KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 91 - 94 of 172

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Question number: 91

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2014

MCQ▾

Question

For a real number Equation let Equation denote the largest integer less than or equal to Equation and Equation . Let Equation be a positive integer. Then Equation is equal to –

Choices

Choice (4) Response

a.

0

b.

Equation

c.

1

d.

Equation

Question number: 92

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2014

MCQ▾

Question

The under of integers Equation for which Equation has three real roots is –

Choices

Choice (4) Response

a.

Equation

b.

55

c.

1

d.

25

Question number: 93

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

MCQ▾

Question

For each positive integer Equation , let Equation . Then the number of elements Equation is Equation for which Equation is:

Choices

Choice (4) Response

a.

9

b.

11

c.

12

d.

10

Question number: 94

» Coordinate Geometry » Parallel and Perpendicular Lines

Appeared in Year: 2013

MCQ▾

Question

Let Equation be unit vectors in the Equation plane, one each in the interior of the four quadrants. Which of the following statements is necessarily true? (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

There exist Equation with Equation such Equation is in the first quadrant

c.

There exist Equation with Equation such that Equation

d.

There exist Equation with Equation such that Equation

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