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Number System

Number System
What is the sum of 1 + 2 + 3+ ... + 27 ?

382
396
343
378

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378

Number System
1089/? = ?/1296

1188
1348
1082
1278

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 1089 x 1296(?)²= (11 x 11 x 9) x (12 x 12 x 9)(?)= 11 x 12 x 9= 1188

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

145
165
155
175

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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

97
103
101
99

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
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:

11
13
10
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.

Number System
(4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8) = ?

29.81
28.56
30.52
27.54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8)   = 70.84 - 40.32   = 30.52

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