NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 267 - 275 of 1484

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Question 267

Question

MCQ▾

If and the sequence x, y and x, y each are in AP, then = ________.

Choices

Choice (4)Response

a.

b.

c.

d.

1

Question 268

Question

MCQ▾

If is exactly divisible by , then p = ________.

Choices

Choice (4)Response

a.

12

b.

-2

c.

3

d.

All of the above

Question 269

Question

MCQ▾

If then = ________.

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

Question 270

Question

MCQ▾

The diameter of a copper sphere is 8 cm. It is beaten and drawn into a wire of diameter 0.6 cm. The length of wire is ________.

Choices

Choice (4)Response

a.

985.14 cm

b.

984.15 cm

c.

948.15 cm

d.

945.18 cm

Question 271

Question

MCQ▾

then becomes

Choices

Choice (4)Response

a.

b.

c.

d.

Question 272

Question

MCQ▾

If the sum of the first 5 terms and the sum of the first 50 terms of a given AP are 50 and 5 respectively, then the sum of the first 55 terms is

Choices

Choice (4)Response

a.

110

b.

75

c.

-55

d.

-65

Question 273

Question

MCQ▾

The difference of the roots of is

Choices

Choice (4)Response

a.

-7

b.

c.

5

d.

Question does not provide sufficient data or is vague

Question 274

Question

MCQ▾

The number of roots satisfying the equation is/are

Choices

Choice (4)Response

a.

2

b.

3

c.

1

d.

Unlimited

Question 275

Question

MCQ▾

The sum of the first 100 positive integers exactly divisible by 4 is

Choices

Choice (4)Response

a.

20020

b.

20200

c.

40400

d.

40040

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