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Number System

Number System
What is the least number, which is perfect square but contains 2700 as its factor?

1800
5400
10800
2700

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

Number System
Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ?

9
6
7
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9

Number System
Find the number which multiplied by 15 is increased by 196.

14
26
28
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,15x - x = 196x = 14

Number System
Which is the smallest fractions among the following ?

27/31
11/13
15/19
13/15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789

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

107
106
108
109

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
The difference between 68% of a number and 35% of the same number is 1216. What is 28% of the number ?

1043.75
1031.75
1037.75
1027.75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be xTherefore 68x / 100 - 35x / 100 = 1216      Therefore x = 1216 x 100 / 33Therefore 28% of x = 28x / 100 = 1216 x 100 / 33 x 28 / 100= 1216 x 100 x 28 / 33 x 1/100 = 1031.75

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