Directions (1-2): Find the approximate value should come in the question mark ?
1. 12591/39.8+933/13-12.86*14.2+135=?
2. 33% of 1235+917/12-129% of 765+682=?
3.In simultaneous throw of two coins,the probability of getting at least one head is:
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:
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?
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?
7.The inner diameter of a well is 18meters. If the well is 28 metres deep then what is its volume?
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 ?
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?
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?
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?
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:
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?
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?
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?
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
1. 12591/39.8+933/13-12.86*14.2+135=?
- a) 340
- b) 330
- c) 325
- d)350
- e)355
2. 33% of 1235+917/12-129% of 765+682=?
- a) 160
- b) 180
- c) 200
- d) 210
- e)225
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
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
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
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
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
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
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
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
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
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
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
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
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
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