Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad Class 10): Questions 6 - 10 of 82

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Question number: 6

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The denominators of a rational number is greater than its numerator by 5. If 2 is subtracted from the numerator and 5 is added to the denominator, the new number becomes 113 . Then the original number was ________

Choices

Choice (4) Response

a.

38

b.

98

c.

78

d.

97

Question number: 7

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The denominators of a rational number is greater than its numerator by 10. If 5 is subtracted from the numerator and 3 is added to the denominator, the new number becomes 16 . Then the original number was ________

Choices

Choice (4) Response

a.

919

b.

178

c.

199

d.

135

Question number: 8

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The denominators of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes 15 . Then the original number was ________

Choices

Choice (4) Response

a.

711

b.

58

c.

47

d.

35

Question number: 9

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The equations representing the given graph is ________

Points are marked on the graph

Points Are Marked on the Graph

Given the points in graph and find the equations

Choices

Choice (4) Response

a.

7x+7y=15;7x+18y=25

b.

13x17y=60;18y6x=14

c.

15x16y=14;17y6x=19

d.

7x+11y=9;7x+11y=13

Question number: 10

» Pair of Linear Equations in Two Variables

MCQ▾

Question

A pair of linear equations in two variables x and y is a1x+b1y+c1=0 and a2x+b2y+c2=0 , such that a1a2c1c2 , then it has ________.

Choices

Choice (4) Response

a.

Unique solution

b.

Can’t say

c.

No solution

d.

Infinitely many solutions

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