Project ForgeGeneral Aptitude
Quantitative Aptitude
GATE 2021
Medium
The number of hens, ducks and goats in farm P are 65, 91 and 169, respectively. The total number of hens, ducks and goats in a nearby farm Q is 416. The ratio of hens:ducks:goats in farm Q is 5:14:13. All the hens, ducks and goats are sent from farm Q to farm P. The new ratio of hens:ducks:goats in farm P is_____
- A5:7:13
- B5:14:13
- 10:21:26
- D21:10:26
Explanation
Farm Q's ratio parts sum to 5+14+13=32. Farm Q counts: hens=416x5/32=65, ducks=416x14/32=182, goats=416x13/32=169. New farm P totals: hens=65+65=130, ducks=91+182=273, goats=169+169=338. Dividing by their common factor 13: 130:273:338 = 10:21:26.
Source: GATE ME 2021 Session 1 (ME-1) (2021)
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