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Mathematics Quiz 7

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Mathematics Quiz 7

1 / 50

The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?

2 / 50

A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?

3 / 50

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is___________?

4 / 50

A top can fill a cistern in 8 hours and another can empty it in 16 hours. If both the taps are opened simultaneously the time (in hours) to fill the tank is

5 / 50

If 35% of a number is 12 less than 50% of that number, then the number is_________?

6 / 50

The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?

7 / 50

Find the one which does not belong to that group ?

8 / 50

The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?

9 / 50

A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?

10 / 50

A cistern has three pipes, A, B and C The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?

11 / 50

Find out the wrong number in the series : 1, 1, 2, 6, 24, 96, 720

12 / 50

A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

13 / 50

Find the H.C.F of 54/9, 3 9/17 and 36/51?

14 / 50

A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. Find the total journey in km.

15 / 50

A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?

16 / 50

The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?

17 / 50

79.98 / 12.51 * 2.49 = ______?

18 / 50

A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can do the work ?

19 / 50

3648.24 + 364.824 / ? ? 36.4824 = 3794.1696

20 / 50

Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?

21 / 50

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

22 / 50

A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?

23 / 50

The perimeter of a triangle is 81 cm. If the sides are in the ratio 4:3:2, find the length of the largest side.

24 / 50

A boat goes 6 km in an hour in still water. It takes thrice as much time in covering the same distance against the current. Speed of the current is_______?

25 / 50

Find the one which does not belong to that group ?

26 / 50

By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:________?

27 / 50

A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?

28 / 50

When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

29 / 50

Find the roots of quadratic equation: 3x2?? 7x ? 6 = 0?

30 / 50

Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?

31 / 50

The number of permutations of the letters of the word ?MESMERISE? is___________?

32 / 50

What will be 80 Percent of a number whose 200 percent is 90?

33 / 50

Excluding stoppages, the average speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

34 / 50

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

35 / 50

Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?

36 / 50

The ratio in which the price at Rs.7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs.6.30 a kg is_________?

37 / 50

9000 + 16 2/3 % of ? = 10500

38 / 50

Find the lowest common multiple of 24, 36 and 40.

39 / 50

A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?

40 / 50

Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?

41 / 50

In how many different ways can the letters of the word ?OPTICAL? be arranged so that the vowels always come together?

42 / 50

A garrison has sufficient food for 500 people to survive for 6 days. At the end of 2 days 100 men desert. How long the provisions are sufficient for now?

43 / 50

P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in__________days.

44 / 50

Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?

45 / 50

At a ship the food was enough for 50 people. But after 10 days half of the men died due to some viral disease and the food is sufficient for as long as before. How long the food was sufficient for then?

46 / 50

10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?

47 / 50

A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?

48 / 50

There are two circles of different radii. The area of a square is 196 sq.cm, whose side is half the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle ?

49 / 50

If 12 members family spend Rs. 850 in 10 days. Then a family of 8 people will spend Rs. 340 in how many days.

50 / 50

The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is_________?

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