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Number System

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

109
106
108
107

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?

70
29
92
Cannot be determined

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.

Number System
Which number should replace question mark (?) in the following equation ? ?/342 = 38/?

114
116
112
118

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114

Number System
17580 x 1.8 - 13720 x 2.1 = ? x 2.4

1160
1140
1120
1180

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2.4 x ? = 31644 - 28812 = 2832∴ ? = 2832/2.4= 1180

Number System
The sum of three consecutive numbers is 87. The greatest among these three number is:

29
30
26
28

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.

Number System
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1945
1965
1955
1975

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

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