LCM & HCF Practice Set For MBA

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Tanmay Shankar
T
Tanmay Shankar
Community Contributor
Quizzes Created: 491 | Total Attempts: 1,852,349
| Attempts: 390
SettingsSettings
Please wait...
  • 1/5 Questions

    Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case

    • 4
    • 7
    • 9
    • 13
Please wait...
About This Quiz

This LCM & HCF Practice Set for MBA assesses skills in number theory, focusing on finding greatest common divisors and least common multiples. It includes problems on divisibility, tolling bells synchronization, and identifying specific large numbers divisible by sets of integers, tailored for MBA entrance examinations.

LCM & HCF Practice Set For MBA - Quiz

Quiz Preview

  • 2. 

    Find the HCF of 4 x 27 x 3125 , 8 X 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 .

    • 540

    • 1260

    • 180

    • 360

    Correct Answer
    A. 180
    Explanation
    To find the HCF (Highest Common Factor) of the given numbers, we need to find the highest common factor of their prime factors. The prime factorization of the three numbers are as follows: 4 x 27 x 3125 = 2^2 x 3^3 x 5^5, 8 x 9 x 25 x 7 = 2^3 x 3^2 x 5^2 x 7, and 16 x 81 x 5 x 11 x 49 = 2^4 x 3^4 x 5 x 11 x 7^2. Now, we can see that the highest common factor of these prime factors is 2^2 x 3^2 x 5 = 180. Therefore, the correct answer is 180.

    Rate this question:

  • 3. 

    The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

    • 9000

    • 9400

    • 9600

    • 9800

    Correct Answer
    A. 9600
    Explanation
    To find the greatest number of four digits that is divisible by 15, 25, 40, and 75, we need to find the least common multiple (LCM) of these numbers. The LCM of 15, 25, 40, and 75 is 600. To find the greatest number of four digits that is divisible by 600, we need to find the largest multiple of 600 that is less than 10000. The largest multiple of 600 less than 10000 is 9600. Therefore, the correct answer is 9600.

    Rate this question:

  • 4. 

    What is the greatest number of three digits which when divided by 6, 9 and 12 leaves a remainder of 3 in each case.

    • 975

    • 939

    • 996

    • 972

    Correct Answer
    A. 975
    Explanation
    The greatest number of three digits that leaves a remainder of 3 when divided by 6, 9, and 12 can be found by finding the least common multiple of these three numbers and subtracting 3. The least common multiple of 6, 9, and 12 is 36. Subtracting 3 from 36 gives us 33. However, 33 is a two-digit number, so we need to find the largest three-digit number that is divisible by 36. The largest three-digit number divisible by 36 is 972. However, this number does not leave a remainder of 3 when divided by 6, 9, and 12. Therefore, the correct answer is 975, which is the largest three-digit number that satisfies the given conditions.

    Rate this question:

  • 5. 

    Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

    • 4

    • 10

    • 15

    • 16

    Correct Answer
    A. 16
    Explanation
    The bells toll together at intervals of 2, 4, 6, 8, 10, and 12 seconds respectively. To find out how many times they toll together in 30 minutes, we need to calculate the least common multiple (LCM) of these intervals. The LCM of 2, 4, 6, 8, 10, and 12 is 120 seconds. Since there are 60 seconds in a minute, the bells toll together every 2 minutes. In 30 minutes, they toll together 30/2 = 15 times. However, since they also toll together at the start, the total number of times they toll together in 30 minutes is 15 + 1 = 16.

    Rate this question:

Quiz Review Timeline (Updated): Dec 27, 2024 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Dec 27, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Jul 03, 2014
    Quiz Created by
    Tanmay Shankar
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.