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-1244329
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banking | — | 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-1244598
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banking | — | intermediate | |
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The two numbers are in the ratio of 4 : 5. By increasing each of them by 16, the ratio becomes 20 : 23. The numbers are: pipeline-1263817
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banking | — | 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-1256645
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banking | 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-1256464
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banking | — | 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-1256644
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banking | — | intermediate | |
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Two numbers are in the ratio 2 : 4. If the first number is increased by 4 and the second number is decreased by 14, then the ratio becomes 8 : 5. What is the sum of the original two numbers? pipeline-1305353
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defence | — | 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-1301866
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defence | — | intermediate | |
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Anna and Ben each have a collection of marbles. If Anna gives one marble to Ben, they will both have an equal number of marbles. Conversely, if Ben gives one marble to Anna, she will end up with three times the number of marbles that Ben has. What is the total number of marbles they both have? pipeline-1301806
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defence | — | 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-1301855
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defence | — | intermediate | |
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The sum of a two−digit number and the number obtained by interchanging the digits is 77. If the difference of digits is 1, then the number is: pipeline-1296636
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defence | — | 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-1290106
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defence | — | 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-1296666
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defence | — | intermediate | |
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Three natural numbers are such that one-third of the first number is equal to two-fifths of the second, and two-thirds of the second number is equal to one-seventh of the third. The sum of five times the third number and half of the square of the first number is 1348. What is the value of the second number? pipeline-1290117
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defence | — | intermediate | |
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The difference between the two positive numbers x and y (x > y) is 350. If 9.5% of x is equal to 16.5% of y, then the sum of the two numbers x and y is: pipeline-1272438
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defence | — | intermediate | |
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If one is subtracted from each of the numerator and denominator of a fraction, the fraction obtained is equal to 1/4. If 5 is added to each of the numerator and denominator, the fraction obtained is equal to 1/2. Find the difference between 11 times the numerator and 3 times the denominator of the original fraction? pipeline-1272462
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defence | — | intermediate | |
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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-1251897
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defence | — | intermediate | |
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A two-digit number is such that the sum of the digits is 9. When the number with the same digits is reversed and subtracted from the original number, the difference is 27. What is the original number? pipeline-1266191
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defence | — | intermediate | |
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If 2/5 of A = 70% of B and B = 25% of C. Find the value of A : B : C. pipeline-1265967
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ib | — | intermediate | |
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If \(\frac{x}{4y}\) = \(\frac{3}{4}\), then the value of \(\frac{2x + 3y}{x - 2y}\) is: pipeline-1259352
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ib | — | intermediate | |
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Two numbers are in the ratio 2 : 3. Their sum is 135. Find the numbers. pipeline-1255626
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ib | — | intermediate | |
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Two numbers are respectively 17% and 50% more than a third number. The ratio of the two numbers is: pipeline-1255171
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ib | — | 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-1255623
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ib | — | intermediate | |
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Two numbers are in the ration of 1 : 2. If 7 is added to both, their ratio changes to 3 : 5. The greater number is: pipeline-1246996
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ib | — | 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-1238394
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ib | — | 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-1233448
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ib | — | intermediate | |
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The ratio of a two-digit natural number to a number formed by reversing its digits is 4 : 7. Which of the following is the sum of all the numbers of all such pairs? pipeline-1265850
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ib | — | intermediate | |
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If 56% of a number is equal to \(5\over9\) of another number, then what is the ratio of the first number to the second number? pipeline-1264166
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ib | — | intermediate | |
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The sum of the two numbers is 76. Three times the larger number is 46 more than four times the smaller one. Find the two numbers. pipeline-1265856
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ib | — | intermediate | |
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85% of P is equal to 55% of Q, and Q is K% more than P, then what is the value of K% of 187? pipeline-1265848
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ib | — | intermediate | |
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Consider a 2-digit number N. Let P be the product of the digits of the number. If P is added to the square of the digit in the tens place of N, we get 84. If P is added to the square of the digit in the unit place of N, we get 60. What is the value of P + N? pipeline-1253494
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ib | — | intermediate | |
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If P ∶ (Q + R) = 2 ∶ 5 and R ∶ (P + Q) = 6 ∶ 7, then find the value of Q ∶(P + R) pipeline-1258280
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ib | — | 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-1255836
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ib | — | intermediate | |
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From a cake, 1/6th of it was given to Ahmed. From the remaining portion, ‘a%’ of the cake is given to Sam. If the piece with Ahmed and the remaining portion after giving it to Sam is 200% more than that with Sam, then what is the value of ‘a’? pipeline-1258291
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ib | — | 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-1233737
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ib | — | 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-1252502
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ib | — | 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-1233610
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ib | — | 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-1227932
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ib | — | intermediate | |
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Three numbers are in the ratio 19 : 21 : 23. If the difference between thrice the third number and the sum of the first and second numbers is 841. Find the difference between the first and third numbers? pipeline-1228990
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ib | — | 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-1227936
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ib | 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-1194496
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delhi_police | — | intermediate | |
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The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2? pipeline-1232109
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ib | — | intermediate | |
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Out of two numbers, 20% of the smaller number is equal to 14% of the larger number. If the sum of both the numbers is 8942, then what is the value of the larger number? pipeline-1142229
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delhi_police | — | intermediate | |
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If A:B = 6 : 8 and B:C = 7 : 12, then A:B:C is: pipeline-1172734
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delhi_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-1147254
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delhi_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-1157227
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delhi_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-1142216
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delhi_police | — | intermediate | |
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If 30% of (P + Q) = 70% of (P - Q) then Q is what percent of P? pipeline-1139181
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delhi_police | percentage | intermediate | |
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If 7A = 4B = 14C, then what is A : B : C? pipeline-1139170
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delhi_police | — | intermediate | |
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A student multiplied a number by 8/13 instead of 11/8. He further added 15 to the number. Find the percentage error in the calculation of the final number. pipeline-1134505
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delhi_police | percentage | intermediate |