# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 173 - 177 of 1484

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## 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

## Question number: 174

Edit
MCQ▾

### Question

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 175

Edit
MCQ▾

### Question

The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes then the original number was,

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 176

Edit
MCQ▾

### Question

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 177

Edit
MCQ▾

### Question

The product of two numbers is 1960 and their HCF is 14. How many pairs of such numbers can be find?

### Choices

Choice (4)Response

a.

3

b.

4

c.

2

d.

5

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