Master Maths with ExamChamber Quizzes

If (x−3)(x+5)=0 then the sum of the roots is:

The LCM of two numbers is 240 and their HCF is 12. If one number is 48, the other is:

A shopkeeper marks an item 25% above cost price and gives a discount of 10%. His profit percent is:

If 3 men or 5 women can complete a work in 12 days, then 6 men and 5 women can complete it in:

The average of 10 numbers is 25. If one number 40 is removed, the average of the remaining numbers is:

If the ratio of two numbers is 3:4 and their HCF is 6, then the numbers are:

A man travels 20 km/hr and returns at 30 km/hr. His average speed is:

If 4 men can complete a work in 12 days, then 6 men can complete it in:

A sum amounts to Rs. 5832 in 2 years at compound interest. If the rate of interest is 8% per annum, the principal is:

The square root of 0.000081 is:

If 10 workers earn Rs. 1500 in 12 days, then 15 workers earn in 18 days:

If the sum of the first 20 natural numbers is $210$, then the sum of squares of the first 20 natural numbers

The sum of interior angles of a polygon with 12 sides is:

A train 120 m long crosses a man walking at 6 km/h in 10 seconds. The speed of the train is:

The probability of getting a sum of 9 when two dice are thrown is:

If 12 men can dig a trench in 15 days, then the number of men required to dig it in 9 days is:

A sum of money becomes Rs. 2800 in 2 years and Rs. 3360 in 3 years at simple interest. The principal is:

A can finish a work in 18 days, B in 27 days. They work together for 6 days, then A leaves. In how many more days will B finish the remaining work?

How many integers between 1 and 1000 (inclusive) are divisible by neither 2 nor 5?

What is the number of trailing zeroes in $1000!$?

The average of five numbers is 27. If one number is excluded, the average becomes 25. What is the excluded number?

The average weight of 8 men is increased by 1.5 kg when one of them weighing 65 kg is replaced by a new man. The weight of the new man is:

The average age of 10 students in a class is 15 years. If one more student joins the class, the average age increases by 0.5 years. What is the age of the new student?

The average of three consecutive even numbers is 56. The largest number is:

The average marks obtained by 50 students in a class is 72. If the average marks of the top 25 students is 80 and that of the bottom 25 is 64, the difference between the total marks of the two groups is:

The average monthly income of A and B is Rs. 5050, and the average monthly income of B and C is Rs. 6250. The monthly income of C is Rs. 6500. What is A’s monthly income?

The average age of a husband and wife is 23 years. The average age of the husband, wife, and their child is 20 years. The age of the child is:

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

The average age of a group of 15 students is 15 years. If 5 more students join the group, the average increases by 1 year. The average age of the new students is:

. The average of 25 results is 18. If the first 12 results have an average of 14 and the last 12 results have an average of 20, the 13th result is:

A batsman has a certain average for 11 innings. In his 12th inning, he scores 108 runs, thereby increasing his average by 6 runs. His average after the 12th inning is:

The average age of 40 students in a class is 15 years. If the teacher’s age is also included, the average increases by 0.5 years. The teacher’s age is:

The average marks of 30 students in a class is 45. If the marks of one student are misread as 54 instead of 45, the correct average is:

The average of 5 consecutive odd numbers is 61. The largest number is:

A man covers a certain distance at 30 km/hr and an equal distance at 45 km/hr. His average speed for the whole journey is:

The average of 7 numbers is 50. If each number is increased by 3, the new average will be:

The average of 9 numbers is 50. The average of the first five numbers is 49 and the average of the last three is 52. The sixth number is:

The average score of a cricketer in 10 matches is 38.9 runs. If the average in the first 6 matches is 42, the average in the last 4 matches is:

. A library has an average of 510 visitors on Sundays and 240 visitors on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:

The average temperature of Monday, Tuesday, and Wednesday is 25°C, and that of Tuesday, Wednesday, and Thursday is 24°C. If Monday’s temperature is 27°C, what is Thursday’s temperature?

The ratio of two numbers is 3:4. If 6 is added to each number, the ratio becomes 4:5. What is the smaller number?

The ratio of ages of A and B is 7:9. After 6 years, the ratio becomes 8:9. Find B’s present age.

The monthly incomes of A and B are in the ratio 7:9 and their expenditures are in the ratio 4:5. If each saves ₹3000 per month, find A’s income.

If 3A = 4B = 6C, then A:B:C = ?

A sum of ₹780 is divided among A, B, C in the ratio 1/2 : 2/3 : 3/4. The share of C is:

A:B = 2:3, B:C = 4:5. Then A:B:C = ?

The salaries of A, B, and C are in the ratio 2:3:5. If their salaries are increased by 15%, 10%, and 20% respectively, the new ratio becomes:

A and B together have ₹1210. If A’s amount is 4/7 of B’s, then A’s amount is:

If A:B = 2:3 and B:C = 4:7, then C:A = ?

The ratio of two positive numbers is 5:3. When the larger is divided by the smaller, the quotient is:

If 3A = 2B and 4B = 5C, then A:B:C = ?

Divide ₹600 in the ratio 1/2 : 2/3 : 3/4. The share of the first person is:

A:B = 7:9 and B:C = 3:5. Then A:B:C = ?

Two numbers are in the ratio 5:7. If their difference is 48, the larger number is:

The ratio of speeds of two cars is 4:5. The first car covers 320 km in 8 hours. The speed of the second car is:

If A:B = 2:5 and B:C = 3:4, then A:C = ?

If x:y = 3:4 and y:z = 5:6, then x:y:z = ?

The incomes of A, B, C are in the ratio 3:7:4 and their expenditures are in the ratio 4:3:5. If A saves ₹300, B saves ₹900, then C’s saving is:

The prices of gold and silver are in the ratio 17:15. If the price of gold rises by 20% and silver by 10%, then the new ratio of their prices is:

If A:B = 5:8 and B:C = 4:7, then A:B:C = ?

A shopkeeper makes a profit of 15% on cost price. If he sells 20 pens for Rs. 300, how many pens did he buy for Rs. 300?

A’s income is 20% more than B’s income. By what percentage is B’s income less than A’s?

The price of a shirt was reduced by 25% and it was sold for Rs. 600. What was the original price?

If the population of a town increases by 10% in the first year and 20% in the second year, what is the overall percentage increase in population in two years?

The price of a book is increased by 10% every year. If the current price is Rs. 121, what was the price 2 years ago?

A man spends 35% of his income on food, 25% on rent, and 20% on education. If he still has Rs. 1,200 left, what is his income?

In a school, 40% of students are boys and 60% are girls. 20% of boys and 10% of girls are absent. What percentage of total students are present?

A trader sold an article at a profit of 25%. If he had bought it 20% cheaper and sold it for Rs. 10 more, his profit would have been 40%. What is the cost price of the article?

If the price of sugar increases by 20%, by what percent should a family reduce its consumption so that the expenditure on sugar remains the same?

A sum of money is to be divided among A, B, and C in the ratio 3:4:5. If C gets Rs. 20 more than A, what is the total amount?

A candidate who gets 20% marks in an exam fails by 30 marks, while another candidate who gets 32% marks gets 42 marks more than the passing marks. What is the maximum marks?

If 40% of A = 50% of B = 60% of C, then A : B : C is

A shopkeeper marks goods 50% above cost price and offers two successive discounts of 20% and 10%. What is his profit percentage?

The price of an article is increased by 30%. By what percent must the new price be reduced to restore the original price?

A man spends 75% of his income. If his income increases by 20% and his expenditure increases by 10%, by what percentage will his savings increase?

A salary is first increased by 20% and then decreased by 10%. If the final salary is Rs. 19,800, what was the original salary?

If 25% of a number is 12.5, what is 40% of the same number?

A student scored 30% marks and failed by 12 marks. Another student scored 40% marks and got 8 marks more than the passing marks. What is the maximum marks?
a) 200
b) 250
c) 300
d) 400

A number is first increased by 10% and then decreased by 20%. What is the net percentage change?

A shopkeeper increases the price of a product by 25% and then offers a discount of 20% on the increased price. What is the net percentage change in price?

A box contains 5 red balls, 4 blue balls, and 3 green balls. Two balls are drawn at random without replacement. What is the probability that both are red?

A card is drawn from a well-shuffled standard deck. What is the probability that it is a face card or a red card?

A coin is tossed 5 times. What is the probability of getting exactly 3 heads?

A number is selected randomly from the first 100 natural numbers. What is the probability that it is divisible by 6 or 8?

If two dice are rolled, what is the probability that the sum is a multiple of 4?

A committee of 3 is to be formed from 4 men and 3 women. What is the probability that the committee contains at least 1 woman?

A bag contains 4 white and 6 black balls. Two balls are drawn randomly. What is the probability that they are of different colors?

The probability of A solving a problem is 1/2 and B solving it is 1/3. What is the probability that the problem is solved when both try independently?

A single card is drawn from a deck. What is the probability that it is neither an ace nor a king?

In a class, 60% of the students are boys and 40% are girls. 70% of boys and 90% of girls passed. What is the probability that a randomly selected student is a girl who passed?

Two cards are drawn from a standard deck. What is the probability that both are kings?

A fair die is rolled 3 times. What is the probability that 6 comes up at least once?

A and B alternately throw a die. The first to throw a six wins. What is the probability that A wins if A starts?

What is the probability of getting at most 2 heads in 4 tosses of a fair coin?

A random variable X follows a binomial distribution with n=5 and p=0.4. What is P(X = 3)?

A speaks the truth 3 out of 4 times. B speaks the truth 5 out of 6 times. What is the probability that they contradict each other on a statement?

A pair of dice is thrown. What is the probability that the number on the first die is greater than the number on the second die?

A die is tossed twice. What is the probability of getting a total of 7?

From a group of 3 boys and 2 girls, 2 children are selected at random. What is the probability that one is a boy and the other is a girl?

The probability that a randomly chosen integer between 1 and 100 is divisible by 3 or 5 is:

A man sells a table at 10% profit and a chair at 20% profit. He gains ₹525 in total. If the cost of table is ₹2500, find the cost of chair.

• A trader gains 20% after allowing a discount of 10% on the marked price. The ratio of cost price to marked price is:

The cost price of 20 articles is equal to selling price of 16 articles. The gain % is:

A man bought an article for ₹200 and sold it at a loss of 5%. If he had sold it for ₹10 more, the gain % would have been:

A trader sells goods at a 10% loss on cost price but uses 20% less weight. His gain % is:

If cost price of 12 pens is equal to selling price of 10 pens, the profit percent is:

A shopkeeper bought a watch for ₹1600. He wants to mark it at such a price that after allowing 20% discount, he gains 25%. The marked price should be:

If selling price is doubled, the profit triples. The profit percent is:

A person sells an article for ₹336 at a loss of 16%. The cost price is:

A fruit seller buys oranges at 5 for ₹10 and sells them at 3 for ₹8. His profit % is:

A man sold two items for ₹990 each. On one he gains 10% and on the other he loses 10%. His overall loss or gain is:

An article was sold at a gain of 20%. Had it been sold for ₹12 more, the gain would have been 24%. The cost price is:

A sells an article to B at 20% profit and B sells it to C at 25% profit. If C paid ₹900, the cost price for A was:

A man bought an article for ₹1500 and sold it at 10% profit. If he had sold it for ₹30 more, the gain % would have been:

A man sells an article at 10% loss. If the selling price had been ₹20 more, there would have been a 10% gain. The cost price is:

A trader sold two articles at ₹150 each, one at a gain of 25% and the other at a loss of 25%. His overall result is:

A man sells an article at a profit of 20%. If he had bought it at 20% less and sold it for ₹48 more, the profit would have been 40%. Find the cost price.

A shopkeeper buys an article for ₹800 and marks it at 25% above cost. He allows a discount of 10% on the marked price. His profit % is:

A shopkeeper bought an article for Rs. 2,400 and sold it at a gain of 20%. At what price did he sell it?

A man sold an article at 20% loss. If he had sold it for Rs. 240 more, he would have gained 10%. Find the cost price of the article.

A can complete a work in 12 days and B in 18 days. They work together for 4 days, and then A leaves. In how many more days will B finish the remaining work?

A is 50% more efficient than B. If together they can finish a work in 12 days, how long will B alone take to finish it?

A and B can do a job in 6 days, B and C in 8 days, and C and A in 12 days. How many days will A, B, and C take together?

. A, B, and C can complete a work in 10, 15, and 30 days respectively. They start together, but C leaves after 2 days. In how many more days will A and B finish the remaining work?

A tank can be filled by a tap in 12 hours and emptied by a waste pipe in 18 hours. If both are open together, how long will it take to fill the tank?

A and B can complete a work in 24 and 30 days respectively. They start working together but A leaves after some days and B finishes the remaining work in 12 days. How many days did they work together?

A can do a piece of work in 8 days, B in 12 days, and C in 16 days. They start the work together, but A leaves after 2 days and B leaves 3 days before completion. How long did the work take?

A and B can do a work in 10 and 15 days respectively. They work alternately starting with A. In how many days will the work be finished?

Three taps A, B, and C can fill a tank in 20, 30, and 40 minutes respectively. If A is open all the time and B and C are open alternately for 1 minute each, how long will it take to fill the tank?

A can complete a work in 15 days. B is 50% more efficient than A. How long will they take together to finish the work?

A and B can do a piece of work in 20 and 30 days respectively. They start together but after some days A leaves and B finishes in 10 days. How many days did they work together?

A pipe can fill a tank in 36 minutes. Due to a leak, it takes 48 minutes to fill. How long will the leak alone take to empty the full tank?

A is twice as good a workman as B. Together they finish a work in 18 days. In how many days will A alone finish it?

A and B can complete a work in 15 and 20 days respectively. They work together for 6 days, then B leaves. How many more days will A take to finish the work?

A tap can fill a cistern in 8 hours and another in 12 hours. Both together can fill it in:

A can do a work in 16 days and B in 24 days. They work together for 8 days, then A leaves. How long will B take to finish the remaining work?

A can do a piece of work in 10 days and B in 15 days. They start together but after 2 days, B leaves. How many days will A take to finish the remaining work?

A leak can empty a tank in 10 hours. A pipe can fill the same tank in 6 hours. If both are open, how long will it take to fill the tank?

A can do a work in 6 days, B in 8 days, and C in 12 days. They work together for 2 days and then A leaves. How many more days will B and C take to finish the remaining work?

A and B together can complete a work in 12 days. B alone can do it in 30 days. In how many days can A alone complete it?

A person invests ₹5,000 at simple interest for 2 years and gets ₹600 as interest. Find the rate.

A man borrowed ₹8,000 at 5% p.a. simple interest. He paid ₹2,000 after 1 year and the rest after 2 more years. Find the total interest paid.

A sum of money is doubled in 16 years at simple interest. Find the rate p.a.

The simple interest on a sum for 2 years is ₹240. If the principal is ₹1,200, find the rate

If the simple interest on a sum for 4 years at 9% p.a. is ₹720, find the sum.

A sum of ₹10,000 becomes ₹13,500 in 7 years at simple interest. Find the rate p.a.

A man invests ₹12,000 at simple interest and gets ₹4,320 as interest after a certain time. If the rate is 12% p.a., find the time.

A person borrowed ₹2,500 from a bank at 12% p.a. simple interest. He paid ₹1,500 after 1 year. How much does he still owe after 2 years from the date of borrowing?

The difference between simple interest on ₹5,000 for 2 years at 8% p.a. and 10% p.a. is:

At simple interest, a sum amounts to ₹4,840 in 4 years and ₹5,280 in 5 years. The rate of interest per annum is:

A man lent ₹5,000 partly at 6% and partly at 8% simple interest per annum. The total interest earned in 2 years was ₹720. The sum lent at 6% was:

The simple interest on a sum of money at 9% p.a. for 6 years is ₹4,860. The principal is:

A sum becomes ₹1,200 in 4 years and ₹1,600 in 8 years at simple interest. The original sum is:

A sum of money doubles itself in 10 years at simple interest. The rate of interest per annum is:

The simple interest on Rs. 5,000 at 12% per annum for 3 years is:

At what rate of interest will Rs. 6,000 amount to Rs. 7,200 in 4 years?

The simple interest on a certain sum at 9% per annum for 5 years is Rs. 2,250. The principal is:

A sum of Rs. 2,000 is lent at simple interest for 4 years. If the interest earned is Rs. 640, the rate of interest is:

In how many years will Rs. 2,500 yield Rs. 750 as simple interest at 6% per annum?

The simple interest on a sum for 6 years is Rs. 1,800. If the principal is Rs. 5,000, find the rate of interest per annum.

The compound interest on a certain sum for 2 years is ₹2,050 and the simple interest is ₹2,000. Find the rate of interest if the principal is ₹20,000.

A sum of ₹5,000 becomes ₹5,763 in 2 years at compound interest, compounded annually. Find the rate.

If ₹8,000 amounts to ₹10,648 in 3 years at compound interest, compounded annually, find the rate.

Find the compound interest on ₹8,000 at 5% p.a. for 2 years, compounded annually.

. A sum becomes ₹6,655 in 3 years at 10% p.a. compound interest, compounded annually. Find the principal.

A sum amounts to ₹12,100 in 2 years at compound interest, compounded annually. If the rate is 10% p.a., find the principal

The compound interest on a sum for 1 year at 12% p.a., compounded quarterly, is ₹1,236. Find the principal.

A sum amounts to ₹6,728 in 3 years at 10% p.a. compound interest. Find the principal.

The population of a city is 2,00,000. It increases at the rate of 4% per annum. What will be the population after 3 years?

Find the compound interest on ₹8,000 for 1 year at 10% p.a., compounded half-yearly.

A sum of ₹5,000 becomes ₹5,512 in 2 years, the interest being compounded annually. Find the rate.

A sum becomes ₹6,600 in 2 years at 10% p.a. compound interest, compounded annually. Find the principal.

The compound interest on ₹6,000 at 5% p.a. for 3 years, compounded annually, is:

A sum becomes ₹2,420 in 2 years at 10% p.a. compound interest. Find the principal.

A sum of ₹10,000 amounts to ₹12,100 in 2 years when interest is compounded annually. Find the rate.

The difference between compound interest and simple interest on a sum for 2 years at 8% p.a. is ₹64. Find the principal.

The population of a town increases by 5% every year. If the present population is 80,000, find the population after 2 years.

The compound interest on ₹4,000 for 2 years at 10% p.a. compounded annually is greater than the simple interest by:

Find the compound interest on ₹5,000 at 10% p.a. for 2 years.

A sum of Rs. 20,000 is invested at 10% per annum compounded annually. What will be the compound interest after 2 years?

A man covers a distance in 7 hrs. If he had moved 4 km/h faster, he would have taken 1 hr less. Find the distance.

A train is moving at 72 km/h. It crosses a platform in 30 sec. If the platform is 600 m long, length of the train is:

A train crosses a bridge 500 m long in 30 sec and a man walking at 5 km/h in 20 sec. Length of the train is:

Two trains of equal length take 10 sec and 15 sec respectively to cross a telegraph post. If each train is 120 m long, the time they will take to cross each other when running in opposite directions is:
a) 12 sec

A boat goes 16 km downstream in 2 hrs and 14 km upstream in 3.5 hrs. The speed of the boat in still water is:

A train 90 m long moving at 60 km/h overtakes a man moving at 6 km/h in the same direction. Time taken by train to cross the man is:

A car covers a distance of 150 km in 2 hours and returns in 3 hours. The average speed is:

A man travels from A to B at 10 km/h and returns at 15 km/h. Find the average speed.

A train 100 m long crosses a platform 200 m long in 20 sec. The speed of the train is:

A man covers half the distance at 30 km/h and the remaining half at 60 km/h. The average speed of the man is:

Two trains running in opposite directions cross a man standing on the platform in 6 sec and 8 sec respectively. They cross each other in 9 sec. Ratio of their speeds is:

A 200 m long train crosses a man walking at 6 km/h in the same direction in 10 seconds. The speed of the train is:

. A train 150 m long passes another train 180 m long running in the opposite direction in 12 seconds. If the speed of the first train is 60 km/h, the speed of the second train is:

A man can row 12 km/h in still water. If the speed of the current is 4 km/h, how long will he take to go 48 km downstream?

A train passes a pole in 15 sec and a platform 100 m long in 25 sec. The length of the train is:

A cyclist covers 750 m in 2 min 30 sec. What is his speed in km/h?

A car goes from A to B at 40 km/h and returns at 60 km/h. What is its average speed?

A train 120 m long takes 15 seconds to cross a platform 180 m long. The speed of the train is:

A man covers a distance of 48 km at 12 km/h and returns at 16 km/h. What is his average speed for the whole journey?

A train 180 m long passes a person standing on the platform in 12 seconds. The speed of the train is?

A man travels 2 hrs at 20 km/h, 3 hrs at 30 km/h, and 1 hr at 40 km/h. His average speed is:

A man covers 2/5 of the distance by train at 60 km/h, 1/4 by bus at 48 km/h, and the rest by walking at 12 km/h. Average speed for the whole journey is:

A train covers 240 km at uniform speed. If the speed had been 10 km/h more, it would have taken 1 hr less. The speed of the train is:

Two trains each 100 m long, running in opposite directions, cross each other in 8 sec. Their speeds are in ratio 3:2. The speed of the faster train is:

A car covers 120 km at a certain speed. If the speed had been 10 km/h more, it would have taken 1 hr less. Find the speed.

A person cycles from A to B at 12 km/h and returns at 8 km/h. If he takes 5 hrs in all, the distance AB is:

A 120 m long train crosses a platform 300 m long in 30 sec. The speed of the train is:

A train leaves a station at 6 p.m. at 60 km/h. Another train leaves the same station at 8 p.m. at 90 km/h in the same direction. At what time will the second train catch the first?

A man covers a certain distance in 6 hrs. If he had moved 2 km/h faster, he would have taken 1 hr less. Find the distance.

A man leaves his home at 5 a.m. and walks at 5 km/h to catch a train at 9 a.m. The station is 20 km away. At what speed should he walk to reach exactly at 9 a.m.?

A person travels 30 km at 40 km/h and returns at 60 km/h. Average speed is: