Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 27 - 31 of 57

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Question number: 27

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

55

c.

1

d.

25

Question number: 28

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

9

b.

11

c.

12

d.

10

Question number: 29

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

The number of integer with and containing at most two distinct digits is – (Model Paper)

Choices

Choice (4) Response

a.

324

b.

252

c.

280

d.

360

Question number: 30

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

Appeared in Year: 2013

MCQ▾

Question

Let be a closed polygon with sides and vertices (assume that the sides do not intersect except at the vertices). Let be the number of interior angles of P that are greater than . The maximum possible value of is – (Model Paper)

Choices

Choice (4) Response

a.

9

b.

3

c.

7

d.

5

Question number: 31

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

Let be a non – constant polynomial with real coefficients such that and for all real . Which of the following statements is NOT necessarily true? (Model Paper)

Choices

Choice (4) Response

a.

The coefficient of the highest degree term in is negative

b.

has at least two real roots

c.

If then

d.

At least one of the coefficients of is bigger than .

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