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Number System

Number System
Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case.

391
384
388
386

ANSWER DOWNLOAD EXAMIANS APP

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

382
343
378
396

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
7.8 x 4.5 x 4.2/0.14 = ?

1053
1032
1012
1087

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7.8 x 4.5 x 4.2/0.14 = 1053

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

120
124
112
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
Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:

6
5
10
4

ANSWER DOWNLOAD EXAMIANS APP

Number System
Sum of the digits number is 8 and their product is 12. Find the difference between the digits?

None
6
2
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4

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