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A triangle has sides of lengths 10, 24 and k. k is a positive integer. The number of values of k for which this triangle has three acute angles is
Calculate the area of the triangle in square cm if a right angled triangle where the length of the shorter leg is one third of the length of its hypotenuse. And the length of the shorter leg is 7 cm.
During a given week an author spends 1/4 of his time preparing first drafts, 3/8 of his time editing the drafts and the rest of the time in preparing final drafts. If he works 48 hours during the week, how many hours did he spend in preparing final drafts?
Find the speed of the boat in still water if the river runs at 4 km/hr. The time taken by a Suresh to row the boat upstream is 3 as the time taken by him to row it downstream.
Gaurav buys milk at Rs. 60 per litre, adds water to it and then sells it at Rs. 75 per litre. What should be the ratio of milk to water to get a profit of 37.5%?
If 12 box containers require 18 feet of wall space, how many feet of wall space will 30 box containers require?
If Dev walks 30 miles/hr. he reaches 1 hour before and if he walks with a speed of 20 miles/hr. he reach 1 hour late. Find the distance between 2 points and the exact time of reaching destination is 11 am then find the speed with which he walks.
If a bank clerk can process 80 drafts in half an hour, how many drafts can she process in seven and half hour day?
In a certain college, 20% of the boys and 40% of the girls attended the annual college outing. If 35% of all the students are boys, what percent of all the employees went to the outing?
In a typical motor cycle rally, every motor cycle has to reach a speed of 20 m/min within a minute and it increase its speed by 20 m/min and the sum was 1600 m/min. Four minutes later, a new motor cyclist started running in the race. After another two minutes, the motor cyclist with the speed of 400 m/min stopped due to injuries and again two new motor cyclist started running in the race. What is the current average speed?
In how many rows will 200 Miranda bottles be placed, if 200 Miranda bottles are stacked in such a way that there are 20 bottles in the bottom, 19 in the next row, 18 in the row next and so on?
In the given quadratic equation, mx2+nx+o=0 .If the ratio of the sum of the roots and the product of roots is 2:7, what can be possible values of b and c?
M, N, O are jogging in the same direction around a circular track. The track is marked with numbers from 1 to 12, like the dial of a watch. The 12 numbers are uniformly spaced on the track. M overtakes N once at 5 and then the next time again at 9. M overtakes O once at 2 and then the next time again at 4. Find the ratio of N's speed to O's speed?
Mahesh and Ramesh are questioners. The time taken by Mahesh and make a question is double of that taken by Ramesh. If Mahesh made 3/2 questions less each minute and Ramesh made 3 questions less each minute, to make m questions, the time taken by Ramesh would be 2n minutes less than that taken by Mahesh. If Ramesh takes n minutes to make m questions, find the number of questions that Ramesh can make in a minute?
Mr. Sohan works for Azania Company. The company grants 1000 shares to Mr. Sohan in 2008. At that point each share is worth Rs. 100. In 2010, he decides to sell his entire stake and at that point, the value is Rs. 120 per share. The government declares that the tax to be paid is 10% of the entire profit. Due to the inflation, the value of a rupee in 2010 is equivalent to 0.8 of a rupee in 2008. In this situation, which of the following model indicates the actual tax to be paid by the investor?
