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Number System

Number System
The product of two successive numbers is 4556. Which of the following is the larger of the two numbers?

68
78
67
63

ANSWER DOWNLOAD EXAMIANS APP

Number System
The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?

388
296
252
344

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.

Number System
If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1)

54
88
64
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

Number System
1089/? = ?/1296

1348
1188
1278
1082

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 1089 x 1296(?)²= (11 x 11 x 9) x (12 x 12 x 9)(?)= 11 x 12 x 9= 1188

Number System
The average of 7 numbers is 15, that of the first three is 6 and that of the last three is 23. What is the fourth number?

15
13
18
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4th No. = (Total of 7 Nos) - (Total of first three + total of last 3)             = (15 x 7) - (6 x 3 + 23 x 3)             = 105 - (18 + 69)             =105 - 87             = 18

Number System
The average of five consecutive even numbers A, B, C, D and E is 54. What is the product of'B' and 'E' ?

2871
4098
3016
1456

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because, The even numbers are consecutive and their average is 54.∴ The number C will be 54.∴ A = 50, B = 52, D = 56, E = 58B x E = 52 x 58 = 3016

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