Basic Mathematics-Arithmetic (KVPY Stream-SA (Class 11) Math): Questions 75 - 79 of 83

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Question number: 75

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

Let a,b,c, be natural numbers in an arithmetic progression such that a+b+c in the cube of an integer and b is square of integer. The least possible value of the number of digits of b 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 n for which

n+1n1<0.6 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 m,n,o be non – zero real number such that mn+no+om=5 and nm+on+mo=12 , then m3n3+n3o3+o3m33 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 2 digit numbers n such that n 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 5hrs and the second one burns in 3hrs . Both the candles are lit together. After how many minutes the length of first candle is 3 times that of the other?

Choices

Choice (4) Response

a.

150

b.

90

c.

135

d.

120

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