# Mathematics-Pair of Linear Equations in Two Variables [NSTSE (National Science Talent Search Exam- Unified Council) Class 10]: Questions 1 - 7 of 68

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## Question 1

Pair of Linear Equations in Two Variables

### Question

MCQ▾

For the equations

### Choices

Choice (4)Response

a.

There exists unique solution

b.

There are two solutions

c.

There are infinite number of solutions.

d.

There is no solution

## Question 2

Pair of Linear Equations in Two Variables

### Question

MCQ▾

The ratio between a two digit number and the sum of digits if that number is 4: 1 . If the digit in the unit place is 3 more than the digit in the tenth place, what is that number?

### Choices

Choice (4)Response

a.

Insufficient data

b.

24

c.

36

d.

63

## Question 3

Pair of Linear Equations in Two Variables

### Question

MCQ▾

The product of two numbers is 12960 and their HCF is 36. How many pairs of such numbers can be find?

### Choices

Choice (4)Response

a.

5

b.

3

c.

4

d.

2

## Question 4

Pair of Linear Equations in Two Variables

### Question

MCQ▾

Given the fractions and are unequal if:

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 5

Pair of Linear Equations in Two Variables

### Question

MCQ▾

The solution of the system of the equations and (where is

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question 6

Pair of Linear Equations in Two Variables

### Question

MCQ▾

The denominator of a rational number is greater than its numerator by 5. If 4 is subtracted from the numerator and 3 is added to the denominator, the new number becomes then the original number was,

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 7

Pair of Linear Equations in Two Variables

### Question

MCQ▾

For what value of p does the system of equations , has non zero solution?

### Choices

Choice (4)Response

a.

b.

c.

d.

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