IMO- Mathematics Olympiad (SOF) Class 10: Questions 84 - 89 of 958

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Question number: 84

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Places and are 120 km apart from each other on a national highway. A car starts from and another from at the same time. If they go in the same direction then they meet in 6 hours and if they go in opposite directions they meet in hours. The speeds of the cars are ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 85

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The digit at the ten’s place of a two digit number is twice the digit at the unit’s place. If the sum of this number and the number formed by reversing the digits is 99, find the number.

Choices

Choice (4) Response

a.

36

b.

52

c.

63

d.

24

Question number: 86

» Polynomials

MCQ▾

Question

If are the roots of then is ________

Choices

Choice (4) Response

a.

-10

b.

-5

c.

-15

d.

-20

Question number: 87

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The ratio between a two – digit number and the sum of digits of that number is . If the digit in the unit place is 3 more than the digit in the tenth place, what is the number?

Choices

Choice (4) Response

a.

40

b.

24

c.

63

d.

36

Question number: 88

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations has no solution, is ________

Choices

Choice (4) Response

a.

3

b.

1

c.

10

d.

6

Question number: 89

» Polynomials

MCQ▾

Question

If one zero of the polynomial is a reciprocal of the other, then k is equal to ________

Choices

Choice (4) Response

a.

2

b.

9

c.

7

d.

5

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