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Number System

Number System
On converting the following base-2 numeral in base ten, 1101101, we get

109
106
107
108

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder?

3
0
1
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number = 269 * 68 + 0 = 1829267) 18292 (273       18291         --------                1Required number = 1.

Number System
The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, then what will be the original number?

59
39
49
69

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

39

Number System
A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ?

6363
6373
6383
6353

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + x + 1 + x + 2 + x + 3 + x + 4  = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80  ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383

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' ?

1780
1580
1680
1480

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
A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?

5
0
7
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

39 + 20 = 59/13 = 7 (Remainder)

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