# Verbal Reasoning - Data Sufficiency

### Exercise :: Data Sufficiency - Section 1

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 and

• (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.

31.

Question: What is Gagan's age ?

Statements:

1. Gagan, Vimal and Kunal are all of the same age.
2. Total age of Vimal, Kunal and Anil is 32 years and Anil is as old as Vimal and Kunal together.

 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

Explanation:

As given in I and II, we have: G = V = K, V + K + A = 32 and A = V + K.

Putting V + K = A in V + K + A = 32, we have: 2A = 32 or A = 16.

Thus, V + K = 16 and V = K. So, V = K = 8. Thus, G = 8.

32.

Question: In a certain code, '13' means 'stop smoking' and '59' means 'injurious habit'. What do '9' and '5' mean respectively in that code ?

Statements:

1. '157' means 'stop bad habit'.
2. '839' means 'smoking is injurious'.

 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

Explanation:

'59' means 'injurious habit' and '157' means 'stop bad habit' (from I). Thus, the common code number '5' stands for common word 'habit'. So, '9' represents 'injurious'. Hence, I is sufficient.

Also, '59' means 'injurious habit' and '839' means 'smoking is injurious'. Thus, the common code number '9' stands for common word 'injurious'. So, '5' represents 'habit'. Thus, II is also sufficient.,

33.

Question: How much money do Vivek and Suman have together ?

Statements:

1. Suman has 20 rupees less than what Tarun has.
2. Vivek has 30 rupees more than what Tarun has.

 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

Explanation:

From I, we have: S = T - 20.

From II, we have: V = T + 30.

Thus, from both I and II, we have: V + S = (T + 30) + (T - 20) = (2 T + 10).

So, to get the required amount, we need to know the amount that Tarun has.

34.

Question: Among Monika, Anita, Sonal, Ratna and Tanvy, who came last for the programme ?

Statements:

1. Monika came after Anita but not after Tanvy.
2. Ratna came after Tanvy but not after Sonal.

 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

Explanation:

From I, we have the order : A, M, T.

From II, we have the order: T, R, S.

Combining the above two, we get the order: A, M, T, R, S.

Thus, Sonal came last for the programme.

35.

Question: Who among P, Q, R, S and T is the lightest?

Statements:

1. R is heavier than Q and T but lighter than S.
2. S is not the heaviest.

 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

Explanation:

From I, we have: R>Q, R>T, S>R i.e. S>R>Q>T or S>R>T>Q.

From II, S is not the heaviest. So, P is the heaviest. Thus, we have: P > S > R > Q > T or P > S > R > T > Q. Hence, either T or Q is the lightest.