Join WhatsApp Icon JEE WhatsApp Group
Question 5

Where A, B, C, D, E are distinct digits satisfying this addition fact, then E is

image

Solution

Share

The addition reads $$ABC+CBA=DEDD$$, which simplifies to $$101(A+C)+20B=1011D+100E$$. Since the sum is at most 1998, $$D=1$$, and analyzing the equation modulo 20 shows $$A+C$$ must equal 11 for an integer solution, which forces $$E=2$$ (with $$B=5$$ and, for example, $$A=3$$, $$C=8$$).

Get AI Help

Other Cracku’s Useful Resources:

JEE Questions JEE Question Bank JEE Mains Previous Papers JEE Advanced Previous Papers JEE Study Material PDF JEE Mains Mock Test JEE Advanced Mock Test JEE Daily Target

Free JEE Questions

JEE Physics Questions JEE Maths Questions JEE Chemistry Questions
banner

50,000+ JEE Students Trusted Our Score Calculator

Predict your JEE Main percentile, rank & performance in seconds

Check Your Score Now
Ask AI