Two trains X and Y (80 km from each other) are running towards each other on the same track with a speed of 40 km/hr. A bird starts from the train X and travels towards train Y with constant speed of 100 km/hr. Once it reaches train Y, it turns and starts moving toward train X. It does this till the two trains collides with each other. Find the total distance traveled by the bird?
A)
80 km
B)
90 km
C)
100 km
D)
105 km
Two friends, Alex and Bob, go to a bookshop, together with their sons Peter and Tim. All four of them buy some books; each book costs a whole amount in shillings. When they leave the bookshop, they notice that both fathers have spent 21 shillings more than their respective sons have. Moreover, each of them paid per book the same amount of shillings as books that he bought. The difference between the number of books of Alex and Peter is five.
Who is the father of Tim?
A)
Alex
B)
Bob
C)
Peter
D)
None of the Above
On a sunny morning, a greengrocer places 200 kilograms of cucumbers in cases in front of his shop. At that moment, the cucumbers are 99% water. In the afternoon, it turns out that it is the hottest day of the year, and as a result, the cucumbers dry out a little bit. At the end of the day, the greengrocer has not sold a single cucumber, and the cucumbers are only 98% water.
How many kilograms of cucumbers has the greengrocer left at the end of the day?
A)
198
B)
196
C)
100
D)
98
You walk upwards on an escalator, with a speed of 1 step per second. After 50 steps, you are at the end. You turn around and run downwards with a speed of 5 steps per second. After 125 steps, you are back at the beginning of the escalator.
How many steps do you need if the escalator stands still?
A)
90
B)
100
C)
110
D)
75
You have ten vases. Five of the vases contain a white pearl and four of the vases contain a black pearl (note that a vase may contain both a white and a black pearl!). You randomly select one of the ten vases. What is the probability that the vase you chose is empty?
A)
2/5
B)
7/10
C)
4/5
D)
3/10
Once upon a time, a young prince from Kanpur wanted to marry the beautiful daughter of the Nawab of Lucknow. The Nawab decided to test the prince. He gave the prince two empty porcelain vases, 100 white pearls, and 100 black pearls.
He told the prince -
You must put all the pearls in the vases, after this I will call my daughter from the room next door. She will take a random pearl from one of the two vases. If this pearl is a black one, you are allowed to marry my daughter.
What is the maximum probability in which the prince could divide the pearls over the vases so as to maximize his chances for the marriage?