If logYx = (a.logZ y) = (b.logX z) = ab, then which of the following pairs of values for (a, b) is not possibe?
- At a village mela, the following six nautankis (plays) are scheduled as shown in the table below:
No. Nautanki Duration Show Times 1. Sati-Savitri 1 hour 9:00a.m. and 2:00p.m. 2. Joru ka Ghulam 1 hour 10:30a.m. and 11:30a.m. 3. Sunder Kand 30 minutes 10:00a.m. and 11:00a.m. 4. Veer Abhimanyu 1 hour 10:00a.m. and 11:00a.m. 5. Reshma aur Shere 1 hour 9:00a.m., 12:00 noon and 2:00p.m. 6. Jhansi ki Rani 30 minutes 11:30a.m. and 1:30p.m.You wish to see all the six nautankis. Further, you wish to ensure that you get a lunch break from 12:30 p.m. to 1:30 p.m. which of the following ways can you do this?
In a family gathering there are two males who are grandfathers and four males who are fathers. In the same gathering, there are two females who are grandmothers and four females who are mothers. There is at least one grandson or a granddaughter present in this gathering. There are two husband-wife pairs in this group. These can either be a grandfather and a grandmother, or a father and a mother. The single grandfather ( whose wife is not present) has two grandsons and a son present. The single grandmother (whose husband is not present) has two granddaughters and a daughter present. A grandfather or a grandmother present with their spouses does not have any grandson or granddaughter present. What is the minimum number of people present in this gathering.