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Application sums
1) A man takes to row 120 km along the stream is one-third of the time taken to row against the stream. Find the speed of the boat in still water if the speed of stream is 8 km/hr?
A) 16 km/hr
B) 20 km/hr
C) 18 km/hr
D) 14 km/hr
E) None of these
2) Â An article was sold at a discount of 25 % and there was a profit of 20 %. If the profit earned was Rs. 100 less than the discount offered, then find the selling price of the article?
A) Rs. 600
B) Rs. 700
C) Rs. 750
D) Rs. 650
E) None of these
3) A basket contains 7 White, 5 Black, 2 Pink and 4 Green balls. If three balls picked up random, then find the probability that all three are Green balls?
A) 1/204
B) 15/157
C) 37/218
D) 23/512
E) None of these
4)  5 years ago, the ages of Agila and Hema are in the ratio of 3: 2. Three years ago, Agila’s age is equal to Hema’s age after 2 years. Then find the present age Agila?
A) 20 years
B) 24 years
C) 26 years
D) 18 years
E) None of these
5) Â A can do a piece of work in 24 days; B can do it in 30 days. They started the work together but A left 6 days before the completion of the work. The work has finished in?
A) 12 days
B) 15 days
C) 25/3 days
D) 50/3 days
E) None of these
Data interpretation
Directions (06 – 10): Study the following information carefully and answer the given questions.
The following pie chart shows the total number of students in 6 different schools and the table shows the percentage of girls out of the total number of students in the respective schools.
6) Find the difference between the total number of boys in School P to that of total number of girls in School R?
A) 1368
B) 1892
C) 1456
D) 1575
E) None of these
7) Find the average number of girls in School P, Q and S together?
A) 5040
B) 5180
C) 4890
D) 4560
E) None of these
8) Find the ratio between the total number of students in School R to that of total number of boys in School T?
A) 8: 7
B) 15: 14
C) 23: 21
D) 32: 29
E) None of these
9) The total number of girls in School U is approximately what percentage of total number of boys in School Q?
A) 110 %
B) 95 %
C) 135 %
D) 70 %
E) 120 %
10) Find the central angle for School T?
A) 720
B) 800
C) 660
D) 840
E) None of these
Answers :
Directions (1-5) :
1) Answer: A
Let us take the speed of the boat in still water be x km/hr,
120/(x+8) = (1/3)*(120/(x-8))
3x – 24 = x + 8
2x = 32
X = 16
Speed of the boat in still water = 16 km/hr
2) Answer: A
Let the cost price be x,
Selling price = (120/100)*x = 6x/5
Marked price*(75/100) = 6x/5
MP = 8x/5
The profit earned was Rs.100 less than the discount,
According to the question,
= > (8x/5 – 6x/5) – (6x/5 – x) = 100
= > 2x/5 – x/5 = 100
= > x/5 = 100
Cost price = Rs. 500
Selling price = 500*(120/100) = Rs. 600
3) Answer: A
Total Balls = 18
Required Probability = 4C3 / 18C3 = 1/204
4) Answer: A
5 years ago, Agila: Hema = 3: 2 (3x, 2x)
Present ages of Agila and Hema = 3x + 5, 2x + 5
Three years ago, Agila’s age is equal to Hema’s age after 2 years,
= > 3x + 2 = 2x + 7
= > x = 5
Present age of Agila = 3x + 5 = 20 years
5) Answer: D
(x – 6)/24 + x/30 = 1
(30x – 180 + 24x)/720 = 1
54x – 180 = 720
54x = 900
X = 900/54 = 50/3 days
Directions (06 – 10): Â
6) Answer: A
The total number of boys in School P
= > 60000*(15/100)*(52/100) = 4680
The total number of girls in School R
= > 60000*(12/100)*(46/100) = 3312
Required difference = 4680 – 3312 = 1368
7) Answer: A
The total number of girls in School P, Q and S together
= > 60000*(15/100)*(48/100) + 60000*(18/100)*(52/100) + 60000*(16/100)*(54/100)
= > 4320 + 5616 + 5184 = 15120
Required average = 15120/3 = 5040
8) Answer: B
The total number of students in School R
= > 60000*(12/100) = 7200
The total number of boys in School T
= > 60000*(20/100)*(56/100) = 6720
Required ratio = 7200: 6720 = 15: 14
9) Answer: A
The total number of girls in School U
= > 60000*(19/100)*(50/100) = 5700
The total number of boys in School Q
= > 60000*(18/100)*(48/100) = 5184
Required % = (5700/5184)*100 = 110 %
10) Answer: A
The central angle for School T
= > (20/100)*360 = 720
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