Mathematics Quiz 10

The number of seats available for Biology and Computer Science in a school is in the ratio 5:8. They are to be increased by 30% and 25% . Find the new ratio.

Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?

The length of a rectangle is two ? fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

Atif and Bilal, 110 km apart, start cycling towards each other. If Atif covers a distance of 6 km to Bilal?s 5 km, how far will Atif have travelled when they meet?

Two bikes start at the same time from two destination 300 km apart and travel towards each other. If they cross each other at a distance of 130 km from one of the destination, what is the ratio of their speeds?

The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?

10 decameters are equal to_______?

A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is__________?

1 inch is equal to__________?

(1.9 * 0.021) / (0.095 * 0.105) = ______?

If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph. then the man?s rate along the current is__________?

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?

X, Y and Z are quantities of the same kind such that X:Y=5:8 and Y:Z=4:7. Find X:Z.

Two trains 120 miles apart travel towards each other. The 1st train travels at 70 mph while the 2nd at 50 mph. A bird starts flying from the location of the faster train towards the other train at 85 mph and when it reaches the slower train it turns back and flies in the other direction at the same speed. When it reaches the faster train it again turns around and repeats the same procedure again and again. When the train collide, how far will the bird have flown?

If the length of a rectangle is increased by 20% and it?s breadth is decreased by 20% then it area________?

n what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?

A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every Third day ?

The length and breadth of a rectangle are in the ratio 5:4. Find its perimeter if its area is 180 cm?

The price of a certain item is increased by 15 %. If a consumer wants to keep his expenditure on the item same as before how much percent must he reduce his consumption of that item?

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is__________?

Ramees bought 4 dozen apples at Rs. 12 per dozen and 2 dozen apples at Rs. 16 per dozen. He sold all of them to earn 20%. At what price per dozen did he sell the apples?

On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 360 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?

A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C How much is to be paid to C?

The length of a rectangular increased by 10% and it;s breadth is decreased by 10 %. Then the area of the new rectangle is_________?

Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.

The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?

In order to obtain an income of Rs. 650 from 10% stock at Rs. ,96, one must make an investment of___________?

The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?

Rahat purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?

The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

In an election between two candidates, the candidate who gets 30 % of the votes polled is defeated by 15000 votes. The number of votes polled by the winning candidate is:________?

There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?

105.126 * 35.201 ? 90.23 * 3 + 55.11 * 27.01 = ____________?

A garrison has provision for 30 days for certain men. If 2/3 of them do not attend the mess then the food will last for?

Find the one which does not belong to that group ?

A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?

The area of a circle is 24.64Sq.m. the circumference of circle is________?

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

Groups each containing 3 boys are to be formed out of 5 boys. A, B, C, D and E such that no group can contain both C and D together. What is the maximum number of such different groups?

The radius of a circle is increased by 1%. Find how much % does its area increases?

(50 ? ?/29)% of 4200 = 3?196

A leak in the bottom of a tank can empty the full tank in 6 hrs. An inlet pipe fills water at the rate of 4 lit. a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs. The capacity of the tank in liters is_________?

Rs. 395 are divided among A, B and C ins such a manner that B gets 25 % more than A and 20 % more than C The share of A is:

How many three letter words are formed using the letters of the word TIME?

There would be 10% loss if rice is sold at Rs. 5.40 per kg. At what price per kg should it be sold to earn a profit of 20%

A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:________?

Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after?