Skip to content

Khushi wants to organize… (Class 10 Maths Basic 2023, Q37)

questionbuddy.in/q/cbse-10-maths-2023-430-4-1-q37-khushi-wants-organize-her-birthday

MathsCBSE Class 10 · Basic · Board exam 2023, set 430/4/1 · 4 marks · Case-based

CBSE Class 10 Mathematics Basic 2023: question 37

Set in the CBSE Class 10 board exam of 2023, paper 430/4/1, section E, question 37, for 4 marks. Try it first; the hints and our step-by-step solution are below.

Q37 · 4 marks · Case-basedCompetency-basedReal Numbers

Khushi wants to organize her birthday party. Being health conscious, she decided to serve only fruits in her birthday party. She bought apples and bananas and decided to distribute fruits equally among all.

Based on the above information, answer the following questions:

  1. (i)

    How many guests Khushi can invite at the most?

    1 mark
  2. (ii)

    How many apples and bananas will each guest get?

    1 mark
  3. (iii)(a)

    If Khushi decides to add mangoes, how many guests Khushi can invite at the most?

    2 marks

  4. OR

    (iii)(b)

    If the cost of dozen of bananas is ₹ , the cost of apple is ₹ and cost of mango is ₹ , find the total amount spent on bananas, apples and mangoes.

    2 marks

Figure in the paper: A photograph of a basket containing apples, bananas and other fruits, with bananas at the top and apples in the lower part of the basket. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/4/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Each guest must get an equal share of every fruit, so the number of guests must divide each quantity exactly.

Hint 2

The greatest number that divides all the quantities is their HCF. Use prime factorisation.

Hint 3

For the cost, convert 60 bananas into dozens first.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. (i) The largest number of guests is the HCF of 36 and 60.

    and , so HCF .

    Khushi can invite at most 12 guests.

    1 mark

  2. (ii) Apples per guest and bananas per guest .

    Each guest gets 3 apples and 5 bananas.

    1 mark

  3. (iii)(a) . Using the factorisations above, HCF.

    Khushi can invite at most 6 guests.

    2 marks

  4. (iii)(b) 60 bananas dozen. Total cost

    1 mark

  5. (iii)(b) Total amount spent ₹

    1 mark

Answer: (i) 12 guests; (ii) 3 apples and 5 bananas each; (iii)(a) 6 guests; (iii)(b) ₹1680

Where the marks are

  • (i) HCF(36, 60) = 12, so 12 guests (1 mark)
  • (ii) 3 apples and 5 bananas per guest (1 mark)
  • (iii)(a) HCF(36, 60, 42) = 6, so 6 guests (2 marks)
  • (iii)(b) Correct cost expression 5 × 60 + 36 × 15 + 42 × 20 (1 mark)
  • (iii)(b) Total = ₹1680 (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Real Numbers, one at a time, marked against the answer key and marking points.Back to the full paper2023 board paper, set 430/4/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.