Day 3 of 60 · Fri 2 Oct · Daily workbook · CAT in 58 days

Day 3: Triangles + Grids & Matching Set + Philosophy RC

Day 3 of the free ThinkCAT 60-day CAT challenge: 5 triangles questions and 3 spaced-review QA questions, a full grids & matching DILR set (4 questions), a philosophy RC passage (4 questions), plus para summary and sentence placement. Every question is a real CAT PYQ.

QA · 8
DILR · 4
VARC · 6
40 minutes
Real CAT questions

Concept card

Triangles

Core formulas

Area = ½ × base × height = ½ ab sin C; Heron: √[s(s − a)(s − b)(s − c)]
Any two sides add to more than the third
Similar triangles: sides in ratio k ⇒ areas in ratio k²
Right triangle: altitude to the hypotenuse h = ab/c; inradius r = (a + b − c)/2

60-second shortcut · Area ratios without heights

D on AB with AD : DB = 2 : 1, E the midpoint of AC: area ADE = (2/3) × (1/2) = 1/3 of ABC.

Trap box

Looks like: Sides 1 : 2 ⇒ areas 1 : 2Actually: Areas scale with the square: 1 : 4
Looks like: 3, 4 and 8 form a triangleActually: 3 + 4 < 8: no triangle

From the free Geometry Formula Sheet (PDF).

What's in Day 3

QA: Triangles (5) + 3 spaced-review questions
DILR: Grids & Matching set, 4 questions
RC: Philosophy passage
VA: Para Summary, Sentence Placement

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

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