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Number System

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

8
12
10
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12

Number System
What is the difference between the local values of 3 in the number 53403?

2997
3030
3003
0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3000 – 3 = 2997

Number System
0.333 .... × 0.444 .... is equal to

0.777 ....
1.333 ....
0.121212 ....
0.148148148 ....

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.148148148 ....

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 ?

18
28
22
24

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
One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?

3
9
7
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x/2 – x/3 = 6=> x =63 + 6 = 9

Number System
The difference between 72% of a number and 49% of the same number is 575. What is 9% of that number ?

245
225
295
275

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x.Therefore, 72% of x - 49% of x = 575Therefore, (72 - 49)% of x = 575Therefore, 9% of x = 575/23 x 9 = 225

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