Basic Mathematics-Algebra (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 6 of 8

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Question number: 1

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

Question

Let be a differentiable function such that and for some a < b. Then the minimum numbers of roots of in the interval (a, b) is –

Choices

Choice (4) Response

a.

0

b.

1

c.

3

d.

2

Question number: 2

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2012

MCQ▾

Question

In the real number system, the equation has –

Choices

Choice (4) Response

a.

No solution

b.

Exactly two distinct solutions

c.

Infinitely many solutions

d.

Exactly four distinct solutions

Question number: 3

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2013

MCQ▾

Question

Let 𝜔 be a cube root of unity not equal to 1. Then the maximum possible value of where a, b, c ∈ {+1, -1} is –

Choices

Choice (4) Response

a.

b.

2

c.

d.

0

Question number: 4

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2012

MCQ▾

Question

The maximum value M of, as x varies over real, satisfies –

Choices

Choice (4) Response

a.

b.

9 < M < 25

c.

d.

Question number: 5

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2014

MCQ▾

Question

Suppose a parabola has two intercepts one positive and one negative, and its vertex is . Then which of the following is true –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 6

» 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

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