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Number System

Number System
On converting the following base-2 numeral in base ten, 1101101, we get

109
108
106
107

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ?

Rs. 926
Rs. 986
Rs. 1054
Rs. 945

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054

Number System
Look at this series: 1000, 200, 40, ... What number should come next?

8
24
2
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

This is a simple division series. Each number is divided by 5. Rule = (1st number / 5 = 2nd number) (2nd number / 5 = 3rd number)....Now, (1000 / 5 = 200), (200 / 5 = 40), (40 / 5 = 8)...So answer is a = 8.

Number System
7.98 x 3.75 + 1.28 x 15.5 = ?

48.765
49.765
47.765
46.765

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 29.925 + 19.84 = 49.765

Number System
If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ?

260
180
120
60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120

Number System
Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.

18
12
8
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.

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