If 7 : 8 :: x : 24, value of x is

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RRB TC CC Exam (Patna) 2006 click here to view all questions

If 7 : 8 :: x : 24, value of x is

A20

B21

C20.5

D21.6

Akilesh Kharvi ? Nov 5 '2016 at 10:6

Answer is : 21

If four numbers p, q, r and s are in proportion, then p and s are called the extreme terms and q and r are called the middle terms. Then, the product of extreme terms (i.e. p × s) is equal to the product of middle terms (i.e. r × s). 
Therefore, p : q : : r : s ⇒ ps = qr

According to the given statement,
7 : 8 = x : 24
⇒ 8*x= 7 × 24
⇒ x = \((7 × 24)\over8\)
⇒ x = 21

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Answer is : 21 If four numbers p, q, r and s are in proportion, then p and s are called the extreme terms and q and r are called the middle terms. Then, the product of extreme terms (i.e. p × s) is equal to the product of middle terms (i.e. r × s).  Therefore, p : q : : r : s ⇒ ps = qr According to the given statement, 7 : 8 = x : 24 ⇒ 8*x= 7 × 24 ⇒ x = \((7 × 24)\over8\) ⇒ x = 21 Akilesh Kharvi ? answered Nov 5 '2016 at 10:6 All Comments

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