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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
18
36
27

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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

35
33
27
29

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

200/6 = 33 2/6 => 33 Numbers

Number System
If the sum of five consecutive even numbers A, B, C, D and E is 130, what is the product of A and E ?

660
720
780
840

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the consecutive even numbers be A = 2x, B = 2x + 2, C = 2x + 4, D = 2x + 6 and E = 2x + 8= A + B + C + D + E = 130= 10x + 20 = 130∴ x = 130 - 20/10 = 11Therefore, product of A and E= 22 x 30 = 660

Number System
How many numbers up to 100 are divisible by 7?

93
100
14
107

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

100/7 = 14 2/7 => 14 Numbers

Number System
What is the difference between the local values of 3 in the number 53403?

3030
2997
3003
0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3000 – 3 = 2997

Number System
If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third?

2/9
1/16
4/11
3/10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/10 = 0.3, 1/16 = 0.0625, 4/11 = 0.36, 2/9 = 0.22, 1/7 = 0.14, 5/14 = 0.36 and 5/24 = 0.214/11 > 5/14 > 3/10 > 2/9 > 5/24 > 1/7 > 1/163/10 will be the third.

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