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- 1. Multiple Choice
The roots of the quadratic equation 6x² – x – 2 = 0 are
2/3, 1/2
-2/3, 1/2
2/3, -1/2
-2/3, -1/2
- 2. Multiple Choice
The equation 2x² + kx + 3 = 0 has two equal roots, then the value of k is
±√6
± 4
±3√2
±2√6
- 3. Multiple Choice
If one root of the equation x² + px + 12 = 0 is 4, while the equation x² + px + q = 0 has equal roots, the value of q is
49/4
4/49
4
49
- 4. Multiple Choice
The roots of the equation 7x² + x – 1 = 0 are
real and distinct
real and equal
not real
none of these
- 5. Multiple Choice
The roots of the equation (b – c) x² + (c – a) x + (a – b) = 0 are equal, then
2a = b + c
2c = a + b
b = a + c
2b = a + c
- 6. Multiple Choice
1. Which of the following equations has 2 as a root?
x2 – 4x + 5 = 0
x2 + 3x – 12 = 0
2x2 – 7x + 6 = 0
3x2 – 6x – 2 = 0
- 7. Multiple Choice
1. Determine k such that the quadratic equation x2 + 7(3 + 2k) – 2x (1 + 3k) = 0 has equal roots :
2, 7
7, 5
2, -10/9
None of these
- 8. Multiple Choice
One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Their present ages are
7 years, 49 years
5 years, 25 years
1 years, 50 years
6 years, 49 years
- 9. Multiple Choice
The sum of the squares of two consecutive natural numbers is 313. The numbers are
12, 13
13,14
11,12
1. 14,15
- 10. Multiple Choice
1. The sum of the reciprocals of Rehman’s ages 3 years ago and 5 years from now is 1/3. The present age of Rehman is:
7
10
5
6
- 11. Multiple Choice
1. A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.
30 km/hr
40 km/hr
50 km/hr
60 km/hr
- 12. Multiple Choice
1. The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, the other two sides of the triangle are equal to:
Base=10cm and Altitude=5cm
Base=12cm and Altitude=5cm
Base=14cm and Altitude=10cm
Base=12cm and Altitude=10cm
- 13. Multiple Choice
A natural number, when increased by 12, equals 160 times its reciprocal. Find the number
3
8
4
7
- 14. Multiple Choice
Rohini had scored 10 more marks in her mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. How many marks did she get in the test?
14
16
15
18
- 15. Multiple Choice
10. A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed?
(A) 42km/hr
44 km/hr
46km/hr
48 km/hr
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