Aptitude | Number System

MCQ

Q 21.

The product of two consecutive odd number is 6723. What is the greater number?

  • 83

  • 85

  • 89

  • 91

Q 22.

Find the sum of the face value of 2 in 4224

  • 22

  • 2

  • 4

  • 8

Q 23.

Find the remainder when 121012 is divided by 12.

  • 1

  • 2

  • 3

  • 4

Q 24.

Find the sum of place and face value of 8 in palindrome 12821?

  • 88

  • 808

  • 88088

  • 8

Q 25.

Find the sum of the face value of 6 and 9 in 914260?

  • 15

  • 20

  • 25

  • 30

Q 26.

Find the face value of 6 in 654321

  • 6

  • 6x105

  • 6000

  • 60

Q 27.

What is the place value of 6 in 65489203?

  • 6x105

  • 6x106

  • 6x107

  • 6x108

Q 28.

If n is a whole number greater than 1 then, n2(n2 - 1) is always divisible by.

  • 60

  • 24

  • 48

  • 12

Put n = 2,

n2(n2 - 1) = 12 which is divisible by 12.

Put n = 3,

n2(n2 - 1) = 72 which is divisible by 12.

Put n = 4,

n2(n2 - 1) = 240 which is divisible by 12.

So, we can say that n2(n2 - 1) is always divisible by 12.

Q 29.

Find the remainder when 919 + 6 is divided by 8.

  • 4

  • 5

  • 6

  • 7

Given,

N = 919 + 6

= (1+8)19 + 6

N/8 = [(1+8)19 + 6]/8

= (1 + 6)/8

= 7/8

So, remainder = 7

Q 30.

If N is divided by 56 it gives 29 as remainder. Find the remainder when N is divided by 8.

  • 3

  • 4

  • 5

  • 6

As per question,

N = 56q + 29

= (8x7q) + (8x3) + 5

= 8(7q + 3) + 5

So, remainder = 5

Q 31.

Find the sum of first 6 multiples of 5.

  • 105

  • 100

  • 95

  • 90

Given, n = 6 and x = 5

Sum of first n multiples of x = x[n(n+1)/2]

= 5[6(6+1)/2]

= 105

Q 32.

Find the sum of first 5 odd numbers.

  • 21

  • 23

  • 25

  • 27

Given, n = 5

Sum of first n odd numbers = n2

= 52

= 25

Q 33.

Find the sum of first 5 even numbers.

  • 28

  • 30

  • 32

  • 34

Given, n = 5

Sum of first n even numbers = n(n+1)

= 5(5+1)

= 30

Q 34.

Find the sum of the cubes of the first 5 natural numbers.

  • 223

  • 224

  • 225

  • 226

Given, n = 5

Sum of the cubes of first n natural numbers = [n(n+1)/2]2

= [5(5+1)/2]2

= 225

Q 35.

Find the sum of the squares of first 10 natural numbers.

  • 375

  • 385

  • 395

  • 365

Given, n = 10

Sum of the sqaures of first n natural numbers = n(n+1)(2n+1)/6

= 10(10+1)(20+1)/6

= 385

Q 36.

Find the remainder when 41000 is divided by 7.

  • 1

  • 2

  • 3

  • 4

41000/7

= ((42)500)/7

= ((16)500)/7

= ((14 + 2)500)/7

= ((2)500)/7

= (22 x (23)166)/7

= (4 x (8)166)/7

= (4 x (7 + 1)166)/7

= (4 x (1)166)/7

= 4

Q 37.

If the sum and difference of the digits of a two digit number is 14 and 2 respectively. Find the product of the digits.

  • 46

  • 48

  • 50

  • Insufficient data

Let the two digits be x and y.

Given, x + y = 14 and x - y = 2

Therefore, x = 8 and y = 6

So, product = xy = 8x6 = 48

Q 38.

If the sum of 4 consecutive even number is 268 then what is the smallest number?

  • 62

  • 64

  • 68

  • 60

Let the 4 consecutive even number be x, x+2, x+4, x+6.

Given, x + (x+2) + (x+4) + (x+6) = 268

Or, x = 64

Q 39.

What least number must be added to 2270 to get a number exactly divisible by 23?

  • 5

  • 6

  • 7

  • 8

2270/23 gives remainder 16.

Required least number = 23 - 16 = 7

Q 40.

How many rational numbers are there between 100 and 1000?

  • 100

  • 900

  • Infinite

  • 1000

There are infinite number of rational numbers between any to given numbers.

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