# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 166 - 173 of 1484

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## Question number: 166

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MCQ▾

### Question

The LCM of two numbers is 160 and HCF is 4. If the sum of the number is 56, their difference is,

### Choices

Choice (4) Response

a.

54

b.

97

c.

27

d.

45

## Question number: 167

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MCQ▾

### Question

Which of the following system of equations has infinitely many solutions?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 168

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MCQ▾

### Question

Which of the following system of equations has no solution?

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 169

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MCQ▾

### Question

In , if then is________

### Choices

Choice (4) Response

a.

120°

b.

180°

c.

100°

d.

150°

## Question number: 170

Edit
MCQ▾

### Question

If the ratio of workers to machines in a factory is W and the ratio of machines to workers is M, then W + M is,

### Choices

Choice (4) Response

a.

Less than 1

b.

Greater than 1

c.

Greater than or equal to 1

d.

Equals to 1

## Question number: 171

Edit
MCQ▾

If

### Choices

Choice (4) Response

a.

2

b.

0

c.

- 4

d.

- 3

## Question number: 172

Edit
MCQ▾

### Question

If then the value of “x” is________

### Choices

Choice (4) Response

a.

0.1

b.

0.3

c.

0.5

d.

0.2

## Question number: 173

Edit
Assertion-Reason▾

### Assertion (Ꭺ)

Homogeneous system of linear equations is always consistent.

### Reason (Ꭱ)

x = 0, y = 0 is always a solution of the homogeneous system of equations with unknowns x and y, then which of the following statement is true?

### Choices

Choice (4) Response

a.

Ꭺ is false but Ꭱ is true

b.

Both Ꭺ and Ꭱ are true and Ꭱ is the correct explanation of Ꭺ

c.

Both Ꭺ and Ꭱ are true but Ꭱ is NOT the correct explanation of Ꭺ

d.

Both Ꭺ and Ꭱ are false

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