Question

In this problem, you are presented with two quantities, Quantity I and Quantity II.calculate both quantities and determine the correct relationship between them.

Quantity I: Determine the number of factors of the number 20.

Quantity II: If 'a%' of 200 is 8 more than 'b%' of 400, then find the value of (a - 2b).

Now, compare Quantity I and Quantity II to establish the correct relationship between them and choose the appropriate option.

A Quantity I > Quantity II Correct Answer Incorrect Answer
B Quantity < Quantity II Correct Answer Incorrect Answer
C Quantity I ≤ Quantity II Correct Answer Incorrect Answer
D Quantity I ≥ Quantity II Correct Answer Incorrect Answer
E Quantity I = Quantity-II or No relation Correct Answer Incorrect Answer

Solution

ATQ, Quantity I: Factors of 20 = 1, 2, 4, 5, 10, and 20 So, number of factors of 20 = 6 So, Quantity I = 6 Quantity II: ATQ: (a/100) × 200 = (b/100) × 400 + 8 Or, 2a = 4b + 8 Or, a = 2b + 4 So, required value = 2b + 4 - 2b = 4 So, Quantity II = 4 So, Quantity I > Quantity II

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