Instructions

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 an even number is followed by another even number they are to be added.
(ii) If an even number is followed by a prime number, they are to be multiplied.
(iii)If an odd number is followed by an even number, even number is to be subtracted from the odd number,
(iv) If an odd number is followed by another odd number the first number is to be added to the square of the second number,
(v) If an even number is followed by a composite odd number, the even number is to be divided by odd number.

Question 160

I.65 11 12
II. 15 3 11
What is the sum of the resultants of the two rows ?

Solution

I : 65 11 12

Odd number '65' is followed by another odd number '11', rule (iv) is applied = $$65+(11)^2=186$$

Thus, it becomes : 186 12

Even number '186' is followed by another even number '12', thus according to rule (i) = $$186+12=198$$

II : 15 3 11

Odd number '15' is followed by another odd number '3', rule (iv) is applied = $$15+(3)^2=24$$

Thus, it becomes : 24 11

Now, even number '24' is followed by prime number '11', rule (ii) is applied = $$24\times11=264$$

$$\therefore$$ Sum of the resultants of the two rows = $$198+264=462$$

=> Ans - (D)


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