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Inequality
Directions (Q. 1 – 5): Each question contains a statement followed by Quantity I and Quantity II. Read the contents clearly and give answer as,
a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established
1) Quantity I: The present age of Asha is 12 years more the present age of Rahul. After 5 years the ratio of ages of Rahul and Asha will be 3: 5, then find the age of Rahul, after 2 years?
Quantity II: The present age of Naveen is twice the present age of Priya. The ratio between the present ages of Gowrish and Priya is 7: 4. If the age of Naveen after 6 years will be 30 years, then find the age of Gowrish before 6 years?
2) A started the business investing Rs. 19000 and after 6 months B joined him with Rs. 28000. At the end of one year the total profit is Rs.16500.
Quantity I: A’s profit share?
Quantity II: B’s profit share?
3) Quantity I: Two trains running the same direction at the speed of 60kmph and 80kmph respectively. If the length of the trains is 200m and 100m respectively, then find the time taken by first train crosses the second train?
Quantity II: If the train A crosses the pole in 18 seconds at the speed of 60kmph and the same train crosses the 700m long train which is running opposite direction of train A at the speed of 20kmph, then find the time taken by train A crosses the another train?
4) Quantity I: Time taken by P to complete 1/5th of work, if Q takes 6 days to complete 3/5th of work and together they take 5 days to complete 3/4th of work?
Quantity II:Â Time taken by a train to cross a platform of length 60 km given that it crosses a pole in two and a half hours running at 60 km/hr?
5) A box contains 4 Red balls, 3 white balls, 5 orange balls and 6 blue balls.
Quantity I: If two balls are drawn out randomly, then find the probability that both the balls are either orange or blue?
Quantity II: If four balls are drawn out randomly, then find the probability that all the balls are of different colours?
Data Interpretation
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions?
The following pie chart shows the percentage distribution of total number of television viewers of different channels in a certain city
The following table shows the ratio of male and female television viewers.
6) Find the difference between the total number of male television viewers of Star news to that of total number of female television viewers of Star Vijay?
a) 2400
b) 2800
c) 3600
d) 3200
e) None of these
7) Find the ratio between the total number of television viewers of Polimer TV to that of total number of female television viewers of Colors TV?
a) 9 : 8
b) 5 : 3
c) 11 : 7
d) 23 : 15
e) None of these
8) Total number of television viewers of Times Now is what percentage of total number of male television viewers of ZEE TV?
a) 215 %
b) 160 %
c) 140 %
d) 175 %
e) None of these
9) Find the average number of male television viewers of Polimer TV, Star Vijay and Colors TV together?
a) 5800
b) 6200
c) 6350
d) 6700
e) None of these
10) Total number of female television viewers of Star news is what percentage more/less than the total number of male television viewers of ZEE TV?
a) 10 % more
b) 20 % less
c) 30 % less
d) 25 % more
e) None of these
Answers:
Directions (1-5):
1) Answer: E
Quantity I:
Present age of Asha = 12 + Present age of Rahul
After 10 years, the ratio of ages of Rahul and Asha = 3: 5 (3x, 5x)
5x – 3x = 12
2x = 12
x = 6
The age of Rahul, after 2 years = 3x – 5 + 2 = 15 years
Quantity II:
The ratio of present age of Naveen and Priya = 2 : 1
The ratio of present age of Gowrish and Priya = 7 : 4
The present age of Naveen, Priya and Gowrish = 8 : 4 : 7
The age of Naveen, after 6 years = 30 years
The present age of Naveen = 24 years
8’s = 24
1’s = 3
The age of Gowrish before 6 years = 7x – 6 = 15 years
Quantity I = Quantity II
2) Answer: A
Profit share=19000 * 12 : 28000 * 6 =19:14
Quantity I,
A’s share
= > 19/33*16500
= > Rs.9500
Quantity II,
B’s share
= > 14/33 * 16500
= > 7000
Quantity I > Quantity II
3) Answer: A
Quantity I,
300 = (80-60) * (5/18) * x
300 = 20 * (5/18) * x
x = 54 seconds
Quantity II,
x = 60 * 5/18 * 18
x = 300m
300+700 = 80 * 5/18 * x
x = 45 seconds
Quantity I > Quantity II
4) Answer: A
Quantity I:
P and Q completes 3/4th work in 5 days, so complete 1 work in 4/3 * 5 = 20/3 days
Q complete 3/5 work in 6 days, so complete work in 5/3 * 6 = 10 days
So in 1 day P completes = 3/20 – 1/10 = 1/20
So to complete 1/5th work = 1/5 * 20 = 4 days
Quantity II:
Length of train = 2.5 * 60 = 150 km
So time taken to cross platform of length 60 km with speed 60 km/hr
= (150+60)/60
= 3.5 hrs
Hence, Quantity I > Quantity II
5) Answer: A
Quantity I:
Total number of balls = 4 + 3 + 5 + 6 = 18 balls
n(S) = 18C2
Probability that both the balls are either Orange or blue
n(E) = 5C2 or 6C2
P(E) = n(E) / n(S) = [5C2 or 6C2] / 18C2
P(E) = 25 / 153
Quantity II:
n(S) = 18C4
Probability that all the balls are of different colours
n(E) = 4C1 and 3C1 and 5C1 and 6C1
P(E) = n(E) / n(S) = [4C1 or 3C1 or 5C1 or 6C1] / 18C4
P(E) = (4 * 3 * 5 * 6) / [(18 * 17 * 16 * 15) / (1 * 2 * 3 * 4)]
P(E) =Â 2 / 17
Quantity I > Quantity II
Directions (6-10):
6) Answer: C
The total number of male television viewers of Star news
= > 75000*(12/100)*(8/15) = 4800
The total number of female television viewers of Star Vijay
= > 75000*(21/100)*(8/15) = 8400
Required difference = 8400 – 4800 = 3600
7) Answer: A
The total number of television viewers of Polimer TV
= > 75000*(15/100) = 11250
The total number of female television viewers of Colors TV
= > 75000*(20/100)*(2/3) = 10000
Required ratio = 11250 : 10000 = 9 : 8
8) Answer: D
Total number of television viewers of Times Now
= > 75000*(14/100) = 10500
Total number of male television viewers of ZEE TV
= > 75000*(18/100)*(4/9) = 6000
Required % = (10500/6000)*100 = 175 %
9) Answer: B
The total number of male television viewers of Polimer TV, Star Vijay and Colors TV together
= > 75000*(15/100)*(5/9) + 75000*(21/100)*(7/15) + 75000*(20/100)*(1/3)
= > 6250 + 7350 + 5000 = 18600
Required average = 18600/3 = 6200
10) Answer: C
Total number of female television viewers of Star news
= > 75000*(12/100)*(7/15) = 4200
Total number of male television viewers of ZEE TV
= > 75000*(18/100)*(4/9) = 6000
Required % = [(6000 – 4200)/6000]*100 = 30 % less
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