CUET PG General Paper Ratio Time and Mensuration Handwritten Notes

CUET PG Aptitude Ratio Time and Mensuration Handwritten Notes, free to download as a 20-page PDF. The topic is worth about 6 to 10 marks and takes roughly one day to learn, so treat it as a single focused sitting.

The notes are scans of a real notebook: short lines, boxed rules, and a margin note wherever something is easy to get wrong.

CUET PG General Paper Structure

COQP11 carries 75 bilingual questions across five official sections. This set takes the ratio, rate, shape and counting half of Unit 4's twenty-four sub-topics.

What the Notes Cover

• Ratio and proportion, and mixture and allegation
• Time and work, and pipes and cisterns with a negative rate
• Time, speed and distance, including the harmonic mean for equal distances
• Trains, boats and streams, and problems on ages
• Clocks, with the angle formula, and calendars, with odd days
• Geometry, area and perimeter
• Volume and surface area, and how they scale
• Sets and union, and permutation and combination

How to Approach the Section

Almost everything here is a rate. Work per day, distance per hour, filling per minute. Turn the wording into a rate and the question usually collapses to one line.

Rates add when things work together; times do not. Adding times is the single most common error in the unit, and taking the total work as the LCM of the individual times removes the fractions entirely.

For mensuration, one fact answers a surprising number of questions: scale every length by k and the area goes up by k squared while the volume goes up by k cubed.

Common Mistakes

• Adding times instead of rates when two people or pipes work together
• Averaging two speeds instead of dividing total distance by total time
• Forgetting the second train's length when two trains pass each other
• Taking the clock angle at 3:20 as zero. The hour hand has moved past the 3
• Calling 1900 a leap year. Century years must divide by 400
• Scaling a volume by k squared. Volume goes as k cubed
• Using a permutation where order does not matter, which overcounts

Video Revision

Source: Adda247 Law Entrance Exams

How to Use These Notes

Pages 13 and 14 carry the area, volume and surface formulas in one place, and page 20 reduces the whole set to nine lines for a last-hour revision.

Page 9's clock formula and page 10's odd-days rule are the two things in this set most worth memorising outright, because neither can be worked out under time pressure.

The companion set covers averages, percentage, profit and interest.