Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

HCF and LCM

Question:

Match List I with List II

List I List II
A. LCM of $2^2\times 3^3 \times 5^4 \times 7$ and $2^3\times 3 \times 5 \times 7^4$ I. $2^6\times 7^4$
B. HCF of $2^3\times 3^2 \times 5 $ and $3^2\times 2^4 \times 5^3$ II. $2^{12}\times 3^5 \times  5^7 \times  7^{14}$
C. LCM of $5^7\times 7^5\times 2^{12}$ and $3^5\times 7^{14} \times 2^6$ III. $2^3 \times  3^3 \times  5^4 \times  7^4$
D. HCF of $5^7\times 7^5\times 2^{12}$ and $3^5\times 7^4\times 2^6\times 11$ IV. $2^3 \times  3^2 \times  5$

 

Choose the correct answer from the options given below

Options:

A-III, B-II, C-IV, D-I

A-IV, B-III, C-I, D-II

A-III, B-IV, C-II, D-I

A-III, B-IV, C-I, D-II

Correct Answer:

A-III, B-IV, C-II, D-I

Explanation:

B. HCF = Common terms are 232 and 5 thus HCF = 23×32×5  

D. HCF = Common terms are 26 and 74 thus HCF = 26×74 

Thus, selecting the most appropriate option is (3).

The correct answer is option (3) : A-III, B-IV, C-II, D-I