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Number System

Number System
(12)² - (4.4)² - (0.04)² = ?

124.6384
129.6384
131.6384
125.6384

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(12)² - (4.4)² - (0.04)²= 144 - 19.36 - 0.0016= 124.64 - 0.0016= 124.6384

Number System
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

5/4
3/5
3/10
4/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5

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
How many figures are required for numbering the pages of a book containing 1000 pages?

2893
3892
6489
2883

ANSWER DOWNLOAD EXAMIANS APP

Number System
4500 * ? = 3375

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4500 * x = 3375= x = 3375/4500 = 3/4

Number System
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

1/35
12/35
7/32
35/8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.

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