Q.1 |
The least four-digit number which is a perfect square, is: |
a) |
1000 |
b) | 1036 |
c) | 1024 |
d) | 1081 |
Q.2 |
A solid cube of each side 8 cm, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm. How many cubes have only two faces painted? ![]() |
a) |
24 |
b) | 2 |
c) | 22 |
d) | 12 |
Q.3 |
What is the mean of all the odd numbers greater than 10 and less than 30? |
a) |
18.5 |
b) | 19 |
c) | 19.5 |
d) | 20 |
Q.4 |
Select a suitable figure from the four alternatives that would complete the figure matrix. |
a) | 1 |
b) | 2 |
c) | 3 |
d) | 4 |
Q.5 |
10 identical pipes fill water tank in 4 hours, 8 pipes fill same tank in: |
a) |
6 hours |
b) | 7 hours |
c) | 5 hours |
d) | 4 hours |
Q.6 |
The smallest natural number by which 704 must be divided to obtain a perfect cube is: |
a) |
22 |
b) | 12 |
c) | 11 |
d) | 13 |
Q.7 |
25 can be express as the sum of first _________consecutive odd numbers. |
a) |
5 |
b) | 4 |
c) | 6 |
d) | 3 |
Q.8 |
Find the value of the expression 2x3 - x2 - 3, when x = 3. |
a) |
66 |
b) | 52 |
c) | 32 |
d) | 42 |
Q.9 |
In a two-digit number, the unit's digit is 2 more than that of the ten's digit. The sum of the digits is 27 less than the number. Find the product of the digits of the number. |
a) |
8 |
b) | 15 |
c) | 24 |
d) | 35 |
Q.10 |
Expansion of (x + 3y)(x - y) gives: |
a) |
x² + 2xy - 3y² |
b) | x + 3y - 2xy |
c) | 2y + 3x |
d) | 3y - 42x |
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Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : a | Q.3 : d | Q.4 : c | Q.5 : c | Q.6 : c | Q.7 : a | Q.8 : d | Q.9 : b | Q.10 : a