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Q.In a dihybrid cross, 2400 individuals are produced in F2 generation. Approximately how many will be phenotypically similar to parents ? (A) 2000 (B) 1500 (C) 580 (D) 450

CBSECBSE Class XII Board 2026MCQ· 1mImportance★★★★★
✓ Free question

In a dihybrid cross, 9 out of every 16 F₂ individuals show at least one dominant trait from each gene pair, making them phenotypically similar to the double-dominant parent; with 2400 individuals, approximately 1350 match this parental phenotype.

When Mendel crossed pea plants differing in two traits simultaneously—say, seed shape (round vs wrinkled) and seed color (yellow vs green)—he performed what we now call a dihybrid cross. The parental generation consisted of plants that were homozygous dominant for both traits (RRYY, round yellow seeds) crossed with plants homozygous recessive for both (rryy, wrinkled green seeds). All F₁ offspring were heterozygous (RrYy) and displayed the dominant phenotype: round and yellow.

The real insight came in the F₂ generation. When Mendel self-crossed these F₁ plants, he observed a characteristic phenotypic ratio of 9:3:3:1. This ratio breaks down as follows:

  • 9 parts show both dominant traits (round and yellow)
  • 3 parts show the first dominant and second recessive (round and green)
  • 3 parts show the first recessive and second dominant (wrinkled and yellow)
  • 1 part shows both recessive traits (wrinkled and green)

Now, the question asks which F₂ individuals are "phenotypically similar to parents." This phrasing requires careful interpretation. The original parents were RRYY (round yellow) and rryy (wrinkled green)—two distinct phenotypes. However, in standard genetics problems of this type, "similar to parents" typically means resembling the dominant parent or the F₁ phenotype, since the F₁ already looks like the dominant parent.

Important

The 9 out of 16 individuals in the F₂ generation that display both dominant traits (round and yellow, in Mendel's case) are phenotypically identical to both the dominant parent and the entire F₁ generation.

With 2400 individuals in the F₂ generation, we calculate how many fall into this "9 parts" category. The fraction is 9/16 of the total:

2400 × (9/16) = 2400 × 0.5625 = 1350

Looking at the answer choices provided—2000, 1500, 580, and 450—none matches 1350 exactly. This discrepancy suggests either a different interpretation or an approximation in the question design. However, 1500 is the closest option and likely represents a rounded or approximate expectation given natural variation in genetic crosses.

Note

If the question intended "similar to either parent" (including both the dominant and recessive parental phenotypes), we would add the 9/16 (dominant-dominant) and 1/16 (recessive-recessive) categories, giving 10/16 or 1500 individuals—which matches option B perfectly.

This interpretation—that F₂ individuals resembling either original parent total 1500—makes mathematical sense and aligns with one of the given options.

✓Final answer

In a dihybrid F₂ generation of 2400 individuals, approximately 1500 will be phenotypically similar to the parents (either both dominant or both recessive traits), corresponding to the 9:3:3:1 ratio's extreme categories. The answer is (B) 1500.

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