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Suraj0184
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A survey was conducted in a town to gauge the popularity of 2 luxury c 28 Jul 2022, 20:01
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

95% (hard)

Question Stats:

52% (02:52) correct 48% (02:19) wrong based on 149 sessions

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A survey was conducted in a town to gauge the popularity of 2 luxury cars viz. Mercedes and Audi. A total of 800 persons participated in the survey. It was found that 544 persons liked Mercedes whereas only 378 persons liked Audi. What can be the number of persons who liked Mercedes alone?

A. 122
B. 150
C. 165
D. 394
E. 425

Source : Wizako
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D
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A survey was conducted in a town to gauge the popularity of 2 luxury c Updated on: 29 Jul 2022, 21:42
Originally posted by Kinshook on 28 Jul 2022, 21:36.
Last edited by Kinshook on 29 Jul 2022, 21:42, edited 1 time in total.
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Given: A survey was conducted in a town to gauge the popularity of 2 luxury cars viz. Mercedes and Audi. A total of 800 persons participated in the survey. It was found that 544 persons liked Mercedes whereas only 378 persons liked Audi.

Asked: What can be the number of persons who liked Mercedes alone?


Mercedes˜MercedesTotal
Audi544-xx-166378
~Audix422-x422
Total544256800

A. 122

Mercedes˜MercedesTotal
Audi422>378378
~Audi122
Total544800
NOT POSSIBLE

B. 150

Mercedes˜MercedesTotal
Audi394>378378
~Audi150
Total544800
NOT POSSIBLE

C. 165

Mercedes˜MercedesTotal
Audi379>378378
~Audi165
Total544800
NOT POSSIBLE

D. 394

Mercedes˜MercedesTotal
Audi150228378
~Audi394
Total544800
POSSIBLE

E. 425

Mercedes˜MercedesTotal
Audi544-xx-166378
~Audi425>422422-x=-5422
Total544256800
NOT POSSIBLE

IMO D
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A survey was conducted in a town to gauge the popularity of 2 luxury c 28 Jul 2022, 22:10
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Suraj0184
Please check whether 2 options D & E are correct.

Suraj0184
A survey was conducted in a town to gauge the popularity of 2 luxury cars viz. Mercedes and Audi. A total of 800 persons participated in the survey. It was found that 544 persons liked Mercedes whereas only 378 persons liked Audi. What can be the number of persons who liked Mercedes alone?

A. 122
B. 150
C. 165
D. 394
E. 425

Source : Wizako
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A survey was conducted in a town to gauge the popularity of 2 luxury c 28 Jul 2022, 22:56
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Given: A survey was conducted in a town to gauge the popularity of 2 luxury cars viz. Mercedes and Audi. A total of 800 persons participated in the survey. It was found that 544 persons liked Mercedes whereas only 378 persons liked Audi.

Asked: What can be the number of persons who liked Mercedes alone?


The hidden clues
1. Qs sentence said "can be", so we have to find a range for the possible answer.
2. There can be people among 800, who like neither marcedes nor Audi.

Now, the highest number of people liking both of the cars is 378(number of people liking audi)
And the lowest number of people in common area is

544+378-800= 122

Now, number of people liking Marcedes only lies between
(544-378) - (544-122)
166 to 422

Only option that lies between this range is D.

Posted from my mobile device
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A survey was conducted in a town to gauge the popularity of 2 luxury c 28 Jul 2022, 23:21
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raghib007


A survey was conducted in a town to gauge the popularity of 2 luxury cars viz. Mercedes and Audi. A total of 800 persons participated in the survey. It was found that 544 persons liked Mercedes whereas only 378 persons liked Audi. What can be the number of persons who liked Mercedes alone?

A. 122
B. 150
C. 165
D. 394
E. 425


Let

Both Cars = x (say)
Only Mercedes = 544-x
Only Audi = 378-x
None as preference = n (say)

MAX criterion

for n=0
x + 544-x + 378-x = 800
x= 122

Hence, Only Mercedes = 544-122 = 422

MIN criterion

This will happen when all persons who like Mercedes also like Audi
In such a case

Both Cars, ie, x = 378
Only Mercedes = 544-378 = 166
Only Audi = 0
None as preference, ie, n = 800-544 = 256

Clearly, the range for Mercedes only (ie, 544-x) will be

166 <= (544-x) <= 422

Only (D) can be the number of persons who liked Mercedes alone
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A survey was conducted in a town to gauge the popularity of 2 luxury c 10 Sep 2025, 02:47
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