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Number System

Number System
Find the number which multiplied by 15 is increased by 196.

20
26
14
28

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,15x - x = 196x = 14

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

392880
382880
372880
362880

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of letters = 9!                       = 9*8*7*6*5*4*3*2*1                       = 362880

Number System
1089/? = ?/1296

1188
1348
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
If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:

28
12
180
160

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

40
38
37
39

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

Number System
A number when multiplied by five times of itself give the value equal to 1445. What is the number ?

16
15
17
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x x 5x = 1445= 5x² = 1445= x² = 289∴ x = 17

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