IMO- Mathematics Olympiad Class 10: Questions 103 - 108 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 Equation andEquation , such that Equation , 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 Equation are two numbers such thatEquation . Then Equation are the roots of the quadratic equation ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 106

» Polynomials

MCQ▾

Question

The difference of roots of the quadratic equation Equation is ________

Choices

Choice (4) Response

a.

9

b.

-9

c.

10

d.

-10

Question number: 107

» Polynomials

MCQ▾

Question

Degree of polynomial Equation 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 Equation has a non-zero solution, is ________

Choices

Choice (4) Response

a.

2

b.

0

c.

6

d.

8

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