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
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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 …
QUANTITATIVE APTITUDE CATEGORIES
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» Number System
-
» Average
-
» LCM & HCF
-
» Percentage
-
» Profit & Loss
-
» Time & Work
-
» Pipes & Cisterns
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» Time & Distance
-
» Trains
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» Compound Interest
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» Simplification
-
» Discount
-
» Power
-
» Permutations & Combination
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» Ratio & Proportion
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» Advance Math
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» Algebraic Expressions
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» Trigonometric Ratios & Identities
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» Simple Interest
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» Alligation & Mixtures
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» Boats & Streams
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» Set Theory
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» Linear Equations
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» Quadratic Equations
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» Mensuration
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» Squareroots & Cuberoots
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» Data Sufficiency
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» Logarithm
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» Probability
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» Statistics
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