Page 79 - Math Genius C5

E:\Working\Orange_Education\Math_Genius_5\Open_Files\CHAP_03
\\October 8, 2025 12:13 PM Bharat Arora P-9 Reader _________________________ Date: ___________________74

7. For an evening walk, three women start walking from the same spot. Their steps
measure 75 cm, 60 cm and 105 cm, respectively. What is the minimum distance each

should cover so that each woman covers the distance in complete steps?

CoMPeteNCy-BASed QUeStIoN

8. Venkatesh wants to mail three parcels to three village schools. He finds that he needs
stamps worth `30, `48 and `84, respectively. If he wants to buy stamps only of one

denomination, what is the greatest denomination of stamps he must buy to mail the
three parcels? CoMPeteNCy-BASed QUeStIoN

9. The traffic lights at three different road crossings change after every 1 minute, 1 minute
20 seconds and 2 minutes, respectively. If they change simultaneously at 12 noon, at
what time will they change simultaneously again? CoMPeteNCy-BASed QUeStIoN

10. In a school, 48 girls and 32 boys are selected to participate in the Annual Day function.

They have to participate in teams and each team must have the same number of
girls and the same number of boys. What is the greatest number of teams that can
participate in the function? How many girls and boys will be in each team?

11. The HCF and LCM of two numbers are 44 and 264, respectively. The first number
when divided by 2 gives 44 as the quotient. Find the second number.

12. Verify the property ‘Product of two numbers = Product of their LCM and HCF’ for
the given numbers.

( a) 37 and 29 (b) 70 and 168

Critical Thinking
Challenge Question

1. I am a 3-digit number. The sum of my digits is 5 and I am prime. If my ones and
hundreds digits are interchanged, I still remain prime. Who am I?
2. There are 360 erasers and 456 sharpeners. These articles need to be arranged in

piles such that each pile contains the same number of articles. Find the greatest
number of articles that can be in each pile. Also, find the number of piles formed.

Mathematics-5 77