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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

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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


1). Quantity B > Quantity A
2). Quantity B < Quantity A
3). Quantity B ≥ Quantity A
4). Quantity B ≤ Quantity A


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2 vote
Answered by on | Votes 2 |

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 = 9680

Quantity B:

79 times the square of smallest two-digit odd number

= 79 × 112

= 79 × 121

= 9559

Quantity B = 9559

Clearly, Quantity B < Quantity A

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