Q.1 |
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 |
Q.2 |
A man has 30 cookies. He ate one-third of the cookies and divided the remaining between his children in the ratio 5: 3: 2. What is the difference between the number of cookies eaten by the man and the minimum number of cookies received by any of the children? |
a) |
6 |
b) | 0 |
c) | 4 |
d) | None of these |
Q.3 |
A container has milk and water in the ratio 4: 1. The volume of the contents is increased by 40% by adding water to it. From this solution, 5 L are drawn out and replaced with 5 L of milk. If the solution now has five parts milk and three parts water, find the initial volume of the container. |
a) |
28.56 L |
b) | 14.28 L |
c) | 15 L |
d) | 24 L |
Q.4 |
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.5 |
If f(x) = x² – 5x – 14, find the value of f(7). |
a) |
-1 |
b) | 1 |
c) | 0 |
d) | 3 |
Q.6 |
Look at the image given below and find the value of ∠BTQ. |
a) |
30⁰ |
b) | 45⁰ |
c) | 75⁰ |
d) | 90⁰ |
Q.7 |
What is the probability of getting a total of less than 12 in the throws of two dice? |
a) | 16/36 |
b) | 25/36 |
c) | 35/36 |
d) | 26/36 |
Q.8 |
If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively: |
a) | 3 and 5 |
b) | 5 and 3 |
c) | 3 and 1 |
d) | –1 and –3 |
Q.9 |
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.10 |
A sum of ₹ 24,000 is divided into two parts P1 and P2, such that the simple interest calculated on P1 for 3 year and on P2 for 4 years are equal. If the rates of interest on P1 and P2 are 4% and 5% respectively, then find the smaller of the parts P1 and P2. |
a) |
₹ 10,000 |
b) | ₹ 12,000 |
c) | ₹ 8000 |
d) | ₹ 9000 |
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Answers to Sample Questions from Olympiad Success:
Q.1 : a | Q.2 : a | Q.3 : a | Q.4 : a | Q.5 : c | Q.6 : c | Q.7 : c | Q.8 : c | Q.9 : a | Q.10 : d