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Number System

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

108
107
106
109

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

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 ?

6383
6363
6353
6373

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 difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ?

Rs. 945
Rs. 926
Rs. 986
Rs. 1054

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054

Number System
74698 + 365 + 85213 + 95 = ?

160371
160361
160341
160351

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 74698 + 365 + 85213 + 95 = 160371

Number System
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

11
3
5
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.

Number System
Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:

5
6
4
10

ANSWER DOWNLOAD EXAMIANS APP
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