Day 32 of 60 · Sat 31 Oct · Daily workbook · CAT in 29 days

Day 32: Circles + Math Puzzle Set + Economics & Business RC

Day 32 of the free ThinkCAT 60-day CAT challenge: 5 circles questions and 3 spaced-review QA questions, a full math puzzle DILR set (4 questions), a economics & business RC passage (5 questions), plus para summary and sentence placement. Every question is a real CAT PYQ.

QA · 8
DILR · 4
VARC · 7
40 minutes
Real CAT questions

Concept card

Circles

Core formulas

Chord = 2√(r² − d²), d = distance from the centre
Angle at the centre = 2 × angle at the circumference
Cyclic quadrilateral: opposite angles add to 180°
Chords AB, CD meeting at E: AE × EB = CE × ED; tangent PT² = PA × PB

60-second shortcut · Chord, radius, distance

Chord 8 in a circle of radius 5: half-chord 4, so its distance from the centre is √(25 − 16) = 3.

Trap box

Looks like: Segment area = sector areaActually: Subtract the triangle: − ½r² sin θ
Looks like: Angle at the circumference = angle at the centreActually: It is half

From the free Geometry Formula Sheet (PDF).

What's in Day 32

QA: Circles (5) + 3 spaced-review questions
DILR: Math Puzzle set, 4 questions
RC: Economics & Business 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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