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any shorter approach other than the conventional approach ?
P and Q start running on the circular track in opposite directions. They start from pt A and meet for 1st .2nd and 3rd time at B,C and A resp. What is the ratio of speeds of P and Q.
a) 2:1
b) 3:1
c) 4:1
d)none of these
Please share the approach as well.
Hi! Does anyone know the answer to this?
Lewis and John run a 10km race on a circular track of length 1000 m. They complete one round in 200 seconds and 400 seconds respectively. After how much time from the start will the faster person meet the slower person for the last time?
Answer is 2000sec
Find the maximum number of points of intersection of 5 squares?
Find the maximum number of points of intersection of 3 lines and 3 circles?
A roller coaster has five cars, each containing four seats, two in front and two in back. There are 20 people ready for a ride. In how many ways can the ride begin? What if a certain two people want to sit in different cars?
- Pipe A fills a tank at the rate of 100lit/min, Pipe B fills at the rate of 25 lit/min, pipe C drains at the rate of 50 lit/min. The three pipes are kept open for one minute each, one after the other. If the capacity of the tank is 7000 liters, how long will it take to fill the tank if
i. A is kept open first, followed by B and then C.
Hey! Can anyone answer this one..?
two cars, C1 and C2 move towards each other from X and Y respectively with respective speeds of 20m/s and 15m/s. After meeting each other Car1 reaches Y in 10seconds. In how many seconds does car2 reach X starting from Y?
Answer-31.11sec.
M only stuck at why if we take the meeting point as O, XO = 20 x 200/15? I mean..200/15 is the time taken by Car2 to go from Y to X right? and 20 is the distanc covered by Car1 in 1sec..
Mr. Khan, a resident of city X, started by train for city Y, which is at a distance of 375 km from X, to meet his friend Thomas. As he got into the train he looked at his watch and noted that it showed 4:00 pm. When he reached station Y, Thomas met him and looking at his watch said “As it is 8:00 p.m. let’s have our dinner”. The next morning Khan started back for city X and Thomas came along with him to send him off. When the train arrived, Thomas looked at his watch and said, “It is 8:00 a.m. and the train has arrived on time.” When Khan reached X, his watch showed 2:00 p.m. The average speed of the train from Y to X is 100 km/hr less than the average speed of the train from X to Y. The watches of Mr. Khan and Thomas are both running at the correct speed, i.e., they neither lose time nor gain time. What is the time shown by Khan’s watch, when the time shown by Thomas’ watch is 6:30 p.m.?
a)5:30 p.m.
b)5:00 p.m.
c)5:40 p.m.
d)Cannot be determined
- △ABC has integer sides x, y, z such that xz = 12. How many such triangles are possible?
Hi! Anyone knows the answer to this one? The question seems wrong..
The distance between two places R and S is 42 km. Anita starts from R with a uniform speed of 4 km/hr towards S and at the same time Romita starts from S towards R also with same uniform speed. They meet after 6 hours. Calculate speed of Romita?
Hi guys there is a new thread CAT ALL INDIA STUDY CIRCLE...kindly post any good articles shortcut tips new tricks if possible in that thread ..let's make a repository that will help everybody ..what say
x^2 - 3 (y)^2= 1376. Number of integral solutions?
Any other method rather than trial and error.
- Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from point P to the point (3,0) and the point (0,5) is the lowest among all elements in set S. What is the sum of abscissa and ordinate of point P?....Explain approach