TalentLens Differential Aptitude (DAT) 2

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?

Accepted Answer

40 RPM

Answer

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?

Accepted Answer

48

Answer

Each term doubles the previous one, so 24 × 2 = 48.

Question 3

Which word is most nearly OPPOSITE in meaning to METICULOUS?

Accepted Answer

Careless

Answer

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?

Accepted Answer

72 cm²

Answer

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?

Accepted Answer

4

Answer

Folding twice creates 4 layers, so one cut at the corner produces 4 holes when unfolded.

(TalentLens) TalentLens Practice Tests Practice Test