CAT 2019 · Slot 1
A full-length paper in the 2019 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.
100questions
180 min60 min per section
35TITA, no negative marks
29/50/21easy / medium / hard
Section-wise pattern and topics
Sections run in this order with their own timer, as in CAT 2019.
Verbal Ability & Reading Comprehension · 34 questions · 60 min
- Reading Comprehension24
- Verbal Ability10
Data Interpretation & Logical Reasoning · 32 questions · 60 min
- Arrangements & Matching8
- Grid Puzzles4
- Tables4
- Allocation & Rules4
- Games & Tournaments4
- Arithmetic Puzzles4
- Games & Puzzles4
Quantitative Ability · 34 questions · 60 min
- Percentages2
- Profit, Loss & Discount2
- Progressions2
- Coordinate Geometry2
- Compound Interest1
- Ratio & Proportion1
- Mixtures & Alligations1
- Averages1
- Time, Speed & Distance1
- Boats & Streams1
- Time & Work1
- Pipes & Cisterns1
- Partnership1
- Simple Interest1
- Quadratic Equations1
- Inequalities & Modulus1
- Functions1
- Logarithms1
- Maxima & Minima1
- Linear Equations1
- Triangles1
- Circles1
- Mensuration1
- Polygons1
- Similar Triangles1
- Remainders1
- Factors1
- Permutations & Combinations1
- Probability1
- Set Theory & Venn Diagrams1
Sample question from this paper
Compound Interest · medium
A sum of money invested at compound interest (compounded annually) amounts to ₹14,520 at the end of 2 years and to ₹15,972 at the end of 3 years. What is the sum invested?
- A. ₹13,200
- B. ₹11,800
- C. ₹12,000
- D. ₹12,500
Show answer and solution
Answer: C
Under annual compounding, the amount grows by the same factor every year. Growth factor = 15972/14520 = 1.1, so the rate is 10% per annum.
Amount after 2 years = P × 1.1² = 1.21P = 14520 ⇒ P = 14520/1.21 = 12,000.
Check: 12000 → 13200 → 14520 → 15972. ✓
Tip: the interest earned in year 3 (15972 − 14520 = 1452) is 10% of the amount at the end of year 2 — that immediately gives the rate.
Under annual compounding, the amount grows by the same factor every year. Growth factor = 15972/14520 = 1.1, so the rate is 10% per annum.
Amount after 2 years = P × 1.1² = 1.21P = 14520 ⇒ P = 14520/1.21 = 12,000.
Check: 12000 → 13200 → 14520 → 15972. ✓
Tip: the interest earned in year 3 (15972 − 14520 = 1452) is 10% of the amount at the end of year 2 — that immediately gives the rate.