In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements andGive answer
1: How much was the total sale of the company ?
Statements:
I. The company sold 8000 units of product A each costing Rs. 25.
II.This company has no other product line.
2. What will be the total weight of 10 poles, each of the same weight ?
Statements:
I. One-fourth of the weight of each pole is 5 kg.
II. The total weight of three poles is 20 kilograms more than the total weight of two poles.
3. How many children does M have ?
Statements:
I. H is the only daughter of X who is wife of M.
II. K and J are brothers of M.
4.On which day in April is Gautam's birthday?
Statements:
I. Gautam was born exactly 28 years after his mother was born.
II. His mother will be 55 years 4 months and 5 days on August 18 this year.
5.What is the code for 'is' in the code language ?
Statements:
I. In the code language, 'shi tu ke' means 'pen is blue'.
II. In the same code language, 'ke si re' means 'this is wonderful'.
6. Among A, B, C, D, E and F, who is the heaviest ?
Statements:
I. A and D are heavier than B, E and F but none of them is the heaviest.
II. A is heavier than D but lighter than C.
7.What is the two-digit number?
I. The difference between the two digits is 3.
II. The sum of the two digits is 4 more than their difference.
8.What will be the ratio between the two digits in the two digit number?
I. The largest digit is 9.
II. The sum of the digits in the number is 5 times their difference.
9.How many New Year's greeting cards were sold this year in your shop ?
Statements:
I. Last year 2935 cards were sold.
II.The number of cards sold this year was 1.2 times that of last year.
10. How is Divya related to Shaloo ?
Statements:
I.Divya's mother is sister of Shaloo's father.
II. Shaloo is the daughter of Divya's grandfather's only child.
ANSWER KEY:
1(E)Explanation:
From I, total sale of product A = Rs. (8000 x 25) = Rs. 200000.
From II, we know that the company deals only in product A.
This implies that sale of product A is the total sale of the company, which is Rs. 200000.
2(C)Explanation:
From I, we conclude that weight of each pole = (4x5) kg = 20 kg.
So, total weight of 10 poles = (20 x 10) kg = 200 kg.
From II, we conclude that:
Weight of each pole = (weight of 3 poles) - (weight of 2 poles) = 20 kg.
So, total weight of 10 pojes = (20 x 10) kg = 200 kg.
3(D)Explanation:
From I, we conclude that H is the only daughter of M. But this does not indicate that M has no son. The information given in II is immaterial.
4(E)Explanation:Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in I.
5(E)Explanation:
In I and II, the common word is 'is' and the common code word is 'ke'. So, 'ke' is the code for 'is'.
6 (A)Explanation:
From I, we conclude that since none of A and D is the heaviest and each one of B, E and F is lighter than both A and D, so C is the heaviest.
7(E).Solution :Let the tens and unit digits be X and Y respectively.
Then,
From statement I, we have: X-Y = 3 ...(1)
From statement II, we have: (X+Y) = 3+4 = 7...(2)
Adding (1) and (2), we get 2X = 10 => X = 5
Putting X value in (1) or (2), we get: Y = 2
Required two digit number is 52.
Here the data in both Statements I and II together are necessary to find the answer,Hence the answer is option E.
8( B)Solution :
Let the tens and unit digits be X and Y respectively.
Statement I do not give the answer.
From statement II, we have:
(X+Y) = 5(X-Y)
(X+Y) = 5X-5Y
4X = 6Y
X/Y = 6/4 = 3/2
Therefore the required ratio = X/Y = X:Y = 3:2
Here, the data in Statement II alone are sufficient to find the answer, while the data in Statement I alone are not sufficient.
Hence the answer is option B.
9(E)Explanation:From both I and II, we find that the number of cards sold this year = (2935 x 1.2) = 3522.
10(C)Explanation:From I, we conclude that Divya's mother is Shaloo's aunt or Divya is Shaloo's cousin.Now, Divya's grandfather's only child is Divya's parent. So, from II, we conclude that Shaloo and Divya are daughters of the same parents i.e. Divya is Shaloo's sister.
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.
1: How much was the total sale of the company ?
Statements:
I. The company sold 8000 units of product A each costing Rs. 25.
II.This company has no other product line.
- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
2. What will be the total weight of 10 poles, each of the same weight ?
Statements:
I. One-fourth of the weight of each pole is 5 kg.
II. The total weight of three poles is 20 kilograms more than the total weight of two poles.
- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
3. How many children does M have ?
Statements:
I. H is the only daughter of X who is wife of M.
II. K and J are brothers of M.
- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
4.On which day in April is Gautam's birthday?
Statements:
I. Gautam was born exactly 28 years after his mother was born.
II. His mother will be 55 years 4 months and 5 days on August 18 this year.
- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
5.What is the code for 'is' in the code language ?
Statements:
I. In the code language, 'shi tu ke' means 'pen is blue'.
II. In the same code language, 'ke si re' means 'this is wonderful'.
- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
6. Among A, B, C, D, E and F, who is the heaviest ?
Statements:
I. A and D are heavier than B, E and F but none of them is the heaviest.
II. A is heavier than D but lighter than C.
- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
7.What is the two-digit number?
I. The difference between the two digits is 3.
II. The sum of the two digits is 4 more than their difference.
- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
8.What will be the ratio between the two digits in the two digit number?
I. The largest digit is 9.
II. The sum of the digits in the number is 5 times their difference.
- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
9.How many New Year's greeting cards were sold this year in your shop ?
Statements:
I. Last year 2935 cards were sold.
II.The number of cards sold this year was 1.2 times that of last year.
- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
10. How is Divya related to Shaloo ?
Statements:
I.Divya's mother is sister of Shaloo's father.
II. Shaloo is the daughter of Divya's grandfather's only child.
- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
ANSWER KEY:
1(E)Explanation:
From I, total sale of product A = Rs. (8000 x 25) = Rs. 200000.
From II, we know that the company deals only in product A.
This implies that sale of product A is the total sale of the company, which is Rs. 200000.
2(C)Explanation:
From I, we conclude that weight of each pole = (4x5) kg = 20 kg.
So, total weight of 10 poles = (20 x 10) kg = 200 kg.
From II, we conclude that:
Weight of each pole = (weight of 3 poles) - (weight of 2 poles) = 20 kg.
So, total weight of 10 pojes = (20 x 10) kg = 200 kg.
3(D)Explanation:
From I, we conclude that H is the only daughter of M. But this does not indicate that M has no son. The information given in II is immaterial.
4(E)Explanation:Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in I.
5(E)Explanation:
In I and II, the common word is 'is' and the common code word is 'ke'. So, 'ke' is the code for 'is'.
6 (A)Explanation:
From I, we conclude that since none of A and D is the heaviest and each one of B, E and F is lighter than both A and D, so C is the heaviest.
7(E).Solution :Let the tens and unit digits be X and Y respectively.
Then,
From statement I, we have: X-Y = 3 ...(1)
From statement II, we have: (X+Y) = 3+4 = 7...(2)
Adding (1) and (2), we get 2X = 10 => X = 5
Putting X value in (1) or (2), we get: Y = 2
Required two digit number is 52.
Here the data in both Statements I and II together are necessary to find the answer,Hence the answer is option E.
8( B)Solution :
Let the tens and unit digits be X and Y respectively.
Statement I do not give the answer.
From statement II, we have:
(X+Y) = 5(X-Y)
(X+Y) = 5X-5Y
4X = 6Y
X/Y = 6/4 = 3/2
Therefore the required ratio = X/Y = X:Y = 3:2
Here, the data in Statement II alone are sufficient to find the answer, while the data in Statement I alone are not sufficient.
Hence the answer is option B.
9(E)Explanation:From both I and II, we find that the number of cards sold this year = (2935 x 1.2) = 3522.
10(C)Explanation:From I, we conclude that Divya's mother is Shaloo's aunt or Divya is Shaloo's cousin.Now, Divya's grandfather's only child is Divya's parent. So, from II, we conclude that Shaloo and Divya are daughters of the same parents i.e. Divya is Shaloo's sister.