First of all, I’d like to tell you that on July 1st I decided to take a mock every alternate day and my plan was to finish the analysis of my first mock on July 1st and then take the 3rd Mock on July 2nd. However, the analysis of my first mock too longer and at least 1 hour of analysis is still remaining. I also took a vedic math course online and while doing my analysis I came across this multipication:

72 x 88 OR 72 * 88

Now this is a type of question that can be solved using the Sub-Multiples Technique of the Base Method of Multiplication. For eg.

52 x 48

52 | +2 (Base taken as 50 and the difference +2 is written separately)

48 | -2

(Base taken as 50 and the difference -2 is written separately)————-

50 * 5 | -4 (On the LHS, Cross addition or Cross subtraction is done i.e. 52 – 2 OR 48+2; Post this the result 50 is multiplied by 5 as the base of 50 is a derived base from 10*5=50)

250 | -4 (Om the RHS, we have -4 which is the product of +2 and -2)

2496 (Since there was -4 on RHS, we took a carry from 250 making the LHS 249 while doing 10 -4 with the carry from the 10s place to give the final result of 2496)

**Special Case:** **72 x 88**

Following the above rule with base a 80 derived from 10 x 8 =80, we get:

72 | -8

88 | +8

80 | – 64 (LHS is 72+8=80; And RHS is [-8]*[+8] = [-64])

Now to accommodate hte derived base of 10*8 = 80, we’ll multiply 80 with 8

640 | -64

Now, the no. of digits on the RHS can only be the number of zeros on the base so it should have only 1 digit. Thus, technically the place value of 4 in 640 will be the Hundreds value (counting from RHS assuming it should have only one digit —> ones as in whatever # comes in RHS, tens as 0 and hundreds as 4 and thousands as 6 in LHS)

Now since -64 will require a carry from hundreds place (and 0 will be added to the result of RHS’s tens place value), we take a carry from the hundreds place and thus on RHS we get 100 -64 = 36. Now this 3 in the tens place will be added to 0 in the tens place.

Thus, our final answer is 6336.