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Number System

Number System
If 272/3 × 81-1/2 = 3x, the value of x is

1
0
2
3

ANSWER DOWNLOAD EXAMIANS APP

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

163
124
146
179

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

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

5
3
4
6

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.

Number System
In how many different ways can the letters of the word 'FRUGAL'be arranged ?

556
660
720
515

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In FRUGAL there ae six difference letters Therefore, 6 !                       = 6 x 5 x 4 x 3 x 2 x 1 = 720

Number System
If the fractions 1/7, 3/5, 2/5, 5/6 and 9/11 are arranged in descending order of their values, which one will be the fourth number?

4/5
1/5
2/5
3/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/4 = 14. 3/5  = 6.2/5 = 4.5/6 = 83.9/11 = 82.Therefore, 83 > 82 > 6 > 14

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