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Number System

Number System
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:

None of these
30
20
40

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Number System
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

3
5
11
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.

Number System
432+2170+35=?

494
729
678
523

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

494

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

79
83
74
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
Of an amount, 20% of 25% of 30% is Rs 75. Then what is the original amount ?

Rs. 3000
Rs. 2000
Rs. 5000
Rs. 4000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the amount be x.∴ X x 20/100 x 25/100 x 30/100 = 75∴ X = 75 x 5 x 4 x 10/3  = 5000

Number System
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?

12
13
0
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number = (12 * 35) = 420Correct quotient = 420/21 = 20

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