Three taps A, B, and C can fill a tank in 20, 24, and 30 hours respectively. How long (in hours) would the three taps take to fill the tank if all of them are opened together?
If the rate of interest is 8% per annum and Rs. 10000 lent at the compound interest half yearly then calculate the equivalent simple rate of interest for the first year?
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PAB and PCD are two secants to a circle. if PA =10cm , AB =12cm and PC =11cm, then what is the value of PD?
The speed of a boat in still water is 10 km/hr. It covers a distance of 50 km upstream in 6 hours. What is the speed (in km/hr) of the stream?
500 litres of milk solution has 40% milk in it. How much more milk should be added to make it 60% in the solution?
The shadow of a tower on ground level is increased by 20 m, when the angle of depression by the sun changes from 60∘ to 30∘ . The height of the tower is?
What will be the sum of all odd whole numbers between 10 and 38?
If the volume of two cubes is in the ratio 125 : 1, then what is the ratio of their edges?
A ,B and C invest in a business in the ratio 3:6:5. A and C are working partners.Only B is a sleeping partner hence his share will be 3/4th of what it would have been if he were a working partner. If they make Rs. 50000 profit, half of which is reinvested in the business and the other half is distributed between partners, then how much does C get (in Rs )?
The HCF and LCM of two numbers are 45 and 270 respectively. If the ratio of the two numbers is 2:3 and smaller of the two numbers is X, then find X2
In how many years will Rs 2,000 yield Rs 662 as compound interest at 10% per annum compounded annually?
What is the value of tan (π/4 + A) × tan (3π/4 + A)?
The distance between the centers of the two circles is 61cm and their radius is 35cm and 24cm. What is the length(in cm) of the direct common tangent to the circles?
If a dairy mixes cow’s milk which contains 10%fat with buffalo’s milk which contains 20% fat,then the resulting mixture has the fat of 120/7% . In what ratio was the cow’s milk mixed with buffalo’s milk?
If two complimentary angles are in the ratio of 4:5, find the greater angle.
In the given figure, in a right angle triangle ABC, AB=12 cm and AC =15cm. A square is inscribed in the triangle. One of the vertices of the square coincides with the vertex of the triangle. What is the maximum possible area of the square ( cm2 )?
What is the measure of the two equal angles of a right isosceles triangle?
If 1082 =11664 , then what is the value of √1.1664 + √116.64 ?
The length and breadth of a rectangular field are in the ratio of 5 : 2. If the perimeter of the field is 140 metres, then what is the breadth (in metres)?
Calculate the amount on Rs. 37,500 @ 8% p.a compounded half yearly for 1 1/2 years.
The mean of 17 numbers is 12. If two numbers 9 and 15 are removed, then what will be the mean of the remaining number?
Ram Naresh got two successive discounts, a bag with a list price of Rs. 400 is available at Rs. 160. If the second discount is 20%, find the first discount.
If the diagonal of a square is 12 cm, then what is the area (in cm2 ) of the square?
A line passing through (3, 5) makes angle of 135∘ with x-axis. What will be its equation?
Three toys are in the shape of a cylinder, hemisphere, and cone. The three toys have the same base. The height of each toy is 2 √2. What is the ratio of the total surface areas of the cylinder, hemisphere, and cone, respectively?
A sum of Rs 4000 becomes Rs 5800 in 3 years, when invested in a scheme of simple interest. If the same sum is invested in a scheme of compound interest with the ame yearly interest rate (compounding of interest is done yearly), then what will be the amount (in Rs) after 2 years?
Average of the runs of 133 players of a team is 38. If the average of the runs of the male players is 43 and the average of the runs of the female players is 24, then what will be the ratio of the total runs of male players and the total runs of female players respectively?