Q.1 |
If f(x) = x² – 5x – 14, find the value of f(7). |
a) |
-1 |
b) | 1 |
c) | 0 |
d) | 3 |
Q.2 |
If you stand at the centre, and face towards South. Now you move at an angle of 100 degrees clockwise, then in which direction do you face now? |
a) |
North |
b) | South |
c) | North-West |
d) | South-West |
Q.3 |
A batsman played three matches in a tournament. The ratio of the score of 1st to 2nd match was 8: 9 and that of the score of 2nd to 3rd match was 3: 2. The difference between the 1st and the 3rd match was 16 runs. What was the batsman's average score in all three matches? |
a) |
40 |
b) | 58 |
c) | 45 1/5 |
d) | 61 1/3 |
Q.4 |
If –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k. |
a) | 9/8 |
b) | 9/4 |
c) | 9/5 |
d) | 9/3 |
Q.5 |
Which prime numbers will be repeatedly multiplied in prime factorization of 3200? |
a) |
2 and 5 |
b) | 4 and 2 |
c) | 2 and 6 |
d) | 5 and 8 |
Q.6 |
A tangent to a circle (centre O) drawn from an exterior point T to the circle and touches the circle at a point P on the circumference. Which of the following statement is TRUE? |
a) |
∠TPO > 90° |
b) | ∠TPO < 180° |
c) | ∠TPO < 90° |
d) | ∠TPO = 90° |
Q.7 |
If diameter of cylinder is 8 cm and its height is 16 cm then volume of cylinder is: |
a) |
804.352 cm3 |
b) | 810.465 cm3 |
c) | 750.352 cm3 |
d) | 850.098 cm3 |
Q.8 |
Look at the image given below and find the value of ∠BTQ. |
a) |
30⁰ |
b) | 45⁰ |
c) | 75⁰ |
d) | 90⁰ |
Q.9 |
A paper is in the form of a square of side 20 cm. Semicircle are down inside the square paper on two sides as diameter. The semi-circular portions are cut off. Find the remaining paper. |
a) |
87 cm² |
b) | 86.3 cm² |
c) | 86 cm² |
d) | 85.7 cm² |
Q.10 |
Fill in the blank: The value of Polynomial P(x) =2x3 + 6x2 + 5x - 3 at x = -1 is _____. |
a) |
-1 |
b) | -2 |
c) | -3 |
d) | -4 |
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Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : c | Q.3 : d | Q.4 : b | Q.5 : a | Q.6 : d | Q.7 : a | Q.8 : c | Q.9 : d | Q.10 : d