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Number System

Number System
What should come in place of (?) in the following series ? 10, 19, 30, 43, 58, ?

75
76
77
78

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The series is: +9, +11, +13, +15, +17

Number System
How many times the keys of a typewriter have to be pressed in order to write first 400 counting numbers?

1192
1082
1200
1092

ANSWER DOWNLOAD EXAMIANS APP

Number System
Let R = qs—4. When s=8, R=16. When s=10, R is equal to

21
22
20
23

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

21

Number System
The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?

344
252
296
388

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.

Number System
Two-third of a positive number and 25/216 of its reciprocal are equal. The number is:

5/12
12/5
144/25
25/144

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

83
80
85
77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

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