Q.1 |
A alone can finish a piece of work in 10 days which B alone can do in 15 days. If they work together and finish it, then out of total wages of Rs. 3000, A will get: |
a) |
Rs. 1,200 |
b) | Rs. 1,500 |
c) | Rs. 1,800 |
d) | Rs. 2,000 |
Q.2 |
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a king. |
a) |
4/13 |
b) | 3/52 |
c) | 1/13 |
d) | 4/26 |
Q.3 |
Five students obtained 14, 12, 18, x and 20 marks in an exam. If the average marks of the group are 15, find the value of x. |
a) |
11 |
b) | 12 |
c) | 13 |
d) | 14 |
Q.4 |
Name the property of multiplication illustrated by: -4/3 x ( -6/5 + 8/7 ) = ( -4/3 x -6/5 ) + ( -4/3 + 8/7 ) |
a) |
Associative property |
b) | Distributive property |
c) | Commutative property |
d) | Closure property |
Q.5 |
Reema decided to practice few sums on factorization. She found a question that is given below where she has to find out the missing values. The answer of Reema will be, respectively: |
a) |
(15, 5) |
b) | (5, 15) |
c) | (4, 22) |
d) | (22, 4) |
Q.6 |
Tap A can fill a tank in 12 hours, while tap B can empty the full tank in 16 hours. If both taps are open together, how long will it take to fill an empty tank? |
a) |
50 hours |
b) | 48 hours |
c) | 46 hours |
d) | 51 hours |
Q.7 |
An equilateral triangle has a side length 8 cm. What is the area of a region of all the points outside the equilateral triangle that area within 3 cm of the rectangle? |
a) |
72 + 9Π cm² |
b) | 79 + 6Π cm² |
c) | 24 + 3Π cm² |
d) | 69 - 9Π cm² |
Q.8 |
Surjeet drove 3 hours longer than Shilpa at an average speed of 3 km per hour faster than Shilpa. Harsh drove 6 hours longer than Shilpa at an average speed of 6 km per hour faster than Shilpa. If Surjeet drove 40 km more than Shilpa, then how many more km did Harsh drive more than Shilpa? |
a) |
98 |
b) | 103 |
c) | 93 |
d) | 88 |
Q.9 |
Which of the following statements is true? |
a) | [(5/9)/(1/3)]/(5/2) = (5/9)/[(1/3)/(5/2)] |
b) | {(-16)/(6/5)}/(-9/10) = (-16)/{(6/5)/(-9/10)} |
c) | [(-3/5)/(-12/35)]/(1/14) = (-3/5)/[(-12/35)/(1/14)] |
d) | [(-7/16)/1] = -7/16 |
Q.10 |
Ramakrishnan was getting late for his match. While running out the door, he picks up a fruit from the fruit basket which had the following fruits. What is the probability that Ramakrishnan did not pick up a mango? |
a) |
(11/28) |
b) | (5/7) |
c) | (8/28) |
d) | (6/35) |
Your Score: 0/10
Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : c | Q.3 : a | Q.4 : b | Q.5 : d | Q.6 : b | Q.7 : a | Q.8 : a | Q.9 : d | Q.10 : b