Q.1 |
Which one of the following number is a perfect square? |
a) |
622 |
b) | 393 |
c) | 5778 |
d) | 625 |
Q.2 |
The length of the arc of a sector of a circle is 17 cm and the area of the sector is 136 cm2. Calculate the radius of the circle. |
a) |
16 cm |
b) | 15 cm |
c) | 14 cm |
d) | 13 cm |
Q.3 |
Choose a figure which would most closely resemble the unfolded form of Figure (Z). |
a) | 1 |
b) | 2 |
c) | 3 |
d) | 4 |
Q.4 |
A four-digit number aabb is divisible by 55. Then possible value(s) of b is/are: |
a) |
0 and 2 |
b) | 2 and 5 |
c) | 0 and 5 |
d) | Can't be determined |
Q.5 |
(a + 2b)² - (a + 2b)(3a - 7b) by factorisation gives: |
a) |
(a + 2b) (9b - 2a) |
b) | a - 3b + 4ab |
c) | 5b - 4a |
d) | None of these |
Q.6 |
If 33x - 2 = 92x - 2, then what is the value of (xx)x? |
a) |
1 |
b) | 2 |
c) | 4 |
d) | 16 |
Q.7 |
Select the figure which satisfies the same conditions of placement of the dots as in fig. (X). |
a) | a |
b) | b |
c) | c |
d) | d |
Q.8 |
If a, b, c, d stands for addition, subtraction, multiplication and division respectively then, the value of 12 d 4 c 7 a 24 b 11 is: |
a) |
34 |
b) | 6 |
c) | 21 |
d) | 45 |
Q.9 |
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.10 |
Factorise 49x² – 36. |
a) |
(7x + 6) (7x - 6) |
b) | (7x + 6) 7x - 6 |
c) | 7x + 6 X 7x - 6 |
d) | None of these |
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Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : a | Q.3 : d | Q.4 : c | Q.5 : a | Q.6 : d | Q.7 : a | Q.8 : a | Q.9 : c | Q.10 : a