model 2 find lcm of numbers Practice Questions Answers Test with Solutions & More Shortcuts
LCM & HCF PRACTICE TEST [5 - EXERCISES]
model 1 Basic formula of LCM & HCF
model 2 find lcm of numbers
model 3 find hcf of numbers
model 4 addition, subtraction, multiplication and division with lcm & hcf
model 5 lcm & hcf vs ratios
Question : 31
What is the least number which when divided by the numbers 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 13 leaves no remainder ?
a) 1586
b) 1562
c) 962
d) 312
Answer »Answer: (c)
LCM of 3, 5, 6, 8, 10 and 12 = 120
∴ Required number = 120x + 2, which is exactly divisible by 13.
120x + 2 = 13 × 9x + 3x + 2
Clearly 3x + 2 should be divisible by 13.
For x=8,3x + 2 is divisible by 13.
∴ Required number = 120x + 2 = 120 × 8 + 2
= 960 + 2 = 962
Question : 32 [SSC Investigator 2010]
The smallest perfect square divisible by each of 6, 12 and 18 is
a) 36
b) 108
c) 144
d) 196
Answer »Answer: (a)
The LCM of 6, 12 and 18 = 36 = $6^2$
Question : 33 [SSC CPO 2003]
The least perfect square, which is divisible by each of 21, 36 and 66 is
a) 231444
b) 213444
c) 214434
d) 214344
Answer »Answer: (b)
LCM of 21, 36 and 66
∴ LCM = 3 × 2 × 7 × 6 × 11
= 3 × 3 × 2 × 2 × 7 × 11
∴ Required number
= $3^2 × 2^2 × 7^2 × 11^2$
= 213444
Question : 34 [SSC CGLTier-II 2013]
The greatest 4-digit number exactly divisible by 10, 15, 20 is
a) 9995
b) 9980
c) 9960
d) 9990
Answer »Answer: (c)
Using Rule 8,
Greatest n digit number which when divided by three numbers P, Q, R leaves no remainder will be
Required Number = (n – digit greatest number) – R
R is the remainder obtained on dividing greatest n digit number by L.C.M of P, Q, R.
LCM of 10, 15 and 20 = 60
Largest 4-digit number = 9999
∴ 166$39/60$ = 9999
∴ Required number = 9999 – 39
= 9960
Question : 35 [SSC CPO 2007]
The number nearest to 43582 divisible by each of 25, 50 and 75 is :
a) 43550
b) 43600
c) 43650
d) 43500
Answer »Answer: (c)
LCM of 25, 50 and 75 = 150
On dividing 43582 by 150, remainder = 82
290$82/150$ = 43582
∴ Required number = 43582 + (150 – 82)
= 43650
IMPORTANT quantitative aptitude EXERCISES
model 2 find lcm of numbers Shortcuts »
Click to Read...model 2 find lcm of numbers Online Quiz
Click to Start..LCM & HCF Shortcuts and Techniques with Examples
-
model 1 Basic formula of LCM & HCF
Defination & Shortcuts … -
model 2 find lcm of numbers
Defination & Shortcuts … -
model 3 find hcf of numbers
Defination & Shortcuts … -
model 4 addition, subtraction, multiplication and division with lcm & hcf
Defination & Shortcuts … -
model 5 lcm & hcf vs ratios
Defination & Shortcuts …
quantitative aptitude CATEGORIES
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »
IBPS Profit and Loss Questions Solved Problems with PDF
Most important Profit and Loss multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Average Aptitude Questions Answers solutions MCQ PDF
New Average multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Quantitative Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »