Find the greatest number that will divide 427 and 900 leaving the remainders 3 and 8 respectively

Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in LCM & HCF, which is common for all the IBPS, SBI exam and other competitive exams. We have included questions that are repeatedly asked in bank exams !!!

Questions Penned by Yogit

  1. Find the least number which when divided by 2, 3, 4 and 5 leaves a remainder 3. But when divided by 9 leaves no remainder?
    a) 33
    b) 63
    c) 81
    d) 123
    e) None of these

    Answer – b) 63
    Explanation :
    LCM of 2, 3, 4 and 5 is 30, let number be 30k + 3
    put k = 2, we get 63 which is divisible by 9


  2. Find the 4-digit smallest number which when divided by 12, 15, 25, 30 leaves no remainder?
    a) 1020
    b) 1120
    c) 1200
    d) 1800
    e) None of these

    Answer – c) 1200
    Explanation :
    LCM of 12, 15, 25 and 30 is 300
    least number of 4-digit divided by 300 is 1200


  3. Find the least number which when divided by 12, 27 and 35 leaves 6 as a remainder?
    a) 3774
    b) 3780
    c) 3786
    d) 4786
    e) None of these

    Answer – c) 3786
    Explanation :
    Number = LCM (12, 17, 35) + 6 = 3780 + 6 = 3786


  4. The HCF and LCM of two numbers is 84 and 840 respectively. If the first number is 168, find the second one
    a) 420
    b) 360
    c) 210
    d) 480
    e) None of these

    Answer – a) 420
    Explanation :
    LCM*HCF = a*b
    840*84 = 168*b, b = 420


  5. Find the last number which when divided by 6, 8, 15 and 30 leaves remainder 2, 4, 11 and 26 respectively?
    a) 124
    b) 116
    b) 120
    d) 134
    e) None of these

    Answer – b) 116Explanation :
    LCM (6, 8, 15, 30) – 4 = 120 – 4 = 116


  6. HCF and LCM of two numbers is 5 and 275 respectively and the sum of these two numbers is 80. Find the sum of the reciprocals of these numbers
    a) 16/125
    b) 32/275
    c) 32/125
    d) 16/275
    e) None of these

    Answer – d) 16/275
    Explanation :
    a*b = 5*275 and a+b = 80
    (a+b)/(a*b) = 80/(5*275) = 16/275


  7. Three buckets contains balloons filled with water.  First bucket contains 243 balloons. Second contains 304 balloons and last bucket contains 127 balloons. Find the largest number of balloons that can be given equally to the children such that 3, 4 and 7 balloons are left in first, second and third bucket respectively?
    a) 20
    b) 30
    c) 40
    d) 60
    e) None of these

    Answer – d) 60
    Explanation :
    HCF (240, 300, 120) = 60


  8. Riya, Anil and Rishi start running around a circular stadium and complete one round in 15s, 12s and 21s respectively. In how much time will they meet again at the starting point?
    a) 6min
    b) 7min
    d) 8min
    d) 9min
    e) None of these

    Answer – b) 7min
    Explanation :
    LCM (15, 12, 21) = 420 second = 7 minutes


  9. In a college all the students are made to stand in four rows. 4 rows contains 12, 8, 22, 30 students respectively. Find the least number of students in the college?
    a) 3360
    b) 3630
    c) 3960
    d) 3990
    e) None of these

    Answer – c) 3960
    Explanation :
    LCM (12, 8, 22, 30) = 3960


  10. Find the greatest number that will divide 427 and 900 leaving the remainders 3 and 8  respectively?
    a) 2
    b) 4
    c) 8
    d) 12
    e) None of these

    Answer – b) 4
    Explanation :
    HCF (427 – 3, 900 – 8) (424, 892) = 4


Note: Dear Readers if you have any doubt in any chapter in Quants you can ask here. We will clear your doubts

AffairsCloud Recommends Oliveboard Mock Test


AffairsCloud Ebook - Support Us to Grow




Know about nthexam

Vision

Simplifying a complex education system by empowering students and educators to deliver a simplified and personalized learning experience and make learning accessible to masses in the most cost effective manner. We aim to provide personalised learning experience to all school, college, vocational, preparatory and professionals by curating the content by educators and experienced candidates.

About

Nthexam’s main focus is on enhancing the quality of education through highly machine learning algorithms, design an intelligent platform and products beyond analytics that allows both students and educators to interact, engage and deliver best results together along with piracy elimination.

Nthexam is a highly advanced ed tech company and creator of India’s first personalised memory based learning app.

Started in 2017, Nthexam offers highly personalised and effective learning programs for aspirants of competitive exams like JEE, NEET, GATE, BANK etc. Nthexam has become one of the most preferred Personalized learning education platforms across the India.

Nthexam Personalised Learning

We try to solve the exuberating education's biggest problem that is  “One size fits all” for delivery of education be it online or offline.  Students don’t get focused personalization and waste 50% of time on what and how to learn and the Institute lacks focus and spend 60% of time in micro-management.

Personalisation is a complex feature to be provided in education, it differs with different age groups, different scenarios and different learning conditions. Each student has different memory and learning never ceases, at different points of time we keep on learning something new and connect things to what we have learned in the past. 

Unlike other analytics providing ed tech, we focus on weighted analytics and the product beyond analytics which is generated as the by-product of personalisation. We provide unlimited practice sets that are generated with your relative, absolute performance, memory and time analysis, speed and micro level learning for each concept and difficulty. Cross topic learning and dependency and consistency of the performance.

What is the greatest number that will divide 728 and 900 leaving the remainder 8 and 4 respectively?

∴ The greatest number which when divided by 728 and 900 leaves the remainder 8 and 4 respectively is 16.

What is the greatest number that divides 307 and 330?

So, the required greatest number is 19.

What is the greatest number which will divide 110 and 128 leaving remainder 2 in each case?

So, the greatest number is 18.

What is the greatest number that divides?

H.C.F.: H.C.F. is the 'Highest Common Factor'. It means the greatest number which can divide the given numbers. It is also known as G.C.D.