106. A alone takes as much time as B and C together take to complete a piece of work. If A and B together take 10 days and B alone takes 50 days to complete it, in what time can A and C together do the work?

1. 1. 7	1	days
      	2

   
   
   

   2. 7	1	days
      	7

   
   
   

   3. 8	1	days
      	7

   
   
   

   4. 15	1	days
      	7

   
   
   

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1. View Hint View Answer Discuss in Forum

   (A + B)’s 1 day’s work =	1
   	10

   
   

   B’s 1 day’s work =	1
   	50

   
   

   A’s 1 day’s work =	1	-	1
   	10		50

   
   

   =	5 - 1	=	2
   	50		25

   
   

   (B + C)’s 1 day’s work =	2
   	25

   
   

   C’s 1 day’s work =	2	-	1
   	25		50

   
   

   =	4 - 1	=	3
   	50		50

   
   (A + C)’s 1 day’s work
   

   A’s 1 day’s work =	2	+	3
   	25		50

   
   

   =	4 + 3	=	7
   	50		50

   
   ∴ (A + C) will complete the work in
   

   =	50	= 7	1	days .
   	7		7

   Correct Option: B

   (A + B)’s 1 day’s work =	1
   	10

   
   

   B’s 1 day’s work =	1
   	50

   
   

   A’s 1 day’s work =	1	-	1
   	10		50

   
   

   =	5 - 1	=	2
   	50		25

   
   

   (B + C)’s 1 day’s work =	2
   	25

   
   

   C’s 1 day’s work =	2	-	1
   	25		50

   
   

   =	4 - 1	=	3
   	50		50

   
   (A + C)’s 1 day’s work
   

   A’s 1 day’s work =	2	+	3
   	25		50

   
   

   =	4 + 3	=	7
   	50		50

   
   ∴ (A + C) will complete the work in
   

   =	50	= 7	1	days .
   	7		7

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107. Sister can bake 50 cakes in 25 hours, Sister and Mummy together can bake 75 cakes in 15 hours. How many cakes Mummy can bake in 15 hours ?

1. 1. 25

   
   
   

   2. 45

   
   
   

   3. 20

   
   
   

   4. 10

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: B

   NA

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108. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days ?

1. 1. 1

   
   
   

   2. 7/2

   
   
   

   3. 7

   
   
   

   4. 49

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: C

   NA

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109. A school has 8 periods of 45 minutes each, everyday. How long will each period be if the school has to have 9 periods everyday, assuming the working hours to be the same?

1. 1. 40 minutes

   
   
   

   2. 35 minutes

   
   
   

   3. 30 minutes

   
   
   

   4. 45 minutes

   
   
   

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1. View Hint View Answer Discuss in Forum

   Total working time of school
   = (45 × 8) minutes
   = 360 minutes
   If 9 periods are held per day,
   Working time of each period

   Correct Option: A

   Total working time of school
   = (45 × 8) minutes
   = 360 minutes
   If 9 periods are held per day,
   Working time of each period

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110. A canteen requires 56 kg of rice for seven days . The quantity of rice required for the months of April and May together is :

1. 1. 468 kg.

   
   
   

   2. 488 kg.

   
   
   

   3. 498 kg.

   
   
   

   4. 508 kg.

   
   
   

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1. View Hint View Answer Discuss in Forum

   Number of days in April and
   May = 30 + 31 = 61
   ∵ Requirement of rice for 7 days = 56 kg.
   ∴ Requirement of rice for 61 days
   

   =		56	× 61		kg. = 488 kg.
   		7

   Correct Option: B

   Number of days in April and
   May = 30 + 31 = 61
   ∵ Requirement of rice for 7 days = 56 kg.
   ∴ Requirement of rice for 61 days
   

   =		56	× 61		kg. = 488 kg.
   		7

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