IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 104 - 110 of 968

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Question number: 104

» Pair of Linear Equations in Two Variables

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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 165, find the number.

Choices

Choice (4) Response

a.

52

b.

63

c.

24

d.

105

Question number: 105

» Polynomials

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MCQ▾

Question

If are two numbers such that . Then are the roots of the quadratic equation ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 106

» Polynomials

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MCQ▾

Question

The difference of roots of the quadratic equation is ________

Choices

Choice (4) Response

a.

-9

b.

-10

c.

10

d.

9

Question number: 107

» Polynomials

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MCQ▾

Question

Degree of polynomial is ________

Choices

Choice (4) Response

a.

6

b.

1

c.

3

d.

4

Question number: 108

» Pair of Linear Equations in Two Variables

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MCQ▾

Question

The value of k for which the system of equations has a non-zero solution, is ________

Choices

Choice (4) Response

a.

0

b.

8

c.

6

d.

2

Question number: 109

» Polynomials

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MCQ▾

Question

When is divided by , the quotient and remainder is ________

Choices

Choice (4) Response

a.

, -4

b.

c.

, 4

d.

Question number: 110

» Pair of Linear Equations in Two Variables

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MCQ▾

Question

The value of k for which the system of equations , has infinite number of solutions, is ________

Choices

Choice (4) Response

a.

3

b.

1

c.

6

d.

0