model 5 lcm & hcf vs ratios 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 : 11
The LCM and the HCF of the numbers 28 and 42 are in the ratio :
a) 3 : 2
b) 6 : 1
c) 2 : 3
d) 7 : 2
Answer »Answer: (b)
L.C.M. of 28 and 42
2 | 28, | 42 |
2 | 14, | 21 |
7 | 7, | 21 |
1, | 3 |
= 2 × 2 × 7 × 3 = 84
H.C. F. of 28 and 42
∴ H.C. F = 14
Required ratio = $84/14$ = 6 : 1
Question : 12 [SSC CAPFs SI 2013]
The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is :
a) 15
b) 10
c) 60
d) 12
Answer »Answer: (c)
If the numbers be 3x and 4x,
then
HCF = x = 5
∴ Numbers = 15 and 20
∴ LCM = 60
Question : 13 [SSC CGL 2015]
The H.C.F. and L.C.M. of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is
a) 48
b) 12
c) 108
d) 84
Answer »Answer: (d)
HCF of numbers = 21
∴ Numbers = 21x and 21y
Where x and y are prime to each other.
Ratio of numbers = 1 : 4
∴ Larger number = 21 × 4 = 84
Question : 14 [SSC CGL 2014]
Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are
a) 4, 8, 12
b) 12, 24, 36
c) 5, 10, 15
d) 10, 20, 30
Answer »Answer: (b)
Numbers = x , 2 x and 3 x (let)
Their H.C.F. = x = 12
∴ Numbers = 12, 24 and 36
Question : 15
The ratio of two numbers is 4 : 5 and their H.C.F. is 8. Then their L.C.M. is
a) 150
b) 130
c) 140
d) 160
Answer »Answer: (d)
Let the numbers be 4x and 5x.
∴ H.C.F. = x = 8
∴ Numbers = 32 and 40
∴Their LCM = 160
IMPORTANT quantitative aptitude EXERCISES
model 5 lcm & hcf vs ratios Shortcuts »
Click to Read...model 5 lcm & hcf vs ratios 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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