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Number System

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

106
107
108
109

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ?

4589
2476
3289
1760

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A + B + C + D + E/5 = 42∴ C = 42,   ∴ B = 40,  ∴ D = 44∴ B x D = 40 x 44 = 1760

Number System
If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ?

1/9
3/4
7/5
2/7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5

Number System
3√68921 = ?

21
31
41
51

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 3√68921= 3√41 x 41 x 41= 41

Number System
If the average of two numbers is 88.5 and one number is 5.5 less than the average. Find out the next number.

91
86
94
97

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

94

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

1975
1945
1955
1965

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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