# 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 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: 26

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

### Question

Let be a positive integer such that

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## 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

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