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 : 6 [SSC Constable 2012]
A milk vendor has 21 litres of cow milk, 42 litres of toned milk and 63 litres of double toned milk. If he wants to pack them in cans so that each can contains same litres of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required is
a) 12
b) 6
c) 3
d) 9
Answer »Answer: (b)
Maximum quantity in each can
= HCF of 21, 42 and 63 litres
= 21 litres
Required least number of cans
= $21/21 + 42/ 21 + 63/21$
= 1 + 2 + 3 = 6
Question : 7
In a school, 391 boys and 323 girls have been divided into the largest possible equal classes, so that each class of boys numbers the same as each class of girls. What is the number of classes ?
a) 17
b) 19
c) 23
d) 44
Answer »Answer: (a)
First of all we find HCF of 391 and 323.
∴ Number of classes = 17
Question : 8 [SSC SO 2006]
The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is
a) 305
b) 133
c) 127
d) 235
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).)
We have to find HCF of
(1657 – 6 = 1651) and (2037 – 5 = 2032)
1651 = 13 × 127
2032 = 16 × 127
∴ HCF = 127
So, required number will be 127.
Question : 9
What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
a) 814
b) 841
c) 840
d) 820
Answer »Answer: (a)
Length of the floor
= 15 m 17 cm = 1517 cm
Breadth of the floor
= 9m 2 cm = 902 cm.
Area of the floor
= 1517 × 902 $cm^2$
The number of square tiles will be least, when the size of each tile is maximum.
∴ Size of each tile = HCF of 1517 and 902 = 41
∴ Required number of tiles
=${1517× 902}/{41× 41}$ = 814
Question : 10 [SSC CAPFs SI, 2015]
The greatest number by which 2300 and 3500 are divided leaving the remainders of 32 and 56 respectively, is
a) 84
b) 168
c) 136
d) 42
Answer »Answer: (a)
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 2300 – 32
= 2268 and 3500 – 56 = 3444
∴ HCF = 84
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 …
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