# Basic Mathematics-Arithmetic (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 80 - 83 of 83

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## Question number: 80

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2016

MCQ▾

### Question

Consider the equation , where are real numbers. Then,

### Choices

Choice (4) Response

a.

There are infinitely many solution pairs

b.

There is no solution pair

c.

There are exactly two solution pairs

d.

There is exactly one solution pair

## Question number: 81

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2016

MCQ▾

### Question

Let be real number such that for some positive integers and . Then for any choice of positive integers and , is never equal to –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 82

» Basic Mathematics » Arithmetic » Exponents, Roots and Logarithms

Appeared in Year: 2016

MCQ▾

### Question

The number of digits in decimal expansion of is,

### Choices

Choice (4) Response

a.

18

b.

16

c.

19

d.

17

## Question number: 83

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2016

MCQ▾

### Question

Let be non – zero real numbers such that

Then –

### Choices

Choice (4) Response

a.

b.

c.

d.

The sign of or depends on the choice of

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