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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:

30
20
None of these
40

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Number System
The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number.

50
12.5
75
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ x + y = 12    ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75

Number System
What should be the least number to be added to the 51234 number to make it divisible by 9?

3
5
4
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The least number to be added to the numbers to make them divisible by 9 is equal to the difference of the least multiple of 9 greater than the sum of the digits and sum of the digits.Sum of digits = 15.Nearest multiple of 9 greater than sum of digits = 18.Hence 3 has to be added.

Number System
Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these number

None
18
32
24

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Number System
The difference between two integers is 5. Their product is 500. Find the numbers.

21, 26
20, 25
30, 25
15, 20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.

Number System
If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ?

124
163
146
179

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x²   = 15376Therefore, x² = 15376                    x = 124

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