Is wale question mein se first wala question English mein please samjhaen mujhe dikhayen solve

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Answer

6\text{6}

Step-by-step solution

4 steps

  1. Understand the problem.

    Karishma has 30 apples, 24 bananas, and 12 oranges. She wants to make the maximum number of baskets such that each type of fruit is distributed equally among all baskets. This means we need to find the Highest Common Factor (HCF) of the number of fruits.

  2. Find the prime factorization of each number.

    30=2×3×530 = 2 \times 3 \times 5 24=2×2×2×3=23×324 = 2 \times 2 \times 2 \times 3 = 2^3 \times 3 12=2×2×3=22×312 = 2 \times 2 \times 3 = 2^2 \times 3

  3. Calculate the Highest Common Factor (HCF).

    To find the HCF, we multiply the common prime factors raised to their lowest powers.
    The common prime factors are 2 and 3.
    The lowest power of 2 is 212^1.
    The lowest power of 3 is 313^1.

    HCF=21×31=2×3=6HCF = 2^1 \times 3^1 = 2 \times 3 = 6

  4. State the maximum number of baskets.

    The maximum number of baskets Karishma can make is equal to the HCF.
    Maximum baskets = 6

    Karishma can make a maximum of 6\boxed{\text{6}} baskets.

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