Ratio and Proportion in Hindi Questions

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Ratio and Proportion Questions in Hindi

Q.6. यदि W1: W2 = 2:3 तथा W1:W3= 1:2 हो, तो W2:W3 =?

(A) 3:4

(B) 4:3

(C) 2:2

(D) 4:5


Ans .   A


$${W2\over W3}= \left({W2\over W1}×{W1\over W3} \right)$$

 $$ =\left({3\over 2}×{1\over 2} \right)= {3\over 4}⇒W1:W2 = 3:4$$
 

Q.7. यदि 2A = 3B तथा 4B = 5C हो तो A:C =?

(A) 4:3

(B) 8:15

(C) 3:4

(D) 15:8


Ans .  D


$$ \left( 2A=3B⇒{A\over B}={3\over 2} \right),\left( 4B=5C⇒{B\over C}={5\over 4} \right)  $$

$$∴ \ {A\over C}=\left( {A\over B}×{B\over C} \right)$$ 

  $$=\left({3\over 2}×{5\over 4}\right)=\left( {15\over 8}\right)⇒A:C=15:8 $$
 

Q.8. यदि A:B=3:2 तथा B:C=3:4 हो, तो A:C =?

(A) 1:2

(B) 2:1

(C) 8:9

(D) 9:8


Ans .   D


$${A\over C}= \left({A\over B}×{B\over C} \right)$$

  $$= \left({3\over 2}×{3\over 4} \right)= {9\over 8}⇒A:C = 9:8$$
 

Q.9. यदि a:b = 7:9  तथा b:c = 1:5 हो, तो a:b:c =?

(A) 7:9:45

(B) 7:9:5

(C) 21:35:45

(D) 7:3:15


Ans .  A


 $$a:b = 7:9 = {7\over 9}:1, b:c = 1:5$$

   $$⇒ a:b:c ={7\over 9}:1:5= 7:9:45 $$
 

Q.10. यदि a:b = 3:4 तथा b:c=8:9 हो, तो a:c =?

(A) 1:2

(B) 3:2

(C) 1:3

(D) 2:3


Ans .   D


 $${a\over c}= \left({a\over b}×{b\over c} \right)$$

  $$ =\left({3\over 4}×{8\over 9} \right)= {2\over 3}⇒a:c = 2:3$$

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