CAT 2016 · Slot 1
A full-length paper in the 2016 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
30TITA, no negative marks
28/55/17easy / medium / hard
Section-wise pattern and topics
Sections run in this order with their own timer, as in CAT 2016.
Verbal Ability & Reading Comprehension · 34 questions · 60 min
- Reading Comprehension24
- Para Jumble4
- Para Summary3
- Odd Sentence Out3
Data Interpretation & Logical Reasoning · 32 questions · 60 min
- Games & Tournaments4
- Seating Arrangement4
- Tables4
- Venn Diagrams4
- Investments4
- Scheduling4
- Games4
- Ranking & Ordering4
Quantitative Ability · 34 questions · 60 min
- Profit & Loss3
- Simple & Compound Interest2
- Time, Speed & Distance2
- Coordinate Geometry2
- Ratio & Proportion1
- Mixtures & Alligations1
- Averages1
- Time & Work1
- Pipes & Cisterns1
- Percentages1
- Partnership1
- Linear Equations1
- Quadratic Equations1
- Inequalities & Modulus1
- Functions1
- Logarithms1
- Progressions1
- Sequences & Series1
- Maxima & Minima1
- Triangles1
- Circles1
- Mensuration1
- Polygons1
- Quadrilaterals1
- Remainders1
- Factors1
- Permutations & Combinations1
- Probability1
- Set Theory1
Sample question from this paper
Simple & Compound Interest · medium
The difference between the compound interest (compounded annually) and the simple interest on a certain sum for 3 years at 10% per annum is ₹620. The sum is
- A. ₹15,000
- B. ₹20,000
- C. ₹24,000
- D. ₹31,000
Show answer and solution
Answer: B
For 3 years at rate r, CI − SI = P[(1 + r)³ − 1 − 3r].
With r = 0.1: (1.1)³ = 1.331, so CI = 0.331P and SI = 0.3P. Difference = 0.031P.
0.031P = 620 ⇒ P = ₹20,000.
Check: CI = 6,620, SI = 6,000, difference 620 ✓.
Shortcut: For 3 years, CI − SI = P·r²(3 + r) = P × 0.01 × 3.1 = 0.031P.
For 3 years at rate r, CI − SI = P[(1 + r)³ − 1 − 3r].
With r = 0.1: (1.1)³ = 1.331, so CI = 0.331P and SI = 0.3P. Difference = 0.031P.
0.031P = 620 ⇒ P = ₹20,000.
Check: CI = 6,620, SI = 6,000, difference 620 ✓.
Shortcut: For 3 years, CI − SI = P·r²(3 + r) = P × 0.01 × 3.1 = 0.031P.