Number System MCQs



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NUMBER SYSTEM QUIZZES

Q.1. The difference between the place value and the face value of 7 in the numeral 639758 ?

  • A - 7
  • B - 700
  • C - 693
  • D - 6093

Correct Answer is option - C
Explanation :

In the numeral 639758

The place value of 7 = 7 × 100 = 700

and the face value = 7

So, the difference between the place value and face value = 700 - 7 = 693

Q. 2. What is the unit digit in 7543 ?

  • A - 9
  • B - 7
  • C - 1
  • D - 3

Correct Answer is option - D
Explanation :

71, 72, 73 and 74  gives unit digit 7, 9, 3 and 1 respectively.

7543 = [(74)135 × 73 ]

So, 74  gives unit digit 1 and 73 gives unit digit 3

Therefore, required unit digit = [1135 × 3] = (1 × 3) = 3

Q. 3. 8378 - ? = 5833 - 4298

  • A - 5743
  • B - 6843
  • C - 6743
  • D - 5742

Correct Answer is option - B
Explanation :

Let, 8378 - X = 5833 - 4298

or, 8378 - X = 1535

or, 8378 - 1535 = X

or, X = 6843

Q. 4. (1000)8 ÷ 1021 = ?

  • A - 1000
  • B - 100
  • C - 10000
  • D - 10

Correct Answer is option - A
Explanation :

(1000)8 ÷ 1021 = (103)8 ÷ 1021

= 1024 ÷ 1021 = 10(24 - 21) = 103 = 1000

Q. 5. 8 + 88 +888 +8888 +88888 +888888 = ? 

  • A - 879654
  • B - 987648
  • C - 988648
  • D - 896748

Correct Answer is option - B
Explanation :

8 + 88 +888 +8888 +88888 +888888

= 8 [ 1 + 11 + 111 + 1111 + 11111 + 111111 ]

= 8 [ 123456 ]

= 987648

Q. 6. 0.7 + 0.77 + 0.777 + 0.7777 + 0.77777 = ?

  • A - 7.17862
  • B - 3.79247
  • C - 3.80247
  • D - 4.80347

Correct Answer is option - C
Explanation :

0.7 + 0.77 + 0.777 + 0.7777 + 0.77777

= 7 [ 0.1 + 0.11 + 0.111 + 0.1111 + 0.11111 ]

= 7 [ 0.54321 ]

= 3.80247

Q. 7. Find the value of X, where X = 123 × 64 ÷ 432.

  • A - 5148
  • B - 5084
  • C - 5184
  • D - 5248

Correct Answer is option - C
Explanation :

Nsmcq7

Q. 8. Find the value ofNsq8?

  • A - Nsq8
  • B - Nsq8
  • C - Nsq8
  • D - Nsq8

Correct Answer is option - A
Explanation :

Nsq8

Q. 9. 15783 × 9999 = ?

  • A - 158813117
  • B - 147814217
  • C - 166841217
  • D - 157814217

Correct Answer is option - D
Explanation :

15783 × 9999 = 15783 × (10000 - 1)

= 157830000 - 15783

= 157814217

Q. 10. (74)2 - (26)2 = 40 × A, then A = ?

  • A - 4800
  • B - 120
  • C - 480
  • D - 240

Correct Answer is option - B
Explanation :

(74)2 - (26)2 = 40 × A

or, 40 × A = (74 + 26) × (74 - 26) [·.· a2 - b2 = (a + b)(a - b)]

or, 40 × A = 100 × 48

or, A = 4800/40

or, A = 120

Q. 11. Find the value of (370 × 370 + 130 × 130 + 2 × 370 × 130) = ?

  • A - 2500
  • B - 250000
  • C - 500
  • D - 150000

Correct Answer is option - B
Explanation :

Let 370 = a and 130 = b

Then we have, (a × a + b × b + 2 × a × b)

= (a2 + b2 + 2.a.b) = (a + b)2

= (370 + 130)2 [put, a = 370 and b = 130]

= (500)2 = 250000

Q. 12. Find the sum of 35 natural numbers ?

  • A - 420
  • B - 1260
  • C - 630
  • D - 530

Correct Answer is option - C
Explanation :

Let, the sum of n numbers be Sn 

Then Sn =(1 + 2 + 3 + ........ + 35)

Clearly we see that, this is in an A.P.

Where first term, a = 1; common difference, d = 1; total numbers, n = 35

So, we know that Sn = n/2 [2a + (n - 1)d] = 35/2 [ 2 × 1 + (35 - 1) × 1 ]

= 35/2 [ 2 + 34 ] = 35/2 × 36 = 35 × 18 = 630

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