TalentLens Differential Aptitude (DAT) 2 — Questions and Answers
Question 1: A gear with 24 teeth meshes with a gear with 8 teeth. If the smaller gear rotates at 120 RPM, how fast does the larger gear rotate?
- 40 RPM (Correct answer)
- 360 RPM
- 60 RPM
- 80 RPM
Correct answer: 40 RPM
Gear ratio = 8/24 = 1/3, so the larger gear rotates at 120 × (1/3) = 40 RPM.
Question 2: A series: 3, 6, 12, 24, ___. What is the next number?
- 36
- 48 (Correct answer)
- 30
- 42
Correct answer: 48
Each term doubles the previous one, so 24 × 2 = 48.
Question 3: Which word is most nearly OPPOSITE in meaning to METICULOUS?
- Careless (Correct answer)
- Thorough
- Precise
- Diligent
Correct answer: Careless
Meticulous means extremely careful and precise; careless is its antonym.
Question 4: A rectangle has a perimeter of 36 cm. If its length is twice its width, what is its area?
- 72 cm² (Correct answer)
- 81 cm²
- 144 cm²
- 54 cm²
Correct answer: 72 cm²
Width = 6 cm, length = 12 cm, area = 6 × 12 = 72 cm².
Question 5: A flat piece of paper is folded in half twice, then a triangular notch is cut from the folded corner. When unfolded, how many holes appear?
- 1
- 2
- 4 (Correct answer)
- 8
Correct answer: 4
Folding twice creates 4 layers, so one cut at the corner produces 4 holes when unfolded.
Question 6: If a train travels 180 miles in 3 hours, how long will it take the same train to travel 300 miles at the same speed?
- 4 hours
- 5 hours (Correct answer)
- 6 hours
- 4.5 hours
Correct answer: 5 hours
Speed = 180/3 = 60 mph; time = 300/60 = 5 hours.
Question 7: Which figure would complete the pattern if the shapes alternate between filled and outlined, and increase in the number of sides by one each step: circle, triangle, square, ___?
- Pentagon (filled) (Correct answer)
- Hexagon (outlined)
- Pentagon (outlined)
- Hexagon (filled)
Correct answer: Pentagon (filled)
Following the alternating fill pattern and adding one side, the next is a filled pentagon.
TalentLens Differential Aptitude (DAT) 2
A gear with 24 teeth meshes with a gear with 8 teeth.
If the smaller gear rotates at 120 RPM, how fast does the larger gear rotate?