Problem Solving MCQ Set 40

Question: Two friends A and B run around a circular track of length 510 metres, starting from the same point, simultaneously and in the same direction. A who runs faster laps B in the middle of the 5th round. If A and B were to run a 3 km race long race, how much start, in terms of distance, should A give B so that they finish the race in a dead heat?

1. 545.45 metres
2. 666.67 metres
3. 857.14 metres
4. Cannot be determined

Question: I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last?

1. 4 hours
2. 2 hours
3. 3 hours
4. 2 hours 24 minutes

Question: How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?

1. 16C7 * 7!
2. 12C4 * 4C3 * 7!
3. 12C3 * 4C4
4. 12C4 * 4C3

Question: In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?

1. 5C3
2. 5P3
3. 53
4. 35

Question: How many number of times will the digit '7' be written when listing the integers from 1 to 1000?

1. 271
2. 300
3. 252
4. 304

Question: There are 6 boxes numbered 1, 2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is

1. 5
2. 21
3. 33
4. 60