Q.1 |
The solution of which of the following equations is a fraction not an integer? |
a) |
3x + 2 = 5x + 2 |
b) | 4x - 18 = 2 |
c) | 4x - 7 = x + 2 |
d) | 5x - 9 = x + 4 |
Q.2 |
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.3 |
Raju has travelled for 4 h at 60 kmph and 6 h at 40 kmph. What is the average speed of Raju for the entire journey (in kmph)? |
a) |
56 |
b) | 50 |
c) | 48 |
d) | 45 |
Q.4 |
Which one of the following number is a perfect square? |
a) |
622 |
b) | 393 |
c) | 5778 |
d) | 625 |
Q.5 |
Expansion of -8(3a + 5b) yields: |
a) |
-24a - 40b |
b) | -22a + 80b |
c) | 20a - 30b |
d) | -24a - 41b |
Q.6 |
For a fixed base, if the exponent decreases by 1, the number becomes: |
a) |
1/10th of the previous number. |
b) | 10 times of the previous number. |
c) | Hundredth of the previous number. |
d) | Hundredth times of the previous number. |
Q.7 |
Whole number such that twice of its square added to itself gives 10? |
a) |
5 |
b) | 2 |
c) | 8 |
d) | 10 |
Q.8 |
If it is possible to from a word with the first, fourth, seventh and eleventh letters in the word 'SPHERVLVODS' write the second letter of that word. |
a) |
V |
b) | L |
c) | S |
d) | E |
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 |
Which of the following statements is always true: |
a) | A square number cannot be the sum of two other square numbers |
b) | A number that has 5 in the units place can never be a perfect square |
c) | A number that leaves a remainder of 3 when divided by 4 cannot be a perfect square |
d) | A number that has 7 in the units place may be a perfect square |
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Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : a | Q.3 : c | Q.4 : d | Q.5 : a | Q.6 : a | Q.7 : b | Q.8 : d | Q.9 : c | Q.10 : c