Cluster · Ratio and Proportion Word Problems
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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If P, Q, R be whole numbers and P: Q: R= 2:3:4 and \(P ^ 2 + Q ^ 2 + R ^ 2 \)= 11600 then P + Q - R = ? pipeline-1305638
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mp_police | — | intermediate | |
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If P : Q = 2 : 3, Q : R = 4 : 5 and R : S = 2 : 1 then what is the value of P : R : S? pipeline-1300174
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mp_police | — | intermediate | |
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There are y yellow marbles and b blue marbles in a box. 18% of the yellow marbles were added to 24% of the blue marbles, and the total was 30. Three times the number of yellow marbles exceeds two times the number of blue marbles by 200. What is the ratio of y2 to b2? pipeline-1300169
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mp_police | — | intermediate | |
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If \(\frac{x}{4y}\) = \(\frac{3}{4}\), then the value of \(\frac{2x + 3y}{x - 2y}\) is: pipeline-1305739
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mp_police | — | intermediate | |
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If a ∶ b = c ∶ d = e ∶ f = 5 ∶ 7, then what is the ratio (3a + 5c + 11e) ∶ (3b + 5d + 11f)? pipeline-1292896
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mp_police | — | intermediate | |
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If 45 percent of X is equal to 15 percent of Y, then what is the value of X : Y? pipeline-1297044
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mp_police | percentage | intermediate | |
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If 30% of the number A is 55% of B, it is given that A + B = 51. Find the value of A/3 + B2. pipeline-1291622
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mp_police | — | intermediate | |
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If a/b is a fraction, where a = b - 3 and (a + 10)/b - a/b = 10/7 , then find a/b. pipeline-1292880
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mp_police | — | intermediate | |
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The ratio of two numbers is 1 : 2. If 21 is added to both numbers, then the ratio becomes 5 : 7. Find these numbers pipeline-1291625
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mp_police | — | intermediate | |
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A is 48% more than B. C is 60% more than twice the difference between A and B. By what percent is C more than A (correct to one decimal place)? pipeline-1272117
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mp_police | percentage | intermediate | |
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Two numbers are in the ratio 3: 5. If the sum of their squares is 2176, find the sum of the two numbers. pipeline-1272111
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mp_police | — | intermediate | |
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If 20% of (A + B) = 30% of (A − B), then what percentage of B is equal to A? pipeline-1324068
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bihar_police | percentage | intermediate | |
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A is 35% more than B, B is 25% less than C and C is 20% more than D. Which of the following is true? pipeline-1269990
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mp_police | — | intermediate | |
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The sum of two numbers is 19, while the difference between the two numbers is 3. Find the smaller number out of these two numbers. pipeline-1269996
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mp_police | — | intermediate | |
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If the numerator of a fraction is increased by 25% and the denominator is decreased by 10%, the value of the new fraction becomes \(25\over24\). Find the original fraction. pipeline-1269995
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mp_police | — | intermediate | |
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Two numbers are, respectively, 10% and 25% more than the third number. The ratio of the two numbers is: pipeline-1323769
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bihar_police | — | intermediate | |
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Two numbers are in the ratio of 3: 7. If 11 is subtracted from each, the ratio between the numbers becomes 7: 20. Find the smaller number. pipeline-1323875
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bihar_police | — | intermediate | |
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The ratio of a : b is 5 : 3. If 4 is added to both of them the ratio becomes 7 : 5. What is the original value of a, and b? pipeline-1306980
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bihar_police | — | intermediate | |
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If A : B = 3 : 7 and B : C = 2 : 5, find A : B : C. pipeline-1309590
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bihar_police | — | intermediate | |
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If the ratio of X to Y is 3 : 4, then determine the relationship between X and Y. pipeline-1309487
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bihar_police | — | intermediate | |
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If P : Q = 10 ∶ 11 and Q ∶ R = 11 ∶ 12, then P + Q ∶ Q + R ∶ R + P is: pipeline-1298650
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bihar_police | — | intermediate | |
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If a number is four times another number and 24 is added to the smaller number, the result is 3 more than twice the larger number. What is the larger number? pipeline-1298656
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bihar_police | — | intermediate | |
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If A : B : C = 8 : 14 : 13 & the difference between A and C is 22.75. Find the value of B. pipeline-1302602
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bihar_police | — | intermediate | |
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If the sum of 30% of A and 40% of B, is two-third of the sum of 60% of A and 40% of B, then what is the ratio of A and B? pipeline-1298653
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bihar_police | — | intermediate | |
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If a3 + b3 : a3 - b3 = 266 : 234, find a : b pipeline-435564
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bihar_police | — | intermediate | |
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A student multiplied a number by 8/13 instead of 11/8. He further added 15 in the number. Find the percentage error in calculation of final number. pipeline-431706
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bihar_police | percentage | intermediate | |
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If 70% of b is equal to 80% of a and 60% of c is equal to 50% of b. It is given that c is less than the 50% of the sum of a and b by 2.5, then what is the value of b? pipeline-412833
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bihar_police | — | intermediate | |
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If P : Q = 10 ∶ 11 and Q ∶ R = 11 ∶ 12, then P + Q ∶ Q + R ∶ R + P is: pipeline-412831
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bihar_police | — | intermediate | |
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If 70% of (x - y) = 20% of (x + y), then what percent of x is y? pipeline-1363801
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rajasthan | percentage | intermediate | |
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By how much 70% of 120 is greater than 40% of 80. pipeline-1363780
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rajasthan | — | intermediate | |
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The sum of the digits of a two−digit number is 9. The number obtained by interchanging its digits exceeds the given number by 45, then the original number is: pipeline-1363812
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rajasthan | — | intermediate | |
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A is 48% more than B. C is 60% more than twice the difference between A and B. By what percent is C more than A (correct to one decimal place)?
pipeline-1353637
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rajasthan | percentage | intermediate | |
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If ratio a : b and b : c are both equal to 2 : 3, find the ratio of 3a + 7b – 2c and 5a – 11b + 10c. pipeline-1193972
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up_police | — | intermediate | |
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25% of a number is 7 more than 30% of another number. The difference between the numbers is 29. What are the numbers? pipeline-1171800
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up_police | — | intermediate | |
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If x : y = 1 : 2, find the value of (2x + 4y) : (x + 4y). pipeline-1171630
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up_police | — | intermediate | |
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When the number 42 is misread as 24, what is the percentage error? pipeline-1171487
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up_police | — | intermediate | |
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If (3x + 2y) : (3x − 2y) = 5 : 3 then find x : y. pipeline-1157697
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up_police | — | intermediate | |
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If 30% of the number A is 55% of B, it is given that A + B = 51. Find the value of A/3 + B2. pipeline-1148177
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up_police | — | intermediate | |
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If a : b :: b : c, and b = 96, then which of the following can be a possible pair of values of a and c? pipeline-1154696
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up_police | — | intermediate | |
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There are three numbers, P, Q, and R. 30% of P is equal to 15% of Q. 20% of Q is equal to 10% of R. By what percentage is R more than P? pipeline-1145281
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up_police | percentage | intermediate | |
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Two numbers are respectively 61% and 35% less than a third number. The first number is what percentage of the second number? pipeline-1139697
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up_police | percentage | intermediate | |
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If the numerator of a fraction is increased by 50% and its denominator is diminished by 28% then, the value of the fraction is 25/36. Find the original fraction. pipeline-1115974
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up_police | — | intermediate | |
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If the sum of the squares of the digits of a two-digit number is 13, then find the sum of all the possible combinations of the digits. pipeline-1170682
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up_police | — | intermediate | |
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If 45% of Ram’s money is added to 50% of Soham’s money, then the total amount will be 86% of Soham’s money. What percentage of Ram’s money did Soham have? pipeline-1170521
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up_police | percentage | intermediate | |
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If 40% of B is added to 20% of A, then it becomes 50% of B, then A is initially what percent less than B? pipeline-1170858
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up_police | percentage | intermediate | |
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The sum of a two-digit number and the number obtained by reversing its digits is 121. Find the number if its unit place digit is 5. pipeline-1170863
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up_police | — | intermediate | |
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The difference between two numbers is 5. If 25 is subtracted from the smaller number and 20 is added to the greater number the ratio becomes 1 : 2. What is the greater number? pipeline-1170036
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up_police | — | intermediate | |
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If the sum of 30% of A and 40% of B, is two-third of the sum of 60% of A and 40% of B, then what is the ratio of A and B? pipeline-1170354
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up_police | — | intermediate | |
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If (a + b) : (b + c) : (c + a) is 6 : 7 : 8 and also a + b + c = 14, then what is the value of c? pipeline-1158134
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up_police | — | intermediate | |
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If p/q = r/s = t/u = 2/5, then what is the value of (4p + 3r + 7t) : (4q + 3s + 7u)? pipeline-1157363
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up_police | — | intermediate |