and III only
C) II and III only
D) Any Two of Three.
E) None of these.

Ans: (A)

8. A car covers its journey at the speed of 80 km/hour in 10 hours. If the same distance is to be covered in 4 hours, By how much the speed of car will have to increase?

A) 8 km/hr
B) 10 km/hr
C) 12 km/hr
D) 16 km/hr
E) None of these.

Ans: (E)

9.A Boat takes 6 hours to travel from place M to N downstream and back from N to M upstream. If the speed of the Boat in still water is 4km/hr, What is the distance between the two places?

A) 8 km
B) 12 km
C) 6 km
D) Data inadequate
E) None of these

Ans: (D)

10. A motor starts with the speed of 70 km/hour with its speed increasing every two hours by 10 km/hr. In how many hours will it cover 345 kms?

A) 9/4 hours
B) 9/2 hours
C) 4 hours 5 minute
D) Can’t Determined
E) None of these.

Ans: (B)

Banking Quantitative Aptitude Quantitative Quiz

RBI Assistant : Quantitative Questions

Direction (1-7): Study the following charts carefully and answer the questions given below:

1. What is the average number of Men from all the cities together ?

1) 20357 (1/6)
2) 19617 (2/3)
3) 20317 (1/3)
4) 21445 (2/7)
5) None of these

Ans: (3)

Req. average

= 1/6 {(44.35*42)/100 + (35.40*38)/100 + (52.10*52)/100 + (65.50*34)/100 + (38.25*50)/100 + (45.40*47)/100}

1/(6*100) (12190.4) thousand = 20317(1/3) thousands

2. The outer circumference of a circular track is 220 m. The track is 7 m wide everywhere. Calculate the cost of levelling the track at the rate of 50 paisa/square meter ?

1) Rs. 1925
2) Rs. 1293
3) Rs. 673
4) Rs. 793
5) None of these

Ans: (5)

Let outer radius = R

Inner radius = r = R – 7

2 * 22/7 *r = 220

R = 220/(2*22) * 7 = 35m

r = 35 – 7 = 28 m.

Area of track = 22/7 (R^2 – r^2 )

= 22/7{(35)^2 – (28)^2} = 1386 m^2

Cost of levelling the track = Rs. (1386×0.50) = Rs. 693

3. Total number of people from city C is approximately what percent of the total number of people all cities together ?

1) 19
2) 23
3) 26
4) 14
5) None of these

Ans: (1)

Req. % = (52.10 * 100)/ (44.35 35.40 52.10 65.50 38.25 45.40)

= 18.5409 = 19 % (approx)

4. Number of Children from city F is what percent of those from city B ? (Rounded off to two digits after decimal)

1) 109.92
2) 111.47
3) 98.52
4) 132.71
5) 93.47

Ans: (1)

Req. % = {(45.40 * 24)/100 * 100}/ {(35.40 * 28)/100} = 109.92%

5. What is the respective ratio of number of Men from city D to number of Women from city E ?

1) 7203 : 1479
2) 27 : 37
3) 8908 : 4131
4) 91 : 79
5) None of these

Ans: (3)

Req. ratio = (65.50 * 34)/100 : (38.25 * 27)/100

= 222700 :103275

= 8908 : 4131

6. Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes ?

1) 1 : 3
2) 7 : 9
3) 3 : 7
4) 2 : 3
5) None of these

Ans: (2)

Let side of the cube = x units

Total surface area of three cubes = 3 × 6 x^2 = 18 x^2

Total surface area of cuboid = 2 (lb + bh + lh)

= 2 ( x × 3x + 3x × x + x × x)

Req. ratio = 14 x^2/ 18 x^2

= 7 : 9

7. Which city has the lowest number of Men ?

1) A
2) E
3) B
4) C
5) None of these

Ans: (3)

No. of men in city A = (44.35/100 * 42) thousands

= (44.35 * 42)/100 thousands

= 18627

No. of men in city B = (35.40 * 38)/100 thousands = 13452

No. of men in city C = (52.10 * 52)/100thousands = 27092

No. of men in city D = (65.50 * 34)/100 thousands = 22270

No. of men in city E = (38.25 * 50)/100 thousands = 19125

No. of men in city F = (45.50 * 47)/100 thousands = 21338

8. Ram's project report consists of 25 pages each of 60 lines with 75 characters on each line. In case the number of lines is reduced to 55 but the number of character is increased to 90 per lines. What is the percentage change in the number of pages? (Assume the number of pages to be a whole number.)

1) – 12%
2) – 8%
3) + 12%
4) + 8%
5) None of these

Ans: (2)

Total characters in Ram’s project report = 25× 60 × 75

Let the new number of pages = x

Then,

n × 55 × 90 = 25 × 60 × 75 = n = 22.72

This means Ram’s report would require 23 pages

Req. % drop = (23 - 25)/25 * 100 = –8%

9. A, B, C enter into a partnership with share in the ratio 7/2: 4/3: 6/5. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 43200, then C's share in the profit is

1) Rs. 4200
2) Rs. 3686
3) Rs. 7200
4) Rs. 8640
5) None of these

Ans: (3)

Given ratio = 7/2 : 4/3 : 6/5 = 105 : 40 : 36

Ratio of investments (i.e. ratio of profit) =

[105 × 4 + (150 % of 105) × 8] : (40 × 12) : 36 × 12

= 1680 : 480 : 432 = 35 : 10 : 9

B’s share in the profit

= 9/(35 + 10 + 9) * 43200 = 9/54 * 43200 = Rs. 7200

10. A can do a piece of work in 16 days. He works at it for 4 days and then B finishes it in 10 more days. In how many days will A and B together finish the work ?

1) 7 (1/12) days
2) 11 (2/3) days
3) 7 (3/11) days
4) 9 (3/7) days
5) None of these

Ans: (3)

Efficiency of A = 1/16 work/day

In 4 days ‘A’ can complete 1/16 * 4 = 1/4 work

Remaining work = 1 - 1/4 = 3/4 work

B complete 3/4 work in 10 days.

B complete 1 work in 40/3 days

A and B together finish the work in

= 1/ (1/16 + 3/40) = 80/11 = 7(3/11) days

Banking Quantitative Aptitude Quantitative Quiz SBI Main 2015 SBI PO 2015

SBI PO Main : Quantitative Questions

Directions (1-2): Find the approximate value should come in the question mark ?

1. 12591/39.8+933/13-12.86*14.2+135=?

a) 340
b) 330
c) 325
d)350
e)355

Ans: (a)

2. 33% of 1235+917/12-129% of 765+682=?

a) 160
b) 180
c) 200
d) 210
e)225

Ans: (b)

3.In simultaneous throw of two coins,the probability of getting at least one head is:

a) 1/2
b) 2/3
c) 3/4
d) 1/3
e)None of these

Ans: (c)
n(E)=HT,TH,HH
P(E)=3/4

4.A bag contains 6 black balls and 8 white balls. one ball is drawn at random.what is the probability that the ball drawn is white:

a) 4/7
b) 3/4
c) 4/5
d)1/8
e)None of these

Ans: (a)
8/14=4/7

5.The average age of a man and his son is 45 years. The ratio of their ages is 5 : 1. What is the difference between the ages of the man and his son?

a)40 years
b)60 years
c)55 years
d)45 years
e)None of these

Ans: (b)
3=45
1=15
4=60

6.The difference between 41% of a number and 15% of the same number is 390. What is 33% of the number?

a)360
b)495
c)490
d)150
e)395

Ans: (b)

7.The inner diameter of a well is 18meters. If the well is 28 metres deep then what is its volume?

a)7218 cu m
b)7282 cu m
c)7128 cu m
d)7028 cu
e)None of these

Ans: (c)
V=Pie r^2h
=22/7*9^2*28=7128

8.If a commission of 10% is given on MP of book ,the publisher gains 20% if the commission is increase to 15% the gain % is ?

a) 40/3
b) 10
c) 20
d) 15
e) None of these

Ans: (a)
Let M.P=100
SP1=90
CP=90*100/120=75
SP2=85
P%=10/75*100=40/3

9.A takes 2 hr more than B to walk D km .if A double his speed than he can make it in 1 hr less than B. how much time does B require for walking D km?

a)4 hr
b)1 hr
c)2.5 hr
d)1.5hr
e)3hr

Ans: (a)
Let time taken by B =t
so time taken by A=t+2
when speed of A is double then time taken by A=(t+2)/2
so,(t+2)/2= t-1
t=4 hr

10.The circumferences two concentric circles are 186m and 142m. What is difference between their radii?

a)7m
b)10m
c)11m
d)8m
e)14m

Ans: (a)

11.In a class of 45 students and 8 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets were there?

a)484
b)549
c)600
d)449
e)550

Ans: (b)
Numbers of sweets got by students = 45*9=405
Numbers of sweets got by teachers = 8*18=144
Recquired Sweets=405+144=549

12.There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

a).20
b).80
c)100
d).200
e) None of these

Ans: (c)
Let numbers of students in A and B are x and y
x-10=y+10
x-y=20.......(1)

(x+20)/(y-20)=2
x-2y=-60.......(2)
From above Eq.
x=100

13.A.train covers a distance of 880 km in 16 hours. What is the average speed of the car, if the speed of the car is 30% less than the speed of the train?

a)71.5 kmph
b)60 kmph
c)38.5 kmph
d)40 kmph
e)37.5 kmph

Ans: (c)
Speed of train=880/16*70/100=38.5

14.A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

a) 11 days
b) 13 days
c) 20 days
d) 15 days
e) None of these

Ans: (b)
13 A

10 B
Total work=13*23
Recquired time=13*23/23=13 days

15.A does half as much work as B in three-fourth of the time. If together they take 18 days to
complete the work, how much time shall B take to do it?

a) 30 days
b) 40 days
c) 15 days
d)24 days
e) None of these

Ans: (a)
Let B has done the work in x days
A/2=3/4x
A=3/2x days
2/3x+1/x=1/18
x=30 days

16.A positive number is by mistake divided by 6 instead of being multiplied by 6 What is the % error on the basis of correct answer?

A.) 30
B.) 97
C.) 80
D.) 100
E.) None of these

Ans: (B)

% error= (6-1/6)/6 * 100 = 97%

17.Due to increase of 30% of price of cinema tickets the sale is reduced by 40%, then what will be the % change in income?

A.) 50% decrease
B.) 50 % increase
C.) 22% decrease
D.) 22% increase
E.) None of these

Ans: (C)

30 -40-30*40/100 = 30-52 = -22

So 22% decrease.

18.The ratio of salaries of Mehta and Dixit is 20:21 by what % is Dixit’s salary greater than that of Mehta?

A.) 5
B.) 10
C.) 15
D.) 20
E.) None of these

Ans: (A)

(21- 20)/20 * 100 = 5%

19.The Price of clock imported from Switzerland was Rs. 1200, Due to devaluation of rupee, it’s value increased to 2100.What is the % increase in the price of the clock due to devaluation of rupee?

A.) 25%
B.) 50%
C.) 75%
D.) 100%
E.) None of these.

Ans: (C)

(2100-1200)/1200 * 100 = 75%

20.The Selling price of 12 pens is equal to cost price of 20 pens. Find the Profit ?

A.) 50%
B.) 66.66%
C.) 11.11%
D.) 14.28%
E.) None of these

Ans: (B)

(20-12)/12 * 100 = 66.66%

21.The Indian cricket team played 25 one-day matches in a particular season of an year and won 40% of their matches, A new coach was then brought in , who wanted the success rate of 75% of the matches played by the end of the year. How many minimum no. of matches more should be played so as to achieve the target?

A.) 35
B.) 40
C.) 50
D.) 60
E.) None of these

Ans: (A)

25*40/100= 10;

10+x/ 40+x = 75/100

on solving x= 35

22.In a election there are two candidates a and B, B got 50% of the votes that A got. Had A got 200 votes less, there would have been a tie. How many cast their votes at all?

A.) 1500
B.) 1200
C.) 1000
D.) 900
E.) None of these

Ans: (B)

let B got x votes, then A got 2x, now 2x-200 = x+200

x=400

total votes= x+2x= 3x = 1200

23.Bhupesh sold an article marked at 4000 after four successive discounts of 10%, 15%, 20% and 25%, instead if he sold it 30% discount, he would have realized

A.) 964 more
B.) 964 less
C.) 800 more
D.) 1000 more
E.) None of these

Ans: (A)

S.P.= 90/100 * 85/100 * 80/100 * 75/100 * 4000 = 1836

if he sold at 30% discount then S.P = 4000*70/100 =2800

so he will realized 2800 - 1836 = 964 more

24. The population of a village is 7500. 42% of the population are females and rest males. The total no. of literate person in the village is 2370 while there are 90 more male literates compared to female literate. What is the % of literate males out of total number of males in village?

A.) 30%
B.) 35%
C.) 40%
D.) 50%
E.) None of these

Ans: (C)

No. of females = 7500*0.42 = 3150

No. of males = 7500-3150 =4350

let literate male and female are x and y respectively.

x+y= 2370

difference of illiterate male and female =90

So (4350-x)- (3150-y) = 90

on solving x-y = 1110

x= 1740

required % = 1740/4350 * 100 = 40%

25. A, B and C invest in a partnership in the ratio 4:7:11, if the end of the Profit was distributed in the ratio 24: 35: 77, then find the ratio of the time they invested?

A.) 7:11:5
B.) 6:5:7
C.) 7:5:11
D.) 6:5:11
E.) None of these

Ans: (B)

let the time ratio will be p:q:r

so 4p:7q:11r= 24:35:77

on solving p:q:r= 6:5:7

Banking Quantitative Aptitude Quantitative Quiz

Quantitative Questions - 6

1.) If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

A) 50.75
B) 52
C) 51.25
D) 54
E) None of these.

Ans: (C)
Sum = (50*100)/(2*5) = Rs. 500
Amount = 500(1+5/100)^2 = 551.25
interest =551.25- 500 = Rs 51.5

2.) 5 years ago, the average age of P, Q and R was 25 year; 7 years ago the average age of Q & R was 20 years. Find the present age of P?

A) 30
B) 35
C) 36
D) 40
E) 90

Ans: (C)
Present age of P+Q+R = 25*3+ 5*3= 90 year
Present age of Q+R= 20*2 + 7 *2 = 54 year
present age of P = 90-54 = 36 year.

3.) A dealer mixes tea costing Rs. 6.92 per kg with tea costing Rs. 7.77 per kg and sells the mixture at Rs. 8.80 per kg and earns a profit of 17 .5 % on his sale price. In what proportion does he mix them?

A) 17:13
B) 2:3
C) 3:2
D) 13:17
E) None of these.

Ans: (C)
Let us first find the cost price (C.P.) of the mixture. If S.P. is Rs. 100, profit is 17.5
Therefore C.P. = Rs. (100 - 17.5) = Rs. 82.5
If S.P. is Rs. 8.80, C.P. is (82.5× 8.80)/ 100 = Rs. 7.26
C.P. of the mixture per kg = Rs. 7.26
2nd difference = Profit by selling 1 kg. of 2nd kind @ Rs. 7.26
= Rs. 7.77 – Rs. 7.26 = 51 paise
1st difference = Rs. 7.26 – Rs. 6.92 = 34 paise
We have to mix the two kinds in such a ratio that the amount of profit in the first case
must balance the amount of loss in the second case.
Hence, the required ratio = (2nd diff) : (1st diff.) = 51 : 34 = 3 : 2.

4.) A sum of Rs. 46875 was lent out at simple interest and at the end of 1 year 8 months the total amount was Rs. 50000. Find the rate of interest percent per annum.

A) 2.5%
B) 5%
C) 4%
D) 6%
E) None of these.

Ans: (C)
Interest= Rs. 50,000 - 46875 = Rs. 3125
1 year 8 month = 5/3 year
so 3125= (46875*r*5)/(3*100)
on solving this r = 4%

5.) In what ratio will the total wages of the workers of a factory be increased or decreased if there be a reduction in the number of workers in the ratio 15 : 11 and an increment in their wages in the ratio 22 : 25.?

A) 5:6
B) 6:5
C) 25:36
D) 125:33
E) None of these.

Ans: (B)
Let x be the original number of workers and Rs. y the (average) wages per workers.
Then the total wages before changes = Rs. xy.
After reduction, the number of workers = (11 x)/15
After increment, the (average) wages per workers = Rs.(25 y)/22
The total wages after changes = (11x/15) × (25y/22) =5xy/6
Thus, the total wages of workers get decreased from Rs. xy to Rs. 5xy/6
Hence, the required ratio in which the total wages decrease is xy:5xy/6 = 6:5

6.) Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A) 6:9:13
B) 7:8: 19
C) 2:3:4
D) None of these
E) Can’t be determined.

Ans: (C)
math : Physics : bio = 5:7:8
After increment 5*140/100 : 7*150/100 : 8*175/100
14:21:28= 2:3:4

7.) A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

A) 2000
B) 2500
C) 2660
D) 2700
E) None of these.

Ans: (C)
Remain profit for A, B & C
7400*95/100= 7030
A:B:C= 6500*6 : 8400*5 : 10,000*3 = 39:42:30
Share of B= 7030*42/111 = Rs. 2660

8.) Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7:9, If each saves Rs. 50 per day, their daily incomes in Rs. are

A) 40, 50
B) 50, 40
C) 400, 500
D) None of these
E) Can’t be Determined

Ans: (C)
let earning= 4x : 5x;
expences= 7y:9y
saving = income - expences
4x-7y= 5x-9y = 50
on solving both eqn. x=100
So Daily income are Rs. 400 and Rs. 500

9.) Aman begin a business with rupees 2100 and join afterwards by Kamal with rupees 3600, After how many months Kamal join if the profit at the end of the year are divided equally.

A) 4 months
B) 5 months
C) 6 months
D) 7 months
E) 9 months

Ans: (B)
let Kamal work for y months.
2100* 12 = 3600 * y ;
y = 7 months .
so duration after kamal join = 12-7 = 5 months.

10. A shopkeeper Purchase a chair mark at rupees 800, at two successive discount of 10% and 15% respectively. He spent Rs. 25 on transportation and sold the chair for Rs. 800.Find his gain/loss percent?

A) Gain 25%
B) Loss 25 %
C) Gain 11.11 %
D) Loss 11.11 %
E) No gain no Loss

Ans: (A)
marked Price =800
Seling price after discount= 800*90/100*85/100 = 612
Total price including transportation = 612 + 25 = 637
selling it to 800 there would be gain
so gain % = (800 - 637)/637 *100 = 25 % approx

Banking Quantitative Aptitude Quantitative Quiz

Quantitative Questions - 5

Quantitative Questions on Profit & Loss

1. The cost price of an article is 80% of its marked price for sale. How much per cent does the tradesman gain after allowing a discount of 12%?

(a) 20
(b) 12
(c) 10
(d) 8
(e) none of these

Ans: (c)
Let MP = 100, CP = 80
SP = 88
P % = 10%

2. A reduction of 10% in the price of tea enables a dealer to purchase 25 kg more tea for Rs. 22, 500/- what is the reduced price per kg of tea?

(a) Rs. 70/-
(b) Rs. 80/-
(c) Rs. 90/-
(d) Rs. 100/-
(e) none of these

Ans: (c)
25 kg = 2250
1 kg = 90

3. An article is sold at a certain fixed price. By selling it at 2/3 of that price, one losses 10%. The gain percent on selling it at the original Price is:

(a) 20
(b) 33.33
(c) 35
(d) 40
(e) none of these

Ans: (c)
Let CP = 100
2/3 SP = 90
SP = 135
P% = 35%

4. A sells an article to B for Rs. 45, 000/- losing 10% in the transaction. B sells it to C at a price which would have given a profit of 10% to A. By what per cent does B gain?

(a) 75/2
(b) 100/3
(c) 200/9
(d) 150/7
(e) none of these

Ans: (c)

5. A person bought a horse and a carriage for Rs. 20,000. Later, he sold the horse at 20% profit and the carriage at 10% loss. Thus, he gained 2% in the whole transaction. The cost price of the horse was

(a) Rs. 7, 200/-
(b) Rs. 7, 500/-
(c) Rs. 8, 000/-
(d) Rs. 9, 000/-
(e) none of these

Ans: (c)
Let CP of Horse = x
According to questions
X * 20/100 – (20,000 – x) * 10/100 = 20, 000 * 2/100
x = 8,000

6. A merchant has announced 25% rebate on prices of ready- made garments at the time of sale. If a purchase need to have a rebate of Rs. 400/-, then how many shirts, each costing Rs. 320/-, should he purchase?

(a) 10
(b) 7
(c) 6
(d) 5
(e) none of these

Ans: (d)
The cost of rebate of on a shirt = 25/100 * 320 = 80
No of shirts for taking the rebate of Rs. 400
= 400/80 = 5

7. A merchant purchases a wristwatch for Rs. 450/- and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. Then the list price (in rupees) of the wristwatch is :

(a) 500
(b) 600
(c) 750
(d) 800
(e) none of these

Ans: (b)
MP = 450 * 120/100 * 100/90 = 600

8. A sells an article to B at 15% profit. B sells it to C at 10% loss. If C pays Rs. 517.50/- for it then A purchased it at:

(a) Rs. 500/-
(b) Rs. 7,50/-
(c) Rs. 1,000/-
(d) Rs. 1, 250/-
(e) none of these

Ans: (a)
Let CP of A be x Rs
According to questions
115x/100 * 90/100 = 517.5
x = 500

9. Ram donated 4% of his income to a charity and deposited 10% of the rest in a Bank. If now he has Rs. 8, 640/- left with him, then his income is:

(a) Rs. 12, 500/-
(b) Rs. 12, 000/-
(c) Rs. 10, 500/-
(d) Rs. 10, 000/-
(e) none of these

Ans: (d)
Le income of Ram = x
So, x = 94/100 * 90/100 = 8640
x = 10, 000

10. If the length of a rectangle is increase by 10% and its breadth is decreased by 10%, then its area :

(a) Decreased by 1%
(b) Increases by 1%
(c) Decreases by 2%
(d) Remains unchanged
(e) none of these

Ans: (a)
10 – 10 – (10 * 10)/ 100 = -1

Banking Data Interpretation Quantitative Aptitude Quantitative Quiz SBI PO 2015

Data Interpretation Questions - 2

Directions (1-5): Study the following graph carefully to answer the question given below it.

Production of Sugar (in thousand tonnes) by three different sugar factories over the years.

1. For which of the following pairs of years the total production of the three companies together is equal?

(A)1993 – 1994
(B) 1995 – 1997
(C)1996 – 1998
(D) 1994 – 1995

(a) B only
(b) C only
(c) D only
(d) Both C and D
(e)none of these

Ans: (d)

2. In which of the following years for company ‘A’ the per cent rise/fall from the previous year is the maximum?

(a)1996
(b)1993
(c)1995
(d)1998
(e)none of these

Ans: (a)
Percentage increase in 1996=(60 -40)/40 * 100 = 50%

3. Average production per year for company ‘B’ is approximately what per cent of the average production per year for company ‘C’?

(a)105%
(b)85%
(c)107%
(d)93%
(e)none of these

Ans: (d)
Average production per year for company B=(50 + 55 + 45 + 70 + 50 + 60 + 80)/7 =410/7
Average production per year for company C=(55 + 40 + 60 + 75 + 60 + 80 + 70)/7 =440/7
Required Percentage
= 410/440 * 100 = 93%

4. What is the percent rise in production of company ‘C’ in 1996 from 1995?

(a)20%
(b)25%
(c)18%
(d)15%
(e)none of these

Ans: (b)
Required Percentage = (75 – 60)/60 * 100 = 25%

5. What is the difference between the average production of the three companies together in 1997 and the average production of the three companies together in 1999 in thousand tonnes.?

(a)20
(b)15
(c)17
(d)22
(e)none of these

Ans: (b)
Required difference
= (80 + 70 + 60)/3 – (60 + 55 + 50)/3
= 210/3 – 165/3 = 70 – 55
15 thousand tonnes

Directions (6-10): Study the following graph carefully to answer the question given below it.

Production of paper (in lakh tonnes) by three different company A,B and C over the years

6. What is the difference between the production of company C in 1999 and the production of company A in 2004?

(a)50,000 tonnes
(b)500,00000 tonnes
(c)50,00,000 tonnes
(d)5,00,000 tonnes
(e)none of these

Ans: (d)
Required difference = 50 – 45 = 5 lakh tonne
= 5,00,000 tonnes

7. What is the percentage increase in production of company ‘A’ from 2000 to 2001?

(a)37.5
(b)38.25
(c)35
(d)36
(e)none of these

Ans: (a)
Required percentage = (55 – 40)/40 * 100
= 75/2 = 37.5%

8. For which of the following years the percentage of rise/fall in production from the previous year is the maximum for company B?

(a)2000
(b)2001
(c)2003
(d)2002
(e)none of these

Ans: (b)
In 2001 =(60 -50)/60 * 100 = 16.66%

9. The total production of company C in 2001 and 2002 is what percentage of the total production of company A in 1999 and 2000?

(a)95
(b)90.50
(c)110
(d)133.33
(e)none of these

Ans: (d)
Required percentage = (60 + 60)/(50 + 40) * 100
120/90 * 100 = 133.33%

10. What is the difference between the average production per year of the company with highest average production and the company with lowest average production in lakh tones?

(a)3.17
(b)4.33
(c)4.17
(d)3.33
(e)none of these

Ans: (c)
Average production of company A
= (50 + 40 + 55 + 45 + 60 + 50)/6
= 300/6 = 50 lakh tonnes
Average production of company B
= (55 + 60 + 50 + 55 + 50 + 55)/6
= 325/6 = 54.17 lakh tones
Average production of company C
= (45 + 50 + 60 + 60 + 45 + 40)/6
= 300/6 = 50 lakh tones
Required difference = 54.17 – 50
= 4.17 lakh tones

Banking Quantitative Aptitude Quantitative Quiz

Quantitative Questions - 4

Math Questions on Profit & Loss

Cost Price-The price at which an article is purchased is called its cost price (C.P.)

Selling Price-The price at which the article is sold is called its selling price (S.P.)

If the cost price (C.P.) of the article is equal to the selling price (S.P.), Then there is no loss or gain.

If the selling price (S.P.) > cost price (C.P.), then the seller is said to have a profit or gain,

Gain or Profit = S.P. - C.P.

If the cost price (C.P.) > selling price (S.P.), then the seller is said to have a loss,

Loss = C.P. - S.P.

Gain% = {Gain*100}/{C.P.}

Loss% = {Loss*100}/{C.P.}

S.P.= {(100+Gain%/100)x C.P}

S.P.= {(100-Loss%/100)x C.P}

C.P.= {(100)/(100+Gain%)x S.P}

C.P.= {(100)/(100-Loss%)x S.P}

If an article is sold at a profit/gain of 30%, then S.P. = 130% of the C.P.

If an article is sold at a loss of 20%, then S.P. = 80% of the C.P.

When there are two successive Profit of x % and y % then the resultant profit per cent is given by

[x + y+ (x*y/100)]

If there is a Profit of x% and loss of y % in a transaction, then the resultant profit or loss% is given by

[x – y - (x*y/100)]

Note- For profit use sign + in previous formula and for loss use – sign.

if resultant come + then there will be overall profit . if it come – then there will be overall loss.

If a cost price of m articles is equal to the selling Price of n articles, then Profit percentage

(m-n)/n×100%

If m part is sold at x% profit , n part is sold at y % profit, and p part is sold at z% profit and Rs. R is earned as overall profit then the value of total consignment

R×100 / (mx+ny+pz)

A man purchases a certain no. of article at m a rupee and the same no. at n a rupee. He mixes them together and sold them at p a rupee then his gain or loss %

[{2mn/(m+n)p} -1]× 100

Note += profit ,- = loss

When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then in this transaction the seller always incurs a loss given by: = {x^2/100}%

A single discount equivalent to discount series of x% and y% given by the seller is equal to

(x +y - xy/100)%

If a seller marks his goods at x% above his cost price and allows purchasers a discount of y % for cash, then overall gain or loss

(x – y –xy/100)%

Profit or loss according to sign .+ = gain, - = loss

If a trader professes to sell his goods at cost price, but uses false weights, then

Gain% = {(Error)/(True value - Error)x 100] %

1. If selling price is doubled, the profit triples. Find the profit percent?

A) 100%
B) 116.67%
C) 200%
D) 300%
E) None of these

Ans: (A)

Let C.P. be Rs. x and S.P. be Rs. y.

Then, 3(y - x) = (2y - x) y = 2x.

Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.

So profit % =100%

2. Abhishek purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

A) 5.4
B) 5.6
C) 6.5
D) 4.5
E) None of these

Ans: (B)

Cost price of 1 Toy = 375/12= 31.25

Selling price of 1 toy = Rs.33

Profit= Rs (33-31.25) =1.75

Profit% = 1.75/31.25*100= 5.6

3. A trader allows a Discount of 5% for cash payment. How much approx % above cost price must he mark his goods to make a profit of 10%?

A) 8.9%
B) 10%
C) 12.75%
D) 15.8%
E) None of these

Ans: (D)

10 = x-5 – 5x/100

19x/20 = 15; x=15.789% = approx 15.8%

4. 1/3 of a commodity is sold at 15% profit, ¼ is sold at 20% profit and the rest at 24% profit. If the Total profit is Rs. 80 is earned then find the value of commodity?

A) 350
B) 410
C) 400
D) 300
E) None of these

Ans: (C)

Part sold at 24% profit = 1-(1/3+1/4) = 5/12

Value of commodity = (80×100) / (1/3*15+1/4*20+5/12*24)= 400

5. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A) 2200
B) 2400
C) 2500
D) 2000
E) None of these

Ans: (D)

Let CP is x.

Then (1920-x)/x*100= (x-1280)/x*100

On solving x=1600

Selling Price = 1600*125/100= Rs. 2000

6. A man purchases a certain no. of apple at 5 per rupee and same no. at 4 per rupee. He mixes them together and sells them at 4 per rupee. What is his gain or loss%?

A) Gain 20 %
B) Gain 11.11%
C) Loss 11.11%
D) Loss 20 %
E) None of these

Ans: (B)

Gain or loss = [2*5*4/4(5+4) - 1] × 100 % = 11.11%

Sign is + ive so gain 11.11%

7. Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

A) 33.33%
B) 66.66%
C) 44%
D) 50%
E) None of these

Ans: (C)

Lcm of 5&6 =30

Cost price of 30 articles= 5/6*30 = 25

Selling Price of 30 articles = 6/5*30 =36

% profit = (36-25)/25*100= 44%

8. On selling 17 toys at Rs. 720, there is a loss equal to the cost price of 5 toys . The cost price of a Toy is:

A) Rs. 50
B) Rs. 60
C) Rs. 65
D) Rs. 70
E) None of these

Ans: (B)

Cost price of 17 toys – Selling price of 17 toys = cost Price of 5 toys

Cost price of 12 toys = selling Price of 17 toys= 720

Cost price of 1 toy= 720/12= 60

9. A man purchases 10 Cows at Rs. 3000 each. 1 Cow died. He sold 2 Cows at 5% loss, at what rate he should sale the remaining Cows, so as to gain a Profit of 10 % on the total Cost?

A) Rs.4000
B) Rs.3000
C) Rs.3900
D) Rs. 4500
E) Rs. 4200

Ans: (C)

Selling Price With Profit of 10 % of total cost = 3000*10*110/100= 33000

Selling Price of 2 cows with 5% loss= 6000*95/100= 5700

Difference = 33000-5700= 27300;

So rate of the cows for selling to gain 10% profit on total = 27300/7= Rs. 3900

(because 1 cow died so remaining= 10-1-2=7)

10. A shopkeeper sells some articles at the profit of 25% on the original price. What is the exact amount of profit? To find the answer, which of the following information given in Statements I and II is/are Sufficent?

I. Sale price of the article

II. Number of articles sold

A)Only I is sufficient.
B)Only II is sufficient.
C)Both I & II are sufficient.
D)Either I or II are sufficient.
E)Both I & II are not sufficient.

Ans: (C)
Both I & II are sufficient to find the exact amount of profit .

Banking Ibps Clerk Ibps PO Quantitative Aptitude Quantitative Quiz SBI PO 2015

Quantitative Questions - 3

Directions (1-4): Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

1. What is the rate of interest p.c.p.a.?

I. An amount doubles itself in 5 years on simple interest.

II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.

III. Simple interest earned per annum is Rs. 2000.

1)I & II only
2)II and III only
3)I only
4)All I, II and III
5)I only or II and III only

Ans: (5)

I.(P× r× 5)/100 = P , r= 20

II.P(1+r/100)^2 –P- (P×r×2)/100= 400; Pr^2 =4000000.

III.(P×r×1)/100= 2000; Pr= 200000

From II and III

Pr^2 ÷ Pr = 20; r=20

So Answer can be given by either I only or II and III only.

2. What is the percent profit earned by the shopkeeper on selling the articles in his shop?

I. Labelled price of the articles sold was 130% of the cost price.

II.Cost price of each article was Rs. 550.

III. A discount of 10% on labelled price was offered.

1)Only I
2)Only II and III
3)Only I and III
4)All I,II and III
5) Can’t be answered with I, II and III

Ans: (3)

I. Let C.P. be Rs. x.

Then, M.P. = 130% of x = Rs. 13x/10

III. S.P. = 90% of M.P.

Thus, I and III give, S.P. = Rs. (90/100)x(13x/10)= Rs.117x/100

Gain = Rs.(117x/100)- x = Rs.17x/100

Thus, from I and III, gain % can be obtained.

Clearly, II is redundant.

3. What is the length of a running train P crossing another running train Q?

I.These two trains take 18 seconds to cross each other.

II.These trains are running in opposite directions.

III.The length of the train Q is 180 metres.

1)I only
2)II and III only
3)I and III only
4)All I,II and III only
5)Can’t be answered with I, II and III.

Ans: (5)

Let the length of the train P be x metres.

II. These trains are running in opposite directions.

III. Length of the train Q is 180 m.

I. Time taken by P to cross Q =(180 + x)/ Relative Speed

(180 + x)/ Relative speed = 18

Thus, even with I, II and III, the answer cannot be obtained.

4. How many marks did Tarun secure in English?

I. The average mark obtained by Tarun in four subjects including English is 60.

II. The total marks obtained by him in English and Mathematics together are 170.

III. The total marks obtained by him in Mathematics and Science together are 180.

1)I and II only
2)II and III only
3)I and III only
4)All I, II and III.
5)None of these .

Ans: (5)

From I, total marks in 4 subjects = (60 x 4) = 240.

From II, E + M = 170

From III, M + S = 180

All Obtion are not true so None of these is the current Ans.

5. Prashant invested a certain sum at simple interest & Vikram invested same sum at compound interest. The ratio of rates (in % per annum) of simple and compound interest is 2:1. After 2 year two of them receive equal amounts, then at what rate did Vikram invest ?

1)50 %
2)100 %
3)150%
4)200 %
5)Can’t be Determined.

Ans: (4)

Let rate which invested by Prashant : rate which invested by vikram = 2x:x

(P*2x*2)/100 = P[(1+x/100)^2-1]

By solving this , we get x=200%

So rate at which Vikram invested = 200%

6. In a school there are total of 50 students in class X, who are divided in three sections A, B and C. Section A and B have equal no. of students. All the students of the class wrote a test. The average marks obtained by the section A and B together is 52.5. The average marks obtained by the section A and C together is 60. The average marks obtained by the section B and C together is 70. The average marks obtained by the students of sections A, B and C together is 60. How many Students are there in Section C.

1)10
2)15
3)20
4)Can’t be determined
5)None of these

Ans: (1)

Let the no. of students in A, B and C is a, a,and c.

Let the marks obtained by A , B and C is x,y and z.

Average of marks by class A and B= 52.5

(x+y)/2a = 52.5

Same as …(y+z)/(a+c)= 60

(x+z)/(a+c)=70

(x+y+z)/(a+a+c)= 60

On solving this a=2c

total no. of students =50

2a+c=50

So c=10.

7. A group consists of m equally efficient workers. A piece of work was started by one of them. The p’th worker (where 2 less than or equal to p less than or equal to m) joined the work (p-1)x days after the (p-1)’th worker joined The work was completed in mx days after the m’th worker joined. The 1’st worker received a share of Rs.5500 out of total Rs. 38500 paid to the group for completing the work . Find m ?

1)8
2)9
3)10
4)11
5) None of these

Ans: (3)

Time taken to complete the work = x+ 2x+3x+4x+…..+(p-1)x+….mx= mx(m+1)/2

Let the work done by each worker per day be k units.

Total Work=work done by 1’st worker+ work done by 2’nd worker +…..+ work done by m’th worker .

=k(x+2x+3x+…+mx)+k(2x+3x+4x+…+mx)+k(3x+4x+5x+…+mx)+….+kmx

= k(x)+ k2(2x)+k3(3x)+…..+km(mx)

= kx(1+2^2+3^2+….+m^2)

Part of total wages obtain by 1st worker = {kxm(m+1)/2}/ {kxm(m+1)(2m+1)/6)

= 5500/ 38500

3/(2m+1)= 55/385 ;

m=10.

8. A car travelled a distance of 900 km. it developed an engine problem after travelling of Some distance. It travelled remaining distance at 3/5th of its speed.it reached 2 hours late.if the engine problem had developed after it had travelled for another 150 km. it would have reached 1 hour late than the time it actually reached . Find the distance it travelled without any problem and its speed over that part of journey (in km, kmph)

1)500 , 100
2) 600, 100
3) 500 150
4) 600, 150
5) None of these

Ans: (2)

Let the engine problem happen at x km Distance and speed over entire part of journey is s km/hr.

x/s + (900-x) / (3x/5) = 900/s+ 2 ------eqn(1)

(x+150)/s + 900-(x+150) /(3x/5) = 900/s +1 --------eqn(2)

Eqn(2)- Eqn(1)

x= 600 km and speed s= 100km/hr

9. The price of radio at the beginning of a year was Rs. 3000. It increased by x % and then decreased by y % over the year. It increased by x % and then decreased by y % over the next year too. At the end of the second year, the price of radio was Rs. 3000. Which of the following can be true ?

1) x>y
2) x=y
3) x<y
4) none of these
5) None of these

Ans: (1)

Price of radio at the end of 1st year = 3000(1+x/100)(1-y/100)

Price of it at the end of next year = 3000(1+x/100)(1-y/100)(1+x/100)(1-y/100).

It is also 3000.

so taking obtion consideration when x=y then so price = 3000(1+y/100)^2(1-y/100)^2 which is less than 3000

So for it to be equal x>y.

10. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

1) 3/91
2) 1/22
3) 5/24
4) 2/91
5) 3/24

Ans: (4)

5c3/15c3 = 2/91

11. Two partners invested Rs. 1250 and Rs.850 respectively in a business. Both the partners distribute 60% of profit equally and distribute the rest 40% as the interest of their capitals .If one partner received Rs. 30 than other.Find the total Profit .

1)Rs. 400
2)Rs. 375.84
3)Rs. 393.75
4)Rs. 380.25
5)None of these

Ans: (3)

A’s 40% profit / B’s 40 % profit = 1250/850 = 25/17

Using componendo & Dividendo

40% profit of A and B / 30 = 42/8

So total profit = 42/8 *30*(100/40)= Rs. 393.75

12. If the circumference of one circle is 5/2 times that of other , how many times the area of smaller circle is the bigger one ?

1)4/25
2)25/24
3)25/4
4)24/25
5) None of these

Ans: (3)

Ratio of circumference = 5/2

So ratio of area = (5/2)^2 = 25/4

13. If (p/q)-(q/p)=21/10 then what is the value of(4p/q)+(4q/p) ?

1)58/5
2)59/5
3)121/105
4)21/105
5)105/121

Ans: (1)

Let p/q=a then q/p=1/a

a -(1/a)=21/10

a=5/2

=>4(5/2)+4(2/5)

(20/2)+(8/5)

(100+16)/10

=>58/5

14. A tank has a leak, which would empty it in 8 hours. A tap is turned on which fills at the rate of 4 liters per minute and the tank is now emptied in 12 hours. Find the capacity of the tank.

1)5670 lit
2)5760 lit
3)6570 lit
4)6750 lit
5)None of these

Ans: (2)

1/8 * 1/x = 1/12

solving we get,

x = 24

so total capacity is, 24*4*60 = 5760 lt..

In 1 minute a tap fill the tank 4 litre

so,in 8 hours=(8*60)minute=480 minute a tap fill the tank (480*4)=1920 litre.

according to question 1920 litre will be emptied in 8 hours.

so,in 12 hours it will be emptied 2880 litre.

again,the tap fill the tank 4 litre in 1 minute.

so,in 12 hours=720 minutes the tap fill the tank (720*4)=2880 litre

so,according to question as the two works(filling the tank & empty the tank) are going on in 12 hours,so the capacity of the tank=(2880+2880)litre=5760litre

15. By Selling a article for Rs. 8260, A merchant has a profit of 18%, but due to fall of demand he sell at only 2/3 of the profit %. Find the new Selling Price.

1)7000
2)7500
3)7800
4)7840
5) None of these

Ans: (4)

New Selling price = (8260*112) /118 = 7840

Banking Ibps Clerk Ibps PO Quantitative Aptitude Quantitative Quiz SBI PO 2015

Quantitative Questions - 2

Directions (1-3): What approximate value will come in place of question-mark (?) in the following questions?

1. (4.5)2 * 130.42 + 11.05 * 54.85 = ?

(1) 3120
(2) 3240
(3) 3850
(4) 3660
(5) None of these

Ans: (2)

2. 27% of 406 + 22% of 1125 = ?

(1) 440
(2) 466
(3) 334
(4) 358
(5) 318

Ans: (4)

3. 226·007 + 258·982 + 274·98 – 420·003 – 22·969 = ?

(1) 272
(2) 242
(3) 260
(4) 317
(5) 365

Ans: (4)

Directions (4-6): Find out the wrong number in the following number series.

4. 15, 42, 167, 512, 1239, 2570, 4767

(1) 42
(2) 167
(3) 512
(4) 1239
(5) None of these

Ans: (3)

5. 35, 110, 335, 1710, 1285, 1910

(1) 110
(2) 335
(3) 710
(4) 1285
(5) None of these

Ans: (4)

6. 110, 156, 210, 272, 342, 424

(1) 424
(2) 210
(3) 272
(4) 342
(5) None of these

Ans: (1)

7. In a school Teachers are 5200, out of which 45 percent are males and 70 percent of the males are either 30 years or older. How many males Teachers in School who are younger than 30 years?

(1) 805
(2) 702
(3) 600
(4) 700
(5) None of these

Ans: (2)
Total number of teachers in school = 5200
Number of male teachers = 45% of 5200 = 2340
Number of male teachers who are less than 30 years =
30% of 2340 = 702

8. The compound interest on a certain sum for 2 years at 20% per annum is Rs. 880. The simple interest on the same sum for double the time at half the rate percent per annum is:

(1) Rs. 800
(2) Rs.1000
(3) Rs. 1200
(4) Rs. 1600
(5) None of these

Ans: (1)
Let Principal = P
Compound interest at 20% per annum for 2 years
= 44% of P (20 + 20 + 4)
44% of P = 880
P = 2000
Simple Interest for 4 years at 10% per annum = 40% of 2000 = 800

9. Raman‘s monthly expenses is six time Ratan‘s monthly expenses. Ratan‘s monthly expenses is thirty percent more than Govind’s monthly expenses. Govind‘s monthly expenses is Rs. 64000 /. What is Raman’s Annual Expenses?

(1) 83,200/-
(2) 9, 98,400/-
(3) 4, 99,200/-
(4) 104,400/-
(5) None of these

Ans: (5)
Govind’s monthly expanses = 64000
Ratan’s monthly expenses = 64000 + 30% of 64000
= 83,200
Raman’s monthly expenses = 6 × 83,200 = 4, 99,200
Raman’s annual expenses = 59, 90,400

10. A man sells an article at a gain of 20%. If he had bought it at 20% less and sold it for Rs.264 less, he would have still gained 20%. The cost price of the article is:

(1) Rs.2400
(2) Rs.1100
(3) Rs.2640
(4) Rs.2635
(5) None of these

Ans: (2)
Let CP = a, SP = 1.2 a
New CP = 0.8 a
New SP = 1.2 × 0.8 a = 0.96 a
1.2a – 0.96a = 264
0.24a = 264
a = 1100

11. Suraj bought 40 book, 16 packets of pencils, 12 pack water colours and 14 copies. The price of one book is Rs.14/-, one packet of pencils is Rs. 44/- , one packet of water colour is 300/-and one copy is Rs 28/- more than the combined price of one book and one packet of pencils. How much amount did Suraj pay to the shopkeeper?

(1) Rs. 6982/-
(2) Rs.3452/-
(3) Rs.6334/-
(4) Rs.6012/-
(5) None of these

Ans: (5)
Required amount = 40 × 14 + 16 × 44 + 12 × 300 + 14 × (14 + 44 + 28)

Banking Quantitative Aptitude Quantitative Quiz SBI PO 2015

Data Interpretation Questions - 1

Directions (1-5) : Study the table carefully to answer the questions that follow.

Number of People(in 1000) staying in six different cities and the percentage of men.women and children in given cities.

1. What is the respective ratio of number of women from City R to those from City T?

(1)8401:9135
(2)7325:8462
(3)9124:10131
(4)6487:7758
(5)None of these

Ans: (1)
Required ratio
No. of women in city R : no. of women in City T
(54.20*31)/100 : (65.25*28)/100
= 8401 : 9135

2. Total number of people from City U forms approximately what per cent of the total number of people from all cities together?

(1)28
(2)11
(3)6
(4)24
(5)19

Ans: (5)
Required % = (56.80*100)/301.18 = 19%

3. Which city has the lowest number of children?

(1)R
(2)S
(3)T
(4)Q
(5)None of these

Ans: (4)
No. of children in city Q
32.16 * 25/100 thousand = 8040

4. What is the average number of men from all the cities together (in approx)?

(1)21450
(2)23200
(3)19445
(4)18620
(5)17580

Ans: (2)
Required average
= 1/6 (48.35*38/100 + 32.16*45/100 + 54.20*47/100
+ 44.42*35/100 + 65.25*54/100 + 56.8*53/100)
= 23200 approx.

5. Number of women from city S form what per cent of those from City P? (rounded off to two digits after decimal)

(1)87.08
(2)124.68
(3)114.84
(4)92.16
(5)None of these

Ans: (3)
Required % = (44.42 * 45/100 * 100) / (48.35*36)/100
= 114.84%

Directions (6- 10) : Study the pie-charts carefully to answer the questions that follow.

Percentage of employees in different departments of our organization out of which the number of employees promoted

6. The number employees who got promoted from the Marketing department is what per cent of total number of employees in that department? (rounded off to the nearest integer)

(1)12
(2)10
(3)3
(4)6
(5)None of these

Ans: (4)
Required % = (36*100) / (14*4200/100)
= 6.12 = 6%

7. What is the respective ratio of number of employees not promoted from HR department to those Production departments?

(a)216 : 389
(b)337 : 417
(c)389 : 216
(d)417 : 337
(e)None of these

Ans: (2)
No. of employee not promoted from HR department = (18 * 4200)/100 – 82 = 674
No. of employee not promoted from production department
= (21*4200)/100 – 48 = 834
Required ratio = 674 : 834 = 337 : 417

8. What is the number of employees working in the IT department?

(1)1020
(2)1045
(3)1150
(4)1140
(5)None of these

Ans: (5)
No. of employee in IT department
= (25*4200)/100 = 1050

9. Which department has the highest percentage of promoted employees to the total number of employees of that department?

(1)IT
(2)Marketing
(3)Maintenance
(4)HR
(5)None of these

Ans: (3)
% of promoted employee to the total no. of employee in maintenance department
= (46*100) / (10*4200/100)
= 10.95%

10. What is the percentage of employees promoted from the Maintenance and Accounts departments together to the total number of employees from these two departments? (rounded off to two digits after decimal)

(1)7.58
(2)6.27
(3)9.15
(4)8.34
(5)None of these

Ans: (1)
No. of employee promoted from maintenance & A/c departments = 46 + 24 = 70
Required % = (70 *100) / (22*4200/100)
= 7.58