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Number System

Number System
If 1.5 x= 0.04 y, then the value of (y-x) (y+x) is:

83/77
77/73
73/77
93/77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

73/77

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
211
239

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
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1945
1955
1965
1975

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

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

91
81
71
61

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
Four-fifth of a number is 10 more than two-third of the same number. What is the number?

75
89
91
35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

75

Number System
On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

6
7
5
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.

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