Q.1 |
If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively: |
a) | 3 and 5 |
b) | 5 and 3 |
c) | 3 and 1 |
d) | –1 and –3 |
Q.2 |
The average age of 5 members of a committee is the same as it was 3 years ago, because an old member has been replaced by a new member. The difference between the ages of old and new member is: |
a) |
2 years |
b) | 4 years |
c) | 8 years |
d) | 15 years |
Q.3 |
A man has 30 cookies. He ate one-third of the cookies and divided the remaining between his children in the ratio 5: 3: 2. What is the difference between the number of cookies eaten by the man and the minimum number of cookies received by any of the children? |
a) |
6 |
b) | 0 |
c) | 4 |
d) | None of these |
Q.4 |
At Bilal’s Discount Hardware everything is sold for 30% less than the market price. If Bilal’s buys tool bits for Rs. 96, what price should he marked them if he wants to make a 20% profit on his cost? |
a) |
117 |
b) | 127 |
c) | 146 |
d) | 164 |
Q.5 |
Which of these is false? |
a) |
The diagonal of the parallelogram divide the parallelogram into four equal parts |
b) | Area of parallelogram is base multiplied by the height |
c) | If EFGH are the respective midpoints of the sides of the parallelogram ABCD, Area of EFGH is half the area of the parallelogram |
d) | None of these |
Q.6 |
Every number on the number line represents a ________ number which is either _________ or _________. |
a) |
Real, Rational, Irrational |
b) | Complex, Rational, Irrational |
c) | System, Rational, Irrational |
d) | None of these |
Q.7 |
If –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k. |
a) | 9/8 |
b) | 9/4 |
c) | 9/5 |
d) | 9/3 |
Q.8 |
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.9 |
If H.C.F. of two numbers is 68 and 85 is 17. What is the L.C.M. of two numbers? |
a) | 340 |
b) | 350 |
c) | 360 |
d) | 370 |
Q.10 |
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 % |
Your Score: 0/10
Sample PDF of Humming Bird - Humming Bird Mathematics Olympiad (HMO) PDF Sample Papers for Class 10:
If your web browser doesn't have a PDF Plugin, you can Click here to download the PDF
Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : d | Q.3 : a | Q.4 : d | Q.5 : d | Q.6 : a | Q.7 : b | Q.8 : a | Q.9 : a | Q.10 : c