A 2 min read

Solution

Steps 1 & 2: Understand Question and Draw Inferences

In this question, we are given:

• Two rectangular fields: F and G.

We need to determine:

• Whether the length of rectangular field F is greater than rectangular field G or not.

Let us assume that

• length of field F = L_f and width = W_f
• Similarly, length of field G = L_g and width= W_g

So, to answer this question, we need the length of both the rectangular fields or a relation between them.

With this understanding, let us now analyse the individual statements.

 

Step 3: Analyse Statement 1

“The area of F is greater than the area of G.”

• Area of field F = L_f × W_f
• Area of field G = L_g × W_g

Area of field F > Area of field G

• Hence, L_f × W_f > L_g × W_g

However, this does neither give us the value of L_f­ and L_g nor any relation between them.

Hence, statement 1 is not sufficient to answer the question.

 

Step 4: Analyse Statement 2

“The width of F is less than the width of G.”

• W_f < W_g
• From this statement, we cannot find the relation between L_f­ and L_g.

Hence, statement 2 is not sufficient to answer the question.

 

Step 5: Combine Both Statements Together (If Needed)

From Statement 1:

• L_f × W_f > L_g × W_g ———(1)

From Statement 2:

• W_f < W_g ———–(2)

If we multiply L_g in the above inequality, we get: L_g × W_f < L_g × W_g ———(3)

From (1) and (3) inequality, we get:

• L_f × W_f > L_g × W_g > L_g × W_f
• L_f × W_f > L_g × W_f
  • Since W_f is positive, we can divide it on both the sides of the inequality and sign will not change.
    • Thus, L_f > L_g

Hence, we can find the answer by combining both the statements together.

Thus, the correct answer choice is option C.

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