At a family gathering, there are two males who are grandfathers and four males who are fathers. At 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 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 at this gathering?
At a family gathering, there are two males who are grandfathers and four males who are fathers. At 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 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 at this gathering?
The correct option is D 16
There are 2 grandfathers, 4 fathers, 2 grandmothers, 4 mothers, 2 grandsons and 2 granddaughters. It is said that at least one grandson or a granddaughter is present. This grandson or granddaughter is included in the 2 grandsons or 2 granddaughters present. Also, two husband-wife pairs are included in grandfather-grandmother and father-mother pairs. Clearly, the minimum number of people present in the gathering can be calculated by adding all the grandfathers, the grandmothers, the fathers, the mothers, the grandsons and the granddaughters present there.
∴ Required answer = 2 + 4 + 2 + 4 + 2 + 2 = 16.
There are 2 grandfathers, 4 fathers, 2 grandmothers, 4 mothers, 2 grandsons and 2 granddaughters. It is said that at least one grandson or a granddaughter is present. This grandson or granddaughter is included in the 2 grandsons or 2 granddaughters present. Also, two husband-wife pairs are included in grandfather-grandmother and father-mother pairs. Clearly, the minimum number of people present in the gathering can be calculated by adding all the grandfathers, the grandmothers, the fathers, the mothers, the grandsons and the granddaughters present there.
∴ Required answer = 2 + 4 + 2 + 4 + 2 + 2 = 16.
