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NUMBER SYSTEM

Number System
The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ?

85.5
82.5
83.5
84.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 165x - y = 92x = 174                         ∴ x = 87 and y = 78∴ x + y/2 = 165/2               = 82.5

Number System
What is the value of 8/11 of 5/7 of 96% of 28875 ?

15400
14400
12900
13800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number = 8 x 5 x 96 x 28875/11 x 7 x 100              = 14400

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

1240
1260
1300
1280

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The difference between 8% of a number and 3% of the same number is 39. What is 2.8% of that number ?

27.84
24.84
25.84
21.84

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x(8 - 3)% = 39x = 3900/5 = 780∴ 2.8% of 780= 780 x 2.8/100 = 21.84

Number System
If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ?

81
84
82
83

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x² - (17*17*17)  = 2143or x² = 2143 + 4913 = 7056∴ x = 84

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