IMO- Mathematics Olympiad (SOF) Class 10: Questions 103 - 109 of 958

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Question number: 103

» Pair of Linear Equations in Two Variables

MCQ▾

Question

A pair of linear equations in two variables x and y is and, such that , then it has ________.

Choices

Choice (4) Response

a.

Unique solution

b.

Can’t say

c.

No solution

d.

Infinitely many solutions

Question number: 104

» 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 165, find the number.

Choices

Choice (4) Response

a.

63

b.

24

c.

105

d.

52

Question number: 105

» Polynomials

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

MCQ▾

Question

The difference of roots of the quadratic equation is ________

Choices

Choice (4) Response

a.

9

b.

-9

c.

10

d.

-10

Question number: 107

» Polynomials

MCQ▾

Question

Degree of polynomial is ________

Choices

Choice (4) Response

a.

3

b.

1

c.

4

d.

6

Question number: 108

» Pair of Linear Equations in Two Variables

MCQ▾

Question

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

Choices

Choice (4) Response

a.

2

b.

0

c.

6

d.

8

Question number: 109

» Polynomials

MCQ▾

Question

When is divided by , the quotient and remainder is ________

Choices

Choice (4) Response

a.

, -4

b.

c.

, 4

d.

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