CAT 2021 · Slot 1
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
21TITA, no negative marks
17/35/14easy / 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 Comprehension19
- Para Jumble3
- Odd Sentence Out2
Data Interpretation & Logical Reasoning · 20 questions · 40 min
- Missing Values5
- Floors5
- Cricket5
- Tables5
Quantitative Ability · 22 questions · 40 min
- Profit, Loss & Discount1
- Profit & Loss1
- Simple & Compound Interest1
- Mixtures & Alligations1
- Averages1
- Boats & Streams1
- Time, Speed & Distance1
- Time & Work1
- Pipes & Cisterns1
- Quadratic Equations1
- Inequalities & Modulus1
- Logarithms1
- Progressions1
- Functions1
- Equations1
- Maxima & Minima1
- Triangles1
- Circles1
- Coordinate Geometry1
- Mensuration1
- Permutations & Combinations1
- Remainders1
Sample question from this paper
Simple & Compound Interest · medium
A sum of money is invested at a certain rate of compound interest, compounded annually. The amount grows to ₹26,620 at the end of 2 years and to ₹29,282 at the end of 3 years. What is the annual rate of interest?
- A. 8%
- B. 9%
- C. 10%
- D. 11%
Show answer and solution
Answer: C
Let the principal be P and the rate r (as a fraction). Then P(1+r)² = 26,620 and P(1+r)³ = 29,282.
Dividing the second by the first isolates the extra year's growth factor: (1+r) = 29,282/26,620 = 1.1, so r = 10%.
(Check: P = 26,620/1.1² = 22,000, and 22,000 × 1.1³ = 29,282 ✓.)
Tip: Whenever two consecutive years' amounts are given, their ratio directly gives (1 + rate) — no need to find the principal first.
Let the principal be P and the rate r (as a fraction). Then P(1+r)² = 26,620 and P(1+r)³ = 29,282.
Dividing the second by the first isolates the extra year's growth factor: (1+r) = 29,282/26,620 = 1.1, so r = 10%.
(Check: P = 26,620/1.1² = 22,000, and 22,000 × 1.1³ = 29,282 ✓.)
Tip: Whenever two consecutive years' amounts are given, their ratio directly gives (1 + rate) — no need to find the principal first.