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 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.4 |
If A gets 25% more than B and B gets 20% more than C. The share of C out of a sum of Rs. 740 is: |
a) |
Rs. 150 |
b) | Rs. 200 |
c) | Rs. 250 |
d) | Rs. 300 |
Q.5 |
Look at the image given below and find the value of ∠BTQ. |
a) |
30⁰ |
b) | 45⁰ |
c) | 75⁰ |
d) | 90⁰ |
Q.6 |
A jar containing a mixture of milk and water has 55% milk. A part of this mixture is replaced by another mixture of milk and water having 20% milk. If now the mixture has 35% milk, what fraction of the jar was not replaced? |
a) |
3/4 |
b) | 4/7 |
c) | 3/7 |
d) | 4/3 |
Q.7 |
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.8 |
The value of an old bike decreases every year at the rate of 4% over that of the previous year. If its value at the end of years is ₹ 13824, then find its present value. |
a) |
₹ 15,625 |
b) | ₹ 14,525 |
c) | ₹ 16,625 |
d) | ₹ 15,425 |
Q.9 |
In the probability of getting a number greater than or equal to 3 in a throw of a biased dice is 5/6, then how many of the six numbers in the biased dice are definitely less than 3? |
a) |
2 |
b) | 3 |
c) | 1 |
d) | Cannot be determined |
Q.10 |
At Bilal’s Discount Hardware everything is sold for 30% less than the market price. If Bilal’s buys tool bits for Rs. 96, what price should he marked them if he wants to make a 20% profit on his cost? |
a) |
117 |
b) | 127 |
c) | 146 |
d) | 164 |
Your Score: 0/10
Sample PDF of Unified Council - Unified International Mathematics Olympiad (UIMO) PDF Sample Papers for Class 10:
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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 : c | Q.6 : a | Q.7 : b | Q.8 : a | Q.9 : b | Q.10 : d