wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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?


A
10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
14
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
16
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

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.


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Three Sets Venn Diagram
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon