Q76. Find the ratio of number of red balls in A and E together to number of blue balls in A.

Question

Q76. Find the ratio of number of red balls in A and E together to number of blue balls in A.

1. A. 23:10
2. B. 23:11
3. C. 23:3 (Correct answer)
4. D. 18:19
5. E. 21:22

Correct Answer

Option C — 23:3

Detailed Solution & Explanation

The correct answer is 23:3.

Key Points

• Table: Bag A — 240 balls (150 red, 90 blue); Bag B — 600 (399 red, 201 blue); Bag C — 470 (329 red, 141 blue); Bag D — 380 (228 red, 152 blue); Bag E — 750 (540 red, 210 blue).
• Each bag's red/blue split is found from the given red-minus-blue difference and percentage of red balls.
• Red balls in A and E together = 150 + 540 = 690.
• Blue balls in A alone = 90.
• Ratio = 690 : 90.
• Divide both by their HCF (30): 690 ÷ 30 = 23 and 90 ÷ 30 = 3, giving 23 : 3.
• always reduce a ratio to its lowest terms by dividing both parts by their HCF; 690 : 90 both share the factor 30.

Exam Tip

• read carefully whether the second quantity is 'A and E' or 'A alone' — mixing these up is the usual error, and here the blue count is for bag A only (90), not A + E (300).