336. Instead of dividing ₹ 117 among P, Q, R in the ratio	1	:	1	:	1	,
     	2		3		4

     by mistake it was divided in the ratio 2 : 3: 4. Who gained in the transaction ?

1. 1. Only P

   
   
   

   2. Only Q

   
   
   

   3. Only R

   
   
   

   4. Both Q and R

   
   
   

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1. View Hint View Answer Discuss in Forum

   Case I,
   

   P : Q : R =	1	:	1	:	1
   	2		3		4

   
   Case II,
   P : Q : R = 2 : 3 : 4
   Clearly, R will gain.

   Correct Option: C

   Case I,
   

   P : Q : R =	1	:	1	:	1
   	2		3		4

   
   Case II,
   P : Q : R = 2 : 3 : 4
   Clearly, R will gain.

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337. Same quantity of rice is required for each member of a family of 15 members. On a particular day, due to the absence of some members of the family, the consumption of rice was reduced in the ratio 5 : 3. The number of members absent on that day was

1. 1. 3

   
   
   

   2. 6

   
   
   

   3. 8

   
   
   

   4. 9

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given ratio is total members : absentees = 5 : 3
   

   i.e.	3
   	5

   
   Hence, Number of persons absent
   

   =	3	× 15 = 9
   	5

   Correct Option: D

   Given ratio is total members : absentees = 5 : 3
   

   i.e.	3
   	5

   
   Hence, Number of persons absent
   

   =	3	× 15 = 9
   	5

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338. Tea worth ₹ 126 per kg and ₹ 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth ₹ 153 per kg, the price of the third variety per kg will be

1. 1. ₹ 175.5

   
   
   

   2. ₹ 180.0

   
   
   

   3. ₹ 169.5

   
   
   

   4. ₹ 170.0

   
   
   

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1. View Hint View Answer Discuss in Forum

   Price of the third variety = x per kg.
   ∴  126 + 135 + 2x = 4 × 153
   ⇒  261 + 2x = 612
   ⇒  2x = 612 – 261 = 351
   

   ⇒  x =	351	= ₹ 175.5
   	2

   Correct Option: A

   Price of the third variety = x per kg.
   ∴  126 + 135 + 2x = 4 × 153
   ⇒  261 + 2x = 612
   ⇒  2x = 612 – 261 = 351
   

   ⇒  x =	351	= ₹ 175.5
   	2

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339. Two numbers are in the ratio 17 : 45. One-third of the smaller is less than 1/5 of the bigger by 15. The smaller number is

1. 1. 25	1
      	2

   
   
   

   2. 67	1
      	2

   
   
   

   3. 76	1
      	2

   
   
   

   4. 86	1
      	2

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the numbers be 17x and 45x respectively.
   According to the question,
   

   1	of 45x –	1	of 17x = 15
   5		3

   
   

   ⇒  9x −	17x	= 15
   	3

   
   

   ⇒	27x − 17x	= 15
   	3

   
   ⇒  10x = 15 × 3
   

   ⇒  x =	15 × 3	=	9
   	10		2

   
   ∴  The required number
   

   = 17x =	17 × 9	=	153	= 76	1
   	2		2		2

   Correct Option: C

   Let the numbers be 17x and 45x respectively.
   According to the question,
   

   1	of 45x –	1	of 17x = 15
   5		3

   
   

   ⇒  9x −	17x	= 15
   	3

   
   

   ⇒	27x − 17x	= 15
   	3

   
   ⇒  10x = 15 × 3
   

   ⇒  x =	15 × 3	=	9
   	10		2

   
   ∴  The required number
   

   = 17x =	17 × 9	=	153	= 76	1
   	2		2		2

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340. The smallest integer, which subtracted from both the terms of 6 : 7 gives a ratio less than 16 : 21, is :

1. 1. 5

   
   
   

   2. 4

   
   
   

   3. 3

   
   
   

   4. 2

   
   
   

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1. View Hint View Answer Discuss in Forum

   Required answer
   

   6 − x	<	16
   7 − x		21

   
   Check through options
   

   =	6 − 3	=	3	<	16
   	7 − 3		4		21

   Correct Option: C

   Required answer
   

   6 − x	<	16
   7 − x		21

   
   Check through options
   

   =	6 − 3	=	3	<	16
   	7 − 3		4		21

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