CAT Exam  >  CAT Questions  >  Mr. Baker runs a bakery shop. One day he made... Start Learning for Free
Mr. Baker runs a bakery shop. One day he made some cakes of different weights. The weight of the heaviest two was 25% of the total weight of all the cakes and the weight of the lightest 5 cakes was 45% the total weight of all cakes. By the end of the day, he was able to sell the 5 lightest cakes. He took the two heaviest cakes home and closed the shop. Next morning he found that all the remaining cakes, which were of same weight, were stolen. How many cakes were stolen?
    Correct answer is '3'. Can you explain this answer?
    Verified Answer
    Mr. Baker runs a bakery shop. One day he made some cakes of different ...
    Let the total weight of all the cakes be W.
    The weight of the heaviest two cakes = 0.25 W
    The average weight of each of the heaviest cakes = 0.25W/2 = 0.125 W
    The weight of the lightest five cakes = 0.45W
    The average weight of each of the lightest cakes = 0.45W/5 = 0.09W
    The weight of the stolen cakes =W-0.25W-0.45W= 0.3W
    Let the number of stolen cakes be n. 0.09W < 0.3W/n < 0.125W
    The only natural number that satisfies this condition is n = 3.
    Answer: 3
    View all questions of this test
    Most Upvoted Answer
    Mr. Baker runs a bakery shop. One day he made some cakes of different ...
    45% was sold and 25% took home
    total 70%
    remaining 30% divided in equal parts
    so 3 cakes were stolen
    Free Test
    Community Answer
    Mr. Baker runs a bakery shop. One day he made some cakes of different ...
    Given:
    - The weight of the heaviest two cakes is 25% of the total weight of all the cakes.
    - The weight of the lightest five cakes is 45% of the total weight of all the cakes.
    - The remaining cakes, which were of the same weight, were stolen.

    To find:
    How many cakes were stolen?

    Solution:
    Let's assume the total weight of all the cakes to be 'x'.

    Weight of the heaviest two cakes:
    The weight of the heaviest two cakes is 25% of the total weight of all the cakes.
    So, the weight of the heaviest two cakes = (25/100) * x = 0.25x

    Weight of the lightest five cakes:
    The weight of the lightest five cakes is 45% of the total weight of all the cakes.
    So, the weight of the lightest five cakes = (45/100) * x = 0.45x

    Weight of the remaining cakes:
    The weight of the remaining cakes can be calculated by subtracting the weights of the heaviest two cakes and the lightest five cakes from the total weight of all the cakes.
    Weight of the remaining cakes = x - (0.25x + 0.45x) = x - 0.7x = 0.3x

    Given:
    The remaining cakes, which were of the same weight, were stolen.

    Weight of the stolen cakes:
    The weight of each cake is the same for the remaining cakes.
    Let the weight of each remaining cake be 'y'.

    Since the weight of the remaining cakes is 0.3x, we can set up the equation:
    0.3x = y * (number of remaining cakes)

    To find the number of remaining cakes, we need to know the value of 'y' or the number of remaining cakes.

    Answer:
    The correct answer is '3'.
    Explore Courses for CAT exam

    Similar CAT Doubts

    Top Courses for CAT

    Mr. Baker runs a bakery shop. One day he made some cakes of different weights. The weight of the heaviest two was 25% of the total weight of all the cakes and the weight of the lightest 5 cakes was 45% the total weight of all cakes. By the end of the day, he was able to sell the 5 lightest cakes. He took the two heaviest cakes home and closed the shop. Next morning he found that all the remaining cakes, which were of same weight, were stolen. How many cakes were stolen?Correct answer is '3'. Can you explain this answer?
    Question Description
    Mr. Baker runs a bakery shop. One day he made some cakes of different weights. The weight of the heaviest two was 25% of the total weight of all the cakes and the weight of the lightest 5 cakes was 45% the total weight of all cakes. By the end of the day, he was able to sell the 5 lightest cakes. He took the two heaviest cakes home and closed the shop. Next morning he found that all the remaining cakes, which were of same weight, were stolen. How many cakes were stolen?Correct answer is '3'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Mr. Baker runs a bakery shop. One day he made some cakes of different weights. The weight of the heaviest two was 25% of the total weight of all the cakes and the weight of the lightest 5 cakes was 45% the total weight of all cakes. By the end of the day, he was able to sell the 5 lightest cakes. He took the two heaviest cakes home and closed the shop. Next morning he found that all the remaining cakes, which were of same weight, were stolen. How many cakes were stolen?Correct answer is '3'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. Baker runs a bakery shop. One day he made some cakes of different weights. The weight of the heaviest two was 25% of the total weight of all the cakes and the weight of the lightest 5 cakes was 45% the total weight of all cakes. By the end of the day, he was able to sell the 5 lightest cakes. He took the two heaviest cakes home and closed the shop. Next morning he found that all the remaining cakes, which were of same weight, were stolen. How many cakes were stolen?Correct answer is '3'. Can you explain this answer?.
    Solutions for Mr. Baker runs a bakery shop. One day he made some cakes of different weights. The weight of the heaviest two was 25% of the total weight of all the cakes and the weight of the lightest 5 cakes was 45% the total weight of all cakes. By the end of the day, he was able to sell the 5 lightest cakes. He took the two heaviest cakes home and closed the shop. Next morning he found that all the remaining cakes, which were of same weight, were stolen. How many cakes were stolen?Correct answer is '3'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
    Here you can find the meaning of Mr. Baker runs a bakery shop. One day he made some cakes of different weights. The weight of the heaviest two was 25% of the total weight of all the cakes and the weight of the lightest 5 cakes was 45% the total weight of all cakes. By the end of the day, he was able to sell the 5 lightest cakes. He took the two heaviest cakes home and closed the shop. Next morning he found that all the remaining cakes, which were of same weight, were stolen. How many cakes were stolen?Correct answer is '3'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Mr. Baker runs a bakery shop. One day he made some cakes of different weights. The weight of the heaviest two was 25% of the total weight of all the cakes and the weight of the lightest 5 cakes was 45% the total weight of all cakes. By the end of the day, he was able to sell the 5 lightest cakes. He took the two heaviest cakes home and closed the shop. Next morning he found that all the remaining cakes, which were of same weight, were stolen. How many cakes were stolen?Correct answer is '3'. Can you explain this answer?, a detailed solution for Mr. Baker runs a bakery shop. One day he made some cakes of different weights. The weight of the heaviest two was 25% of the total weight of all the cakes and the weight of the lightest 5 cakes was 45% the total weight of all cakes. By the end of the day, he was able to sell the 5 lightest cakes. He took the two heaviest cakes home and closed the shop. Next morning he found that all the remaining cakes, which were of same weight, were stolen. How many cakes were stolen?Correct answer is '3'. Can you explain this answer? has been provided alongside types of Mr. Baker runs a bakery shop. One day he made some cakes of different weights. The weight of the heaviest two was 25% of the total weight of all the cakes and the weight of the lightest 5 cakes was 45% the total weight of all cakes. By the end of the day, he was able to sell the 5 lightest cakes. He took the two heaviest cakes home and closed the shop. Next morning he found that all the remaining cakes, which were of same weight, were stolen. How many cakes were stolen?Correct answer is '3'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Mr. Baker runs a bakery shop. One day he made some cakes of different weights. The weight of the heaviest two was 25% of the total weight of all the cakes and the weight of the lightest 5 cakes was 45% the total weight of all cakes. By the end of the day, he was able to sell the 5 lightest cakes. He took the two heaviest cakes home and closed the shop. Next morning he found that all the remaining cakes, which were of same weight, were stolen. How many cakes were stolen?Correct answer is '3'. Can you explain this answer? tests, examples and also practice CAT tests.
    Explore Courses for CAT exam

    Top Courses for CAT

    Explore Courses
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev