# Basic Mathematics-Arithmetic (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 73 - 79 of 83

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## Question number: 73

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

### Question

Let be three non – negative integers such that . The maximum possible value of is – (Model Paper)

### Choices

Choice (4) Response

a.

39

b.

40

c.

29

d.

16

## Question number: 74

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

### Question

If are natural numbers such that , then the value of for minimum value of is – (Model Paper)

### Choices

Choice (4) Response

a.

2016

b.

1009

c.

1401

d.

1

## Question number: 75

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

### Question

Let be natural numbers in an arithmetic progression such that in the cube of an integer and is square of integer. The least possible value of the number of digits of is. (Model Paper)

### Choices

Choice (4) Response

a.

16

b.

4

c.

25

d.

9

## Question number: 76

» Basic Mathematics » Arithmetic » Simplifying Expressions

MCQ▾

### Question

The least positive integer for which

is – (Model paper)

### Choices

Choice (4) Response

a.

7

b.

2

c.

4

d.

3

## Question number: 77

» Basic Mathematics » Arithmetic » Simplifying Expressions

MCQ▾

### Question

Let be non – zero real number such that and , then is equal to, (Model paper)

### Choices

Choice (4) Response

a.

- 75

b.

55

c.

- 55

d.

150

## Question number: 78

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2016

MCQ▾

### Question

The number of all digit numbers such that is equal to the sum of the square of digit in its tens place and the cube of the digit in units place is

### Choices

Choice (4) Response

a.

0

b.

1

c.

2

d.

4

## Question number: 79

» Basic Mathematics » Arithmetic » Rates, Speeds and Unitary Method

Appeared in Year: 2016

MCQ▾

### Question

There are two candles of same length and same size. Both of them burn at uniform rate. The first one burns in and the second one burns in . Both the candles are lit together. After how many minutes the length of first candle is times that of the other?

### Choices

Choice (4) Response

a.

150

b.

90

c.

135

d.

120

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