Question 69

The product of two 2-digit numbers is 2160 and their H.C.F. is 12. The numbers are

Let the two numbers be $$12x$$ and $$12y$$ respectively where $$x$$ and $$y$$ are co-primes

Product of numbers = $$(12x) \times (12y)=2160$$

=> $$xy=\frac{2160}{144}=15$$

Possible pairs of $$x$$ and $$y$$ whose H.C.F. is 1 = $$(3,5)$$

$$\therefore$$ Required numbers = $$(12 \times 3),(12 \times 5)$$

= 36 , 60

=> Ans - (C)

Need AI Help?

Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.