CAT 2021 · Slot 3
A full-length paper in the 2021 pattern. Sit it under exam conditions with solutions locked until you submit, or open it in learn mode and check each answer as you go.
66questions
120 min40 min per section
20TITA, no negative marks
26/32/8easy / medium / hard
Section-wise pattern and topics
Sections run in this order with their own timer, as in CAT 2021.
Verbal Ability & Reading Comprehension · 24 questions · 40 min
- Reading Comprehension16
- Para Jumble3
- Para Summary2
- Odd Sentence Out2
- Sentence Placement1
Data Interpretation & Logical Reasoning · 20 questions · 40 min
- Tables5
- Games & Tournaments5
- Seating Arrangement5
- Maximum Flow3
- Networks & Routes2
Quantitative Ability · 22 questions · 40 min
- Profit, Loss & Discount1
- Profit & Loss1
- Simple & Compound Interest1
- Mixtures & Alligations1
- Averages1
- Time, Speed & Distance1
- Time & Work1
- Percentages1
- Ratio & Partnership1
- Quadratic Equations1
- Inequalities & Modulus1
- Logarithms1
- Functions1
- Diophantine Equations1
- Maxima & Minima1
- Triangles1
- Circles1
- Coordinate Geometry1
- Mensuration1
- Permutations & Combinations1
- Remainders1
- Probability1
Sample question from this paper
Simple & Compound Interest · medium
A sum of ₹10,000 is invested at 20% per annum compounded half-yearly. What is the compound interest earned at the end of 1 year?
- A. ₹2,000
- B. ₹2,100
- C. ₹2,200
- D. ₹2,400
Show answer and solution
Answer: B
Compounded half-yearly at 20% per annum means the rate per half-year is 10%, applied over 2 periods (1 year).
Amount = 10000 × (1.10)² = 10000 × 1.21 = ₹12,100.
Compound interest = 12,100 − 10,000 = ₹2,100.
Why others fail: ₹2,000 is the simple interest at 20% for 1 year (ignoring the compounding); ₹2,200 and ₹2,400 come from applying 10% or 20% only once more without squaring correctly.
Tip: With half-yearly compounding, halve the annual rate and double the number of periods before applying the compound interest formula.
Compounded half-yearly at 20% per annum means the rate per half-year is 10%, applied over 2 periods (1 year).
Amount = 10000 × (1.10)² = 10000 × 1.21 = ₹12,100.
Compound interest = 12,100 − 10,000 = ₹2,100.
Why others fail: ₹2,000 is the simple interest at 20% for 1 year (ignoring the compounding); ₹2,200 and ₹2,400 come from applying 10% or 20% only once more without squaring correctly.
Tip: With half-yearly compounding, halve the annual rate and double the number of periods before applying the compound interest formula.