Q.1 |
A dealer bought 80 cricket bats for ₹ 50 each. He sells 20 of them at a gain of 5%. What must be the gain percentage of the remaining bats, so as to get 10% gain on the whole? |
a) |
3 2/11 % |
b) | 12 1/2 % |
c) | 11 2/3 % |
d) | 4 2/3 % |
Q.2 |
If f(x) = x² – 5x – 14, find the value of f(7). |
a) |
-1 |
b) | 1 |
c) | 0 |
d) | 3 |
Q.3 |
T has child J. J has children M and N. M is married to C and has a child O. What is the relation between O and T? |
a) |
mother-in-law |
b) | father-in-law |
c) | grandparent |
d) | great grandparent |
Q.4 |
Fill in the blank: The value of Polynomial P(x) =2x3 + 6x2 + 5x - 3 at x = -1 is _____. |
a) |
-1 |
b) | -2 |
c) | -3 |
d) | -4 |
Q.5 |
6x – 3y + 10 = 0, 2x – y + 9 = 0 represents two lines which are: |
a) |
Intersecting at exactly one point |
b) | Intersecting at exactly two points |
c) | Coincident |
d) | Parallel |
Q.6 |
Find x, y and z in the following figure: ![]() |
a) |
38⁰, 52⁰, 142⁰ |
b) | 120⁰, 20⁰, 60⁰ |
c) | 145⁰, 120⁰, 80⁰ |
d) | 45⁰, 120⁰, 80⁰ |
Q.7 |
If 4th and 8th terms of an A.P. are 11 and 23 respectively, find a and d. |
a) | a = 2, d = 3 |
b) | a = 2, d = 2 |
c) | a = 3, d = 3 |
d) | a = 1, d = 3 |
Q.8 |
Identify the identical figures from the following options given. ![]() |
a) |
(1, 5, 7), (3, 6, 8), (2, 4, 9) |
b) | (1, 4, 7), (2, 6, 8), (3, 5, 9) |
c) | (1, 5, 7), (2, 6, 8), (3, 4, 9) |
d) | (5, 7, 9), (2, 6, 8), (1, 3, 4) |
Q.9 |
A batsman played three matches in a tournament. The ratio of the score of 1st to 2nd match was 8: 9 and that of the score of 2nd to 3rd match was 3: 2. The difference between the 1st and the 3rd match was 16 runs. What was the batsman's average score in all three matches? |
a) |
40 |
b) | 58 |
c) | 45 1/5 |
d) | 61 1/3 |
Q.10 |
What will be the remainder if f(x) = x³ + 4x² – 3x + 1 is divided by (x – 2)? |
a) | 18 |
b) | 20 |
c) | 19 |
d) | 31 |
Your Score: 0/10
Sample PDF of Humming Bird - Humming Bird Mathematics Olympiad (HMO) PDF Sample Papers for Class 10:
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Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : c | Q.3 : d | Q.4 : d | Q.5 : d | Q.6 : a | Q.7 : a | Q.8 : c | Q.9 : d | Q.10 : c