Q.1 |
An elevator starts with 5 passengers and stops at 8 different floors. Find out the probability of all the 5 passengers alighting at different floors. |
a) |
101/512 |
b) | 107/512 |
c) | 109/512 |
d) | 105/512 |
Q.2 |
The volume of a hollow cube is 216cm3. What surface area of the largest sphere which be enclosed in it? |
a) | 18π cm2 |
b) | 72π cm2 |
c) | 36π cm2 |
d) | 27π cm2 |
Q.3 |
A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 cm2. Which one of the following is correct? |
a) | Both cube and cuboid can be painted |
b) | Neither cube nor cuboid can be painted |
c) | Only cube can be painted |
d) | Only cuboid can be painted |
Q.4 |
Find the difference in the roots of the equation 2x2 - 11x + 5 = 0. |
a) |
4 |
b) | 4.5 |
c) | 3.5 |
d) | 3 |
Q.5 |
A box contains 24 marbles, some are green and other are blue. If a marble is drawn at random from the box, the probability that it is green is 2/3. Find the number of blue balls in the box. |
a) |
13 |
b) | 12 |
c) | 16 |
d) | 8 |
Q.6 |
If the roots of a quadratic equation are 20 and -7, then find the equation. |
a) |
x2 + 13x - 140 = 0 |
b) | x2 - 13x - 140 = 0 |
c) | x2 + 13x + 140 = 0 |
d) | x2 - 13x + 140 = 0 |
Q.7 |
If the hypotenuse of a right triangle is 41 cm and the sum of the other two sides is 49 cm, find the difference between the other sides. |
a) |
30 cm |
b) | 29 cm |
c) | 31 cm |
d) | 32 cm |
Q.8 |
The arc AB of the circle with centre at O and radius 10 cm has length 16 cm. What is the area of the sector bounded by the radii OA, OB and the arc AB? |
a) | 40 sq cm |
b) | 80 sq cm |
c) | 20π sq cm |
d) | 40π sq cm |
Q.9 |
Find the least value of 2sin2θ + 3cos2θ. |
a) |
3 |
b) | 4 |
c) | 2 |
d) | 1 |
Q.10 |
Students of a class are made to stand in rows. If 4 students are extra in each row, there would be 2 rows less. If 4 students are less in each row, there would be 4 more rows. Find the number of students in the class. |
a) |
94 |
b) | 96 |
c) | 90 |
d) | 92 |
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Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : c | Q.3 : a | Q.4 : b | Q.5 : d | Q.6 : b | Q.7 : c | Q.8 : b | Q.9 : c | Q.10 : b