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Number System

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

107
109
106
108

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
5525 ÷ 17 = √?

105625
99225
93025
112225

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√? = 5525/17 = 325∴ ? = (325)² = 105625

Number System
The difference between two integers is 5. Their product is 500. Find the numbers.

15, 20
20, 25
30, 25
21, 26

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.

Number System
Find the average of the following set of scores 450, 1050, 12, 390, 143, 286, 550, 999

490
495
485
480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required average score                    = (450 + 1050 + 12 + 390 + 143 + 286 + 550 + 999) / 8                   = 3880 / 8                   = 485

Number System
The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ?

1
2
3
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(10x + y) - (10y + x) = 36,9(x - y) = 36/9 = 4

Number System
If the difference between a number and its 2/5 is 240, find the number.

480
440
400
360

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore x - 2x/5 = 240,        Therefore, 3x/5 = 240Therefore, x = 240x5/3 = 400

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