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5. X and Y are two friends who are running on a track AB. Whenever anyone of them reaches A or B they take a U- turn and continue towards the other end.
X starts running from B towards A, after reaching a point C he takes a U turn and when he has reached right in the middle of BC, which is point D, Y starts running from A towards B. X reaches B takes a U - turn and meets Y at point C. If CD is equal to 72 m and ratio of speed of Y and X is 5: 9, what is the length of the track AB?
A. 220 m
B. 242 m
C. 264 m
D. 296 m
E. None of these
4. There is a road alongside the bank of a river. Two friends Vivek and Sanket decided to travel back and forth between point P and point Q starting from point P, where Vivek is sailing on the boat in the river with boat speed of 45 km/hour and stream speed of 15 km/hour flowing from point P to Q, and Sanket is travelling on cycle on roadside with speed 36 km/hour. Find the distance between the point at which they will cross each other while travelling towards each other for the second time and point P, where the distance between point P and Q is 180 km.
A. 17 km
B. 22.5 km
C. 25 km
D. 32.5 km
E. None of these
3. A vessel contains __________ litres mixture of water and ethanol mixed in the ratio 5: 7 respectively. 216 litres mixture is taken out of the vessel and replaced with ___________ litres of water, so that the ratio of the water to ethanol in the vessel becomes _________ .
The values given in which of the following options will fill the blanks in the same order in which is it given to make the above statement true:
I. 576, 165, 3: 2
II. 306, 26, 6: 5
III. 486, 45, 1: 1
A. Only I
B. Only II
C. Only II and III
D. Only I and II
E. Only I and III
2. Sumit, Ram and Raj can do a piece of work in 18, 27 and 36 days respectively. All three started working together but after __________ days, Sumit and Ram left the work and the remaining work is completed by Raj alone in ________days.
The values given in which of the following options will fill the blanks in the same order in which is it given to make the above statement true:
A. 7, 9
B. 6, 10
C. 5, 16
D. 3, 23
A. Only A and B
B. Only A, B and C
C. Only B and D
D. Only B, C and D
E. Only C and D
1. There are 3 containers X, Y and Z and each container has the mixture of alcohol and water. Container X contains 30% water, Container Y contains 20% water and container Z contains 22% water. If the whole mixture
of containers X and Y are mixed, then the resultant mixture contains 26% water and if the mixture of container X and Z mixed, then the resultant mixture contains 25% water. If the quantity of water in container Z is 132 litres water, find the total quantity of alcohol in container X, Y and Z together.
A. 912 litres
B. 932 litres
C. 1032 litres
D. 1075 litres
E. None of these
