Aptitude, Logical Reasoning and Quantitative Ability
What this domain tests
Aptitude, logical reasoning, and quantitative ability tests numerical problem solving, data interpretation, series, syllogisms, blood relations, seating arrangement, and pattern recognition.
Core rules
- Successive percentage changes do not add: a 20% increase then 20% decrease gives
1.2 × 0.8 = 0.96, a 4% net decrease. - Work problems use rates: if A finishes in
adays and B inb, together they finish inab/(a+b)days. - Speed = distance/time; convert km/h to m/s by multiplying by
5/18. - In syllogisms, draw minimal Venn diagrams; a conclusion is valid only if it must be true in every diagram satisfying the premises.
- Seating puzzles: fix one person, note facing direction, and derive left and right from the facing direction.
- Number series: check differences, ratios, alternating patterns, and squares or cubes.
Worked example
A shirt costs 800 and is increased by 25%, then discounted by 20%. Final price = 800 × 1.25 × 0.80 = 800 × 1.00 = 800. The discount applies to the increased price, not the original. Many candidates add 25% and subtract 20% and wrongly conclude a 5% increase. The correct method converts each change to a multiplier and multiplies the multipliers.
Traps
Adding percentages instead of multiplying factors. Using the original value as the base for a second change. In time-and-work, adding times instead of rates. In syllogisms, assuming real-world knowledge not stated in the premises. In seating, ignoring that left flips when a person faces south. In average questions, forgetting that the new average includes the added item.