Answer: 364
Solution:
we know that product of two numbers = product of LCM and HCF
so, 130*x=1820*26
=> x= 364
Answer: 2
Solution:
Here HCF=13, let the numbers be 13x and 13y where x and y are prime to each other.
now 13x*13y=2028
=>.xy=12
The possible pairs ae (1,12), (3,4),(2,6)
But 2 and 6 are co-primes. so, the required no. of pairs=2
Answer: 57
Solution:
Here 4-1=3, 5-2=3, 6-3=3
the required number=LCM(4,5,6)-3=60-3=57
Answer: 322
Solution:
let the numbers be 23x and 23y where x and y are co-prime
LCM=23xy=23*13*14
=> x=13,y=14
The larger number=23y=23*14=322
Answer: 600
Solution:
let HCF=H, => LCM=20H
then, H+20H=2520
=> H=120
LCM=20H=2400
first number * second number=HCF * LCM
480*second number=2400*120
=> second number=600
Answer: 100
Solution:
let the numbers be x and y
x+y=45 and x-y=1/9(x+y)
+>x-y=5
by solving equations we get x=25, yy=20
now LCM of 25,20 =100
we provide shortcuts and lot of tricks to solve Problems on H.C.F and L.C.M, so that these tricks are useful to simplify the Problems on H.C.F and L.C.M questions in less time
in todays competetive world companies conducts written exam to select right candidates, in those written exams thye most common section is Aptitude and Problems on H.C.F and L.C.M
Eqans provides you lots of fully solved Aptitude questions and answers with explanation. Fully solved examples with detailed answer description, explanation are given and it would be easy to understand. All students, freshers can download Aptitude quiz questions with answers as PDF files and eBooks.
You can easily solve all kind of questions based on Aptitude by practicing the exercises (including shortcut methods to solve problems) given below.
you can solve this questions by taking help from eqans experts team
First of all learn all the basics of Problems on H.C.F and L.C.M and test your skills on that field by taking different example and online mock exams, here we provide all kind of information with examples to prepare for Problems on H.C.F and L.C.M, by taking our online examples you can prepare for Problems on H.C.F and L.C.M test in 10 days easily
generally all the fields in Aptitude are important to learn, we cant expect question from a particular field, its better to learn from all the topics.
Answer: 48
Solution:
Let the numbers be 3x and 4x. Then their H.C.F = x. So, x=4
Therefore, The numbers are 12 and 16
L.C.M of 12 and 16 = 48