Puzzle of the day: 159
In the given figure product of the elements in the row (b*d) is same as the product of the elements in the column (a*b*c). There are 5 possible numbers to fill in the figure 2,3,5,6,7.
Which two numbers cannot appear together in the figure
- 2,3
- 5,7
- 6,7
- 3,6
Answer: (2) 5 and 7 Solution: because in the list there are total 4 primes factors available 2, 3 ,5 ,7 2*3 in these primes 2 and 3 both have 2 powers available. But 5 and 7 only have one power available. Hence they can only take place of the common element. Since there is only one common element. Hence either 5 or 7 could be there.
See our previous puzzle of the day
1) 2,3