## Friday, 5 April 2019

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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 $x$:
$\frac{x}{2}+3=x-y$
(A) $x=y+2$
(B) $x=y+4$
(C) $x=2y+4$
(D) $x=2y+6$
27. The straight line $2x+3y+4=0$ touches the $x-axis$ at?
(A) $x=-2$
(B) (A) $x=2$
(C) $x=-1$
(D) $x=1$
28. What is the value of $x$ 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
26(D) 27(A) 28(B) 29(A) 30(C)
SOLUTIONS: GAT SAMPLE PAPER (QUANTITATIVE)
26. (D)
27. (A) The line touches the $x-axis$ when $y=0$. 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