HCF Quiz
Practice quiz on HCF (Numerical & Mental Ability). 10 exam-style questions with explanations.
About This Quiz
HCF Quiz — Questions with Solutions
All 10 questions from this quiz with the correct answer and explanation. Attempt them yourself first, then open each solution to check your reasoning.
Q1.The HCF of 12 and 18 is
- A.6
- B.36
- C.3
- D.12
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Answer: A. 6
6.
Q2.The HCF of 24 and 36 is
- A.6
- B.12
- C.18
- D.72
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Answer: B. 12
12.
Q3.The HCF of 15, 25 and 35 is
- A.1
- B.15
- C.25
- D.5
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Answer: D. 5
5.
Q4.The HCF of two co-prime numbers is
- A.Their product
- B.The smaller number
- C.1
- D.0
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Answer: C. 1
1.
Q5.The largest number that divides 28 and 42 exactly is
- A.14
- B.28
- C.7
- D.21
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Answer: A. 14
HCF = 14.
Q6.The HCF of 48 and 72 is
- A.12
- B.8
- C.36
- D.24
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Answer: D. 24
24.
Q7.If HCF of two numbers is 4 and their product is 192, their LCM is
- A.96
- B.12
- C.48
- D.24
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Answer: C. 48
192/4.
Q8.The HCF of 18, 27 and 45 is
- A.6
- B.18
- C.9
- D.3
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Answer: C. 9
9.
Q9.The greatest number that divides 60 and 90 leaving no remainder is
- A.10
- B.20
- C.30
- D.15
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Answer: C. 30
30.
Q10.The HCF of 100 and 75 is
- A.5
- B.25
- C.50
- D.10
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Answer: B. 25
25.
Frequently Asked Questions
Is HCF Quiz free to attempt on AajExam?
Yes. HCF Quiz is completely free. You only need a free AajExam account to track your score, view detailed solutions and unlock cross-attempt analytics.
How long does it take to complete HCF Quiz?
HCF Quiz runs on a 10-minute timer in real exam-style conditions. The clock starts the moment you click Start, mirroring the time pressure of the actual exam.
Are detailed solutions provided?
Yes. Every question on HCF Quiz ships with a complete step-by-step solution, the underlying concept, and (where applicable) shortcut tricks. You can also discuss any question with the AajExam community.
Can I attempt HCF Quiz multiple times?
Yes. You can attempt this quiz as many times as you like. Each attempt is recorded separately so you can track improvement in score, accuracy and time-management.
Which government exams does this quiz prepare me for?
LCM & HCF questions appear regularly in SSC CGL, CHSL, MTS, GD; IBPS PO, Clerk; SBI PO, Clerk; RRB NTPC, Group D; UPSC prelims and most State PSC exams. The specific weightage varies by exam — check the exam pattern on the corresponding AajExam exam page for details.