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Number System

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
27
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(3x-9):(5x-9) = 9:17 x = 12 => 3x = 36

Number System
The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is:

48
72
54
84

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the second number be x. Then, first number = 2x and third number = 2x/3.2x + x + 2x/3 = 26411x/3 = 264x = 72

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

80
None of these
40
60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

3
9
5
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.

Number System
If the difference between a number and its three fifths is 62, what is the number ?

175
145
165
155

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x - 3x/5 = 62or x = 62 x 5/2 = 155

Number System
Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers?

160
140
150
170

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M of two numbers is given by(Product of the two numbers) / (H.C.F of the two numbers) = 2560/16 = 160.

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