Day 46 of 60 · Sat 14 Nov · Daily workbook · CAT in 15 days

Day 46: Maxima, Minima & Mensuration + Routes & Optimisation Set + Culture & Society RC

Day 46 of the free ThinkCAT 60-day CAT challenge: 5 maxima, minima & mensuration questions and 3 spaced-review QA questions, a full routes & optimisation DILR set (5 questions), a culture & society RC passage (4 questions), plus para summary and para jumbles. Every question is a real CAT PYQ.

QA · 8
DILR · 5
VARC · 6
40 minutes
Real CAT questions

Concept card

Maxima, Minima & Mensuration

Core formulas

ax² + bx + c has its extreme at x = −b/2a
AM ≥ GM: a fixed sum gives the largest product when the parts are equal
Fixed perimeter: the square beats every other rectangle
Cylinder: volume πr²h; cone: ⅓πr²h; sphere: ⁴⁄₃πr³

60-second shortcut · Equal parts win

x + y = 10 ⇒ xy is largest at x = y = 5 (25). Perimeter 40 ⇒ the 10 × 10 square gives the most area.

Trap box

Looks like: Double the side ⇒ double the areaActually: Area goes up 4 times, volume 8 times
Looks like: Minimum of x + 1/x is 0Actually: For x > 0 it is 2, at x = 1

From the free Geometry Formula Sheet (PDF).

What's in Day 46

QA: Maxima, Minima & Mensuration (5) + 3 spaced-review questions
DILR: Routes & Optimisation set, 5 questions
RC: Culture & Society passage
VA: Para Summary, Para Jumbles

Year, slot and question number for each question appear with the answer key after you submit.

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