model 3 find hcf 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 : 21 [SSC CAPFs SI, 2014]
Three tankers contain 403 litres, 434 litres, 465 litres of diesel respectively. Then the maximum capacity of a container that can measure the diesel of the three containers exact number of times is
a) 84 litres
b) 62 litres
c) 31 litres
d) 41 litres
Answer »Answer: (c)
Greatest capacity of measuring vessel
= HCF of 403 litres, 434 litres and 465 litres
= 31 litres
Illustration :
HCF of 403 and 434
Question : 22
A milkman has 75 litres milk in one can and 45 litres in another. The maximum capacity of container which can measure milk of either container exact number of times is :
a) 25 litres
b) 5 litres
c) 1 litre
d) 15 litres
Answer »Answer: (d)
Required maximum capacity of container
= HCF of 75 l and 45 l
Now, 75 = 5 × 5 × 3
45 = 5 × 3 × 3
∴ HCF = 15 litres
Question : 23 [SSC FCI 2012]
What is the greatest number which will divide 110 and 128 leaving a remainder 2 in each case ?
a) 38
b) 18
c) 8
d) 28
Answer »Answer: (b)
Using Rule 7,
(The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r).)
Required number
= HCF of (110 – 2) and (128 – 2)
= HCF of 108 and 126 = 18
Question : 24 [SSC CHSL 2014]
The greatest number that will divide 729 and 901 leaving remainders 9 and 5 respectively, is
a) 20
b) 16
c) 15
d) 19
Answer »Answer: (b)
Using Rule 7,
Required number
= HCF of (729 – 9)
= 720 and (901 – 5)
= 896
H.C.F = 16
Question : 25
The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is :
a) 1911
b) 910
c) 91
d) 1001
Answer »Answer: (c)
Maximum number of students
= The greatest common divisor
= HCF of 1001 and 910 = 91
IMPORTANT quantitative aptitude EXERCISES
model 3 find hcf of numbers Shortcuts »
Click to Read...model 3 find hcf 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 »