Q.1 |
The average age of 5 members of a committee is the same as it was 3 years ago, because an old member has been replaced by a new member.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.2 |
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.3 |
In a class of 15 students, on an average, each student got 12 books. If exactly two students received same number of books, and the average of books received by remaining students be an integer, then which of the following could be the number of received same number of books? |
a) |
11 |
b) | 15 |
c) | 20 |
d) | 25 |
Q.4 |
First term of an A.P. is –2 and 10th term is 28. What is the value of d (common difference)? |
a) |
10/3 |
b) | 10/9 |
c) | 10/6 |
d) | 10/4 |
Q.5 |
A dealer bought 80 cricket bats for ₹ 50 each. He sells 20 of them at a gain of 5%. What must be the gain percentage of the remaining bats, so as to get 10% gain on the whole? |
a) |
3 2/11 % |
b) | 12 1/2 % |
c) | 11 2/3 % |
d) | 4 2/3 % |
Q.6 |
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.7 |
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.8 |
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.9 |
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.10 |
If H.C.F. of two numbers is 68 and 85 is 17. What is the L.C.M. of two numbers? |
a) | 340 |
b) | 350 |
c) | 360 |
d) | 370 |
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Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : a | Q.3 : d | Q.4 : a | Q.5 : c | Q.6 : d | Q.7 : a | Q.8 : d | Q.9 : a | Q.10 : a