Numbers - Aptitude Questions and Answers - Wikitechy https://www.wikitechy.com/interview-questions/tag/numbers-aptitude-questions-and-answers/ Interview Questions Mon, 13 Sep 2021 09:34:03 +0000 en-US hourly 1 https://wordpress.org/?v=6.9.4 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png Numbers - Aptitude Questions and Answers - Wikitechy https://www.wikitechy.com/interview-questions/tag/numbers-aptitude-questions-and-answers/ 32 32 For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds: X $ X = 0 for all X , X $ (Y $ Z) = X $ Y + Z Find the Value of 2012 $ 0 + 2012 $ 1912 ? https://www.wikitechy.com/interview-questions/numbers/for-any-two-numbers-we-define-an-operation-yielding-another-number-x-y-such-that-following-condition-holds-x-x-0-for-all-x-x-y-z-x-y-z-find-the-value-of-2012-0-2012-1912/ https://www.wikitechy.com/interview-questions/numbers/for-any-two-numbers-we-define-an-operation-yielding-another-number-x-y-such-that-following-condition-holds-x-x-0-for-all-x-x-y-z-x-y-z-find-the-value-of-2012-0-2012-1912/#respond Tue, 17 Aug 2021 18:54:54 +0000 https://www.wikitechy.com/interview-questions/?p=1879

For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds: ” X $ X = 0 for all X ” X $ (Y $ Z) = X $ Y + Z Find the Value of 2012 $ 0 + 2012 $ 1912 ?

A. 2112

B. 100

C. 5936

D. Cannot be determined

Answer : A. 2112

Explanation:

Here $ represent the – operator so X – X = 0
First condition x $ (y $ z) = x – (y – z) = x – y + z.
It can be written as x $ y + z
2012 – 0 + 2012 – 1912 = 2112

]]> https://www.wikitechy.com/interview-questions/numbers/for-any-two-numbers-we-define-an-operation-yielding-another-number-x-y-such-that-following-condition-holds-x-x-0-for-all-x-x-y-z-x-y-z-find-the-value-of-2012-0-2012-1912/feed/ 0 What is the remainder when (1234567890123456789)24 is divided by 6561 ? https://www.wikitechy.com/interview-questions/numbers/what-is-the-remainder-when-123456789012345678924-is-divided-by-6561/ https://www.wikitechy.com/interview-questions/numbers/what-is-the-remainder-when-123456789012345678924-is-divided-by-6561/#respond Tue, 17 Aug 2021 18:48:40 +0000 https://www.wikitechy.com/interview-questions/?p=1876

What is the remainder when (1234567890123456789)24 is divided by 6561 ?

A. 7

B. 5

C. 3

D. 0

Answer : D. 0

Explanation:

The digital sum of number is (1+2+3+4+5+6+7+8+9+0+1+2+3+4+5+6+7+8+9) = 90 = (9+0) = 9 So it is divisible by 3 or 9
The given divisor 6561 = 94
So 924/94 Reminder is 0.

]]> https://www.wikitechy.com/interview-questions/numbers/what-is-the-remainder-when-123456789012345678924-is-divided-by-6561/feed/ 0 A number is divided by 5, 3, 2 successively in order to get remainders of 0, 2, 1 respectively. What will be the remainder when the same number is divided by 2, 3, 5 respectively ? https://www.wikitechy.com/interview-questions/numbers/a-number-is-divided-by-5-3-2-successively-in-order-to-get-remainders-of-0-2-1-respectively-what-will-be-the-remainder-when-the-same-number-is-divided-by-2-3-5-respectively/ https://www.wikitechy.com/interview-questions/numbers/a-number-is-divided-by-5-3-2-successively-in-order-to-get-remainders-of-0-2-1-respectively-what-will-be-the-remainder-when-the-same-number-is-divided-by-2-3-5-respectively/#respond Tue, 17 Aug 2021 18:44:57 +0000 https://www.wikitechy.com/interview-questions/?p=1874

A number is divided by 5, 3, 2 successively in order to get remainders of 0, 2, 1 respectively. What will be the remainder when the same number is divided by 2, 3, 5 respectively ?

A. 4, 3, 2

B. 1, 0, 4

C. 2, 1, 3

D. 4, 1, 2

Answer : B. 1, 0, 4…

Explanation:

Let the number = N.
Now N = 5K
K = 3L + 2
L = 2M + 1
K = 3 (2M + 1) + 2
= 6M + 5
N = 5 (6M + 5)
= 30 M + 25.

For M = 0 we get the least number as 25. Now when 25 is divided by 2, we get 12 as quotient and 1 as remainder.
When 12 is divided by 3 we get 4 as quotient, and 0 as remainder. When 4 is divided by 5 we get 4 as remainder.

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