Back to chapter
Practice Test · Class 10

Real Numbers

10 questions randomised from the chapter. Type each final answer and submit to see your score.

00:01
0/10 attempted
01
Two numbers have HCF 99 and LCM 20162016. If one is 5454, find the other.
02
Decide (without long division) whether 178\dfrac{17}{8} terminates.
03
Prove that 3+253 + 2\sqrt{5} is irrational.
04
Find HCF of 180180 and 252252 using Euclid's algorithm.
05
Prove that 7\sqrt{7} is irrational.
06
Show that any positive odd integer is of the form 4q+14q+1 or 4q+34q+3.
07
Explain why 71113+137\cdot 11\cdot 13 + 13 is composite.
08
Find LCM of 306306 and 657657 if HCF is 99.
09
Find the HCF and LCM of 12,1512, 15 and 2121.
10
Can the number 6n6^n end with the digit 00?
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026