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Number System

Number System
√360 - 225 x 2 + 379 = ?

20
19
17
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √360 - 225 x 2 + 379 = √360 - 450 + 379 = √289= 17

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

3326400
None of these
1326400
2326400

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

CORPORATION = 11 letters 'O' comes thrice,'R' twice.∴ total no. of ways = 111/3121 = 3326400

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
Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ?

7
8
9
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9

Number System
In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ?

24
28
18
22

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28

Number System
In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?

1/5
1/25
Data inadequate
2/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A = 2B => B = 1/2 A, so, AB = 2/25 1/2 A2 = 2/25A2 = 4/25 A = 2/5

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