# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 112 - 121 of 1484

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## Question 112

### Question

MCQ▾

The HCF of and is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 113

MCQ▾

The LCM of and

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 114

### Question

MCQ▾

Express in lowest terms.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 115

### Question

MCQ▾

The HCF of and is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 116

### 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 117

### 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 118

### 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 119

### Question

MCQ▾

Given the fractions and are unequal if:

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 120

### 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 121

### 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.

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