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In a small sweet shop people usually buy...

In a small sweet shop people usually buy either one cake or one box of chocolate. One day the shop sold 57 cakes and 36 boxes of chocolates. How many customers were there that day if 12 people bought both a cake and a box of chocolates?

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The correct Answer is:
To solve the problem step by step, we can follow these steps: ### Step 1: Identify the given values - Number of cakes sold (N(C)) = 57 - Number of boxes of chocolates sold (N(CH)) = 36 - Number of people who bought both cakes and chocolates (N(C ∩ CH)) = 12 ### Step 2: Use the formula for the union of two sets We need to find the total number of customers (N(C ∪ CH)), which can be calculated using the formula: \[ N(C ∪ CH) = N(C) + N(CH) - N(C ∩ CH) \] ### Step 3: Substitute the values into the formula Now, we substitute the values we have into the formula: \[ N(C ∪ CH) = 57 + 36 - 12 \] ### Step 4: Perform the calculations First, add the number of cakes and chocolates: \[ 57 + 36 = 93 \] Then, subtract the number of people who bought both: \[ 93 - 12 = 81 \] ### Step 5: Conclusion Thus, the total number of customers that day is: \[ N(C ∪ CH) = 81 \] ### Final Answer The total number of customers that day is **81**. ---
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Read the following information carefully to answer the questions based on it. A, B, C, D, P, Q, R and S sit in a twoparallel row. Four people in each row. People seated in row-1 face towards the south and people seated in row-2 face towards north. People seated in row-1 face people seated in row-2. All people have a different number of chocolates. Q has 8 chocolates less than R. The one who has 10 chocolates faces the one who has 13 chocolates. One person sits between P and C who has 22 chocolates. P faces the one who sits immediate left of A . S has fewer chocolates than A. A does not like 13 chocolates. One person sits between A and D. Three people sit to the left of the one who faces Q who faces towards the north. The one who has 38 chocolates sits immediately to the right of R. S has thrice as many chocolates as Q has. A has 8 chocolates more than P. The sum of the total number of chocolates having the people sitting in row-1 is 86. One person sits between S and the one who sits opposite the person who has 38 chocolates. Two people sit between the one who has 13 chocolates and Q. Who amongst the following sits second to the left of the person having 24 chocolates?

Read the following information carefully to answer the questions based on it. A, B, C, D, P, Q, R and S sit in a twoparallel row. Four people in each row. People seated in row-1 face towards the south and people seated in row-2 face towards north. People seated in row-1 face people seated in row-2. All people have a different number of chocolates. Q has 8 chocolates less than R. The one who has 10 chocolates faces the one who has 13 chocolates. One person sits between P and C who has 22 chocolates. P faces the one who sits immediate left of A . S has fewer chocolates than A. A does not like 13 chocolates. One person sits between A and D. Three people sit to the left of the one who faces Q who faces towards the north. The one who has 38 chocolates sits immediately to the right of R. S has thrice as many chocolates as Q has. A has 8 chocolates more than P. The sum of the total number of chocolates having the people sitting in row-1 is 86. One person sits between S and the one who sits opposite the person who has 38 chocolates. Two people sit between the one who has 13 chocolates and Q. What is the sum of the number of chocolates Q and S have?

Knowledge Check

  • Six boxes A,B,C,D,E and F are placed in a stack one above other. Each contains different number of chocolates viz. 300,240,169,225,330 and 260 . Box A is placed immediately above box C. Three boxes placed between C and the box which contains 300 chocolates. box whcih have 225 chocolates is just above the box which have 300 chocolates. one box placed between box E and the box which have 225 chocolates. F contains 260 chocolates. the box which contain 169 chocolates is placed below box F. three boxes placed between box E and the box which have 169 chocolates. one box is placed between box B and the box which have 240 chocolates. How many boxes are placed between box B and the box which have 169 chocolates ?

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    two
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    three
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  • Read the following information carefully to answer the questions based on it. A, B, C, D, P, Q, R and S sit in a twoparallel row. Four people in each row. People seated in row-1 face towards the south and people seated in row-2 face towards north. People seated in row-1 face people seated in row-2. All people have a different number of chocolates. Q has 8 chocolates less than R. The one who has 10 chocolates faces the one who has 13 chocolates. One person sits between P and C who has 22 chocolates. P faces the one who sits immediate left of A . S has fewer chocolates than A. A does not like 13 chocolates. One person sits between A and D. Three people sit to the left of the one who faces Q who faces towards the north. The one who has 38 chocolates sits immediately to the right of R. S has thrice as many chocolates as Q has. A has 8 chocolates more than P. The sum of the total number of chocolates having the people sitting in row-1 is 86. One person sits between S and the one who sits opposite the person who has 38 chocolates. Two people sit between the one who has 13 chocolates and Q. If P gives 5 chocolates to R and C lends 4 chocolates to B. Then how many chocolates R and B would have?

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  • Read the following information carefully to answer the questions based on it. A, B, C, D, P, Q, R and S sit in a twoparallel row. Four people in each row. People seated in row-1 face towards the south and people seated in row-2 face towards north. People seated in row-1 face people seated in row-2. All people have a different number of chocolates. Q has 8 chocolates less than R. The one who has 10 chocolates faces the one who has 13 chocolates. One person sits between P and C who has 22 chocolates. P faces the one who sits immediate left of A . S has fewer chocolates than A. A does not like 13 chocolates. One person sits between A and D. Three people sit to the left of the one who faces Q who faces towards the north. The one who has 38 chocolates sits immediately to the right of R. S has thrice as many chocolates as Q has. A has 8 chocolates more than P. The sum of the total number of chocolates having the people sitting in row-1 is 86. One person sits between S and the one who sits opposite the person who has 38 chocolates. Two people sit between the one who has 13 chocolates and Q. The number of people sitting to the right of the one who has 8 chocolates is same as the number of people sitting to the right of__.

    A
    C
    B
    D
    C
    B
    D
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