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Number System

Number System
√343 = ?

21
19
18
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √343 = 18

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
The product of two consecutive position odd numbers is 6723. What is the smaller number?

74
83
79
71

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83

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:

12
13
10
11

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
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is:

27
18
30
36

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(3x-9):(5x-9) = 9:17 x = 12 => 3x = 36

Number System
Which one of the following is the sum of the numbers 1, 3, 5, 7, 9…. up to nth number?

N2
N2 + 1
N(N + 1)
N(N + 1)/2

ANSWER DOWNLOAD EXAMIANS APP
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