356. If ₹ 1000 is divided between A and B in the ratio 3 : 2, then A will receive

1. 1. ₹ 400

   
   
   

   2. ₹ 500

   
   
   

   3. ₹ 600

   
   
   

   4. ₹ 800

   
   
   

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1. View Hint View Answer Discuss in Forum

   A’s share
   

   = ₹		3	× 1000		= ₹ 600
   		5

   
   Second Method :
   

   Part of A=	m	× R
   	m + n

   
   

   =	3	× 1000 = ₹ 600
   	3 + 2

   Correct Option: C

   A’s share
   

   = ₹		3	× 1000		= ₹ 600
   		5

   
   Second Method :
   

   Part of A=	m	× R
   	m + n

   
   

   =	3	× 1000 = ₹ 600
   	3 + 2

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357. If W₁ : W₂ = 2 : 3 and W₁ : W₃ = 1 : 2 then W₂ : W₃ is

1. 1. 3 : 4

   
   
   

   2. 4 : 3

   
   
   

   3. 2 : 3

   
   
   

   4. 4 : 5

   
   
   

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1. View Hint View Answer Discuss in Forum

   W1	=	2
   W2		3

   
   

   ⇒	W2	=	3	and	W1	=	1
   	W1		2		W3		2

   
   

   ∴	W2	×	W1	=	W2	=	3	×	1	=	3
   	W1		W3		W3		2		2		4

   
   = 3 : 4

   Correct Option: A

   W1	=	2
   W2		3

   
   

   ⇒	W2	=	3	and	W1	=	1
   	W1		2		W3		2

   
   

   ∴	W2	×	W1	=	W2	=	3	×	1	=	3
   	W1		W3		W3		2		2		4

   
   = 3 : 4

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358. If 3x = 5y = 4z, then x : y : z is equal to

1. 1. 9 : 12 : 16

   
   
   

   2. 20 : 12 : 15

   
   
   

   3. 15 : 10 : 9

   
   
   

   4. 8 : 5 : 3

   
   
   

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1. View Hint View Answer Discuss in Forum

   3x = 5y = 4z
   LCM of 3, 5 and 4 = 60
   

   ∴	3x	=	5y	=	4z
   	60		60		60

   
   ⇒ 
   

   ⇒	x	=	y	=	z
   	20		12		15

   
   ∴  x : y : z = 20 : 12 : 15

   Correct Option: B

   3x = 5y = 4z
   LCM of 3, 5 and 4 = 60
   

   ∴	3x	=	5y	=	4z
   	60		60		60

   
   ⇒ 
   

   ⇒	x	=	y	=	z
   	20		12		15

   
   ∴  x : y : z = 20 : 12 : 15

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359. If A : B = 3 : 4 and B : C = 6 : 5, then A : (A + C) is equal to

1. 1. 9 : 10

   
   
   

   2. 10 : 9

   
   
   

   3. 9 : 19

   
   
   

   4. 19 : 9

   
   
   

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1. View Hint View Answer Discuss in Forum

   ⇒	A	=	9	⇒	C	=	10
   	C		10		A		9

   
   

   ⇒	C	+ 1 =	10	+ 1
   	A		9

   
   

   =	C + A	=	10 + 9	=	19
   	A		9		9

   
   ⇒  A : (A + C) = 9 : 19

   Correct Option: C

   ⇒	A	=	9	⇒	C	=	10
   	C		10		A		9

   
   

   ⇒	C	+ 1 =	10	+ 1
   	A		9

   
   

   =	C + A	=	10 + 9	=	19
   	A		9		9

   
   ⇒  A : (A + C) = 9 : 19

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360. If a and b are rational numbers

     a + b √3 =	1	, then a : b is equal to
     	2 − √3

1. 1. – 2 : 1

   
   
   

   2. 2 : 1

   
   
   

   3. √3 : 1

   
   
   

   4. − √3 : 1

   
   
   

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1. View Hint View Answer Discuss in Forum

   a + b √3
   

   =	1	= 2 + √3
   	2 − √3

   
   (After rationalising)
   ⇒  a = 2 and b = 1
   ∴  a : b = 2 : 1

   Correct Option: B

   a + b √3
   

   =	1	= 2 + √3
   	2 − √3

   
   (After rationalising)
   ⇒  a = 2 and b = 1
   ∴  a : b = 2 : 1

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