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Number System

Number System
0.333 .... × 0.444 .... is equal to

0.777 ....
0.148148148 ....
0.121212 ....
1.333 ....

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.148148148 ....

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

61
91
71
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
If the sum of four consecutive numbers is 370, which the following is the third lowest number among them

90
89
91
92

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four consecutive numbers be x, (x + 1), (x + 2), (x + 3) thenx + (x + 1) + (x + 2) + (x + 3) = 370= 4x + 6 = 370∴ x = 364/4 = 91∴ third lowest number among them = x + 1= 91 + 1 = 92

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
If the difference between a number and its 2/5 is 240, find the number.

480
360
440
400

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore x - 2x/5 = 240,        Therefore, 3x/5 = 240Therefore, x = 240x5/3 = 400

Number System
If the fractions8/5,7/2,9/5,5/4,4/5 are arranged in descending order of their values, which one will be fourth?

11/13
5/4
7/9
1/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5/4

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