# Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad Class 10): Questions 43 - 48 of 82

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## Question number: 43

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The sum of a two digit number and the number obtained by interchanging the digits of the number is 110. If the digits of the number differ by 8, then numbers are ________

### Choices

Choice (4) Response

a.

71, 17

b.

91, 19

c.

81, 18

d.

61, 16

## Question number: 44

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

In a the three angles will be ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 45

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The sum of two numbers is 10 and the sum of their squares is 50. The numbers are ________

### Choices

Choice (4) Response

a.

12 and 7

b.

8 and 6

c.

5 and 5

d.

2 and 8

## Question number: 46

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The sum of a two digit number and the number obtained by interchanging the digits of the number is 132. If the digits of the number differ by 2, then numbers are ________

### Choices

Choice (4) Response

a.

29, 92

b.

75, 57

c.

13, 31

d.

23, 32

## Question number: 47

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The value of k for which the system of equations has a unique solution, is ________

### Choices

Choice (4) Response

a.

b.

= 2

c.

d.

= 1

## Question number: 48

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The sum of two numbers is 20 and the sum of their squares is 40. The numbers are ________

### Choices

Choice (4) Response

a.

12 and 17

b.

14 and 25

c.

13 and 16

d.

12 and 15

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