Sample QuestionsRatio and Proportion questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
What is the mean proportional of 4 and 25?
Answer: C.
View full solution →24 bananas were distributed between Shubham and Anil in the ratio 3 : 5, then how many bananas did Shubham get?
Answer: D.
View full solution →The ages of Jatin, Nitin and Mohasin are 16, 24 and 36 years respectively. What is the ratio of Nitin’s age to Mohasin’s age ?
Answer: B.
View full solution →What is the ratio of 1 mm to 1 cm ?
Answer: C.
View full solution →If 6 : 5 = y : 20, then what will be the value of y?
Answer: B.
View full solution →$a, b, c, d$ are positive numbers and $\frac{a}{b}=\frac{c}{d}$ is given.$\quad \frac{a}{b}=\frac{ rc }{ rd }$
View full solution →$a, b, c, d$ are positive numbers and $\frac{a}{b}=\frac{c}{d}$ is given.$\quad \frac{c}{d}=\frac{c-a}{d-b}$
View full solution →$a, b, c, d$ are positive numbers and $\frac{a}{b}=\frac{c}{d}$ is given.$\frac{a}{b}=\frac{a c}{b d}$
View full solution →$a, b, c, d$ are positive numbers and $\frac{a}{b}=\frac{c}{d}$ is given.$\quad \frac{a}{c}=\frac{b}{d}$
View full solution →$a, b, c, d$ are positive numbers and $\frac{a}{b}=\frac{c}{d}$ is given. $\quad \frac{a+b}{b}=\frac{c+d}{d}$
View full solution →$a , b , c$ are in continued proportion. If $a =3$ and $c =27$, then find b .
View full solution →Check whether the following numbers are in continued proportion : 3, 5, 8
Check whether the following numbers are in continued proportion: $9,12,16$
View full solution →Check whether the following numbers are in continued proportion: $1,2,3$
View full solution →Check whether the following numbers are in continued proportion: $2,4,8$
View full solution →Write the ratio of first quantity to second quantity in the reduced form : 1.5 kg, 2500 gm
Write the ratio of first quantity to second quantity in the reduced form : 4 sq.m, 800 sq.cm
Write the ratio of first quantity to second quantity in the reduced form : 5 dozen, 120 units
Write the ratio of first quantity to second quantity in the reduced form : ₹ 17, ₹ 25 and 60 paise
Write the ratio of first quantity to second quantity in the reduced form : 1024 MB, 1.2 GB [(1024 MB = 1GB)]
If $\frac{a}{b}=\frac{2}{3}$, then find the values of the following expressions : $\frac{7 b-4 a}{7 b+4 a}$
View full solution →If $\frac{a}{b}=\frac{2}{3}$, then find the values of the following expressions : $\frac{ a ^3+ b ^3}{ b ^3}$
View full solution →If $\frac{a}{b}=\frac{2}{3}$, then find the values of the following expressions : $\frac{5 a ^2+2 b ^2}{5 a ^2-2 b ^2}$
View full solution →If $\frac{a}{b}=\frac{2}{3}$, then find the values of the following expressions : $\frac{4 a+3 b}{3 b}$
View full solution →If $a, b, c$ are in continued proportion then show that $\frac{a}{c}=\frac{a^2+a b+b^2}{b^2+b c+c^2}$
View full solution →If $\frac{2 x-3 y}{3 z+y}=\frac{z-y}{z-x}=\frac{x+3 z}{2 y-3 x}$, then prove that every ratio $=\frac{x}{y}$.
View full solution →If $a, b, c, d$ are in proportion, then prove that : $\frac{ a ^2+ ab + b ^2}{ a ^2- ab + b ^2}=\frac{ c ^2+ cd + d ^2}{c^2- cd + d ^2}$
View full solution →If $a, b, c, d$ are in proportion, then prove that : $\quad \sqrt{\frac{a^2+5 c^2}{b^2+5 d^2}}=\frac{a}{b}$
View full solution →If $a, b, c, d$ are in proportion, then prove that : $\quad \frac{11 a^2+9 a c}{11 b^2+9 b d}=\frac{a^2+3 a c}{b^2+3 b d}$
View full solution →Which number should be subtracted from $7, 12$ and $18$ such that the resultant numbers are in continued proportion?
View full solution →Solve : $\frac{14 x^2-6 x+8}{10 x^2+4 x+7}=\frac{7 x-3}{5 x+2}$
View full solution →If $\frac{y}{b+c-a}=\frac{z}{c+a-b}=\frac{x}{a+b-c}$ then prove that $\frac{a}{z+x}=\frac{b}{x+y}=\frac{c}{y+z}$.
View full solution →Find mean proportional of $\frac{x+y}{x-y}, \frac{x^2-y^2}{x^2 y^2}$.
View full solution →If $\frac{a}{b}=\frac{b}{c}$ and $a, b, c>0$, then show that, : $\frac{a^2+b^2}{a b}=\frac{a+c}{b}$
View full solution →If $\frac{a}{b}=\frac{b}{c}$ and $a, b, c>0$, then show that, : $\left(a^2+b^2\right)\left(b^2+c^2\right)=(a b+b e)^2$
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