Basic Mathematics (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 25 - 28 of 57

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Question number: 25

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 26

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

Let Equation be a positive integer such that

Equation

Let Equation be the number of digits in the binary expansion of Equation . Then the minimum and maximum possible values of Equation are – (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 27

» 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: 28

» 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

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