Number system -Aptitude Questions and Answers - Wikitechy https://www.wikitechy.com/interview-questions/tag/number-system-aptitude-questions-and-answers/ Interview Questions Mon, 20 Sep 2021 10:21:09 +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 Number system -Aptitude Questions and Answers - Wikitechy https://www.wikitechy.com/interview-questions/tag/number-system-aptitude-questions-and-answers/ 32 32 The average of 7 numbers is 60. The average of the first three numbers is 50, while the average of the last three is 70. What must be the remaining number ? https://www.wikitechy.com/interview-questions/numbers/the-average-of-7-numbers-is-60-the-average-of-the-first-three-numbers-is-50-while-the-average-of-the-last-three-is-70-what-must-be-the-remaining-number/ https://www.wikitechy.com/interview-questions/numbers/the-average-of-7-numbers-is-60-the-average-of-the-first-three-numbers-is-50-while-the-average-of-the-last-three-is-70-what-must-be-the-remaining-number/#respond Tue, 17 Aug 2021 19:38:00 +0000 https://www.wikitechy.com/interview-questions/?p=1901

The average of 7 numbers is 60. The average of the first three numbers is 50, while the average of the last three is 70. What must be the remaining number ?

A. 75

B. 60

C. 65

D. 55

Answer : B. 60

Explanation:

The sum of all the seven numbers = 60 * 7 = 420
The sum of the first three = 50 * 3 = 150
The sum of the last three = 70 * 3 = 210
Remaining Number = 420 – (210 + 150) = 60

]]> https://www.wikitechy.com/interview-questions/numbers/the-average-of-7-numbers-is-60-the-average-of-the-first-three-numbers-is-50-while-the-average-of-the-last-three-is-70-what-must-be-the-remaining-number/feed/ 0 Which of the following numbers is not divisible by 14 ? https://www.wikitechy.com/interview-questions/numbers/which-of-the-following-numbers-is-not-divisible-by-14/ https://www.wikitechy.com/interview-questions/numbers/which-of-the-following-numbers-is-not-divisible-by-14/#respond Tue, 17 Aug 2021 19:36:34 +0000 https://www.wikitechy.com/interview-questions/?p=1900

Which of the following numbers is not divisible by 14 ?

A. 3542

B. 2086

C. 1998

D. 2996

Answer : C. 1998

Explanation:

3542 / 14 = 253
2086 / 14 = 149
1998 / 14 = 142.714
2996 / 14 = 214
Option C is not divisible by 14

]]> https://www.wikitechy.com/interview-questions/numbers/which-of-the-following-numbers-is-not-divisible-by-14/feed/ 0 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.

]]> 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/feed/ 0 Find the greatest number that will divide 148 246 and 623 leaving remainders 4 6 and 11 respectively ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-greatest-number-that-will-divide-148-246-and-623-leaving-remainders-4-6-and-11-respectively/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-greatest-number-that-will-divide-148-246-and-623-leaving-remainders-4-6-and-11-respectively/#respond Tue, 17 Aug 2021 17:29:52 +0000 https://www.wikitechy.com/interview-questions/?p=1836

Find the greatest number that will divide 148 246 and 623 leaving remainders 4 6 and 11 respectively ?

A. 20

B. 12

C. 6

D. 48

Answer : B. 12…

Explanation:

Remainder in case of 148 = 4
Number = 148 – 4 = 144
Remainder in case of 246 = 6
Number = 246 – 6 = 240
Remainder in case of 623 = 11
Number = 623 – 11 = 612
Now, we have find the H.C.F. of 144, 240 and 612

H.C.F. of 144, 240 and 612 = 2 * 2 * 3 = 12

Therefore, the required number is 12 that will divide 148, 246 and 623 leaving remainders 4, 6 and 11 respectively.

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