9 SSC CGL Quantitative Aptitude previous year questions on HCF and LCM — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.
Q1 FREE PREVIEW
PYQ
In finding the HCF of two numbers by division method, the last divisor is 17 and the quotients are 1,11 and 2 , respectively. What is sum of the two numbers?
a867
b816
c901
d833
✓ Correct answer: b) 816
ExplanationAs we know, Divided = Divisor × quotient + remainder Divided = 17 × 2 + 0 Divided = 34 Again, Divided = Divisor × quotient + remainder Divided = 34 × 11 + 17 Divided = 374 + 17 = 391 Again, Divided = Divisor × quotient + remainder Divided = 391 × 1 + 34 Divided = 391 + 34 = 425 The two numbers are 425 and 391 Sum of two numbers = 425 + 391 = 816 Hence, Option B is the correct answer.
Q2
PYQ
LCM and HCF of two numbers are 90 and 15 , respectively. If the sum of the two numbers is 75 , then find the greater number.
a45
b90
c75
d60
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Q3
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What is the largest common divisor of the numbers 1026, 2268 and 2430?
a27
b54
c81
d108
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Q4
PYQ
What is the smallest perfect square which is completely divisible by each of 16,18 and 36 ?
a144
b81
c196
d169
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Q5
PYQ
Six bells begin to toll together and toll, respectively, at intervals of 3, 4, 6, 7, 8 and 12 seconds. After how many seconds, will they toll together again?
a167
b168
c176
d186
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Q6
PYQ
The ratio of two numbers is 5 : 4 and their HCF is4. What is their LCM?
a80
b48
c36
d60
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Q7
PYQ
Choose the correct statement from the following.
aHCF is the least common multiple of the given numbers
bHCF of two or more numbers is the highest number which perfectly divides all the given numbers.
cHCF is also called the least common divisor.
dIn prime factorisation method of HCF, the multiples of all the given numbers are listed.
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Q8
PYQ
The largest three-digit number that gives the same remainder 2 when divided by 3, 5 and 9 is ________.
a999
b984
c998
d992
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Q9
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Find the least number divisible by and 18 , which is a perfect square.
a900
b1600
c3600
d8100
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