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Number System

Number System
What should come in the place of ' ? ' in the following number series ? 2, 5, 9, 19, 37, ?

76
75
77
78

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2 x 2 + 1 = 5;5 x 2 - 1 = 99 x 2 + 1 = 19: 19 x 2 - 1 = 3737 x 2 + 1 = 75

Number System
If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ?

4/9
6/9
3/9
5/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9

Number System
64% of 2650+40% 0f 320=?

1824
2096
1578
1247

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1824

Number System
If A + B = 30 and AB = 94, What is the value of A² + B² ?

824
920
625
712

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94                                = 900 - 188 = 712

Number System
If the numberator of a fraction is increased by 50% and denominator by 20% the fraction become 9/15. What was the original fraction ?

6/7
13/25
3/5
12/25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fraction be x/yWe have 150x/120y = 9/15= x/y = 12/25

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:

27
18
36
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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