Cluster · Proportion and Variation

d
Clusters / #1132
tight score 0.27

Mean and Proportional Relationships in Ratios
Questions
293
Questions in this cluster
293 total
Question Category Subtype Difficulty

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
rpf intermediate

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
defence intermediate

M varies inversely as (N+ 3). If M = 3 when N = 3, then what will be the value of M when N= 69?

pipeline-1301801
defence intermediate

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
defence intermediate

'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
defence intermediate

Find the quotient, when the mean proportional of 7\(1\over5\) and 245 is divided by an even prime number.

pipeline-1296605
defence intermediate

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
defence intermediate

The arithmetic mean and geometric mean of two numbers are 7 and \(2{ \sqrt{10}}\) respectively, then find the numbers.

pipeline-1266119
defence intermediate

Third proportion of 15 and 120 is:

pipeline-1265959
ib intermediate

Find the third proportional of 0.9 and 1.5.

pipeline-1259560
ib intermediate

What is the third proportion of 6 and 18?

pipeline-1259345
ib intermediate

Find the third proportional to 27 and 18.

pipeline-1255981
ib intermediate

Find the fourth proportional of 144, 192, and 216.

pipeline-1255162
ib intermediate

Find the fourth proportional of 3, 7, 12.

pipeline-1243098
ib intermediate

If 40: 35:: 35: x, find the value of x.

pipeline-1251837
ib intermediate

Find 2 numbers such that their mean proportion is 25 and their third proportion is 25.

pipeline-1246993
ib intermediate

The third proportion of 9 and 24 is:

pipeline-1238398
ib intermediate

X varies directly as \(\sqrt Y\). When Y = 20.25, X = 18. When X = 7.2, then Y = ?

pipeline-1263888
ib intermediate

M varies inversely as (N+ 3). If M = 3 when N = 3, then what will be the value of M when N= 69?

pipeline-1253478
ib intermediate

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
ib intermediate

What should be subtracted from 3, 7, 4, and 6 so that they are in proportion?

pipeline-1194757
delhi_police intermediate

Find the third proportional to 8 and 20.

pipeline-1142221
delhi_police intermediate

'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
delhi_police intermediate

What is the fourth proportional to 0.12, 0.16 and 0.21?

pipeline-1097013
delhi_police intermediate

The fourth proportional to 27,108, and 165 is:

pipeline-1106765
delhi_police intermediate

What is the fourth proportional to 16, 24, 8?

pipeline-1082619
delhi_police intermediate

The fourth proportional to 4, a, and 16a is 81. What is the value of a?

pipeline-1086500
delhi_police intermediate

If x is the mean proportional between 12.8 and 64.8, then the value of x is:

pipeline-1139374
delhi_police intermediate

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
delhi_police intermediate

What smallest positive number that should be subtracted from 2 and 3 so that 4 is the third proportion to them?

pipeline-1133784
delhi_police intermediate

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
delhi_police intermediate

What is the fourth proportional to √6, √8, and √21?

pipeline-1200716
delhi_police intermediate

Find the third proportional to 27 and 18.

pipeline-1145901
delhi_police intermediate

If 27 : 81 :: x : 63, then find the value of x.

pipeline-1111434
delhi_police intermediate

If the third proportional of 3x2 and 4xy is 48, then find the positive value of y.

pipeline-1140089
delhi_police intermediate

If 405 : y :: y : 125, and y > 0, then find the value of y.

pipeline-1094748
delhi_police intermediate

Determine the fourth proportional to 11.6 m, 9.2 m, 32.8 m. (Consider up to two decimals)

pipeline-1086727
delhi_police intermediate

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
delhi_police intermediate

The third proportion of 9 and 24 is:

pipeline-1257280
delhi_police intermediate

The third proportional to 81 and 27 is:

pipeline-1082558
delhi_police intermediate

The mean proportion of 0.14 and 2.24 is:

pipeline-1257182
delhi_police intermediate

If 40: 35:: 35: x, find the value of x.

pipeline-1251267
delhi_police intermediate

Find the third proportion of P and 12, when 8, P, 16 and 18 are in proportion.

pipeline-1257082
delhi_police intermediate

Find the third proportion of 6 and 12.

pipeline-1230682
delhi_police intermediate

The square of the third proportional of 36 and 12 is _______.

pipeline-1251460
delhi_police intermediate

Find the mean proportion of 3 and 27. 

pipeline-1199481
delhi_police intermediate

What is the fourth proportion of 12, 42, 50?

pipeline-1224523
delhi_police intermediate

Find the fourth proportional to 4, 9 and 16.

pipeline-1203337
delhi_police intermediate

What is the mean proportional between 3 and 27?

pipeline-1203235
delhi_police intermediate

Find the mean proportional of 36 and 100.   

pipeline-1198596
delhi_police intermediate
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