Mathematics Quiz 18

The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.

If the side of a square is increased by 30 %. Its area is increased by:_________?

If the height of a pole is 2?3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.

If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is_________?

Find the one which does not belong to that group ?

105 * 99 * 299 = _________?

The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathematics and Chemistry together.

Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?

Find the one which does not belong to that group ?

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.

X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?

Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?

A shopkeeper loses 15%, if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?

P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?

In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?

What are Prime Numbers?

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years ?

25 * 25 / 25 + 15 * 40 = ________?

There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will he take to go 5km in stationery water?

The ratio of the cost price and the selling price is 4:5. The profit percent is:__________?

80 is what percent of 64?

A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?

Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than that of the number X?

What is the rate of interest at which Rs.150 becomes Rs. 220 in 10 years.

Find the roots of quadratic equation: x2?+ x ? 42 = 0?

A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 840 in 4 years. The rate of interest per annum is______?

Find the one which does not belong to that group ?

The length of each side of an equilateral triangle having an area of 4?3 cm2?is_______?

Find the one which does not belong to that group ?

Find the one which does not belong to that group ?

A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?

Sharjeel has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Sharjeel spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Sharjeel add?

Find the one which does not belong to that group ?

In what ratio must water be mixed with milk to gain 16 2/3 % by selling the mixture at cost price?

Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 36 marks in that test. Find the pass mark in the first test?

Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?

If Afnan drives at 4/5th of his usual speed to his office, he is 6 minutes late. What is his usual time to reach his office?

The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?

What percentage of numbers from 1 to 70 have squares that end in the digit 1?

A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?

If four coins are tossed, the probability of getting two heads and two tails is__________?

The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively. The sum is:_______?

When the Price of fans was reduced by 20 %. The number of fans sold increased by 40 %. What was the effect on the sales of rupees?

A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?

A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:_________?

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?

What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

The difference between a discount of 40% on Rs. 500 and two successive discount of 36% and 4% on the same amount is:________?

A boat goes 24 km downstream in 10 hours, it takes 2 hours more to cover the same distance against the stream. What is the speed of the boat in still water?