# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 560 - 566 of 1484

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## Question number: 560

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MCQ▾

### Question

If the sum of the first 15 terms and the sum of the first 150 terms of a given AP are 150 and 15 respectively, then the sum of the first 155 terms is

### Choices

Choice (4) Response

a.

b.

c.

-155

d.

-87

## Question number: 561

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MCQ▾

### Question

Find the value of “a” and “b” so that and may be factors of .

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 562

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MCQ▾

### Question

Solve the equation where is acute .

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 563

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MCQ▾

### Question

Find a positive integral solution to the equation

### Choices

Choice (4) Response

a.

120

b.

220

c.

221

d.

121

## Question number: 564

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MCQ▾

### Question

If then ________.

### Choices

Choice (4) Response

a.

b.

c.

2

d.

All of the above

## Question number: 565

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MCQ▾

### Question

The product of and is ________.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 566

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MCQ▾

### Question

The sum of ‘n’ terms of an AP is . Then the nth term is

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

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