CAT4MBA

X, Y and Z wish to go from A to B, which are separated by a distance of 70 km. All the three persons start off together from A; X and Y go by Luna at a speed of 20 km/hr. X drops Y somewhere along the way and returns to pick up Z who has already started walking towards B at a speed of  5km/hr. Y, after being dropped by X, starts walking towards B at a speed of 5 km/hr, and they all reach B at the same time.

Q1. How much distance is covered by Z on foot?
a. 25 km
b. 10 km
c. 20 km
d. 15 km

Q2. What is the total distance traveled by X?
a. 130 km
b. 140 km
c. 110 km
d. 90 km

Q3. How long does it take to go from A to B?
a. 6 hr
b. 6.5 hr
c. 7 hr
d. 14 hr

Q4. After how much time is Y dropped on the way by X?
a. 2 hr
b. 3 hr
c. 2.5 hr
d. 1.5 hr

Q5. If x be a positive even integer, what are the last two-digits of the number 8^2z – 6^2x ?
a. 00
b. 50
c. 86
d. Cannot be determined