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Number System

Number System
What is the sum of all the prime numbers from 20 to 40?

118
120
119
117

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

23 + 29 + 31 + 37 = 120

Number System
4500 * ? = 3375

1/4
3/4
3/5
2/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4500 * x = 3375= x = 3375/4500 = 3/4

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

1955
1945
1965
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

Number System
If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1)

88
54
75
64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

Number System
When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number?

101
97
99
103

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.

Number System
(12)² - (4.4)² - (0.04)² = ?

124.6384
131.6384
129.6384
125.6384

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(12)² - (4.4)² - (0.04)²= 144 - 19.36 - 0.0016= 124.64 - 0.0016= 124.6384

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