Test-Series - numerical

Test Number 14/39

Q: Find out the wrong number in the given sequence of numbers. 36, 54, 18, 27, 9, 18.5, 4.5
A. 4.5
B.  18.5
C. 54
D.  18
Solution: The terms are alternatively multiplied by 1.5 and divided by 3. However, 18.5 does not satisfy it.
The correct answer is: B) 18.5
Q: How much does a watch lose per day, if its hands coincide ever 64 minutes?
A. 32 8/11
B.  33 8/11
C.  34 8/11
D.  35 8/11
Solution: 55min spaces are covered in 60min 60 min. spaces are covered in (60/55 x 60) min= 65+5/11 min. loss in 64min=(65+5/11)- 64 =16/11 Loss in 24 hrs (16/11 x 1/64 x 24 x 60) min= 32 8/11.
The correct answer is: A) 32 8/11
Q: At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?
A.  30 points
B.  20 points
C. 10 points
D.  12 points
Solution: A : B = 60 : 45.   A : C = 60 : 40.   B/C = (B/A*A/C) = (45/60*60/45) = 45/40 = 90/80 = 90:80   B can give C 10 points in a game of 90.
The correct answer is: C) 10 points
Q: The cost of fencing a square field @ Rs. 20 per metre is Rs.10.080.How much will it cost to lay a three meter wide pavement along the fencing inside the field @ Rs. 50 per sq m
A.  53800
B.  43800
C.  83800
D. 73800
Solution: perimeter = total cost / cost per m = 10080 /20 = 504mside of the square = 504/4 = 126mbreadth of the pavement = 3mside of inner square = 126 - 6 = 120marea of the pavement = (126 x126) - (120 x 120) = 246 x 6 sq mcost of pavement = 246*6*50 = Rs. 73800
The correct answer is: D) 73800
Q: From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:
A.  15
B. 16
C. 25
D. 31
Solution: Let quantity of mixture be x liters.   Suppose a container contains x units of liquid from which y units are taken out and replaced by Water. After operations , the quantity of pure liquid = x1-yxn units, Where n = no of operations .    So, Quantity of Milk = x1-6x2     Given that, Milk : Water = 9 : 16    => Milk : (Milk + Water) = 9 : (9+16)   => Milk : Mixture = 9 : 25     Therefore, x1-6x2x=925   => x = 15 liters
The correct answer is: A) 15
Q: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ?
A. 5:3
B. 1:4
C. 4:1
D.  9:1
Solution: Milk = 3/5 x 20 = 12 liters, water = 8 liters   If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.   Remaining milk = 12 - 6 = 6 liters Remaining water = 8 - 4 = 4 liters   10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.   The ratio of milk and water in the new mixture = 16:4 = 4:1   If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 x 10 = 8 liters.   Amount of water removed = 2 liters.   Remaining milk = (16 - 8) = 8 liters. Remaining water = (4 -2) = 2 liters.   Now 10 lts milk is added => total milk = 18 lts   The required ratio of milk and water in the final mixture obtained   = (8 + 10):2 = 18:2 = 9:1.
The correct answer is: D) 9:1
QUESTION 14
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Question text
A certain am
Q: 
A. 
B. 
C. 
D. 
Solution: 
Q: How much does a watch lose per day, if its hands coincide ever 64 minutes?
A.  32 8/11
B.  33 8/11
C.  34 8/11
D. 35 8/11
Solution: 55min spaces are covered in 60min 60 min. spaces are covered in (60/55 x 60) min= 65+5/11 min. loss in 64min=(65+5/11)- 64 =16/11 Loss in 24 hrs (16/11 x 1/64 x 24 x 60) min= 32 8/11.
The correct answer is: A) 32 8/11
Q: At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?
A.  30 points
B. 20 points
C. 10 points
D. 12 points
Solution: A : B = 60 : 45.   A : C = 60 : 40.   B/C = (B/A*A/C) = (45/60*60/45) = 45/40 = 90/80 = 90:80   B can give C 10 points in a game of 90.
The correct answer is: C) 10 points
Q: Find out the wrong number in the given sequence of numbers. 36, 54, 18, 27, 9, 18.5, 4.5
A. 4.5
B.  18.5
C.  54
D.  18
Solution: The terms are alternatively multiplied by 1.5 and divided by 3. However, 18.5 does not satisfy it.
The correct answer is: B) 18.5
Q: The cost of fencing a square field @ Rs. 20 per metre is Rs.10.080.How much will it cost to lay a three meter wide pavement along the fencing inside the field @ Rs. 50 per sq m
A. 53800
B. 43800
C.  83800
D.  73800
Solution: perimeter = total cost / cost per m = 10080 /20 = 504mside of the square = 504/4 = 126mbreadth of the pavement = 3mside of inner square = 126 - 6 = 120marea of the pavement = (126 x126) - (120 x 120) = 246 x 6 sq mcost of pavement = 246*6*50 = Rs. 73800
The correct answer is: D) 73800
Q: From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:
A. 15
B.  16
C.  25
D. 31
Solution: Let quantity of mixture be x liters.   Suppose a container contains x units of liquid from which y units are taken out and replaced by Water. After operations , the quantity of pure liquid = x1-yxn units, Where n = no of operations .    So, Quantity of Milk = x1-6x2     Given that, Milk : Water = 9 : 16    => Milk : (Milk + Water) = 9 : (9+16)   => Milk : Mixture = 9 : 25     Therefore, x1-6x2x=925   => x = 15 liters
The correct answer is: A) 15

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