Out of \(‘X ’\) pairs of ribs in humans only \(‘Y' \) pairs are true ribs. Select the option that correctly represents values of \(X\) and \(Y\) and provides their explanation.

A \(X = 12, Y = 5 ⇒\) True ribs are attacheddorsally to vertebral column and sternum on the two ends
B \(X = 24, Y = 2 ⇒\) The true ribs aredorsally attached to vertebral column but are free on ventral side
C \(X = 24, Y = 12 ⇒\) True ribs are dorsallyattached to vertebral column but are free on ventral side
D \(X = 12, Y = 7 ⇒\) True ribs are attacheddorsally to vertebral column and ventrally to the sternum

Verified Solution

Answer & Solution

Correct Answer

(D) \(X = 12, Y = 7 ⇒\) True ribs are attacheddorsally to vertebral column and ventrally to the sternum

Step-by-step Solution

Detailed explanation

(d)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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Match the items given in Column \(I\) with those in Column \(II\) and select the correct option given below:

Column-\(I\)	Column-\(II\)
\((a)\) Tricuspid valve	\((i)\) Between left atrium and left ventricle
\((b)\) Bicuspid valve	\((ii)\) Between right ventricle and pulmonary artery
\((c)\) Semilunar valve	\((iii)\) Between right atrium and right ventricle

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Organisms	Thelr respective characteristics
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(c) Pleurobrachla	(iii) Radula
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