Data Sufficiency Questions and Answers

Q: What is the monthly salary of Prashant ? Statements: 1. Prashant gets 15% more than Sumit while Sumit gets 10% less than Lokesh. 2. Lokesh's monthly salary is Rs 2500.

Correct answer: Both 1 and 2 are sufficientStatement 2 gives Lokesh 2500. Statement 1 makes Sumit ten per cent less, that is 2250, and Prashant fifteen per cent more than Sumit, that is 2587.50. Statement 1 alone gives only ratios with no anchor, and statement 2 alone says nothing about Prashant, so both are required.

Q: What is Nitin's rank from the top in a class of forty students ? Statements: 1. There are ten students between Nitin and Deepak. 2. Deepak is twentieth from the top.

Correct answer: Neither 1 or 2 is sufficientStatement 2 places Deepak twentieth from the top and statement 1 puts ten students between him and Nitin, but Nitin may be on either side - ninth from the top or thirty-first. The two possibilities cannot be distinguished, so even both statements together fail to fix the rank.

Q: How is T related to K? Statements: 1. K has two sons; one of the sons is A. 2. The mother of T has only two sons - Aand B.

Correct answer: Both 1 and 2 are sufficientStatement 2 says T’s mother has only two sons, A and B, so T is a daughter and A is T’s brother. Statement 1 makes A a son of K, so K is the parent of A and therefore of T - T is K’s daughter. Neither alone links T to K, so both are required.

Important Instructions

101.

What is the monthly salary of Prashant ?

Statements:

1. Prashant gets 15% more than Sumit while Sumit gets 10% less than Lokesh.

2. Lokesh's monthly salary is Rs 2500.

A.1 alone is sufficient while 2 alone is not sufficient
B.2 alone is sufficient while 1 alone is not sufficient
C.Neither 1 nor 2 is sufficient
D.Both 1 and 2 are sufficient

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 2 gives Lokesh 2500. Statement 1 makes Sumit ten per cent less, that is 2250, and Prashant fifteen per cent more than Sumit, that is 2587.50. Statement 1 alone gives only ratios with no anchor, and statement 2 alone says nothing about Prashant, so both are required.

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102.

How is the girl in the photograph related to Kunal?

Statements:

1. Pointing to the photograph, Kunal said, "She is the mother of my father's only granddaughter".

2. Kunal has no siblings.

3. Pointing to the photograph, Kunal said, "She is the only daughter-in-law of my mother."

A.Any two of the three
B.Only 1 and 2
C.Only 2 and 3
D.Either only 3 or only 1 and 2

Answer: D

From 1, we conclude that the girl is either Kunal's or his brother's wife. But, according to 2, Kunal has no siblings.

So, from both 1 and 2, we conclude that the girl is Kunal's wife.

From 3, we find that the girl is the only daughter-in-law of Kunal's mother i.e. she is Kunal's wife.

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103.

What is Nitin's rank from the top in a class of forty students ?

Statements:

1. There are ten students between Nitin and Deepak.

2. Deepak is twentieth from the top.

A.1 alone is sufficient while 2 alone is not sufficient
B.2 alone is sufficient while 1 alone is not sufficient
C.Either 1 or 2 is sufficient
D.Neither 1 or 2 is sufficient

Answer: D

Correct answer: Neither 1 or 2 is sufficient

Statement 2 places Deepak twentieth from the top and statement 1 puts ten students between him and Nitin, but Nitin may be on either side - ninth from the top or thirty-first. The two possibilities cannot be distinguished, so even both statements together fail to fix the rank.

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104.

What is the total monthly salary of Vasu ?

Statements:

1. Vasu's basic salary is Rs 100 more than Rajan's salary who also serves in Vasu's company.

2. Other allowances drawn by Rajan besides his basic salary are Rs 2000 per month which is Rs 50 less than Vasu's salary.

3. Rajan's basic salary is Rs 1550 per month,

A.Only 2
B.Only 2 and 3
C.Only 1 and 2
D.All 1, 2 and 3

Answer: D

From 3, we have: Rajan's basic salary = Rs. 1550.

From 1, we have: Vasu's basic salary = Rs. (1550 + 100) = Rs. 1650.

From 2, we have: Rajan's other allowances = Rs. 2000 and Vasu's other allowances = Rs. 2050.

Therefore Vasu's monthly salary = Rs. (1650 + 2050) = Rs. 3700.

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105.

How is 'DATE' written in the code language ?

Statements:

1. DEAR is written as $#@? in that code.

2. TREAT is written as %?#@% in that code.

3. TEAR is written as %#@? in that code,

A.Only 1 and 2
B.Only 2 and 3
C.All 1, 2 and 3
D.Only 1 and either 2 or 3

Answer: D

Observing 1, 2 and 3, we find that similar letters have similar code symbols at the corresponding places in the code. So, this is direct-coding.

Thus, to find the code for DATE, we need the code for D which can be obtained from 1 only (i.e. $.) and the codes for A, T and E which can be obtained either from 2 or 3 (@, # and % respectively).

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106.

Who among Siddhartha, Nikunj, Vipul and Mukul is the youngest?

Statements:

1. Vipul is younger than Mukul but older than Siddhartha and Nikunj.

2. Mukul is the oldest.

3. Siddhartha is older than Nikunj.

A.Only 1
B.Only 1 and 2
C.Only 2 and 3
D.Only 1 and 3

Answer: D

From 1, we have: M > V, V > S, V > N ...(i)

From 2, we have: Mukul is the oldest ...(ii)

From 3, we have: S > N ...(iii)

Combining (i) and (iii), we get :M > V, V >S > N or M>V > S > N. Clearly, Nikunj is the youngest.

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107.

How is T related to K?

Statements:

1. K has two sons; one of the sons is A.

2. The mother of T has only two sons - Aand B.

A.1 alone is sufficient while 2 alone is not sufficient
B.2 alone is sufficient while 1 alone is not sufficient
C.Either 1 or 2 is sufficient
D.Both 1 and 2 are sufficient

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 2 says T’s mother has only two sons, A and B, so T is a daughter and A is T’s brother. Statement 1 makes A a son of K, so K is the parent of A and therefore of T - T is K’s daughter. Neither alone links T to K, so both are required.

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