The Commission publishes this paper without an answer key, so no answers are shown.
1. A buys a certain number of oranges at 8 for Rs. 10 and an equal number at 10 for 8
Rs. 15. If he sells them at 15 for Rs. 20, does he gain or lose at what percentage ?
2. The hour hand of a clock is 6 cm long. Find the area swept by it between 9.15 amand 8
9.50 am in cm?.
3. A product was sold at a profit of 20%, If it was sold at a price that was 15% lower, the 8
profit would have been Rs. 420. What is the Cost price of the product ?
4. A man gets back the amount he had invested in buying 100 mangoes by selling 80 of — 8
them. What is his profit percentage ?
5. A student secures 35% of the total marks in an exam and gets 25 marks more than the 8
pass mark. Another student secures 24° of the total marks in the same exam and fails ;
by 30 marks. What is the passmark as a percentage of the total marks ? gt
6. A person travels 250 km in 5 hours in two parts. He travels first part of the journey by 8 a
bus at an average speed of 45 kmph, and the second part by car at an average speed of bal
70 kmph. Find the distance travelled by him by bus ? ed
7. A person bought a certain number of oranges for Rs. 70. If the price of each orange 8
was Rs. 2 less, he would have bought 4 more oranges for the same amount. Find the
number of oranges he bought originally.
8. A, Band C together can earn Rs, 3240 in 18 days, A and C can earn Rs. 1200 in 5
10 days whereas B and C can earn Rs, 1820 in 14 days. Find the daily earnings of C.
9. The difference between the compound interest and the simple interest for two yearson 8
a certain sum at a certain rate of interest is Rs. 64. Find the principal if the compound
interest for two years is Rs. 704.
10. A and B working separately complete a work in 8 days and 12 days respectively. They 8
work on alternate days starting with A on the first day. In how many days will the
work be completed ?
11. A team of two people A and B who can complete a piece of work together in 40 days, 8
begin the work. C joins them after 8 days and the work gets completed in 24 days after
C joins them. In how many days can C alone complete the work ?
(P.T.O.}
12. A pipe is filling a tank of 200 litres capacity at 5 litres/hr. Because of aleak 8
80 hrs more to fill the tank. What is the rate in litres/hr at which water is leaking ?
13. A tank is full of water. A drain pipe which can empty the full tank in 60 minutes is 8
opened. 18 minutes later another pipe which can fill the empty tank in 30 minutes is
| opened. After how much time in total, is the tank full again ?
14. Ina 500 m race A beats B by 25 m or 5 seconds, what is A’s speed ? 8
15. A 3-digit number is 11 times the 2-digit number formed by using the hundreds and the
unit digit of the 3-digit number respectively, in the tens and units place of the 2-digit
number.
16. The amount used to purchase one litre of petrol can be used to purchase 3 litres of
| diesel or 5 litres of kerosene. Out of a certain amount, Rs. 510 is spent on diesel.
17. A bag contains coins of four different denominations, viz 1-rupee, 50-paise, 25-paise
and 10-paise. There are as many 50-paise coins as the value of 25-paise coins in
rupees. The value of 1-rupee coins in is 5 times the value of 50-paise coins, The ratio of
the number of 10-paise coins to that of 1-rupee coins is 4:3, while the total number of
coins in the bag is 325,
18. A train crosses two bridges 430 m and 550 m long in 30 seconds and 36 seconds 8
respectively. Find the speed of the train in kmph.
19. A man rows a distance of 12 km in 1 hr in still water and in 80 minutes against the 8
current. Find the time taken by him to row 45 km with the current and return to the
starting point.
156/2016 2
20. 3 cow's are each tied to 3 corners of a square plot of side 28 m with ropes 14m long. — 8
Find the area not grazed by the cows in the plot. |
21. While painting the inside of an auditorium, the painter places his ladder against a wall 8
such that the top of the ladder is touches the wall at a height of 24 feet. After the work |
on the wall was over, keeping the foot of the ladder fixed at the same point, it leans
| against the wall on the opposite side and the top of the ladder touches the wall at a |
| height of 20 feet. If the distance between the walls is 22 feet, what is the length of the
| ladder ?
22. A contract was to be completed in 40 days and 24 men were put to work. After 28 7
days, 11 more men were engaged and the work was completed just in time. Had no |
extra men been engaged, how many days would the work have taken ?
23. If 30 men working 5 hrs a day can make a road 300 metres long in 12 days, How long 7
will it take 20 men to make the road 100 metres long working 8 hrs a day ? |
24. At an election 6% of the total voters did not cast their votes and 580 votes were ‘s
| declared invalid. There were two contestants in the poll A and B. A defeated B by 600 |
votes. It was found that A secured 55% of the total legal polled votes, Find the total
number of voters.
-o0o0- )
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3 156/2016
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