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Numbers - General Questions (16)

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  • Numbers - General Questions
121. 

72519 x 9999 = ?

A. 725117481
B. 674217481
C. 685126481
D. 696217481
E. None of these

Answer: Option A

Explanation:

72519 x 9999 = 72519 x (10000 - 1)
  = 72519 x 10000 - 72519 x 1
  = 725190000 - 72519
  = 725117481.
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122. 

(12)3 x 64 ÷ 432 = ?

A. 5184
B. 5060
C. 5148
D. 5084
E. None of these

Answer: Option A

Explanation:

Given Exp. =(12)3 x 64=(12)3 x 64= (12)2 x 62 = (72)2 = 518443212 x 62

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123. 

The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

 

A. 240
B. 270
C. 295
D. 360

Answer: Option B

Explanation:

Let the smaller number be x. Then larger number = (x + 1365).

 x + 1365 = 6x + 15

 5x = 1350

 x = 270

Smaller number = 270.

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124. 

The sum of first five prime numbers is:

A. 11
B. 18
C. 26
D. 28

Answer: Option D

Explanation:

Required sum = (2 + 3 + 5 + 7 + 11) = 28.

Note: 1 is not a prime number.

Definition: A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.

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125. 

5358 x 51 = ?

A. 273258
B. 273268
C. 273268
D. 273358

Answer: Option A

Explanation:

5358 x 51 = 5358 x (50 + 1)
  = 5358 x 50 + 5358 x 1
  = 267900 + 5358
  = 273258.
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126. 

What is the unit digit in {(6374)1793 x (625)317 x (341491)}?

A. 0
B. 2
C. 3
D. 5

Answer: Option A

Explanation:

Unit digit in (6374)1793 = Unit digit in (4)1793

    = Unit digit in [(42)896 x 4]

    = Unit digit in (6 x 4) = 4

Unit digit in (625)317 = Unit digit in (5)317 = 5

Unit digit in (341)491 = Unit digit in (1)491 = 1

Required digit = Unit digit in (4 x 5 x 1) = 0.

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127. 

Which of the following is a prime number ?

A. 33
B. 81
C. 93
D. 97

Answer: Option D

Explanation:

Clearly, 97 is a prime number.
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128. 

The largest 4 digit number exactly divisible by 88 is:

A. 9944
B. 9768
C. 9988
D. 8888
E. None of these

Answer: Option A

Explanation:

Largest 4-digit number = 9999

 88) 9999 (113
     88
     ----
     119
      88
     ----
      319
      264
      ---
       55
      ---
       
 Required number = (9999 - 55)
                 = 9944.      
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