Find the pair that exhibits the same relationship as the one given below: 840 : 735 :: 630 : ?

Question

Find the pair that exhibits the same relationship as the one given below:

840 : 735 :: 630 : ?

1. A. 540
2. B. 525 (Correct answer)
3. C. 420
4. D. 740

Correct Answer

Option B — 525

Detailed Solution & Explanation

The correct answer is 525.

Key Points

• Compare the given pair: 840 → 735 is a fall of 105.
• Applying the same fall: 630 − 105 = 525.
• Equivalently, 735 = 840 × 7/8, and 630 × 7/8 = 551.25, which is not an option — so the intended relation is the constant difference of 105, giving 525.

Additional Information

• Number-analogy items admit several relations, so prefer the one that is simplest and reproduces an option exactly.
• Note also that 105 = 840 ÷ 8 and that both 840 and 630 are multiples of 105 (8 × 105 and 6 × 105), which is what makes the subtraction land on a whole number.

*Ministry of Papers worked solution. The Commission has not yet published the official key for this paper; this answer will be reconciled with it on release.*