# Number System Questions and Answers updated daily – Aptitude

Number System Questions: Solved 444 Number System Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

## Number System Questions

441. The difference between a two digit number and the number obtained by interchanging two digits of the number is 9.The sum of the two digits of the number is 15. What is product of the two digits of two digit number ?

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Correct Ans:56

Explanation:

Sum of the digits is 15, this can happen only when the digits are 7 and 8.

The number is 87, interchanging digits we get 78,

Difference between these two numbers = 9

Product of these two digits = 7 x 8 = 56

The number is 87, interchanging digits we get 78,

Difference between these two numbers = 9

Product of these two digits = 7 x 8 = 56

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442. The product of two consecutive even numbers is 15128. Find the average of these two numbers.

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Correct Ans:123

Explanation:

We wil go from the option. We will eliminate 133 and 139, since their product will exceed 16900.

Now the tug of war is between 123 and 127.

Lets take 123, if 123 is the average then the consecutive even numbers will be 122 and 124.

Now, observe, 122 x 124 = ....8, that is the resulting number ends with 8.

Now you try for 127.

(HINT : The consecutive even number with 127 as average us 126 and 128)

The two numbers are 122 and 124. Average is 123.

Now the tug of war is between 123 and 127.

Lets take 123, if 123 is the average then the consecutive even numbers will be 122 and 124.

Now, observe, 122 x 124 = ....8, that is the resulting number ends with 8.

Now you try for 127.

(HINT : The consecutive even number with 127 as average us 126 and 128)

The two numbers are 122 and 124. Average is 123.

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443. What is the least number to be added with 2016 to make it perfect square?

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Correct Ans:9

Explanation:

452 = 2025, If we add 9 with 2016 we get 2025.

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444. When all students in a school are made to stand in a row of 54, 30 such rows are formed. If the students are made to stand in the rows of 45, how many such rows can be formed ?

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Correct Ans:36

Explanation:

Given number of rows = 54, each row contains 30 students.

Total number of students = 54 x 30.

If there are 45 and k rows, then 45 x k = 54 x 30

Dividing both sides by 9, we get 5 x k = 6 x 30 => k 36

Total number of students = 54 x 30.

If there are 45 and k rows, then 45 x k = 54 x 30

Dividing both sides by 9, we get 5 x k = 6 x 30 => k 36

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