In each of the following questions two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the question below the rows is to be answered. The operations of numbers progress from left to right.
Rules.
(i) If odd number is followed by a two-digit even · number then they are to be added.
(ii) If an odd number is followed by a two-digit odd number then the second number is to be subtracted from the first number.
(iii) If an even number is followed by a number which is a square of a number then the second number is to be divided by the first number.
(iv) If an even number is followed by two-digit even number then the number is to be multiplied by the second number.
`{:(8,16,16,14),(13,11,12,144):}`
What is the difference between the resultant of the first set of number and the second set of numbers ?

Options

A. 106
B. 118
C. 210
D. 222

Answer

A

Explanation

Resultant of the first row = `R_1`
even no. perfect square perfect square two digit

`= [16div (16div 8)] xx 14`. [Applying (iii), (iii) again & (iv)]
` = [16 div 2] xx 14 = 8 xx 14 = 112`
Resultant of the first row `= R_2`

`=144 div [(13- 11) xx12]`. [Applying (ii), (iv) & (iii)]
`= 144 div [2 xx 12] = 144 div 24 = 6`
So, Required difference `=R_1 -R_2 = 112-6= 106`.