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Number System

Number System
How many figures are required to number the pages the pages of a book containing 365 pages?

977
897
967
987

ANSWER DOWNLOAD EXAMIANS APP

Number System
106 * 106 - 94 * 94 = ?

1904
2400
1906
2000

ANSWER DOWNLOAD EXAMIANS APP

Number System
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is:

30
36
18
27

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(3x-9):(5x-9) = 9:17 x = 12 => 3x = 36

Number System
84 * 29 + 365 = ?

- 2071
2801
2436
- 2801

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

- 84 * (30 - 1) + 365= - (84 * 30) + 84 + 365= - 2520 + 449 = - 2071

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

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

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
If A + B = 30 and AB = 94, What is the value of A² + B² ?

920
712
625
824

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94                                = 900 - 188 = 712

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