Cluster · Ratio and Proportion Word Problems
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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If P = (5/6)Q and Q = (4/5)R, what is 2P : 3Q : 4R? pipeline-369772
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quant | — | intermediate | |
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Two numbers are in the ratio 3 : 5. If 4 is subtracted from each of these two numbers, the new numbers then are in the ratio 4 : 7. Find the smaller of the two original numbers. pipeline-369774
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quant | — | intermediate | |
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If (6x + 5y) : (6x - 5y) = 11 : 5 then what is x : y? pipeline-360811
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quant | — | intermediate | |
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If p : q is 5 : 6 and q : r is 2 : 5, then what is p : q : r? pipeline-348742
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quant | — | intermediate | |
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On a tree, there are some parrots and some pigeons in the ratio of 7 : 9, respectively. After an hour, 8 parrots fly away, and 6 pigeons and 10 sparrows come and sit on the tree. The ratio of the parrots and the pigeons on the tree now is 1 : 4. What is the ratio of the parrots and the sparrows that are now on the tree? pipeline-363266
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quant | — | intermediate | |
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Three numbers are in the ratio of 1 : 2 : 3. The product of the three numbers is 1296. What is the sum of the three numbers? pipeline-370674
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quant | — | intermediate | |
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If 3a : 2b = (6a - 3) : (3b - 2) and a = b - 1, then what will be the value of 12ab? pipeline-370448
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quant | — | intermediate | |
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Two numbers are, respectively, 25% and 30% less than a third number. What is the ratio of the first two numbers, in the order mentioned in the previous statement? pipeline-348459
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quant | — | intermediate | |
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When 8 is added to the numerator of a fraction and 12 is added to its denominator, the fraction becomes 1/2. When 2 is subtracted from its numerator and denominator, the fraction becomes 1/8. Find the original fraction. pipeline-348421
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quant | — | intermediate | |
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Three numbers are in the ratio of 2 : 3 : 5. The sum of these three numbers is 80. What is the product of these three numbers? pipeline-366539
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quant | — | intermediate | |
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If A : B = 3 : 4 and B : C = 1 : 5, then what is A : C? pipeline-363273
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quant | — | intermediate | |
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The ratio of three numbers is \(\frac{1}{4}:\frac{5}{6}:\frac{1}{3}\) respectively. If the sum of the number is 68, what is the value of \(\frac{1}{3}\) of the first number? pipeline-359955
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quant | — | intermediate | |
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If \(\frac{x}{4y}\) = \(\frac{3}{4}\), then the value of \(\frac{2x + 3y}{x - 2y}\) is: pipeline-577373
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quant | — | intermediate | |
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P : Q = 4 : 5 and R is 15% less than Q. If Q = 300, then what is the sum of P and R? pipeline-360965
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quant | — | intermediate | |
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Two numbers are, respectively, 20% and 10% more than a third number. The ratio of the first number to the second is: pipeline-366552
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quant | — | intermediate | |
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If a : b = b : c, then what is the value of a6 : b6? pipeline-349397
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quant | — | intermediate | |
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A is 25% less than B. B is 30% more than 120. What is the value of A? pipeline-370669
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quant | — | intermediate | |
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If A : B is 7 : 4 and A - B = 9, then what is the value of A + B? pipeline-589289
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quant | — | intermediate | |
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If the sum of two quantities is equal to six times their difference, then find the ratio of the two quantities. pipeline-624176
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quant | — | intermediate | |
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If a : b, b : \({1{} \over c}\)and c : d, then the relation between a and d is: pipeline-569407
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quant | — | intermediate | |
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Two numbers are respectively 17% and 50% more than a third number. The ratio of the two number is: pipeline-550014
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quant | — | intermediate | |
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Two numbers are in the ratio 5 : 3 and the difference between these two numbers is 34. Find the smaller of the two numbers. pipeline-568063
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quant | — | intermediate | |
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If 750 is divided into two parts such that the ratio of one to the other is 8 : 7, then find the smaller number. pipeline-589263
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quant | — | intermediate | |
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If x : y : z = 3 : 4 : 5, then what will be the ratio of \((\frac x y):(\frac y z):(\frac z x )\) ? pipeline-574527
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quant | — | intermediate | |
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If A is 95% of B, then what per cent of A is B? pipeline-534314
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quant | — | intermediate | |
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If A : B = 3 : 2, B : C = 7 : 5, and C : D = 10 : 3, then what is A : D equal to? pipeline-587852
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quant | — | 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-544874
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quant | — | intermediate | |
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The compound ratio of 3 : 4 and 6 : 7 is 36 : x. Find x. pipeline-580091
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quant | — | intermediate | |
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What is the value of \(\frac{x}{y}\) if \(\frac{X-5Y}{X+5Y}=\frac{7}{13}\) pipeline-544575
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quant | — | intermediate | |
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The sum of the two numbers is 98. The difference between the two numbers is 28. Find one of the two numbers. pipeline-562343
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quant | — | intermediate | |
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During a division, Pranjal mistakenly took as the dividend a number that was 10% more than the original dividend. He also mistakenly took as the divisor a number that was 25% more than the original divisor. If the correct quotient of the original division problem was 25 and the remainder was 0, what was the quotient that Pranjal obtained, assuming his calculations had no error? pipeline-544570
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quant | — | intermediate | |
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While solving a question, Suhas mistakenly took as dividend a number which was 10% less than the original dividend. He also mistakenly took as divisor a number which was 20% less than the original divisor. If the correct quotient of the original question of division was 24 and the remainder was 0, then what quotient did Suhas obtain, assuming there was no error in his calculations? pipeline-558703
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quant | — | intermediate | |
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The ratio of the sum of and the difference between two numbers is 6 : 5. Find the ratio of these two numbers. pipeline-303503
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reasoning | — | intermediate | |
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If 3/5 of A is equal to 8/7 of B then, A is what percent of B. pipeline-51354
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english | percentage | intermediate | |
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The denominator of a fraction is 60% more than the numerator. When the denominator of the fraction is decreased by 10% while the numerator is increased by 20%. Find the percentage increase in the fraction. pipeline-42271
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english | percentage | intermediate | |
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A is y% more than B. B is (y - 50)% less than C. If A > C, what is the range of values y can take? pipeline-540786
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english | — | intermediate | |
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If A is 25% of B and B is 15% of C then, A is what percentage of C? pipeline-494512
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english | percentage | intermediate | |
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If A is 25% of B and B is 30% of C, then C is what percent of 80% of (A + B)? pipeline-50446
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english | percentage | intermediate | |
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A fraction in its simplest form is such that when it is squared and then its numerator increases by 20% and its denominator decrease to 75%, the resulting fraction is 16/15 times the original fraction. Find the difference between the denominator and the numerator of the original fraction. pipeline-38209
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english | — | intermediate | |
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The ratio of two positive numbers is 3 : 5 and the average of the numbers is 48. What is the difference between the numbers? pipeline-38282
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english | — | intermediate | |
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The sum of three positive numbersis 18 and their product is 162. If the sum of two numbersis equal to the third then the sum of squares of the numbers is
pipeline-59589
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english | — | intermediate | |
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Two numbers are such that if the second number is divided by the first number, the result is 4. If 150% of the first number is subtracted from the second number, the result is 25. Find the ratio of the first number to the second number (both numbers are positive). pipeline-612778
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english | — | intermediate | |
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If a ∶ b = 4 ∶ 5, then (2a + 3b) ∶ (3a + 2b) is equal to∶ pipeline-492180
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english | — | intermediate | |
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If the relations between 2 numbers ‘x’ and ‘y’ are (x/5) + (y/9) = -19/45 and x + 4y = 22, then find the value of (x + 3y)/(6y + x/3). pipeline-45610
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english | — | intermediate | |
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If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2? pipeline-492176
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english | — | intermediate | |
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Quantity I: The sum of the four-consecutive multiples of 4 is 440. What would be the smallest number? Quantity II: The sum of three consecutive multiples of 3 is 324. What would be the smallest number? pipeline-59322
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english | — | intermediate | |
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If a : b = 4 : 7 and c : b = 3 : 4, then find the value of a : b : c. pipeline-306685
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english | — | intermediate | |
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If two numbers are in the ratio of 4 : 5 and the sum of their square is 3321, then find the smaller number. pipeline-304299
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english | — | intermediate | |
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Three numbers are in the ratio of 5 : 4 : 7. If the difference between the greatest and smallest number is 153, then find the sum of all three numbers. pipeline-304294
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english | — | intermediate | |
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If p : q = 3 : 4, and q : r = 6 : 7, then find the value of 4q : 3r. pipeline-304290
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english | — | intermediate |