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GAT-B Arts, Humanities & Social Science Quantitative
| Sr. # | Questions | Answers Choice |
|---|---|---|
| 1 | 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> |
| 2 | If p2 - q2 = 48 and p - q = 12, what is the average of p and q ? | 4 6 2 12 |
| 3 | 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 |
| 4 | 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 |
| 5 | If x2 + y2 = 9 and (x - y)2 = 3, what is the value of xy ? | 16 9 6 3 |
| 6 | What is the value of x2 + 14x + 24, when x=854 ? | 1000 100,000 741,296 742,398 |
| 7 | The average of the polynomials, 2x2 + 5x - 6, 5x2 - 5x - 6 and 30 - 7x2 is: | 14 18 6 5<i>x</i> |
| 8 | 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 |
| 9 | If x = 235 and y = 117, then x2 - y2/x-y = ? | 118 100 115 352 |
| 10 | 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 |
| 11 | If 20x + 20y = 70, what is the average of x and y ? | 7/2 7 7/4 4/7 |
| 12 | What is the average of 310 , 320 and 330 ? | 3<sup>59</sup> 3<sup>9</sup> + 3<sup>19</sup> + 3<sup>29</sup> 3<sup>57</sup> 3<sup>11</sup> + 3<sup>21</sup> + 3<sup>31</sup> |
| 13 | If the average of 3,5, 10 and S is 6, what is the value of S ? | 4 6 12 0 |
| 14 | If a + b = 8, b + c = 9, and c + a = 11, what is the average of a, b and c ? | 14/3 28/3 14/6 7/3 |
| 15 | Asim had an average of 60 on his first four math tests. After taking the next test, his average dropped to 58. Find his recent test grade. | 40 50 48 32 |
| 16 | A worker is paid R rupees per hours for the first 8 hours daily. For every hour after the first 8 hours, she is paid S rupees per hour. If she works 12 hours in one day, what is her average hourly for the day ? | 8R + S 8R + 4S/4 12R - 8S/4 2R + S/3 |
| 17 | If the mean (average) of 6 numbers is 4.5. What is the sum of the numbers ? | 0.75 10.5 12 27 |
| 18 | The average number of goals a team has scored in 7 matches is 8. They averaged 10 goals for the first 3 matches and they scored 5 goals in each of the next tow matches. What is the average score of the last two matches ? | 5 goals 4 goals 6 goals 8 goals |
| 19 | 8 students in a class obtained 60%, 3 obtained 75%, 2 obtained 80% and 7 obtained 45% in a class test. What is the average marks ? | 49% 59% 29% 51% |
| 20 | Which of the following is the average of x2 - 16, 39 - x2 and 3x + 10 ? | <i>x</i> + 3 2<i>x</i> + 13 <i>x</i> + 11 <i>x</i> + 11/3 |
