Data Sufficiency - Study Mode
[#56] Question : Manoj, Prabhakar, Akash and Kamal are four friends. Who among them is the heaviest ? Statements : I. Prabhakar is heavier than Manoj and Kamal but lighter than Akash. II. Manoj is lighter than Prabhakar and Akash but heavier than Kamal.
Correct Answer
(A) I alone is sufficient while II alone is not sufficient
Explanation
Solution: From I, we have: P > M, P > K, A > P. Thus, A > P > M > K or A > P > K > M. So, Akash is the heaviest. From II, we have: P > M, A > M, M > K. Thus, A > P > M > K or P > A > M > K. So, either Akash or Prabhakar is the heaviest.
[#57] Question : Vinod's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vinod's salary ? Statements : I. Javed's salary is 75% that of Vinod's salary. II. Javed's salary is Rs 4500.
Correct Answer
(B) II alone is sufficient while I alone is not sufficient
Explanation
Solution: Statement I is merely an interpretation of the information contained in the question. However, Vinod's salary can be ascertained from II as follows : Let Vinod's and Javed's salaries be 4x and 3x respectively. Then, 3x = 4500 or x = 1500. Therefore Vinod's salary = 4x = Rs. 6000.
[#58] Question : What is Nitin's rank from the top in a class of forty students ? Statements : I. There are ten students between Nitin and Deepak. II. Deepak is twentieth from the top.
Correct Answer
(D) Neither I nor II is sufficient
Explanation
Solution: Since there are ten students between Nitin and Deepak, so Nitin may be eleven ranks above or below Deepak. Thus, Nitin may be 9th or 31st from the top.
[#59] Question : Which direction is Sunny facing now ? Statements : I. If Sunny turns to his right and again turns to his right, he will be facing North. II. If Sunny walks some distance and turns left and again walks some distance, then his face will be towards left of Dinesh who is facing South.
Correct Answer
(C) Either I or II is sufficient
Explanation
Solution: From I, we conclude that Sunny is facing South, since a person facing South shall face North on turning to his right, twice. From II, we know that after walking, Sunny shall face towards left of Dinesh facing South i.e. East and a person walking southwards shall face East on turning to 'his left. Thus, Sunny is facing South.
[#60] Question : T studies in which of the schools B, C, D, E and F ? Statements : I. T does not study in the same school as either R or J. II. R and J study in schools D and F respectively.
Correct Answer
(D) Neither I nor II is sufficient
Explanation
Solution: As given in I and II, R studies in school D and J studies in school F. So, T does not study in school D or school F. Thus, T studies in any one of the schools B, C or E.