Mathematics Quiz 23

A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are:

In a school, 40 % of the students play football and 50 % play cricket. If 18 % of the students play neither football nor cricket, the percentage of students playing both is________?

The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?

Mahad marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 496.80?

The cost price of a Rs. 100 stock at 4 discount, when brokerage is 1/4 % is:___________?

The area of a rectangle is 12 sq.metres and it?s length is 3 times that of it?s breadth. What is the perimeter of the rectangle?

The edge of a cube is 2a cm. Find its surface?

A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained Rs.8400. Find the cost price of the car?

Two natural numbers whose sum is 72 cannot be in the ratio:

When 2 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?

Taimoor left for his school at 6 am by foot and walked at the rate of 2 kmph. After reaching his school he found it was closed and immediately turned back and started walking back to his home at 3 kmph. If he reached his home at 9 am, find the distance between his school and his home.

Eight years ago, Zahid?s age was 4/3 times that of Shahid. Eight years hence, Zahid?s age will be 6/5 times that of Shahid. What is the present age of Zahid?

The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.

The area of a rectangle is thrice that of a square. The length of the rectangle is 40 cm and the breadth of the rectangle is (3/2) times of the square. The side of the square in cm is__________?

If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?

A tap can fill a tank in 32 min. and another can empty it in 16 min. If the tank is already half full and both the tanks are opened together, the tank will be_________?

Find the ratio between whole surfaces of a sphere and a hemisphere?

A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?

A rectangular field has dimensions 25m by 15m. Two mutually perpendicular passage of 2m width have been left in it?s central part and grass has been grown in rest of the field. The area under the grass is____________?

The value of a plant depreciates by 10 % annually. If the present value of the plant is Rs. 100000, then what will be its value after 2 years?

Find the one which does not belong to that group ?

Rs. 800 at 5 % Per annum compound interest will amount to Rs. 882 in________?

If 20% of a number, then 120% of that number will be_________?

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

The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?

The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?

If y exceeds x by 25%, then x is less than y by__________?

A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?

The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?

Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?

A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?

A bucket contains 2 litres more water when it is filled 80 % in comparison when it is filled 66 2/4 % what is the capacity of the bucket?

A person travels from x to y at a speed of 40Km/h and returns by increasing his speed 50%. What is his average speed for both the trips?

A rectangular tank is 225 m by 162m at the base with what speed must water flow into it through an aperture 60cm by 45cm that the level may be raised 20cm in 5 hours?

Surface area of a sphere is 2464 cm2. If its radius is doubled, then the surface area of _________?the new sphere will be

A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?

The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?

By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?

Find the mean proportion between 5 and 45.

A sum of Rs. 2500 amounts to Rs. 3875 in 4 years at the rate of simple interest. What is the rate of interest?

In what ratio should the profit be divided if M, N, O invests capital in ratio 2:3:5 and their timing of their investments are in the ratio 4:5:6.

Ramees professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?

Ameen started a business investing Rs. 70,000. Rahim joined him after six months with an amount of Rs. 1,05,000 and sameer joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Ameen, Rahim and Sameer respectively, 3 years after Ameen started the business?

In an examination, 65 % of the total examinees passed if the number of failures is 420, the total number of examinees is:_________?

Divide Rs.2000 into two shares in the ratio 3:2.

A mixed doubles tennis game is to be played two teams(each consists of one male and one female) There are four married couples. No team is to consist a husband and his wife. What is the maximum number of games that can be played?

6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = __________?

How many cubes of edge 2 dm can be cut out of a meter cube?

A money lender borrows money at 4% P.a and pays interest at the end of the year. He lends it at 6% P.a compound interest compounded half-yearly and receives the interest at the end of the year. Thus be gains Rs 104.50 a year. The amount of money he borrows is_________?

What is the principle amount which earns Rs.132 as compound interest for the second year at 10 % per annum?