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Number System

Number System
If the difference between a number and its three-fourth is 18, find the number.

72
61
57
68

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.According to the question,x - 3x/4 = 18= x/4 = 18= x = 4 x 18 = 72

Number System
Pick the wrong number from the given number series. 3,4,10,33,135,685,4116

685
33
135
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The correct number is 136.3 x 1 + 1 = 44 x 2 + 2 = 1010 x 3 + 3 = 3333 x 4 + 4 = 136136 x 5 + 5 = 685685 x 6 + 6 = 4116

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

116
112
124
120

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

77
83
85
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

Number System
The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number

845
724
673
636

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100  = 636

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

119
120
117
118

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

23 + 29 + 31 + 37 = 120

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