| 1. | If z = 2, then z^4 (z^4 - z² ) =? |
| a. | | 110 |
| b. | | 192 |
| c. | | 162 |
| d. | | 182
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| 2. | If x=2, then [((3 - 1)/(3-x))(( 3 - 1)/(4-x))(( 3 - 1)/(5-x))] |
| a. | | 1/3 |
| b. | | 50/3 |
| c. | | 20/3 |
| d. | | 4/3
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| 3. | Find the value of following expression :
[{ 5.79 × 5.79 × 5.79 + 4.21 × 4.21 × 4.21} ÷ { 5.79 × 5.79 - 5.79 × 4.21 + 4.21 × 4.21}] |
| a. | | 21.790 |
| b. | | 10.00 |
| c. | | 15.19 |
| d. | | 11.111
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| 4. | If one root of the quadratic equation 8x² - 28x + y = 0 is six times the other.Find the value of y. |
| a. | | 10 |
| b. | | 2 |
| c. | | 8 |
| d. | | 9
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| 5. | If 16x² + 24x + r = 0 have equal roots, find the value of r. |
| a. | | 8 |
| b. | | 12 |
| c. | | 9 |
| d. | | 10
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| 6. | Solve for x and y :
(x - 2) / 6 = (y - 2) / 7 = (x - y) / 3 |
| a. | | x = 2, y = -2 |
| b. | | x = 2, y = 2 |
| c. | | x = -2, y = -2 |
| d. | | x = -2, y = 2
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| 7. | The average of 5 quantities is 30. The average of three of them is 20. What is the average of remaining two numbers? |
| a. | | 54 |
| b. | | 45 |
| c. | | 40 |
| d. | | 60
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| 8. | The average of 11 results is 75. The average of first six is 60 and that of last six is 70. What is the seventh result? |
| a. | | 54 |
| b. | | 82 |
| c. | | 62 |
| d. | | 45
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| 9. | If 5 points are marked at an equal distance between two poles, which are 20 m apart, what is the distance between any two of the points? |
| a. | | 4m |
| b. | | 5m |
| c. | | 2m |
| d. | | 3m
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| 10. | Solve for a : 3ª - 2×3ª + 3 = 0 |
| a. | | -1 |
| b. | | 1 |
| c. | | 0 |
| d. | | -2
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| 11. | Evaluate : 100 - 6[3³ + 27/3 + 4(10-14)] |
| a. | | 120 |
| b. | | -20 |
| c. | | -120 |
| d. | | 10
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| 12. | Sum of two numbers is 85 and their LCM is 102. Find them. |
| a. | | 7, 78 |
| b. | | 6, 17 |
| c. | | 34, 3 |
| d. | | 34, 51
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