CAT 2022 · Slot 3
A full-length paper in the 2022 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
18/33/15easy / medium / hard
Section-wise pattern and topics
Sections run in this order with their own timer, as in CAT 2022.
Verbal Ability & Reading Comprehension · 24 questions · 40 min
- Reading Comprehension16
- Verbal Ability8
Data Interpretation & Logical Reasoning · 20 questions · 40 min
- Tables5
- Games & Tournaments5
- Seating Arrangement5
- Puzzles5
Quantitative Ability · 22 questions · 40 min
- Mixtures & Alligation2
- Profit, Loss & Discount1
- Profit & Loss1
- Simple & Compound Interest1
- Averages1
- Time, Speed & Distance1
- Time & Work1
- Percentages1
- Exponential Equations1
- Inequalities1
- Functions1
- Logarithms1
- Progressions1
- Triangles1
- Circles1
- Mensuration1
- Coordinate Geometry1
- Remainders1
- Sets & Divisibility1
- Permutation & Combination1
- Probability1
Sample question from this paper
Profit, Loss & Discount · medium
A shopkeeper marks his goods 25% above the cost price and offers a discount of 20% on the marked price. However, while selling, he uses a weight of 800 g in place of 1 kg. Find his overall profit percentage.
- A. 20%
- B. 22.5%
- C. 25%
- D. 30%
Show answer and solution
Answer: C
Let cost per kg = C. Marked price = 1.25C. Selling price after 20% discount = 1.25C × 0.80 = 1.00C, charged for what is actually only 800 g, whose true cost is 0.8C. Profit = 1.00C − 0.8C = 0.2C on a cost of 0.8C, so profit% = 0.2C/0.8C × 100 = 25%. Shortcut: combine markup, discount and weight-fraction multiplicatively — (1.25×0.80)/0.8 − 1 = 0.25.
Let cost per kg = C. Marked price = 1.25C. Selling price after 20% discount = 1.25C × 0.80 = 1.00C, charged for what is actually only 800 g, whose true cost is 0.8C. Profit = 1.00C − 0.8C = 0.2C on a cost of 0.8C, so profit% = 0.2C/0.8C × 100 = 25%. Shortcut: combine markup, discount and weight-fraction multiplicatively — (1.25×0.80)/0.8 − 1 = 0.25.