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51. Among P, Q, R, S and T, Q is the second tallest and S is immediate taller than the shortest. Who among them is in the middle when they stand in the order of their heights ?

Statements:

I. T is not the shortest.

II. R is taller than S but shorter than Q.

III. P ranks third in height above S when all are arranged in the order of height.

A. Only I and II

B. Either II only or I and III only

C. Only II

D. Only II and III

E. None of these

Explanation
  1.  A

1 is not enough

2 ‘We are friends’ should have only ‘We’ common with another statement, so enough to get value.

52. 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.

A. Only I

B. Either I only or II only

C. Only II

D. Only II and III

E. Only I and either II or III

Explanation

E 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.

53. What is the total monthly salary of Vasu ?

Statements:

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

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

Rajan’s basic salary is Rs 1550 per month,

A. Only II

B. Only II and III

C. Only I and II

D. Only I and III

E. All I, II and III

Explanation

E

54. Who is the tallest among six boys P, T, N, D, Q and R ?

Statements:

1. P is taller than D and N but not-as tall as T.

2. R is taller than Q but not as tall as T.

A. Only 2 follows

B. Both follows

C. None follows

D. Only 1 follows

E. Either A or B follows

Explanation
  1. B 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)

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.

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