100+ Chain Rule Aptitude Questions and Answers Pdf - 1

Ans: C

Let the height of the building be x metres.

Less lengthy shadow, Less is the height (Direct Proportion)

∴ 40.25 : 28.75 : : 17.5 : x

⇔ 40.25 × x = 28.75 × 17.5

⇔ x = $(28.75 × 17.5)/{40.25}$ ⇔ x = 12.5.

Ans: A

Let x men can do the work in 12 days and the required number of days be z.

More men, Less days (Indirect Proportion)

Less work, Less days (Direct Proportion)

∴ (2x × 1 × z) = $(x × 1/2 × 12)$

⇔ 2xz = 6x ⇔ z = 3.

Ans: C

Let the required number of mats be x.

More weavers, More mats (Direct Proportion)

More days, More mats (Direct Proportion)

∴ 4 × 4 × x = 8 × 8 × 4 ⇔ x = $(8 × 8 × 4)/(4 × 4)$ = 16.

Ans: B

Let the remaining food last for x days.

500 men had provisions for (27 - 3) = 24 days.

(500 + 300) men had provisions for x days.

More men, Less days (Indirect Proportion)

∴ 800 : 500 : : 24 : x

⇔ (800 × x) = (500 × 24)

⇔ x = $({500 × 24}/800)$ = 15.

Ans: C

Let the required cost be x paise.

Less weight, Less cost (Direct Proportion)

∴ 250 : 200 : : 60 : x

⇔ 250 × x = (200 × 60)

⇔ x = $(200 × 60)/250$ ⇔ x = 48.