LCM and HCF Questions: Solved 50 LCM and HCF Questions and answers section with explanation for various online exam preparation, various interviews, Logical Reasoning Category online test. Category Questions section with detailed description, explanation will help you to master the topic.
LCM and HCF Questions
1. Find the least number which when divided by 12, 27 and 35 leaves 6 as a remainder?
Find the least number which when divided by 12, 27 and 35 leaves 6 as a remainder:
4. Four Iron metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?
Since each iron rod must be cut into parts of equal length and each part must be as long as possible, so HCF should be taken. HCF of 78, 104, 117, 169 = 13 Number of pieces from 78 cm rod = 78/13 = 6 Number of pieces from 104 cm rod = 104/13 = 8 Number of pieces from 117 cm rod = 117/13 = 9 Number of pieces from 78 cm rod = 169/13 = 13 Total number of pieces = 6 + 8 + 9 + 13 = 36.
6. The product of LCM and HCF of two numbers is 48. The difference of two numbers is 8. Find the numbers?
Correct Ans:4, 12
Let the numbers be 'a' and 'b'. WKT, Product of two numbers = LCM Ã— HCF Product of two numbers = 48 ab = 48 Difference of two numbers = 8 a - b = 8 Factors of ab are (1,48) , (2,24), (3,16),(4,12),(6,8). Here, the only pair which satisfies the given condition is (4, 12).
7. Four different electronic devices make a beep after every 30 minutes, 1 hour, 1 hour 30 minutes and 1 hour 45 minutes respectively. All the device beeped together at 12 noon. They will again beep together at
Correct Ans:9:00 AM
Interval after the devices will beep together = (L.C.M. of 30, 60, 90, 105) min = 1260 min = 1260/60 = 21 hrs So, the devices will again beep together after 21 hrs i.e., at 9 AM(after 12 noon).
9. On dividing a number by 4, the remainder is 2. The quotient so obtained when divided by 5, leaves the remainder 3. Now the quotient so obtained when divided by 6, leaves the remainder 5. The last quotient is 7. The number was
WKT, Divisor x Quotient + Remainder = Number 6 x 7 + 5 = 47 5 x 47 + 3 = 238 4 x 238 + 2 = 954 Therefore, required number is 954.
15. The sum of two number is 528 and their HCF is 33. How many pairs of such numbers can be?
Here, the HCF = 33 Then, let the two numbers be 33a and 33b, Respectively, where a and b are coprime. Then, 33a + 33b = 528 a + b = 16 Hence, values of (a, b) which are coprime to each other can be (1, 15), (3, 13), (5, 11) and (7, 9). Hence, required number of pairs is 4.
Are you seeking for good platform for practicing LCM and HCF questions in online. This is the right place. The time you spent in Fresherslive will be the most beneficial one for you.
Online Test on LCM and HCF @ Fresherslive
This page provides important questions on LCM and HCF along with correct answers and clear explanation, which will be very useful for various Interviews, Competitive examinations and Entrance tests. Here, Most of the LCM and HCF questions are framed with Latest concepts, so that you may get updated through these LCM and HCF Online tests. LCM and HCF Online Test questions are granted from basic level to complex level.
Why To Practice LCM and HCF Test questions Online @ Fresherslive?
LCM and HCF questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.
Practice in advance of similar questions on LCM and HCF may improve your performance in the real Exams and Interview.
Time Management for answering the LCM and HCF questions quickly is foremost important for success in Competitive Exams and Placement Interviews.
Through Fresherslive LCM and HCF questions and answers, you can acquire all the essential idea to solve any difficult questions on LCM and HCF in short time and also in short cut method.
Winners are those who can use the simplest method for solving a question. So that they have enough time for solving all the questions in examination, correctly without any tense. Fresherslive provides most simplest methods to answer any tough questions. Practise through Fresherslive test series to ensure success in all competitive exams, entrance exams and placement tests.
Why Fresherslive For LCM and HCF Online Test Preparation?
Most of the job seekers finding it hard to clear LCM and HCF test or get stuck on any particular question, our LCM and HCF test sections will help you to success in Exams as well as Interviews. To acquire clear understanding of LCM and HCF, exercise these advanced LCM and HCF questions with answers.
You're Welcome to use the Fresherslive Online Test at any time you want. Start your beginning, of anything you want by using our sample LCM and HCF Online Test and create yourself a successful one. Fresherslive provides you a new opportunity to improve yourself. Take it and make use of it to the fullest. GOODLUCK for Your Bright Future.
FreshersLive - No.1 Job site in India. Here you can find latest 2021 government as well as private job recruitment notifications for different posts vacancies in India. Get top company jobs for both fresher and experienced. Job Seekers can get useful interview tips, resume services & interview Question and answer. Practice online test free which is helpful for interview preparation. Register with us to get latest employment news/rojgar samachar notifications. Also get latest free govt and other sarkari naukri job alerts daily through E-mail.