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Number System

Number System
A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?

11
5
9
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

221 + 43 = 264/17 = 9 (Remainder)

Number System
Which is the smallest fractions among the following ?

11/13
15/19
13/15
27/31

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789

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

120
116
124
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
The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?

1
4
6
Nothing can be said.

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(10x + y) – (10y + x) = 54x – y = 6

Number System
The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ?

85.5
83.5
82.5
84.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 165x - y = 92x = 174                         ∴ x = 87 and y = 78∴ x + y/2 = 165/2               = 82.5

Number System
On dividing number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?

11
0
3
5

ANSWER DOWNLOAD EXAMIANS APP
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