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Number System

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

400
480
360
440

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The number of prime factors of (6)10×(7)17×(55)27

41
91
61
101

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

91

Number System
Find the least number with which 16200 should be multiplied, to make it a perfect cube.

48
45
360
36

ANSWER DOWNLOAD EXAMIANS APP

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

103
97
99
101

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

124
112
120
116

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
2536+4851—?=3450+313

4567
6784
5243
3624

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3624

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