Ratio and Proportion Questions and Answers

The verified answer to “Solve this Ratio and Proportion question: If a:b = 5:7, find (a+b):(a-b).” is 6:1, option D. The ratio is typically expressed as 6:1 magnitude. This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. The alternatives Cannot be determined, 12:(-2) = 6:(-1) and 12:2 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete ratio-proportion calculation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Ratio and Proportion question: If p:q = 2:3 and q:r = 4:5, find p:r.” is 8:15, option C. This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. The alternatives 2:5, 8:12 and 6:15 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete ratio-proportion calculation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Ratio and Proportion question: The population of a city increases in ratio 4:5 annually. If current population is 8000, after one year?” is 10000, option B. The question-specific working supplied with the item states: New population = 8000 x 5/4 = 10000. This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 10000. The alternatives 11000, 9000 and 8500 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete ratio-proportion calculation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 10000, so option B is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Ratio and Proportion question: Rs 7500 is divided among A, B and C in ratio 4:5:6. The question-specific working supplied with the item states: B share = 7500 x 5/15 = 2500. This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 2500. The alternatives 3000, 2000 and 3500 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete ratio-proportion calculation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 2500, so option A is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Ratio and Proportion question: What is the ratio of the sub-duplicate of 25:36?” is 5:6, option D. The question-specific working supplied with the item states: Sub-duplicate ratio of a:b is sqrt(a):sqrt(b) = 5:6. This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. The alternatives 625:1296, 10:12 and 25:36 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete ratio-proportion calculation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Ratio and Proportion question: A bag has coins in ratio 3:4:5 (1 rupee, 50 paise, 25 paise). Total value Rs 31. Find number of 1 rupee coins.” is 12, option C. The question-specific working supplied with the item states: Let coins be 3x, 4x, 5x. Value = 3x + 2x + 1.25x = 6.25x = 31. 1 rupee coins = 12. This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 12. The alternatives 18, 9 and 15 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete ratio-proportion calculation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. In a number series, record differences, ratios or alternating operations. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Ratio and Proportion question: The ratio of salaries of two persons is 7:8. If each gets an increment of Rs 100, ratio becomes 8:9. Find their salaries.” is 700 and 800, option B. The question-specific working supplied with the item states: 7x+100/8x+100 = 8/9. Salaries = 700 and 800. This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 700 and 800. The alternatives 650 and 750, 600 and 700 and 800 and 900 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete ratio-proportion calculation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 700 and 800, so option B is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. The alternatives 1:2:4, 3:4:8 and 1:3:4 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete ratio-proportion calculation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Ratio and Proportion question: What is the duplicate ratio of 3:4?” is 9:16, option D. The question-specific working supplied with the item states: Duplicate ratio of a:b is a^2:b^2 = 9:16. This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. The alternatives 6:8, 3:4 and 12:16 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete ratio-proportion calculation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Ratio and Proportion question: A and B share profits in ratio 3:2. If total profit is Rs 5000, what is A share?” is 3000, option C. The question-specific working supplied with the item states: A share = 5000 x 3/5 = 3000. This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 3000. The alternatives 2500, 1500 and 2000 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete ratio-proportion calculation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 3000, so option C is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.