Worksheet on Word Problems on H.C.F. and L.C.M.
This topic would provide a worksheet to the learners on H.C.F and L.C.M which will contain various types of sums and hence will serve as a scope for thorough practice of the students.
1. A milkman has two kinds of
milk with him. One of 160 litres and another of 140 litres. Now he wants to
sell both the kinds of milk of equal volume by filling in his tins. Find the
greatest number of such tins he is able to sell.
Answer:
20 liters in each tin
2. Four bells started tolling together and they toll after intervals of 16 seconds, 14 seconds, 18 seconds and 20 seconds respectively. They last tolled together at 7: 15 am. Find the earliest time when they will again toll together.
Answer:
5040 seconds = 84 minutes
They will toll together again at 8:39 am
3. Find the least number of
students in a class such that they make rows of 15, 20 and 25 and form a
perfect square.
Answer:
900 students
4. An alarm at Alex’s room beep after every 6 hours and an alarm at John’s room beep after every 8 hours. They last beeped together at 8: 30 pm. When they will again beep together at the earliest and at what time?
Answer:
24 hour
They will together at again 8:30 am next day
5. Find the highest number of students among whom 1001 bags and 910 shirts could be distributed in such a way that each student get the same number of shirts and same number of bags.
Answer:
The highest number of students = 910
6. There are three measuring rods which measure 64 cm, 0 cm and 96 cm in length. Now find the least length that could be measured which those rods an exact number of times.
Answer:
The least length = 960 cm or 9.6 m
7. Alice is arranged some snacks for her child’s birthday party. After the guest left she has some food left over. She has 14 pieces of pastries and 16 pieces of cookies and 12 chocolate bars left. Now she wants to make the maximum number of packets with those foods so that no food is left for distributing to the beggars at the roadside. Find the greatest number of packets that she can be making.
Answer:
2 packets
8. In the school sports ground after every 2 days the karate team meets. And after 5 days the yoga team meets. Both the karate and yoga group met in the sports ground today. Then determine the day when they will again meet?
Answer:
After 10 days
9. Find the least number that is divisible by all the natural numbers from 1 to 10 (including 1 and 10).
Answer:
2520
10. Find the least number which when divided by 28 and 32 leaves behind remainder 8 and 12 respectively in each case.
Answer:
204
You might like these
Worksheet on Divisibility Rules | Questions on Test of Divisibility
This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10. 1. Check whether the following numbers are divisible by 2 or 3 or both? (i) 2562 (ii) 5693 (iii) 2201 (iv) 7480 (v) 5296 (vi) 4062 (vii) 4568 (viii) 1425 (ix) 1110
Problems on Divisibility Rules | Rules to Test of Divisibility | Test
Here are few problems on the divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, and 10 which will help the learners in revising their concepts on the divisibility rules. 1. Check whether 3456 is divisible by 2? Solution: The last digit is an even number (i.e. 6) hence 3456 is
Divisible by 10|Test of Divisibility by 10|Rules of Divisibility by 10
The divisibility rule of 10 states that If the last digit of a number is 0 then the given number is divisible by 10. For eg: Check whether 5400 is divisible by 10 or not? Solution: As the last digit of the number is 0 hence, 5400 is divisible by 10
Divisible by 9 | Test of Divisibility by 9 |Rules of Divisibility by 9
This rule states that a number is divisible by 9 if the sum of its digits of the number is divisible by 9 For eg: Check whether 729 is divisible by 9 or not? Sum of the digits = 7 + 2 + 9 = 18 Now 18 is divisible by 9 hence, 729 is also divisible by 9 Here are few examples
Divisible by 8 | Test of Divisibility by 8 |Rules of Divisibility by 8
The most common method to check whether a number is divisible by 8 is to divide and see if the quotient is a whole number or not? If the quotient is a whole number then the given number is divisible by 8. But there is an easier way to check by using the divisibility rule.
Divisible by 7 | Test of Divisibility by 7 |Rules of Divisibility by 7
This rule states that if the difference between twice the digit at units place and the number formed from the remaining digits of the given number is divisible by 7 then the whole number is divisible by 7.
Divisible by 6 | Test of divisibility by 6 |Rules of Divisibility by 6
This topic on divisible by 6 will discuss about the divisibility rule of 6 and few example on the same. Divisibility rule of 6: A number is divisible by 6 if the prime factor of that is 2 & 3 is divisible by 6. For Example: 216 216 is divisible by 2 as the last digit 6 is
Divisible by 5 | Test of divisibility by 5 |Rules of Divisibility by 5
This topic on divisible by 5 will discuss on the divisibility rule of 5 and illustrate few example on the same. Divisibility Rule of 5: If a number ends with 0 or 5 then the number is divisible by 5. For Example: 550 Since the number ends with 0 hence the number is divisible
Divisible by 4 | Rules of Divisibility by 4|Divisibility Rules & Tests
This topic i on divisibility rule of 4 and will provide examples on the same. Divisibility Rule of 4: If the last two digits of the number is divisible by 4 then the whole number is divisible by 4 For eg: 524 The last two digit of the number is 24 which is divisible by 4.
From Worksheet on Word Problems on HCF and LCM to HOME PAGE
Recent Articles
-
Amphibolic Pathway | Definition | Examples | Pentose Phosphate Pathway
Jun 06, 24 10:40 AM
Definition of amphibolic pathway- Amphibolic pathway is a biochemical pathway where anabolism and catabolism are both combined together. Examples of amphibolic pathway- there are different biochemical… -
Respiratory Balance Sheet | TCA Cycle | ATP Consumption Process
Feb 18, 24 01:56 PM
The major component that produced during the photosynthesis is Glucose which is further metabolised by the different metabolic pathways like glycolysis, Krebs cycle, TCA cycle and produces energy whic… -
Electron Transport System and Oxidative Phosphorylation | ETC |Diagram
Feb 04, 24 01:57 PM
It is also called ETC. Electron transfer means the process where one electron relocates from one atom to the other atom. Definition of electron transport chain - The biological process where a chains… -
Tricarboxylic Acid Cycle | Krebs Cycle | Steps | End Products |Diagram
Jan 28, 24 12:39 PM
This is a type of process which execute in a cyclical form and final common pathway for oxidation of Carbohydrates fat protein through which acetyl coenzyme a or acetyl CoA is completely oxidised to c… -
Aerobic Respiration | Definition of Aerobic Respiration | Glycolysis
Dec 15, 23 08:42 AM
This is a type of respiration where molecular free oxygen is used as the final acceptor and it is observed in cell. Site of Aerobic Respiration - Aerobic respiration is observed in most of the eukaryo…
New! Comments
Have your say about what you just read! Leave me a comment in the box below.