You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Question: When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 24, what is the remainder when k is divided by 7?

 Option A: 2

 Option B: 5

 Option C: 6

 Option D: 3

 Option E: 8
Option D

Question: Car ‘X’ covers a distance of 385 kms in 7 hours and car ‘Y’ covers a distance of 715 kms in 13 hrs. What is the difference in the speed of the two cars?

 Option A: 2kms/hr

 Option B: 1km/hr

 Option C: 3kms/hr

 Option D: 5kms/hr

 Option E: None of these
Option E

Question: The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 128,000 locusts?

 Option A: 12

 Option B: 8

 Option C: 4

 Option D: 10

 Option E: 16

Option D