There are five hobby clubs in a college —photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meet on the same day within 180 days? 

Five people A, B, C, D and E are seated about a round table. Every chair is spaced equidistant from adjacent chairs.

(i) C is seated next to A
(ii) A is seated two seats from D
(iii) B is not seated next to A

On the basis of above information, which of the following must be true?

1. D is seated next to B
2. E is seated next to A
3. D and C are separated by two seats

Select the correct answer using the code given below:

There were 50 faculty member comprising 30 males and the rest females. No male faculty member knew music, but many of the female faculty members did. The Head of the institution invited six faculty members to a tea party by draw of lots. At the party is was discovered that no members knew music. The conclusion is that:

Consider the following statement:

"We shall go either for a picnic or for trekking".

Which of the following, if true, would falsify this claim?

A person X was driving in a place where all roads ran either north-south or east-west, forming a grid. Roads are at a distance of 1 km from each other in a parallel. He started at the intersection of two roads, drove 3 km north, 3 km west and 4 km south. Which further route could bring him back to his starting point, if the same route is not repeated?

Consider the following statements. 

1. The rate of population growth is increasing in the country
2. The death rate is declining faster in the country compared to birth rate
3. The birth rate is declining faster in the country compared to death rate
4. Rural-urban migration is taking place regularly in the country

Which one of the following conclusions may be true in the light of the above facts?