Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
Quantity A: Difference of squares of largest two-digit odd number and smallest two-digit odd number
Quantity B: 79 times the square of smallest two-digit odd number
First we will find Quantity A,
Quantity A:
Largest two-digit odd number = 99
Smallest two-digit odd number = 11
Difference of squares of largest two-digit odd number and smallest two-digit odd number
= 992 - 112
= (99 + 11)(99 - 11)
= 110 × 88
= 9680
Quantity A = 9680Quantity B:
79 times the square of smallest two-digit odd number
= 79 × 112
= 79 × 121
= 9559
Quantity B = 9559
Clearly, Quantity B < Quantity A