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Number System

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

2504
2508
2510
2520

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520

Number System
The difference between a number and its three-fifth is 50. What is the number?

None of these
75
100
125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.

Number System
Two-third of a positive number and 25/216 of its reciprocal are equal. The number is:

144/25
12/5
5/12
25/144

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12

Number System
If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ?

13
15
11
17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)²                       = 1394 - 1225                       = 169Therefore, x = √169 = 13

Number System
If the difference between a number and two-fifths of that number is 45 what is the number ?

76
78
75
77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x ∴ x - 2x/5 = 45∴ x = 75

Number System
The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ?

2476
4589
3289
1760

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A + B + C + D + E/5 = 42∴ C = 42,   ∴ B = 40,  ∴ D = 44∴ B x D = 40 x 44 = 1760

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