Q.1 |
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.2 |
Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line. |
a) | A |
b) | B |
c) | C |
d) | D |
Q.3 |
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 |
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 |
6x – 3y + 10 = 0, 2x – y + 9 = 0 represents two lines which are: |
a) |
Intersecting at exactly one point |
b) | Intersecting at exactly two points |
c) | Coincident |
d) | Parallel |
Q.6 |
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.7 |
The average age of 5 members of a committee is the same as it was 3 years ago, because an old member has been replaced by a new member. The difference between the ages of old and new member is: |
a) |
2 years |
b) | 4 years |
c) | 8 years |
d) | 15 years |
Q.8 |
Identify the similar pair of words as given below: Stone: Sculpture:: |
a) |
Mural: Painting |
b) | Opera: Stage |
c) | Canvas : Easel |
d) | Clay: Pottery |
Q.9 |
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 |
Q.10 |
What is the value of D in the equation 9x² + 15x + 4 = 0? |
a) |
125 |
b) | 49 |
c) | 81 |
d) | 100 |
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Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : d | Q.3 : d | Q.4 : b | Q.5 : d | Q.6 : a | Q.7 : d | Q.8 : d | Q.9 : d | Q.10 : c