The average weight of a certain number of students in a group was 72 kg . If 11 students, with an average weight of 76 kg each, leave the group , and 5 students , each with an average weight of 79 kg, join the group, the average weight of the students in the group decreases by 0.6 kg. The number of students initially in the group was:
Two successive increases of 15% each, is by what percentage more than the two successive decreases of 12% each? (Rounded off to 2 decimal places)
A cylindrical disc of thickness 1 cm is made by melting two solid cylinders of radii 4 cm and 5 cm, and length 6 cm and 4 cm, respectively. The radius of the new cylinder is:
Find the area of the quadrilateral ABCD, the coordinates of whose vertices are A(6,-3),B(-4,-2),C(3,1) and D(5,0)?
A policeman chases a thief. The speed of the policeman and thief are 10 kmph and 8 kmph, respectively. If the policeman started 15 minutes late, find the time taken by the policeman to catch the thief.
The given table shows the number of the suitcases sold by different showrooms from 2018 to 2022.
The suitcases sold by the showroom D in 2019 is what percentage (rounded off to two places of decimals) less than that sold by showroom B in 2021?
Find the simple interest (in ₹) on ₹2500 as a sum borrowed at 6% per year rate of interest for 3 years.
If Anil takes 5 days to complete a task when he works for 8 hours a day, how many days will he take to complete the task if he works 6 hours a day?
Find the simple interest (in ₹) on ₹3500 as a sum borrowed at 5% per year rate of interest for 5 years.
In the first 5 overs of a T-20 international cricket match, the run rate was only 5.6. What should be the run rate (approximately) in the remaining 15 overs to reach a target of 185 runs?
A dishonest shopkeeper claims to sell rice at the cost price of ₹95 per kg, but the weight he uses has 1 kg written on it, while it actually weighs 950 gm. The profit he thus earns on selling rice having an actual weight of 95 kg rice is:
A trader marks his goods at 20% higher than the cost price. Further, he uses a weighing balance which shows 1200 grams for a kilogram. What is his profit percentage?
The average of the sales of an electronics shop in the years 1991, 1992, 1993 and 1994 is 2000, and that for the years 1992, 1993, 1994 and 1995 is 2200. If the sales in 1995 are 1800, find the sales in 1991.
The marked price of a scooter is ₹1,80,000. The shop keeper gave a scheme discount of 4% on ₹1,20,000 and 2.5% on the remaining amount.The selling price (in ₹) of the scooter is :
In an election contested by two candidates, one candidate got 25% of the total votes and still lost by 20,000 votes. Find the total number of votes cast? (all votes are valid)
In a mock test conducted by a coaching institute, 20 students average scored 75% marks and the remaining 15 students average scored 54% marks. Find the average score.
An oil dealer had three types of oil. 403 litres of the first kind, 434 litres of the second kind and 465 litres of the third kind. Find the maximum volume of oil, filled in each barrel, if equal number of barrels are filled.
A shot-put made of iron with a diameter of 12 cm is melted into a solid cylinder with a height of 2cm. What is the diameter of cylinder made ?
A right circular cone of height h and radius R is cut by a plane parallel to the base at a distance h/4 from the base. The ratio
of the curved surface areas of the resulting cone to the frustum is:
Rohan deposited ₹500 for 2 years, ₹650 for 4 years and ₹1,300 for 6 years, at the same rate of interest. He received the total simple interest of ₹1,140. What is the rate of interest per annum?
A policeman follows a thief, who is 150 metres ahead of him., and they run at the speed of 6 km/h and 5 km/h, respectively.What distance does the policeman cover to catch up with the thief?
The graph given below represents the number of students (in thousands), who opted for the given three subjects during the given four years.
Out of the total number of students who opted for the given three subjects in the year 2022, 42% were girls. How many boys chose the given three subjects?
A,B എന്നിവ 4:5 അനുപാതത്തിലും B,C എന്നിവ 20:30 എന്ന അനുപാതത്തിലും ആണെങ്കിൽ എന്നിവ ഏത് അനുപാതത്തിൽ ആയിരിക്കും ?
In a circular race of 1500 m, P and Q start from the same point and at the same time, at speeds of 20 km/h and 35 km/h, respectively. After what time will they meet for the first time on the track if they are running in the same direction?
What is the number of gold coins, each having a radius of 0.875 cm and a thickness of 2 mm, that need to be melted to create a cuboid with dimensions 5.5 cm × 5 cm x 3.5 cm? (Use ∏=22/7 )
The average weight of a class of 115 students is 52.4 kg. If the average weight of the 63 boys is 60 kg, then find the average weight (in kg) of the girls in the class.
(Rounded off to one decimal place)
The bar graph below shows the sale of books (in thousands) from five branches of a publishing company during 2008 and 2009.
What is the ratio of the total sale of books from the branches B1, B2 and BS in 2009 to the total sale of books from the branches B2, B3, B4 and B5 in 2008?
The marked price of a chair is ₹1,800 and a discount of 18% is offered on the marked price. What additional discount must be offered to the customer now to bring the net price to ₹1,220? (Correct to two places of decimals.)
The speed of a boat in still water is 13 km/h and the speed of the stream is 4 km/h. How much more time will it take in going upstream than ingoing downstream a distance of 68 km? (Correct to the nearest minute)
Find the simple interest (in ₹) on ₹2000 as a sum borrowed at 9% per year rate of interest for 2 years.
Sharad invested two equal amounts for 6 years and 3 years at the rate of 7% and 9% per annum, respectively. The sum of their simple interest is ₹1,587. The invested amount (in ₹) by Sharad is:
The average score obtained by 64 boys and a certain number of girls in a test is 59.15, while the average score obtained by the boys is 55.25. If the average score of the girls is 68.75, then how many girls appeared for the test?
By selling an article for ₹19.5, a dealer makes a profit of 10%. By how much should he increase his selling price (in ₹,rounded off to two decimal place) so as to make a profit of 50%?
The lengths of the two diagonals of a rhombus are 20 cm and 23 cm. What is the area (in cm?) of the rhombus?
The average of the numbers 253, 245, 325, 120 and 115+2K is 212. Find the average of the numbers 353, 354, 225, 220 and 110+3K.
Two candidates contested in an election. One of them secured 62.5% of the total votes and won by 996 votes. What is the total number of votes cast?(all votes are valid)
The average weight of a family of five members (in kg) whose weights are 40 kg, 49 kg, 56 kg, 68 kg and 35 kg is:
Find the simple interest (in ₹) on ₹3000 as a sum borrowed at 9% per year rate of interest for 3 years.
The height of a right circular cylinder is three times its radius. If the curved surface area of the right circular cylinder is 3696 cm², then the volume of the cylinder is
equal to (taking ∏ = 22/7):