Cluster · Proportion and Variation
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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If (x + 1) : (x + 5) :: (x + 17) : (x + 53) then what is the mean proportional between (x + 5) and (9x−1) where x > 0? pipeline-481736
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rpf | — | intermediate | |
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Find the fourth proportion of \(\frac{1}{3}\)rd of 15, \(\frac{4}{5}\)th of 25, \(\frac{3}{7}\)th of 35. pipeline-1301809
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defence | — | intermediate | |
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M varies inversely as (N2 + 3). If M = 3 when N = 3, then what will be the value of M when N2 = 69? pipeline-1301801
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defence | — | intermediate | |
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A question is given, followed by three statements labelled I, II, and III. Identify which of the statements is/are sufficient to answer the question. What is the value of A when D = 7? Statements: I. A varies directly with the sum of B and C. B varies directly with D, and C varies directly with D2. II. When D = 3, A = 33. III. When D = 4, A = 52. pipeline-1301860
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defence | — | intermediate | |
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'x' varies directly with the cube of 'y' , and inversely with the square of 'z'. if x = \(1\over{36}\)when y = 2 and z = 3, then what is the value of 800x when y = 3 and z = 5? pipeline-1290056
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defence | — | intermediate | |
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Find the quotient, when the mean proportional of 7\(1\over5\) and 245 is divided by an even prime number. pipeline-1296605
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defence | — | intermediate | |
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p varies directly as (x2 + y2 + z2). When x = 1, y = 2, z = 3, then p = 70. What is the value of p when x = -1, y = 1, z = 5? pipeline-1272470
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defence | — | intermediate | |
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The arithmetic mean and geometric mean of two numbers are 7 and \(2{ \sqrt{10}}\) respectively, then find the numbers. pipeline-1266119
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defence | — | intermediate | |
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Third proportion of 15 and 120 is: pipeline-1265959
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ib | — | intermediate | |
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Find the third proportional of 0.9 and 1.5. pipeline-1259560
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ib | — | intermediate | |
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What is the third proportion of 6 and 18? pipeline-1259345
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ib | — | intermediate | |
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Find the third proportional to 27 and 18. pipeline-1255981
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ib | — | intermediate | |
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Find the fourth proportional of 144, 192, and 216. pipeline-1255162
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ib | — | intermediate | |
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Find the fourth proportional of 3, 7, 12. pipeline-1243098
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ib | — | intermediate | |
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If 40: 35:: 35: x, find the value of x. pipeline-1251837
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ib | — | intermediate | |
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Find 2 numbers such that their mean proportion is 25 and their third proportion is 25. pipeline-1246993
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ib | — | intermediate | |
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The third proportion of 9 and 24 is: pipeline-1238398
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ib | — | intermediate | |
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X varies directly as \(\sqrt Y\). When Y = 20.25, X = 18. When X = 7.2, then Y = ? pipeline-1263888
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ib | — | intermediate | |
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M varies inversely as (N2 + 3). If M = 3 when N = 3, then what will be the value of M when N2 = 69? pipeline-1253478
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ib | — | intermediate | |
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If x is added to 15, 33, 7 and 17 then the number so obtained in this order are in proportion. What is the value of x? pipeline-1259223
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ib | — | intermediate | |
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What should be subtracted from 3, 7, 4, and 6 so that they are in proportion? pipeline-1194757
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delhi_police | — | intermediate | |
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Find the third proportional to 8 and 20. pipeline-1142221
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delhi_police | — | intermediate | |
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'x' varies directly with the cube of 'y' , and inversely with the square of 'z'. if x = \(1\over{36}\)when y = 2 and z = 3, then what is the value of 800x when y = 3 and z = 5? pipeline-1172737
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delhi_police | — | intermediate | |
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What is the fourth proportional to 0.12, 0.16 and 0.21? pipeline-1097013
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delhi_police | — | intermediate | |
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The fourth proportional to 27,108, and 165 is: pipeline-1106765
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delhi_police | — | intermediate | |
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What is the fourth proportional to 16, 24, 8? pipeline-1082619
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delhi_police | — | intermediate | |
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The fourth proportional to 4, a, and 16a is 81. What is the value of a? pipeline-1086500
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delhi_police | — | intermediate | |
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If x is the mean proportional between 12.8 and 64.8, then the value of x is: pipeline-1139374
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delhi_police | — | intermediate | |
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If x and y are inversely proportional to each other and x = 27 when y = 7, then what is the value of x when y = 21? pipeline-1131191
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delhi_police | — | intermediate | |
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What smallest positive number that should be subtracted from 2 and 3 so that 4 is the third proportion to them? pipeline-1133784
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delhi_police | — | intermediate | |
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If (x + 1) : (x + 5) :: (x + 17) : (x + 53) then what is the mean proportional between (x + 5) and (9x−1) where x > 0? pipeline-1085568
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delhi_police | — | intermediate | |
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What is the fourth proportional to √6, √8, and √21? pipeline-1200716
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delhi_police | — | intermediate | |
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Find the third proportional to 27 and 18. pipeline-1145901
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delhi_police | — | intermediate | |
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If 27 : 81 :: x : 63, then find the value of x. pipeline-1111434
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delhi_police | — | intermediate | |
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If the third proportional of 3x2 and 4xy is 48, then find the positive value of y. pipeline-1140089
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delhi_police | — | intermediate | |
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If 405 : y :: y : 125, and y > 0, then find the value of y. pipeline-1094748
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delhi_police | — | intermediate | |
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Determine the fourth proportional to 11.6 m, 9.2 m, 32.8 m. (Consider up to two decimals) pipeline-1086727
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delhi_police | — | intermediate | |
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A certain number is subtracted from each of the numbers 20, 24 and 29. After subtraction, those numbers are proportional. What is the number subtracted? pipeline-1096960
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delhi_police | — | intermediate | |
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The third proportion of 9 and 24 is: pipeline-1257280
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delhi_police | — | intermediate | |
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The third proportional to 81 and 27 is: pipeline-1082558
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delhi_police | — | intermediate | |
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The mean proportion of 0.14 and 2.24 is: pipeline-1257182
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delhi_police | — | intermediate | |
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If 40: 35:: 35: x, find the value of x. pipeline-1251267
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delhi_police | — | intermediate | |
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Find the third proportion of P and 12, when 8, P, 16 and 18 are in proportion. pipeline-1257082
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delhi_police | — | intermediate | |
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Find the third proportion of 6 and 12. pipeline-1230682
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delhi_police | — | intermediate | |
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The square of the third proportional of 36 and 12 is _______. pipeline-1251460
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delhi_police | — | intermediate | |
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Find the mean proportion of 3 and 27. pipeline-1199481
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delhi_police | — | intermediate | |
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What is the fourth proportion of 12, 42, 50? pipeline-1224523
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delhi_police | — | intermediate | |
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Find the fourth proportional to 4, 9 and 16. pipeline-1203337
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delhi_police | — | intermediate | |
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What is the mean proportional between 3 and 27? pipeline-1203235
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delhi_police | — | intermediate | |
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Find the mean proportional of 36 and 100. pipeline-1198596
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delhi_police | — | intermediate |