model 3 find hcf of numbers Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 5 EXERCISES
The following question based on LCM & HCF topic of quantitative aptitude
(a) 38
(b) 18
(c) 8
(d) 28
The correct answers to the above question in:
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
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Read more find hcf using formula Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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
Question : 3
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 : 4
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 : 5
What is the greatest number that will divide 307 and 330 leaving remainders 3 and 7 respectively ?
a) 23
b) 16
c) 19
d) 17
Answer »Answer: (c)
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).)
The number will be HCF of
307 – 3 = 304 and 330 – 7 = 323.
∴ Required number = 19
LCM & HCF Shortcuts and Techniques with Examples
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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 …
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