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Number System

Number System
1089/? = ?/1296

1348
1278
1188
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 sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?

None of these
32
8
27

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
1827÷ 36 x ?=162.4

2.6
3.2
1.9
4.3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3.2

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' ?

1456
4098
2871
3016

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

Number System
In how many different ways can the letters of word "COLLEGE" be arranged ?

1280
1240
1260
1300

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 7!/2!2! = 1260(∵ L and E come twice)

Number System
The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ?

None of these
36
14
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54

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