quantitative aptitude - Wikitechy https://www.wikitechy.com/interview-questions/tag/quantitative-aptitude/ 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 quantitative aptitude - Wikitechy https://www.wikitechy.com/interview-questions/tag/quantitative-aptitude/ 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 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 If the perimeter and the diagonal of a rectangle is 18 cm and √41 cm respectively.Calculate the area of the rectangular field ? https://www.wikitechy.com/interview-questions/geometry/if-the-perimeter-and-the-diagonal-of-a-rectangle-is-18-cm-and-%e2%88%9a41-cm-respectively-calculate-the-area-of-the-rectangular-field/ https://www.wikitechy.com/interview-questions/geometry/if-the-perimeter-and-the-diagonal-of-a-rectangle-is-18-cm-and-%e2%88%9a41-cm-respectively-calculate-the-area-of-the-rectangular-field/#respond Tue, 17 Aug 2021 16:04:28 +0000 https://www.wikitechy.com/interview-questions/?p=1813

If the perimeter and the diagonal of a rectangle is 18 cm and √41 cm respectively. Calculate the area of the rectangular field ?

A. 25 cm2

B. 29 cm2

C. 18 cm2

D. 20 cm2

Answer : D. 20 cm2

Explanation:

Perimeter of rectangle = 18 cm
2 ( l + b ) = 18 cm
l + b = 18 / 2
= 9 cm
l + b = 9 cm

Diagonal of rectangle = √41 cm
We know that, Diagonal of rectangle = √ [ ( length )2 + ( breadth )2 ] √( l2 + b2) = √41
l2 + b2 = ( √41 )2
l2 + b2 = 41
l2 + b2 + 2 lb – 2 lb = 41
( l + b )2 – 2 lb = 41

Since , we have l + b = 9 , so now
( 9 )2 – 2 l b = 41
81 – 2 lb = 41
2 lb = 81 – 41
2 lb = 40
lb = 40 / 2 = 20 cm 2
l × b = 20 cm2
Therefore, area of rectangular field = 20 cm2

]]> https://www.wikitechy.com/interview-questions/geometry/if-the-perimeter-and-the-diagonal-of-a-rectangle-is-18-cm-and-%e2%88%9a41-cm-respectively-calculate-the-area-of-the-rectangular-field/feed/ 0 A long thin strip of width 7cm is kept on a flat surface. Another identical strip is kept on it in an overlapping manner such that the combined width of the two is 11 cm. What is the width of 55 such strips kept like this ? https://www.wikitechy.com/interview-questions/puzzles/a-long-thin-strip-of-width-7cm-is-kept-on-a-flat-surface-another-identical-strip-is-kept-on-it-in-an-overlapping-manner-such-that-the-combined-width-of-the-two-is-11-cm-what-is-the-width-of-55-such/ https://www.wikitechy.com/interview-questions/puzzles/a-long-thin-strip-of-width-7cm-is-kept-on-a-flat-surface-another-identical-strip-is-kept-on-it-in-an-overlapping-manner-such-that-the-combined-width-of-the-two-is-11-cm-what-is-the-width-of-55-such/#respond Fri, 06 Aug 2021 08:28:40 +0000 https://www.wikitechy.com/interview-questions/?p=1617

A long thin strip of width 7cm is kept on a flat surface. Another identical strip is kept on it in an overlapping manner such that the combined width of the two is 11 cm. What is the width of 55 such strips kept like this ?

11cm is combined width for 2 strips ,

11-7= 4cm is extra width for each overlapped strip.
Hence 4*53 = 212 (Remaining 53 strips)
212 + 11 = 223 (Previous 2 strips)

]]> https://www.wikitechy.com/interview-questions/puzzles/a-long-thin-strip-of-width-7cm-is-kept-on-a-flat-surface-another-identical-strip-is-kept-on-it-in-an-overlapping-manner-such-that-the-combined-width-of-the-two-is-11-cm-what-is-the-width-of-55-such/feed/ 0