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Number System

Number System
What is the value of ? in the following equations ? 72/? = ?/50

100
40
80
60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60

Number System
3√103823 = ?

52
47
44
41

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 3√103823 = 3√47 x 47 x 47 = 47

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

124
116
120
112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

Number System
1051.64 - 159.42 - 96.84 + 162.37 - 940.26 + 504 = ?

521.49
491.49
501.49
511.49

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 1718.01 - 1196.52 = 521.49

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
5358 * 51 = ?

273258
273348
273268
273358

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5358 * 51 = 5358 * (50 + 1) = 5358 * 50 + 5358 * 1= 267900 + 5358 = 273258

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