100+ LCM and HCF Questions for IBPS PO, SO, Clerk Pdf - 1
Question: 1
LCM and HCF of two numbers are 48 and 8 respectively. If one of the numbers is 16, the second number is
(A) 12
(B) 18
(C) 24
(D) 36
Ans: C
Second number = $${LCM × HCF} / {First number}$$ = $${48 × 8} / {16}$$ = 24.
Question: 2
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is
(A) 12
(B) 16
(C) 24
(D) 48
Ans D
Let the numbers be 3x and 4x.
Then, their H.C.F. = x.
So, x = 4.
So, the numbers are 12 and 16.
L.C.M. of 12 and 16 = 48.
Question: 3
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is
(A) 276
(B) 299
(C) 322
(D) 345
Ans: C
Clearly, the numbers are (23 × 13) and (23 × 14).
∴ Larger number = (23 × 14) = 322.
Question: 4
Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?
(A) 27
(B) 36
(C) 43
(D) 480
Ans: B
Maximum length of each part
= H.C.F. of 78 cm, 104 cm, 117 cm, 169 cm = 13 cm.
∴ Number of pieces = $$({78 + 104 + 117 + 169} / {13})$$ = $${468}/{13}$$ = 36.
Question: 5
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is
(A) 504
(B) 536
(C) 544
(D) 548
Ans: D
Required number = (L.C.M. of 12, 15, 20, 54) + 8 = 540 + 8 = 548.
- 100+ LCM and HCF Questions for IBPS PO, SO, Clerk Pdf
- 100+ SBI PO Quantitative Aptitude Questions with Answers Pdf
- 1000+ Aptitude Questions and Answers for IT Companies
- 1000+ Quantitative Aptitude Questions & Answers for Competitive Exams
- 1000+ Aptitude Test Questions and Answers Pdf
- 1000+ NAB Aptitude Test Questions and Answers
- 1000+ Ethiopian Bank Interview Questions and Answers Pdf
- Maths Quantitative Aptitude Questions and Answers for Bank Exams Pdf
- 1000+ Silicon Valley Bank Aptitude Test Questions and Answers Pdf
7000+ Abbreviations Quiz Pdf More
7000+ Computer Abbreviations MCQ with Answers More
7000+ Degrees of Comparison Questions for Class 10 More
TNPSC Degrees of Comparison Exercises for Class 10 with Answers More
7000+ Articles MCQ Questions and Answers More
TNPSC Group 1, 2 Physics Online Mock Test in English and Tamil More
100+ GATE Petroleum Engineering Previous Year Papers with Solutions More
TNPSC Group 4 Chemistry Question Paper with Answers More
100+ Profit and Loss Questions for IBPS PO, SO, Clerk Pdf More
1000+ Logical Reasoning and Analytical Ability UPSC Questions Pdf More