Anand stops for 10 minutes after each km and Mahesh stops for 25 minutes after each 4 km. The ratio of speed of Anand and Mahesh is From A, Anand started 1 hour later than Mahesh and both reach B at the same time. Find the time taken in minutes by Anand to travel from A to B. Question A and B start from a point P on a circular track. Both move in the opposite direction such that ratio of their speeds is If circumference of the 44 meters.
What is the shortest distance between the points where they meet for 5th time and the point where they meet for the 8th time? Vivek then meets Muthu exactly 14 seconds after crossing point A. Find the circumference of the circular track.
Question If A beats B by meters in a 1. What is the sum of speeds of A and C if A beats C by 6 minutes 40 seconds in a 3 km race? The first train takes twice as much time as the second train to cross the tunnel completely. The trains can cross each other completely in 2 minutes if they are travelling in the opposite directions on parallel tracks.
How much time in seconds will a train thrice the length of the shorter train take to cross the tunnel travelling at the same speed as these 2 trains?
Enter 0 if the answer cannot be determined. They took the same route and started simultaneously. After meeting each other on the way, Mamata took another 8 hours to reach her destination, while Akhilesh took 18 hours to reach his destination.
Input -1 if the answer can not be determined. Question Anunay is climbing up the moving escalator that is going up. He takes 90 steps to reach the top while Vineet is coming down the same escalator. The ratio of the speed of Anunay and Vineet is If both of them start together and take the same time to reach the other end of the escalator then find out the number of steps in the escalator.
Question Two swimmers Michael Phelps and Matt Biondi started swimming towards each other from opposite ends of a river across the width.
They first met at a point m away from one shore. They crossed each other, touched the opposite end and returned immediately. They met each other again at m from the other shore. Find the width in m of the river.
Assume that the speed of water in the river is negligible. The only scalene triangles with perimeter less than 15 with integral sides are 2,3,4 ; 2,4,5 ; 2,5,6 ; 3,4,5 ; 3,4,6 and 3,5,6. So, the total number of triangles possible is 6.
Perpendicular dropped from the mid-point. It has been given that a point on the circumference of the circle is joined with the end points of the semicircle. It has been given that the sides of the triangle are in an arithmetic progression. Only option D satisfies this condition and hence, option D is the right answer. Hence, replacing angle B with angle DAE in eqn 2 , we get.
Assume the diagonals intersect at O. Given ABCD is an isosceles trapezium, so the length of the non-parallel sides is equal. And area of the triangle ABD is sq units. We can draw a Venn diagram as shown below:. So, families do not own any vehicle.
Hence the minimum value of C is Let I be the percentage of students who like exactly one activity II be the percentage of students who like exactly two activities. III be the percentage of students who like exactly three activities.
IV be the percentage of students who like exactly four activities. V be the percentage of students who like all the five activities.
Here, all the numbers that are divisible by 4 are divisible 2. Hence, we do not need to find the numbers that are not divisible by 4 Hence, we need to find the numbers that are divisible 2, 5 and both 2 and 5. Numbers that are divisible by both 5 and 2 are divisible by Hence, there are 10 numbers that are divisible by both. Since 2 is a factor of 4, the crux of the question is to find how many number less than are not divisible by either 2 or 5.
Difference between the number of students who like both and the number of students who like none is So, in the first transaction, the trader buys kg for Rs x. Since discount on the 3rd book is 20, discount on the first book will be Assuming he sells n number of books. Let the CP of milk be Rs. Therefore, option D is the right answer. Let the MP of 12 apples be Rupees. But instead of giving 12 apples he gives 15 apples i. So the initial distance between them is equal to the length of Durunto express.
This pattern will repeat every 6 days. The most amount of money will be earned by C as his efficiency is the most and therefore will also do the most amount of work. The least amount of money will be earned by A as his efficiency is the least and therefore will also do the least amount of work. Let the total work be 60 units LCM of 15, 20 and 12 A can complete the work in 20 days.
Then, A worked for x days, C worked for x — 3 days, and B worked for x — 5 days. Let the number of pipes that fill the tank be x. The tank will be full in 20 minutes if all the pipes that fill the tank are opened and all the pipes that empty the tank are closed.
Therefore, a full tank will be emptied in 30 minutes if all the tanks that empty the tank are opened and all the tanks that fill the tank are closed. The number of pipes that fill the tank is 6 and the number of pipes that empty the tank is 4. We can see that among two workers 2nd worker is the slower one. He can complete the entire work in 60 days hence we will take 12 days to complete remaining work. Total of 9 positive and 9 negative factors. But among these 9 cases there will be 2 cases where p and q will not be integers.
So this is not possible. Therefore, the roots of the given equation are 3 and -1 and their sum is 2. Hence, 2 is the correct answer. Hence, option B is the correct answer. Let the common ratio be r. The region enclosed by the lines is a triangle in the third quadrant formed by the points 0,-7 , 0,0 and 9,0.
Total no. Since all the lines are intersecting are perpendicular to each other, the area bound will be rectangular. For the curve, the two critical points are -3 and The enclosed area is that of a trapezium with two parallel bases of length 4 and 6 units and height 2 units. The series is 1,2,4,7,11,16 and so on in which the dofference of the series is in AP.
So the angles opposite to them should be equal. Consider the velocity of Anand 11v and the velocity of Mahesh be 2v. Then they will meet for the first time when A moves 7 parts in his direction and B moves 11 parts in the opposite direction.
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