Set A: The set contains six positive consecutive multiples of 5 (two-digit numbers).
Set B: The set contains three positive consecutive multiples of 6 (two-digit numbers).
Which of the combinations is definitely true?

Column I	Column I
P. The difference between the smallest number of set A and set B is equal to the difference between the 3rd smallest number of set A and set B.	X. The second smallest number of set A is equal to the second smallest number of set B.
Q. One of the number in set B is 36.	Y. Sum of the largest numbers of set A and set B is 146.
R. The largest number of set A is greater than the largest number of set B.

Correct option is B

X: The second smallest number of set A = The second smallest number of set B.
Possible values = 30, 60 and 90.
Take 30
Set A: 25, 30, 35, 40, 45, 50
Set B: 24, 30, 36
Take 60
Set A: 55, 60, 65, 70, 75, 80
Set B: 54, 60, 66
Take 90
Set A: 85, 90, 95, 100, 105, 110
Set B: 84, 90, 96
Set A = Two-digit number
So, can’t takes 90
P: The difference between the smallest number of set A and set B is equal to the difference between the 3rd smallest number of set A and set B.
We take PX
The difference between the smallest number of set A and set B = 55 – 54 = 1 or 25 – 24 = 1
The difference between the 3rd smallest number of set A and set B = 36 – 35 =1 or 66 – 65 = 1
It is true.
Q: One of the number in set B is 36.
We take RX
Take 60
Set A: 55, 60, 65, 70, 75, 80
Set B: 54, 60, 66
It is false.
R: The largest number of set A is greater than the largest number of set B.
We take RX
50 > 36 and 80 > 66
it is true.
Y: Sum of the largest numbers of set A and set B is 146.
We take PY and QY
So many possibilities there
The combinations are definitely true is PX and RX.

Exam Hall Method: