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Number System

Number System
(444 x 44 x 4) ÷ 40 ?

2153.6
1853.6
1953.6
2053.6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 444 x 44 x 4/40 = 1953.6

Number System
How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?

11
9
8
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(700 – 300)/42 = 9 22/42 => 9 Numbers

Number System
What should come in the place of question mark (?) in the number series given below?

160
157
159
158

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

160

Number System
In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ?

58
54
60
56

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.

Number System
The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ?

1680
1780
1480
1580

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40                                 s =  x + 6 = 42Therefore, Product = 1680

Number System
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

3/5
3/10
5/4
4/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5

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