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Number System

Number System
What is the sum of all the prime numbers from 20 to 40?

118
119
117
120

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

23 + 29 + 31 + 37 = 120

Number System
In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ?

22
18
28
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28

Number System
What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ?

7878
5656
4545
3434

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

15, (15 + 2) x 3 = 51,(51 + 3) x 3 = 162, (162 + 4) x 3 = 498, (498 + 5) x 3 = 1509(1509 + 6) x 3 = 4545

Number System
If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:

12
180
28
160

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.

Number System
On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

5
4
6
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.

Number System
The average age of seven boys sitting in a row facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years, what is the age of the b

31 years
29 years
28 years
30 years

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Age of the fourth boy = (26 x 7 - 3 x 19 - 3 x 32) years = (182 - 57 - 96) years = 29 years

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