HomeTestsSearchRankProfile
mediumMCQCompetitive Exam2026Quantitative Aptitude
1 mark

If x+y=14 and x
2
+y
2
=100, then find xy.

  1. A
    48
  2. B
    45
  3. C
    40
  4. D
    33

Solution & Step-by-step Explanation

We know the algebraic identity:
(x+y)
2
=x
2
+y
2
+2xy
Substitute the given values into the equation:

(14)
2
=100+2xy
196=100+2xy
2xy=196−100
2xy=96
xy=
2
96
​
=48

Practice this question

Try it yourself before checking the explanation above.

If x+y=14 and x
2
+y
2
=100, then find xy.
A
48
B
45
C
40
D
33

Share This Question

Algebraic IdentitiesAlgebra

Related Questions

easyMCQ

Which one of the following statements is true?

easyMCQ

Which of the following statements is not correct?

easyMCQ

Which one of the following statements is correct?

easyMCQ

The product formed by the reaction of an aldehyde with a primary amine is:

easyMCQ

Which part of the tobacco plant is infected by Meloidogyne incognita?

easyMCQ

The term ecosystem was coined by:

Ready for a Full Test?

Practice with timed mock tests and track your performance across Quantitative Aptitude.

Browse TestsLeaderboard

Discussion