Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad Class 10): Questions 78 - 81 of 82

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Question number: 78

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The sum of two numbers is 7 and the sum of their squares is 29. The numbers are ________

Choices

Choice (4) Response

a.

9 and 6

b.

2 and 5

c.

1 and 2

d.

8 and 5

Question number: 79

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The equations representing the given graph is ________

Points in graph for different points

Points in Graph for Different Points

Given the points in graph for different points and find the equations

Choices

Choice (4) Response

a.

12x+17y=21;5x+y=30

b.

17x+12y=11;4y5x=13

c.

6x7y=3;yx=9

d.

xy=4;7y8x=3

Question number: 80

» Pair of Linear Equations in Two Variables

MCQ▾

Question

A boat goes 20 km upstream and 33 km downstream in 10 hours. In 13 hours, it can go 30 km upstream and 44 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

Choices

Choice (4) Response

a.

3x+3y=15,x3y=6

b.

8x+9y=11,x+2y=20

c.

2x+6y=15,3x2y=32

d.

4x+4y=11,x+y=10

Question number: 81

» Pair of Linear Equations in Two Variables

MCQ▾

Question

f (x) is a fifth degree polynomial. It is given that f (x) + 1 in divisible by (x1)3 and f(x)1 is divisible by (x+1)3 . Find f (x).

Choices

Choice (4) Response

a.

38+5x34+158

b.

38x55x34158x

c.

38x5+x34154x

d.

38x5+5x34158x

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