# Basic Mathematics-Arithmetic (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 7 - 12 of 25

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## Question number: 7

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2011

MCQ▾

### Question

Let [x] denote the largest integer not exceeding x and . Then is equal to –

### Choices

Choice (4) Response

a.

2012x

b.

0

c.

2012

d.

1006

## Question number: 8

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

### Question

Let a, b, c, d be real numbers such that,

For every natural number n. Then|a|+| b|+| c|+| d|is equal to –

### Choices

Choice (4) Response

a.

31

b.

16

c.

15

d.

32

## Question number: 9

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2012

MCQ▾

### Question

Suppose a1, a2, a3, …, a2012 are integers arranged on a circle. Each number is equal to the average of its two adjacent numbers. If the sum of all even indexed numbers is 3018, what is the sum of all numbers?

### Choices

Choice (4) Response

a.

1509

b.

3018

c.

6036

d.

0

## Question number: 10

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2012

MCQ▾

### Question

Let (x, y) be a variable point on the curve. Then is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 11

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2012

MCQ▾

### Question

The number of ordered pairs (m, n), where such that 6m + 9n is a multiple of 5 is –

### Choices

Choice (4) Response

a.

500

b.

2500

c.

1250

d.

625

## Question number: 12

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

### Question

Let n be a positive integer such that,

Let be the number of digits in the binary expansion of n. Then the minimum and the maximum possible value of are,

### Choices

Choice (4) Response

a.

5 and 16

b.

4 and 17

c.

5 and 17

d.

4 and 16

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