Data Sufficiency - Study Mode

[#86] Question : How many students in a class play football ? Statements : I. Only boys play football. II. There are forty boys and thirty girls in the class.
Correct Answer

(D) Neither I nor II is sufficient

Explanation

Solution: It is not mentioned whether all the boys or a proportion of them play football.

[#87] Question : Who is C's partner in a game of cards involving four players A, B, C and D ? Statements : I. D is sitting opposite to A. II. B is sitting right of A and left of D.
Correct Answer

(C) Either I or II is sufficient

Explanation

Solution: Clearly, each of the given statements shows that B is sitting opposite to C or B is the partner of C.

[#88] Question : On a T.V. channel, four serials A, B, C and D were screened, one on each day, on four consecutive days but not necessarily in that order. On which day was the serial C screened ? Statements : I. The first serial was screened on 23rd, Tuesday and was followed by serial D. II. Serial A was not screened on 25th and one serial was screened between serials A and B.
Correct Answer

I alone is sufficient while II alone is not sufficient

Explanation

Solution: From I, we know that the serials were screened on 23rd, 24th, 25th and 26th. Clearly, D was screened second i.e. on 24th, Wednesday. From II, we know that one serial was screened between A and B. So, A and B were screened first and third, i.e. on 23rd and 25th. But, A was not screened on 25th. So, A was screened on 23rd and B on 25th. Thus, C was screened on 26th, Friday.

[#89] Question : How is Sulekha related to Nandini ? Statements : I. Sulekha's husband is the only son of Nandini's mother. II. Sulekha's brother and Nandini's husband are cousins.
Correct Answer

(C) Either I or II is sufficient

Explanation

Solution: From I, we conclude that Sulekha is the wife of Nandini's mother's only son i.e. Nandini's brother. Thus, Sulekha is Nandini's sister-in-law. From II, we conclude that Sulekha is the cousin of Nandini's husband, which implies that Sulekha is Nandini's sister-in-law.

[#90] Question : Can Ritesh retire from office X in January 2006, with full pension benefits ? Statements : I. Ritesh will complete 30 years of service in office X in April 2000 and desires to retire. II. As per office X rules, an employee has to complete minimum 30 years of service and attain age of 60. Ritesh has 3 years to complete age of 60.
Correct Answer

I alone is sufficient while II alone is not sufficient

Explanation

Solution: Clearly, the facts given in I and II contain two conditions to be fulfilled to get retirement and also indicate that Ritesh fulfills only one condition out of them.