Date : 15.7.2016
Problems on Age - Solved Examples(Set 1)

1. Ten years ago, P was half of Q's age. If the ratio of their present ages is $3:4$, what will be the total of their present ages?
A. $45$	B. $40$
C. $35$	D. $30$

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2. Father is aged three times more than his son Sunil. After $8$ years, he would be two and a half times of Sunil's age. After further $8$ years, how many times would he be of Sunil's age?
A. $4$ times	B. $5$ times
C. $2$ times	D. $3$ times

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3. A man's age is $125\%$ of what it was $10$years ago, but $83\frac{1}{3}\%$ of what it will be after $10$ years. What is his present age?
A. $70$	B. $60$
C. $50$	D. $40$

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4. A man is $24$ years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
A. $23$ years	B. $22$ years
C. $21$ years	D. $20$ years

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5. Present ages of Kiran and Syam are in the ratio of $5:4$ respectively. Three years hence, the ratio of their ages will become $11:9$ respectively. What is Syam's present age in years?
A. $28$	B. $27$
C. $26$	D. $24$

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Problems on Area - Solved Examples(Set 1)

1. An error $2\%$ in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
A. $4.04\%$	B. $2.02\%$
C. $4\%$	D. $2\%$

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2. A rectangular park $60$ m long and $40$ m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. The area of the lawn is $2109$ sq. m. what is the width of the road?
A. $5$ m	B. $4$ m
C. $2$ m	D. $3$ m

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3. A towel, when bleached, lost $20\%$ of its length and $10\%$ of its breadth. What is the percentage decrease in area?
A. $30\%$	B. $28\%$
C. $32\%$	D. $26\%$

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4. If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area?
A. $25\%$ increase	B. $25\%$ decrease
C. $50\%$ decrease	D. $50\%$ increase

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5. A person walked diagonally across a square plot. Approximately, what was the percent saved by not walking along the edges?
A. $35\%$	B. $30\%$
C. $20\%$	D. $25\%$

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Problems on Average - Solved Examples

1. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
A. 6.25	B. 5.5
C. 7.4	D. 5

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2. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A. 4800	B. 4991
C. 5004	D. 5000

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3. The average of 20 numbers is zero. Of them, How many of them may be greater than zero, at the most?
A. 1	B. 20
C. 0	D. 19

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4. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. Find out the average age of the team.
A. 23 years	B. 20 years
C. 24 years	D. 21 years

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5. The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
A. 2000	B. 3000
C. 4000	D. 5000

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6. A car owner buys diesel at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of diesel if he spends Rs. 4000 each year?
A. Rs. 8	B. Rs. 7.98
C. Rs. 6.2	D. Rs. 8.1

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7. In Kiran's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Kiran and he thinks that Kiran's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Kiran?
A. 70 kg	B. 69 kg
C. 61 kg	D. 67 kg

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8. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
A. 48.55	B. 42.25
C. 50	D. 51.25

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9. A library has an average of 510 visitors on Sundays and 240 on other days. What is the average number of visitors per day in a month of 30 days beginning with a Sunday?
A. 290	B. 304
C. 285	D. 270

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10. A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by 12. What is the number of students in the class?
A. 45	B. 40
C. 35	D. 30

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