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A certain diet program calls for eating daily calories from carbohydrates, proteins, and fats in the ratio of...

Expert replies
by BTGmoderatorLU » Mon Jul 27, 2020 10:11 am

Timer

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Answers

A

B

C

D

E

Stats

Difficulty—

Source: GMAT Paper Tests

A certain diet program calls for eating daily calories from carbohydrates, proteins, and fats in the ratio of 40:30:30 respectively. On a certain day, did Bill follow this diet program? (1 gram of fat contains 9 calories, 1 gram of protein contains 4 calories, and 1 gram of carbohydrates contains 4 calories)

1) One of the meals Bill ate contained 80 grams of carbohydrates, 60 grams of protein, and 60 grams of fat.
2) Bill ate 1500 calories during the day.

The OA is C
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Source: — Data Sufficiency |

We have to fix carbohydrates, proteins, and fats in the ratio of 40:30:30.
1) One of the meals Bill ate contained 80 grams of carbohydrates, 60 grams of protein, and 60 grams of fat.
This statement talks about one of the meals, although in this meal ratio seems to be perfect, but we dont know about the other meals, Hence Insufficient
2) Bill ate 1500 calories during the day.
From this statement we know total calorie, but we don't know the ratio in which he consumed
Hence Insufficient

Combining 1 and 2
from 80 grams of carbohydrates, 60 grams of protein, and 60 grams of fat he will get
80*4+60*4+60*9=320+240+540=1100,
also from statement 2 bill needs at max 40%of 1500 carbohydrates,30% of 1500 protein, and 30%of 1500=>600 calories of carbohydrates,450 calories of protein and 450 calories of fat
But we can see that already have 540 calories of fat which exceeds the limit of fat.

This implies, bill did not follow the diet program
Hence, C
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