Basic Mathematics-Arithmetic (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 6 of 25

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Question number: 1

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2011

MCQ▾

Question

Suppose The smallest possible integer value of c for all a, b > 1 is –

Choices

Choice (4) Response

a.

2

b.

3

c.

1

d.

4

Question number: 2

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2011

MCQ▾

Question

The value of

is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 3

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2011

MCQ▾

Question

Two players play the following game: A writes 3, 5, 6 on three different cards; B writes 8, 9, 10 on three different cards. Both draw randomly two cards from their collections. Then A computes the product of two numbers he/she has drawn, and B computes the sum of two numbers he/she has drawn. The player getting the larger number wins. What is the probability that A wins?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 4

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

Question

Let be a continuous function satisfying, for all. Then the number of elements in set is –

Choices

Choice (4) Response

a.

2

b.

1

c.

4

d.

3

Question number: 5

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2010

MCQ▾

Question

Suppose m, n are positive integers such that. The value of the expression is –

Choices

Choice (4) Response

a.

19

b.

21

c.

7

d.

13

Question number: 6

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

Question

Let I, ω and ω2 be the cube roots of unity. The lest possible degree of a polynomial, with real coefficients, having 2 ω2, 3 + 4 ω, 3 + 4 ω2 and 5 – ω – ω2 as roots is –

Choices

Choice (4) Response

a.

8

b.

5

c.

6

d.

4

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