KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 122 - 125 of 172

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Question number: 122

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2014

MCQ▾

Question

For a real number we denote by the largest integer less than or equal to . If are real number with , then which of the following statement is always true?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 123

» Differential Equations » Formation of Differential Equations

Appeared in Year: 2013

MCQ▾

Question

Let . The number of real roots of is – (Model Paper)

Choices

Choice (4) Response

a.

1

b.

0

c.

2

d.

4

Question number: 124

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

What is the angle subtended by an edge of a regular tetrahedron at its center?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 125

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

Let and let , be circles with radii respectively. Assume that and touch externally for . It is also given that the axis and the line are tangential to each of the circles. Then are in –

Choices

Choice (4) Response

a.

An arithmetic progression with common difference

b.

An arithmetic progression with common difference

c.

A geometric progression with common ratio

d.

A geometric progression with common ratio

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