Exercise: Numbers

Questions for: Numbers

72519 x 9999 = ?
A:
725117481
B:
674217481
C:
685126481
D:
696217481
Answer: A
72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481.
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(12)3 x 64 ÷ 432 = ?
A:
5184
B:
5060
C:
5148
D:
5084
Answer: A
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
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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: B

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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The sum of first five prime numbers is:
A:
11
B:
18
C:
26
D:
28
Answer: D

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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5358 x 51 = ?
A:
273258
B:
273268
C:
273348
D:
273358
Answer: A
5358 x 51 = 5358 x (50 + 1)
= 5358 x 50 + 5358 x 1
= 267900 + 5358
= 273258.
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