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Number System

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

1300
1240
1260
1280

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 7!/2!2! = 1260(∵ L and E come twice)

Number System
450% of a number is 4725. What is 82% of that number ?

871
851
841
861

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 450/100 = 4725= x = 4725 x 100/450 = 1050∴ 82% of 1050 = 1050 x 82/100= 861

Number System
36% of 850+? % of 592 = 750

25
75
50
12.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

75

Number System
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

81
24
18
42

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.

Number System
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?

7
11
5
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7

Number System
Find the least value of 3x + 4y if x2y3 = 6.

7
6
10
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

10

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