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Number System

Number System
Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:

5
4
6
10

ANSWER DOWNLOAD EXAMIANS APP

Number System
When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ?

35
55
65
45

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45

Number System
The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?

8
None of these
27
32

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.

Number System
36% of 850+? % of 592 = 750

12.5
50
25
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

75

Number System
The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ?

1680
1780
1480
1580

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40                                 s =  x + 6 = 42Therefore, Product = 1680

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

81
91
61
71

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.

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