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 : 1 [SSC CPO S.I. 2003]
The ratio of two numbers is 4 : 5 and their L.C.M. is 120. The numbers are
a) 24, 30
b) 30, 40
c) 40, 32
d) 36, 20
Answer »Answer: (a)
Suppose the numbers are 4x and 5x respectively
According to question
x × 4 × 5 = 120
⇒ x = 6
∴ Required numbers
= 4 × 6 = 24
and = 5 × 6 = 30
Question : 2
Three numbers are in the ratio 2 : 3 : 4 and their H.C.F. is 12. The L.C.M. of the numbers is
a) 96
b) 144
c) 192
d) 72
Answer »Answer: (b)
Let the numbers be 2x, 3x and 4x respectively.
∴ HCF = x = 12
∴ Numbers are : 2 ×12 = 24
3 ×12 = 36, 4 ×12 = 48
LCM of 24, 36, 48
= 2 × 2 × 2 × 3 × 3 × 2 = 144
Question : 3 [SSC CHSL 2014]
If x : y be the ratio of two whole numbers and z be their HCF, then the LCM of those two numbers is
a) xy z
b) yz
c) xz y
d) xyz
Answer »Answer: (d)
Using Rule 1,
1st number × 2nd number = L.C.M. × H.C.F
Product of two numbers
= HCF × LCM
⇒ Numbers = zx and zy
∴ zx × zy = z × LCM
⇒ LCM = xyz
Question : 4 [SSC CGL Prelim 2008]
Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of the two number is
a) 60
b) 100
c) 80
d) 50
Answer »Answer: (a)
Let the number be 3x and 4x.
Their LCM = 12x
According to the question,
12x = 240
⇒ x = $240/12$ = 20
∴ Smaller number = 3x = 3 × 20 = 60
Question : 5 [SSC MTS 2011]
The LCM of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is
a) 40
b) 28
c) 32
d) 64
Answer »Answer: (a)
If the numbers be 2x and 3x,
then LCM = 6x
∴ 6x = 48 ⇒ x = 8
∴ Required sum = 2x + 3x = 5x
= 5 × 8 = 40
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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