NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 567 - 573 of 1484

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Question number: 567

» Mathematics » Quadratic Equations

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MCQ▾

Question

The discriminant of with a, c and real constants is zero. The roots must be

Choices

Choice (4) Response

a.

Equal and integral

b.

Real and equal

c.

Imaginary

d.

Rational and equal

Question number: 568

» Mathematics » Coordinate Geometry

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MCQ▾

Question

In what ratio is the segment joining the points and divided by X-axis?

Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 569

» Mathematics » Arithmetic Progressions

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MCQ▾

Question

The value of is

Choices

Choice (4) Response

a.

225

b.

90

c.

85

d.

112

Question number: 570

» Mathematics » Trigonometry

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MCQ▾

Question

If , then

Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

Question number: 571

» Mathematics » Surface Area and Volumes

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MCQ▾

Question

The height of a cone is 60 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume is the volume of cone, the height at which the section is made is ________.

Choices

Choice (4) Response

a.

39.3 cm

b.

37.1 cm

c.

27.6 cm

d.

22.9 cm

Question number: 572

» Mathematics » Arithmetic Progressions

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MCQ▾

Question

Find a positive integral solution to the equation

Choices

Choice (4) Response

a.

110

b.

116

c.

115

d.

240

Question number: 573

» Mathematics » Arithmetic Progressions

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MCQ▾

Question

If the and terms of an AP are P, Q and R respectively, then = ________.

Choices

Choice (4) Response

a.

pqr

b.

c.

0

d.

1

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