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Number System

Number System
If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:

15
30
20
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,(1/2 x + 1/5 x) - 1/3 x = 22/311/30 x = 22/3x = 20

Number System
The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ?

245
162
188
141

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162

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

1037.75
1027.75
1043.75
1031.75

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

Number System
If the sum of five consecutive even numbers A, B, C, D and E is 130, what is the product of A and E ?

840
660
780
720

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the consecutive even numbers be A = 2x, B = 2x + 2, C = 2x + 4, D = 2x + 6 and E = 2x + 8= A + B + C + D + E = 130= 10x + 20 = 130∴ x = 130 - 20/10 = 11Therefore, product of A and E= 22 x 30 = 660

Number System
The sum of three consecutive multiples of 3 is 72. What is the largest number?

36
27
21
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.

Number System
If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ?

179
163
124
146

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x²   = 15376Therefore, x² = 15376                    x = 124

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