XAT Arithmetic: Percentages, Profit & Loss, Ratio & Proportion, Time & Work, Speed, Time & Distance Notes: Chapter-wise Weightage and Solved Questions

XAT Arithmetic: Percentages, Profit & Loss, Ratio & Proportion, Time & Work, Speed, Time & Distance: 4 chapters, 0 practice questions and one solved question from each chapter.

Arithmetic: Percentages, Profit & Loss, Ratio & Proportion, Time & Work, Speed, Time & Distance Chapter Matrix

Chapter	PYQs	Share of unit PYQs	Practice questions
Numbers, Divisibility, HCF/LCM and Progressions	0	0%	0
Percentages, Profit and Loss, Discounts and Interest	0	0%	0
Ratio, Proportion, Averages and Arithmetic Word Problems	0	0%	0
Time, Work, Speed, Distance and Clocks	0	0%	0

One Solved Question from Each Arithmetic: Percentages, Profit & Loss, Ratio & Proportion, Time & Work, Speed, Time & Distance Chapter

Question 1 · Quantitative Aptitude and Data Interpretation (QA & DI) MCQ

If the Highest Common Factor (HCF) of two numbers is 12 and their Least Common Multiple (LCM) is 180, what is the product of these two numbers?

A.
2160
B.
1920
C.
15
D.
216

Correct Answer:

Step-by-Step Solution

Key idea: This is a direct application of the Golden Formula for two numbers, recognisable because it links HCF, LCM, and Product directly.

Step 1: Recall the fundamental relationship for any two positive integers $a$ and $b$ : $HCF (a, b) \times LCM (a, b) = a \times b$ .

Step 2: Substitute the given values into the formula: $Product = 12 \times 180$ .

Step 3: Calculate the product: $12 \times 180 = 2160$ .

Answer: The product of the two numbers is 2160.

chapter

XAT Arithmetic: Percentages, Profit & Loss, Ratio & Proportion, Time & Work, Speed, Time & Distance Notes: Chapter-wise Weightage and Solved Questions

XAT Arithmetic: Percentages, Profit & Loss, Ratio & Proportion, Time & Work, Speed, Time & Distance: 4 chapters, 0 practice questions and one solved question

A question from this chapter

Question 1

If the Highest Common Factor (HCF) of two numbers is 12 and their Least Common Multiple (LCM) is 180, what is the product of these two numbers?

Free preview ends here

Login to view the complete notes

Creating an account is free. You get the rest of this chapter, step-by-step solutions, and a study plan built around the topics you are actually weak at.

Why MastersUp

Personalised first. High quality throughout.

Most platforms hand everyone the same content. Here the content moves with your performance, topic by topic.

Built around you, not around a syllabus PDF

Every answer you give moves your topic-level intelligence rate. The next question, the next revision card and tomorrow's plan all change with it.

Revision that hits your weak spots

We only revise topics you have actually attempted and are still below the safe bar on — never the same chapter on repeat.

Questions calibrated to the real exam

Each question carries a measured toughness. You are served a rung above your current level, so practice keeps stretching you.

Notes written for recall, not for volume

Full lesson cards for first study, curated short-note cards for the last mile — with derivations, traps and exam patterns marked.

One place for everything

Notes, chapter practice, previous-year questions, test series and full-length papers — all feeding one picture of your preparation.

Honest progress

No vanity streaks. Progress here means chapters mastered and accuracy that held up on harder questions.

Unlock the whole course

Full notes and short notes, the complete question bank with worked solutions, mock tests, full-length papers, and an adaptive plan that rebuilds itself as you improve.

View all plans Start free