Cluster · Ratio and Proportion Word Problems
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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If 3A = 5B = 6C ; then find the value of 2A + 3B + C pipeline-306724
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english | — | intermediate | |
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If two is subtracted to the numerator while 3 is added to the denominator, ratio becomes 3 : 2. While if 7 is added to the denominator while 4 is subtracted form the numerator, ratio becomes 5 : 3. What is the fraction? pipeline-186241
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english | — | intermediate | |
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If a : b = 5 : 9 and b : c = 4 : 7, find a : b : c ? pipeline-63009
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english | — | intermediate | |
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The ratio of two numbers A and B is 4 : 5. If 5 is added to each of A and B, then the ratio of A and B becomes 5 : 6. Then find the value of B. pipeline-304282
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english | — | intermediate | |
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If the value of a : b = 5 : 4, then find the ratio of (a + b)2 - 4ab and a2 - b2. pipeline-46021
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english | — | intermediate | |
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If A : B = 9 : 5 and B - A = 36, then what is the value of (A + B)/6? pipeline-306712
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english | — | intermediate | |
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Two numbers, Q and R, are such that the sum of 3% of Q and 2% of R is one-third of the sum of 5% of Q and 7% of R. Find the Q to R ratio. pipeline-451662
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english | — | intermediate | |
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An item is cut into 2 pieces in ratio 8 : 7 which are further cut into 2 pieces in ratio 1 : 3 and 3 : 4 respectively. Find ratio of the first and fourth pieces. pipeline-333017
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english | — | intermediate | |
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Rakesh and Shyam had money in the ratio 4 : 7 while Vimal and Amit had money in ratio 9 : 16. What would be ratio of product of money with Rakesh and Vimal to product of money with Shyam and Amit? pipeline-49434
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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 | |
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If a : b : c = 2 : 3 : 1, then what is the value of \(\frac{2a+3b-4c}{a+b-2c}\) pipeline-306704
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english | — | intermediate | |
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What is the two-digit number? Statement I: The digit in the tens place is 5 more than the digit in the unit place. Statement II: The difference between the two digits of the number is 5. Statement III: The difference between the original number and the number obtained by interchanging the digits is 45. pipeline-95279
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english | — | intermediate | |
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Quantity 1: Thirty-five percent of a number is 20 less than 3/5 of that number. What is the number? Quantity 2: Forty-five percent of a number is 60 less than 2/3 of that number. What is the number? pipeline-95497
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english | percentage | intermediate | |
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There are three friends Zirman, Rock and Pattu. The 40% age of Zirman is equal to 120% age of Rock, and 60% age of Rock is equal to 180% of Pattu. Find the ratio of ages of three friends Zirman, Rock, and Pattu. pipeline-51199
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english | — | intermediate | |
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If the value of A : B = 4 : 5, and B : C = 7 : 5. Then find the value of A : B : C. pipeline-304278
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english | — | intermediate | |
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If a + b = 46 and a - b = 22, then find the value of a : b. pipeline-306722
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english | — | intermediate | |
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If A : B : C = 9 : 11 : 7 then find the value of [(A3 + B3 + C3 – 3ABC)]/[A{(A + B + C)2 – 3(AB + BC + CA)}] pipeline-46134
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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 x + y + z = 450, and x : y : z = 3 : 7 : 5, then what is the value of (x + y - z) pipeline-306716
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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 a : b = 5 : 4 then find the value of 4a + 5b - ab. pipeline-306684
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english | — | intermediate | |
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The number 4352 is divided into numbers in the ratio 9 : 11 : 14. What will be the smallest number? pipeline-22902
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reasoning | — | intermediate | |
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If 30% of x is equal to 5 times of 20% of y. Find the value of x : y. pipeline-226837
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reasoning | — | intermediate | |
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A student multiplies a number by 6/5 instead of 5/6. What is the percentage error in the result? pipeline-26806
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reasoning | — | 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-16518
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reasoning | — | intermediate | |
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If 7A = 11B = 14C; find the value of A : B : C. pipeline-123496
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reasoning | — | intermediate | |
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A is 120% of B and B is 65% of C. If the sum of A, B and C is 121.5, then te value of C-2B + A is: pipeline-302987
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reasoning | — | intermediate | |
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The numerator of a fraction is 1 less than the denominator. If 3 is added to the numerator and 1 is subtracted from the denominator the fraction becomes 5/2. Find the original fraction. pipeline-45567
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reasoning | — | intermediate | |
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A : B = 5 : 8 and B : C = 11 : 13. If A = 110, then what is the valuve of C ? pipeline-112057
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reasoning | — | intermediate | |
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If the difference between 3/2 and 4/3 of the same number is 12, then the number is ? pipeline-509871
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reasoning | — | intermediate | |
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u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of w? pipeline-112439
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reasoning | — | intermediate | |
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If P : Q : R = 5 : 3 : 6, then what will be the ratio of (P/Q) : (Q/R) : R/P) = ? pipeline-112060
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reasoning | — | intermediate | |
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If x : y = 6 : 5 and z : y = 9 : 25, then what is the ratio of x : z ? pipeline-112155
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reasoning | — | intermediate | |
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Two numbers are respectively 25% and 50% more than a third number. The ratio of the first number to second number is : pipeline-110873
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reasoning | — | intermediate | |
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A is 20% less than B and C is 30% more than D. If D is 25% less than A, then which of the following is true? pipeline-2964
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reasoning | — | intermediate | |
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If A : B : C = 4 : 5 : 6, then what is the ratio of (1/A) : (1/B) : (1/C) ? pipeline-112674
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reasoning | — | intermediate | |
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If A : B = 7 : 8 and B : C = 7 : 9, then what is the ratio of A : B : C ? pipeline-112047
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reasoning | — | intermediate | |
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A is 25% more than B, and B is 40% less than C. If C is 20%, more than D, then A is what percentage less than D? pipeline-304348
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reasoning | percentage | intermediate | |
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If A is the 9/8 of B and B is the 7/6 of C, then find C is how much percent of A? pipeline-52787
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reasoning | percentage | intermediate | |
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Numbers A and B are 30% and 50%, respectively, more than the number C. The ratio of A to that of B is: pipeline-303946
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reasoning | — | intermediate | |
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\(\frac{11}{ 5}\) of a number A is 22% of a number B. The number B is equal to 2.5% of a third number C. If the value of C is 5500, then the sum of 80% of A and 40% of B is: pipeline-301962
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reasoning | — | intermediate | |
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The ratio between two numbers is 7 : 16. If the second number is 256 then the first number is: pipeline-114224
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reasoning | — | 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-742714
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english | — | 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-742670
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english | — | intermediate | |
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The sum of two digits is 12, and the sum of their reciprocals is 4/9. Then find the largest of these digits. pipeline-1305957
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mp_police | — | intermediate | |
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A two-digit number is 12 more than five times the sum of its digits. The number formed by reversing the digits is 9 less than the original number. The number is: pipeline-1306158
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mp_police | — | 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-1306037
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mp_police | — | intermediate | |
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Two numbers are in the ratio 49 : 64. If both numbers are increased by 10, then their ratio becomes 54 : 69. What is the difference between the two numbers? pipeline-1306239
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mp_police | — | intermediate | |
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When the number 42 is misread as 24, what is the percentage error? pipeline-1305929
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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-1306146
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mp_police | — | intermediate |