GAT-A Business and Engineering Quantitative With Answers

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GAT-A Business and Engineering Quantitative

Sr. # Questions Answers Choice
1 If A > B an C < 0, then which of the following is not true ? AC &lt; BC A + C &gt; B + C A - C &lt; B - C All of the above
2 If a + b > 7 and a - b > 5, then which of the following gives all possible values of a and only possible value of a ? a &gt; 6 a &lt; 5 a &gt; 4 a &lt; 7
3 If a > 0, b > 0 and a - b < 0, then ? a &lt; b a + b &lt;0 a &gt; b b - a &lt; 0
4 If xy > 0 and x < 0, which of the following negative ? -<i>x</i> -y y xy
5 If x and y are positive integers and x2 + 2y2 = 41, 2x2 + y2 = 34, then x2 = 6 8 75 9
6 If 4x+5 = 8x-1 , what is the value of x ? 3/5 - 5/3 - 3/5 4
7 If x is a positive number and x2 + 36 = 100, what is the value of x ? 6 8 14 64
8 If 1/x-y = 7, then x = <i>x</i> + 1/7 <i>x</i> - 1/7 1/7 - <i>x</i> <i>x</i>/7 -1
9 If 8110 = 3x-7 , what is the value of x ? 47 27 51 14
10 If 2x - 3 = 15, what is the value of (2x - 3)2 ? 81 227 ±225 225
11 If 1/2 x + 1/4 x + 1/8 x = 22, what is the value of x ? 88 44 1 24
12 If at - b = c - dt, what is the value of t in terms of a, b, c and d ? b-c/a-d a/b c/d b+c/a+d
13 If x - 5 = 9, what is the value of x2 - 5 ? 196 191 16 11
14 If 3x + 17 = 9 - x, what is the value of x ? 2 3 -2 -3
15 If 5x + 12 = 44, what is the value of 5x - 12 ? 24 32 20 22
16 If 3x + 9 = 18, what is the value of x + 3 ? 3 6 -3 36
17 3x2 - 27/x-3 and (x>0), is: less than 2<i>x</i>+9 equal to 2<i>x</i> + 9 greater than 2<i>x</i> + 9 cannot find
18 (a + b)(a - b) = a(a - b) - b(a - b) a(b - a) + b(a - b) a(a + b) - b(b + a) a(a - b) + b(b - a)
19 If a = -5 and b = 3 then -a2 b3 is: less than 0 equal to 0 greater than 0 options B and C
20 If x > y, then (x - y)(x + y) is : equal to (<i>x</i>-<i>y</i>)(<i>x</i>-<i>y</i>) less than (<i>x</i>-<i>y</i>(<i>x</i>-<i>y</i>) greater than (<i>x</i>-<i>y</i>)(<i>x</i>-<i>y</i>) options A and C
21 If x < 0, then -3x2 is: less thean (-3<i>x</i>)<sup>2</sup> greater than (-3<i>x</i>)<sup>2</sup> equal to (-3<i>x</i>)<sup>2</sup> greater than or equal to (-3<i>x</i>)<sup>2</sup>
22 If p2 - q2 = 48 and p - q = 12, what is the average of p and q ? 4 6 2 12
23 If 1/x +1/y = 1/z and xy = z, what is the average of x and y ? 1/2 1 <i>x</i> + <i>y</i> + <i>z</i>/3 <i>x</i> + <i>y</i> + <i>z</i>/2
24 The value of (5x + 6)(x + 12) - (5x - 6)(x + 3) is: 2(5<i>x</i><sup>2</sup> + 9<i>x</i>) 14 4 22
25 If x2 + y2 = 9 and (x - y)2 = 3, what is the value of xy ? 16 9 6 3
26 What is the value of x2 + 14x + 24, when x=854 ? 1000 100,000 741,296 742,398
27 The average of the polynomials, 2x2 + 5x - 6, 5x2 - 5x - 6 and 30 - 7x2 is: 14 18 6 5<i>x</i>
28 If x2 - y2 = 16 and x2 + y2 = 34, which of the following could be the value of xy ?
i. 15
ii. -15
iii. 45
 only 1 only 2 1 and 2 only 3 only
29 If x = 235 and y  = 117, then x2 - y2/x-y = ? 118 100 115 352
30 Which of the following is the average of x4 - 20, 40 - x4, and 3x + 4 ? <i>x</i><sup>4</sup> - 24 <i>x</i> + 8 x<sup>4</sup> + 3<i>x</i> + 24 <i>x</i> + 24
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