Q.1 |
Radius of sphere is 8 cm. How many small spheres of radii 4 cm can be formed out of it? |
a) |
2 |
b) | 4 |
c) | 6 |
d) | 8 |
Q.2 |
A number is as much greater than 22 as is less than 72. Then the number is: |
a) |
47 |
b) | 50 |
c) | 52 |
d) | 104 |
Q.3 |
What is the probability of getting a total of less than 12 in the throws of two dice? |
a) | 35/36 |
b) | 21/36 |
c) | 2/6 |
d) | 3/8 |
Q.4 |
Look at the image given below and find OP. |
a) |
5 cm |
b) | 6 cm |
c) | 7 cm |
d) | 4 cm |
Q.5 |
Find the circumference of the circle with centre O. |
a) |
20π cm |
b) | 25π cm |
c) | 30π cm |
d) | 35π cm |
Q.6 |
Find the value of x if the mode of the following data is 18. |
a) |
61 |
b) | 17 |
c) | 18 |
d) | 19 |
Q.7 |
If α and β are the roots of the quadratic equation 2x2 + 6x + k = 0, where k < 0, then what is the maximum value of α/β + β/α? |
a) |
2 |
b) | -2 |
c) | 9 |
d) | -9 |
Q.8 |
If surface area of sphere is 144π cm². What is its radius? |
a) |
5 cm |
b) | 6 cm |
c) | 7 cm |
d) | 8 cm |
Q.9 |
The value of polynomial P(x) = x² + 4x - 10 at x = 2 is: |
a) |
-2 |
b) | 2 |
c) | -4 |
d) | 4 |
Q.10 |
In ΔPQR, ∠P = 60°, ∠Q = 50°. Which side of the triangle is the longest? |
a) |
PQ |
b) | QR |
c) | PR |
d) | None of these |
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Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : a | Q.3 : a | Q.4 : c | Q.5 : b | Q.6 : c | Q.7 : d | Q.8 : b | Q.9 : b | Q.10 : a