Match the LIST-I with LIST-II

Choose the correct answer from the options
given below:

A) The logic for the first pattern is to take the product of all the numbers around the circle and divide the product by 10.

For the first circle, the product is 3 * 4 * 2 * 5 = 120 and dividing it by 10, we get 12, which is in the centre of the circle.

For the second circle, the product is 6 * 2 * 3 * 5 = 180 and dividing it by 10, we get 18, which is in the centre of the circle.

For the third circle, the product is 2 * 2 * 9 * 5 = 180 and dividing it by 10, we get 18, which has to be in the centre of the circle.

So the correct answer for A is iv) 18

B) The logic for the second pattern is to take the product of all the opposite numbers and take the sum of the numbers to get the number in the centre.

For the first circle, the sum is  2 * 5 + 1 * 3 = 13, we get 13, which is in the centre of the circle.

For the second circle, the sum is 4 * 6 + 1 * 5 = 29, we get 29, which has to be in the centre of the circle.

For the third circle, the sum is 3 * 4 + 1 * 5 = 17, we get 17, which is in the centre of the circle.

So the correct answer for B is iii) 29

C) The logic for the third pattern is to take the difference of the opposite numbers and take the product of the numbers to get the number in the centre.

For the first circle, the product is (15 - 8) * (10 - 8) = 7 * 2 = 14, we get 14, which is in the centre of the circle.

For the second circle, the product is (9 - 5) * (8 - 6) = 4 * 2 = 8, we get 8, which is in the centre of the circle.

For the third circle, the product is (11 - 8) * (6 - 4) = 3 * 2 = 6, we get 6, which has to be in the centre of the circle.

So the correct answer for C is i) 6

D) The logic for the fourth pattern is to take the product of all the opposite numbers and take the difference of the numbers to get the number in the centre.

For the first circle, the difference is 7 * 4 - 5 * 3 = 13, we get 13, which is in the centre of the circle.

For the second circle, the difference is 8 * 4 - 9 * 3 = 5, we get 5, which is in the centre of the circle.

For the third circle, the difference is 9 * 4 - 8 * 3 = 12, we get 12, which has to be in the centre of the circle.

So the correct answer for D is ii) 12

After matching all, we get A-IV, B-III, C-I, D-II.

Hence, the correct answer is option D.