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Number System

Number System
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?

11
5
7
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7

Number System
If A + B = 30 and AB = 94, What is the value of A² + B² ?

920
712
625
824

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94                                = 900 - 188 = 712

Number System
The sum of three consecutive numbers is 87. The greatest among these three number is:

30
29
26
28

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.

Number System
The product of two successive numbers is 4556. Which of the following is the larger of the two numbers?

78
67
63
68

ANSWER DOWNLOAD EXAMIANS APP

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
How many times the keys of a typewriter have to be pressed in order to write first 400 counting numbers?

1200
1192
1082
1092

ANSWER DOWNLOAD EXAMIANS APP
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