Data Sufficiency - Study Mode
[#76] Question : How many pages of book X did Robert read on Sunday ? Statements : I. The book has 300 pages out of which two-thirds were read by him before Sunday. II. Robert read the last 40 pages of the book on the morning of Monday.
Correct Answer
I alone is sufficient while II alone is not sufficient
Explanation
Solution: From I and II, we find that Robert read (300 x 2/3) i.e. 200 pages before Sunday and the last 40 pages on Monday. This means that he read [300 - (200 + 40)] i.e. 60 pages on Sunday.
[#77] Question : How is Tanya related to the man in the photograph ? Statements : I. Man in the photograph is the only son of Tanya's grandfather. II. The man in the photograph has no brothers or sisters and his father is Tanya's grandfather.
Correct Answer
(C) Either I or II is sufficient
Explanation
Solution: From I, we conclude that the man is the only son of Tanya's grandfather i.e. he is Tanya's father or Tanya is the man's daughter. From II, we conclude that the man's father is Tanya's grandfather. Since the man has no brothers or sisters, so he is Tanya's father or Tanya is the man's daughter.
[#78] Question : Four subjects - Physics, Chemistry, Mathematics and Biology - were taught in four consecutive periods of one hour each starting from 8.00 a.m. At what time was the Chemistry period scheduled ? Statements : I. Mathematics period ended at 10.00 a.m., which was preceded by Biology. II. Physics was scheduled in the last period. III. Mathematics period was immediately followed by Chemistry.
Correct Answer
Only I
Explanation
Solution: From I and II, we conclude that Mathematics period began at 9.00 a.m., Biology period began at 8.00 a.m. and Physics period began at 11 a.m. So, the Chemistry period began at 10.00 a.m. From I and III, we conclude that Mathematics period ended and Chemistry period began at 10.00 a.m.
[#79] Question : What is the total monthly salary of Vasu ? Statements : I. Vasu's basic salary is Rs 100 more than Rajan's salary who also serves in Vasu's company. II. Other allowances drawn by Rajan besides his basic salary are Rs 2000 per month which is Rs 50 less than Vasu's salary. III. Rajan's basic salary is Rs 1550 per month.
Correct Answer
Only II
Explanation
Solution: From III, we have: Rajan's basic salary = Rs. 1550. From I, we have: Vasu's basic salary = Rs. (1550 + 100) = Rs. 1650. From II, 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.
[#80] Question : Who is the tallest among six boys P, T, N, D, Q and R ? Statements : I. P is taller than D and N but not-as tall as T. II. R is taller than Q but not as tall as T. III. Q is not taller than T and R.
Correct Answer
(A) Only I and II
Explanation
Solution: From I, we have: P > D, P > N, T > P i.e. T > P > D > N or T > P > N > D ...(i) From II, we have: R > Q, T > R i.e. T > R > Q ...(ii) From III, we have: T > Q, R > Q ...(iii) Clearly, from (i) and (ii), we conclude that T is taller than each one of P, N, D, R and Q. So, T is the tallest.