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Number System

Number System
If the difference between a number and its three fifths is 62, what is the number ?

145
175
155
165

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x - 3x/5 = 62or x = 62 x 5/2 = 155

Number System
7432 ÷ 32 x ? = 2787

78
41
21
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7432/32 x ? = 2787= ? = 2787 x 32/7432 = 12

Number System
3251 + 587 + 369 - ? = 3007

1200
1300
1375
1250

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 4207 - x = 3007 Then, x = 4207 - 3007 = 1200

Number System
If the difference between the squares of two consecutive numbers is 47, what is the smaller number ?

24
25
23
26

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23

Number System
What is the average of the following set of numbers ? 173, 192, 198, 204, 211, 223, 227

222
234
204
210

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Avg  = 173 + 192 + 198 + 204 + 211 + 223 + 227/7        = 1428/7        = 204

Number System
The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?

252
296
344
388

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.

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