# Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad (SOF) Class 10): Questions 45 - 51 of 82

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 958 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

## 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

## Question number: 49

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

Solve for x and y in the following question:

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 50

» 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 121. If the digits of the number differ by 5, then numbers are ________

### Choices

Choice (4) Response

a.

37,73

b.

38,83

c.

62,26

d.

42,24

## Question number: 51

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

At the end of the year 2002, Rahul was half old as his grandpa. The sum of the years in which they were born is 3824. Age of Rahul at the end of year 2003 is ________

### Choices

Choice (4) Response

a.

36 years

b.

50 years

c.

61 years

d.

35 years

f Page