CAT 2020 · Slot 1
A full-length paper in the 2020 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.
76questions
120 min40 min per section
24TITA, no negative marks
23/38/15easy / medium / hard
Section-wise pattern and topics
Sections run in this order with their own timer, as in CAT 2020.
Verbal Ability & Reading Comprehension · 26 questions · 40 min
- Reading Comprehension18
- Para Jumble3
- Para Summary2
- Odd Sentence Out2
- Sentence Placement1
Data Interpretation & Logical Reasoning · 24 questions · 40 min
- Games & Tournaments5
- Circular5
- Weights5
- Tables4
- Elections & Voting4
- Weighted Averages1
Quantitative Ability · 26 questions · 40 min
- Profit & Loss1
- Simple & Compound Interest1
- Mixtures & Alligation1
- Replacement1
- Averages1
- Time, Speed & Distance1
- Boats & Streams1
- Time & Work1
- Pipes & Cisterns1
- Percentages1
- Quadratic Equations1
- Inequalities & Modulus1
- Logarithms1
- Progressions1
- Functions1
- Linear Diophantine Equations1
- Maxima & Minima1
- Triangles1
- Circles1
- Mensuration1
- Coordinate Geometry1
- Polygons1
- Remainders1
- Factors1
- Permutations & Combinations1
- Probability1
Sample question from this paper
Profit & Loss · medium
A trader marks his goods 40% above the cost price and allows a discount of 15% on the marked price. In addition, he uses a weight of 900 g in place of 1 kg while selling. His overall profit percentage is
- A. 29%
- B. 32 2/9%
- C. 30 1/2%
- D. 34 1/9%
Show answer and solution
Answer: B
Take the cost of 1 kg as 100. Marked price = 140; selling price after 15% discount = 140 × 0.85 = 119.
But the customer who pays 119 receives only 900 g, which cost the trader 90.
Profit % = (119 − 90)/90 × 100 = 29/90 × 100 = 32 2/9%.
Why not 29%? That is the profit on 1 kg ignoring the false weight; the trader actually spends only 90, not 100, per sale.
Tip: Overall multiplier = (1.4 × 0.85)/0.9 = 1.3222 → 32.22% profit.
Take the cost of 1 kg as 100. Marked price = 140; selling price after 15% discount = 140 × 0.85 = 119.
But the customer who pays 119 receives only 900 g, which cost the trader 90.
Profit % = (119 − 90)/90 × 100 = 29/90 × 100 = 32 2/9%.
Why not 29%? That is the profit on 1 kg ignoring the false weight; the trader actually spends only 90, not 100, per sale.
Tip: Overall multiplier = (1.4 × 0.85)/0.9 = 1.3222 → 32.22% profit.