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Number System

Number System
What least number shall be added to 4700 to make it a perfect square ?

71
61
91
81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.

Number System
The digit in unit's place of a three digit number is thrice the digit in ten's place & the digit in hundred's place is two-third of the digit in ten's place. If the sum of three digits of number is 14

215
221
239
211

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x.∴ Unit's digit = 3xHundered's digit = 2x/3∴ x + 3x + 2x/3 = 14= 3x + 9x + 2x = 14 x 3= 14x = 14 x 3= x = 3∴ Number = 239

Number System
Which is the largest fraction among the following ?

21/22
21/23
24/25
12/13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

21/23 = 0.913,12/13 = 0.92323/25 = 0.92, 21/22 = 0.9545, 24/25 = 0.96

Number System
A certain number successively divided by 2, 5 and 7 leaves remainders 1, 2 and 3 respectively. When the same number is divided by 70, what is the remainder?

35
34
33
36

ANSWER DOWNLOAD EXAMIANS APP

Number System
What is the difference between the local value of 7 and 5 in the number 2574?

403
413
570
430

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

500 – 70 = 430

Number System
If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ?

1/5
8/5
7/5
3/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175        = 8/5

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