Advanced Quantitative Ability questions appear in the 25-minute Advanced aptitude block of TCS NQT (shared with advanced reasoning). These are a clear step up from the Foundation section: expect algebra, higher-level probability, statistics and mensuration that need two or three steps of working.
Topics to master
- Quadratic equations and progressions
- Probability of independent and combined events
- Permutations & combinations (larger cases)
- Mensuration of composite solids
- Statistics — mean, median, mode, quartile deviation
- Coordinate geometry and inequalities
Practice advanced quantitative questions
All questions below are from recent TCS NQT advanced sections. Click an option to check your answer.
If (1 + λ²)x² + 2λcx + (c² − a²) = 0 has equal roots, then a²(1 + λ²) = ?
A metallic solid cube of side 4 cm is melted into a hollow sphere of internal radius 3 cm. What is the external radius?
If the roots of x² + ax + b = 0 are tan 15° and tan 30°, then the value of 2 + b − a is:
With ~100 seconds per question in this block, learn to decide within 15 seconds whether to solve algebraically or verify options — for questions like the independent-events problem above, checking options is far faster.



