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Choose the correct answer from the given options. Find answers and solution to the questions at the bottom of the page.

26. Consider the following equation. Solve for :

(A) 
(B) 
(C) 
(D) 

27. The straight line  touches the  at?
(A) 
(B) (A) 
(C) 
(D) 

28. What is the value of  in the following diagram?
(A) 5
(B) 6
(C) 7
(D) 8

29. What is the volume of a right-circular cylinder in cm³ whose radius is 2 cm, and height is 14 cm?
(A) 176
(B) 184
(C) 192
(D) 200

30. What is sum of the first 10 terms of the sequence: 1, 2, 4, 8, 16, … ?
(A) 1017
(B) 1020
(C) 1023
(D) 1026

ANSWERS: GAT SAMPLE PAPER (QUANTITATIVE)
26(D) 27(A) 28(B) 29(A) 30(C)

SOLUTIONS: GAT SAMPLE PAPER (QUANTITATIVE)

26. (D)

27. (A) The line touches the  when . Hence,

28. (B) This is right-triangle. So, by using Pythagoras theorem, we have

29. (A) By using formula for calculating volume of the right-circular cylinder, we have

30. (C) This is a geometric sequence with common ratio 2 and the first term is 1. By using formula for calculating sum of the n terms of a geometric sequence, we have

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