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Number System

Number System
How many numbers up to 200 are divisible by 2 and 3 both?

35
27
29
33

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

200/6 = 33 2/6 => 33 Numbers

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
84.5
83.5

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

25.84
24.84
27.84
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
In how many different ways can the letters of the word "MOBILIZE" be arranged ?

19765
20160
17453
18456

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The word MOBILIZE has eight letters in which I comes twice ∴ Number of arrangements = 8!/2! = 20160

Number System
How many numbers between 300 and 800 can be by using digits 2, 4, 5, 6 and 0 ?

36
48
52
56

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∴ Reqd . numbers = 3 x 4P2 = 3 x 12 = 36

Number System
(12)² - (4.4)² - (0.04)² = ?

124.6384
125.6384
129.6384
131.6384

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(12)² - (4.4)² - (0.04)²= 144 - 19.36 - 0.0016= 124.64 - 0.0016= 124.6384

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