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Number System

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

80
None of these
60
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The world LEASE consists of 5 letters in which E comes twice ∴ 51/21 = 5x4x3x2x1/2x1 = 60

Number System
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

3/10
3/5
4/5
5/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5

Number System
The simplest form of 1.5 : 2.5 is :

17 : 19
5 : 7
3 : 5
13 : 11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 : 5

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
24
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
A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?

8
6
3.5
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8

Number System
5358 * 51 = ?

273358
273348
273258
273268

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5358 * 51 = 5358 * (50 + 1) = 5358 * 50 + 5358 * 1= 267900 + 5358 = 273258

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