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Number System

Number System
If one-third of one fourth of a number is 15, then three-tenth of that number is:

54
25
45
35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,1/3 of 1/4 of x = 15x = 15 * 12 = 180So, required number = (3/10 * 180) = 54.

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 ?

7
9
6
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
If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ?

3/9
6/9
4/9
5/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9

Number System
If the sum of four consecutive numbers is 370, which the following is the third lowest number among them

90
92
89
91

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four consecutive numbers be x, (x + 1), (x + 2), (x + 3) thenx + (x + 1) + (x + 2) + (x + 3) = 370= 4x + 6 = 370∴ x = 364/4 = 91∴ third lowest number among them = x + 1= 91 + 1 = 92

Number System
What is the sum of all the prime numbers from 20 to 40?

119
117
118
120

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

23 + 29 + 31 + 37 = 120

Number System
What should be the least number to be added to the 51234 number to make it divisible by 9?

3
4
6
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The least number to be added to the numbers to make them divisible by 9 is equal to the difference of the least multiple of 9 greater than the sum of the digits and sum of the digits.Sum of digits = 15.Nearest multiple of 9 greater than sum of digits = 18.Hence 3 has to be added.

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