Vijay can do a piece of work in 4 hours. Ajay can do it in 28 hours. With the assistance of Amit, they completed the work in 3 hours. In how many hours can Amit alone do it?
Three partners invested in a business in the ratio 4:6:8. They invested their capitals for
8 months, 4 months and 5 months, respectively. What was the ratio of their profits?
A sum, when invested at 10% simple interest per annum, amounts to ₹3120 after 3
years. What is the simple interest (in ₹) on the same sum at the same rate of interest in
2 years?
A can do a piece of work in 12 days. B can do it in 18 days. With the assistance of C,
they completed the work in 4 days. C alone can do it in ______________days.
A conical canvas tent with height 14 units and radius 7 units requires__________________ square units of canvas to make.
A clay cylinder of height 42 cm is converted into a cone of the same radius as that of the cylinder. If the volume of the cylinder is 52,800 cm3 , then the radius (in cm) of the cone is:(Use π =22/7)
The sum of five numbers is 655. The average of the first two numbers is 76 and the third
number is 107. Find the average of the remaining two numbers?
Kavya has to reach Bhopal which is 1011 km away in 19 hours. His starting speed for 7
hours was 25 km/hr. For the next 152 km his speed was 19km/hr. By what speed he
must travel now so as to reach Bhopal in decided time of 19hours?
A girl goes to school at a speed of 10 km/hr. She comes back with a speed of 40 km/hr.
Find her average speed for the whole journey.
In a laboratory, the count of bacteria in a certain experiment was increasing at the rate
of 4.4% per hour. Find the count of bacteria at the end of 2 hours if the count was
initially 8,05,00,000.
The LCM of three numbers is 2400. If the numbers are in the ratio of 3 : 4 : 5, find the
greatest number among them.
Kiran can do a certain piece of work in 15 days. Kiran and Garima can together do the
same work in 10 days, and Kiran, Garima and Mehak can do the same work together in 9
days. In how many days can Kiran and Mehak do the same work?
Devvrat sold a commodity at a loss of 3%. If he would have been able to sell it at a profit
of 15%, he would have received ₹1,494 more. What was the cost price (in ₹) of the
commodity?
A principal amount of ₹8,000 is invested at an annual interest rate of 5% compounded
half-yearly. What will be the compound interest earned after 4 years?
[Use (1.025)8 = 1.2184]
Mohan, Rahul, and Geeta enter into a partnership. They invest 35,000, ₹75,000, and 1,05,000, respectively. At the end of the first year, Rahul withdraws 25,000, while at the end of the second year, Geeta withdraws 75,000. In what ratio will the profit be shared at the end of 3 years?
Arun’s salary is increased by 20% in January and his salary is again increased by 35%
in the month of November. What is the overall percentage increase in his salary?
A tap can fill a tank in 8 hours. After half the tank is filled, four more similar taps are
opened. What is the total time taken to fill the tank completely?
The average of the marks of 15 students in a class is 43. If the marks of each student
are doubled, find the new average?
What is the smallest possible number which when divided by 33, 56 and 84, leaves 6, 29
and 57 as the remainders, respectively?
The monthly incomes of two friends Chetan and Vipul, are in the ratio 5 : 7 respectively
and each of them saves ₹72000 every month. If the ratio of their monthly expenditure is
1 : 3, find the monthly income of Chetan(in ₹).
A trader offers a 10% discount on the marked price and provides 3 articles free for every
12 articles purchased, thereby earning a profit of 20%. Find the percentage by which the
marked price is increased above the cost price, correct to two decimal places.
The length of a rectangular garden is 20 m and its breadth is 8 m. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden.
A man riding on a bicycle at a speed of 43 km/h crosses a bridge in 54 minutes. Find the
length of the bridge?
The sum of five numbers is 655. The average of the first two numbers is 78 and the third
number is 123. Find the average of the remaining two numbers?
The marked price of an article is ₹5,800. A customer gets two successive discounts, the
first being 12%. Calculate the second discount percentage if the customer pays
₹4,695.68 for it.
How many seconds will a boy take to run one complete round around a square field of side 87 metres, if he runs at a speed of 3 km/h?
The sum of five numbers is 655. The average of the first two numbers is 75 and the third number is 114. Find the average of the remaining two numbers?
Three partners invested in a business in the ratio 1:9:8. They invested their capitals for 11 months, 6 months and 2 months, respectively. What was the ratio of their profits?
At what rate percentage per annum (correct to one place of decimal) will ₹17,280 amount to ₹23,520 in 2 years, if the interest is compounded annually?
The height of a conical vessel is 7 cm. If its capacity is 6.6 litres of milk. Find the diameter of its base.
A shopkeeper has announced 14% rebate on the marked price of an article. If the selling price of the article is ₹688, then the marked price of the article will be:
Anil can do a piece of work in 4 hours. Ashok can do it in 8 hours. With the assistance of Robin, they completed the work in 2 hours. In how many hours can Robin alone do it?
If A can complete a job in 15 days and B can complete the same job in 20 days, then how many days (rounded up to the nearest two decimal places) will it take for both A and B to complete the job together?
A retailer sold a laptop at ₹27,000 by giving two continuous rebates of 20% and 10%. What is the marked price?
If the radius of the base of a right circular cylinder is decreased by 24% and its height isincreas ed by 262%, then what is the percentage increase (closest integer) in its volume?
A number is first increased by 12%, and the increased number is decreased by 8%. Find
the net increase or decrease percentage.
In a race, an athlete covers a distance of 438 m in 146 sec in the first lap. He covers the second lap of the same length in 73 sec. What is the average speed (in m/sec) of the athlete?