CAT 2020 · Slot 2
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
25TITA, no negative marks
23/42/11easy / 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 Summary3
- Para Jumble2
- Odd Sentence Out2
- Sentence Placement1
Data Interpretation & Logical Reasoning · 24 questions · 40 min
- Distributions5
- Routes & Scheduling5
- Tables with Missing Data5
- Arrangements4
- Tables2
- Percentage change1
- Growth rates1
- Weighted share1
Quantitative Ability · 26 questions · 40 min
- Profit, Loss & Discount2
- Mixtures & Alligation2
- Coordinate Geometry2
- Percentages1
- Simple & Compound Interest1
- Averages1
- Time, Speed & Distance1
- Time & Work1
- Circular Motion1
- Pipes & Cisterns1
- Quadratic Equations1
- Inequalities & Modulus1
- Functions1
- Logarithms1
- Progressions1
- AGP1
- Divisors1
- Maxima & Minima1
- Triangles1
- Circles1
- Polygons1
- Permutations & Combinations1
- Probability1
Sample question from this paper
Time, Speed & Distance · medium
A boat covers 36 km downstream and 24 km upstream in 6 hours. It also covers 48 km downstream and 16 km upstream in 6 hours. What is the speed of the boat in still water (in km/h)?
- A. 8
- B. 12
- C. 10
- D. 9
Show answer and solution
Answer: C
Let downstream speed = d and upstream speed = u.
36/d + 24/u = 6 and 48/d + 16/u = 6.
Subtracting: 12/d = 8/u, so u = 2d/3 and 24/u = 36/d. The first equation becomes 72/d = 6, so d = 12 and u = 8.
Speed in still water = (12 + 8)/2 = 10 km/h (stream = 2 km/h).
Trap: 12 and 8 are the downstream and upstream speeds, not the boat's speed.
Let downstream speed = d and upstream speed = u.
36/d + 24/u = 6 and 48/d + 16/u = 6.
Subtracting: 12/d = 8/u, so u = 2d/3 and 24/u = 36/d. The first equation becomes 72/d = 6, so d = 12 and u = 8.
Speed in still water = (12 + 8)/2 = 10 km/h (stream = 2 km/h).
Trap: 12 and 8 are the downstream and upstream speeds, not the boat's speed.