lcm and hcf Model Questions & Answers, Practice Test for ssc mts paper 1 2023
ssc mts paper 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
LCM & HCF
Ratio Proportion & Partnership
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Algebraic Expressions
Trigonometric Ratios & Identity
Three numbers are in the ratio 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F is
Answer: (c)
Let the number are 3 x, 4 x and 5 x.
So, LCM (3 x, 4 x, 5 x) = 60 x
60 x = 2400
x = 40
Hence three numbers are 3 × 40, 4 × 40 and 5 × 40
Since the HCF means highest common factor.
So, the HCF = 40
What least number should be added to 3500 to make it exactly divisible by 42, 49, 56 and 63?
Answer: (b)
LCM of 42, 49, 56, 63 = 3528; therefore, the required least number = 3528 – 3500 = 28
Find the least number that, being increased by 8, is divisible by 32, 36 and 40.
Answer: (c)
LCM of 32, 36 and 40 = 1440, therefore, the required number
= 1440 – 8 = 1432
Two third of three-fourth of one-fifth of a number is 15. What is 30 per cent of that number ?
Answer: (c)
Suppose the number is x.
$x × 1/5 × 3/4 × 2/3 = 15⇒x = 15 × 5/1 × 4/3 × 3/2⇒x = 150$
30% of x = 150 × 0.3 = 45
Find the least number from which 12, 18, 32 or 40 may be subtracted.
Answer: (c)
The required number = LCM of 12, 18, 32, 40 = 1440
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