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.
If $18, x, 50$ are in continued proportion, find the value of $x$.
View full solution →If 28 is the third proportional to 7 and $x$, find the value of $x$.
View full solution →Find the mean proportion between : $\frac{1}{7}$ and $\frac{4}{63}$
View full solution →Find the mean proportion between : 1.25 and 0.45
Find the mean proportion between : $66 \frac{2}{3}$ and 6
View full solution →A rod was cut into two pieces in the ratio $7: 5$. If the length of the smaller piece was 45.5 cm , then find the length of the longer piece.
View full solution →An alloy is to contain copper and zinc in the ratio $9: 4$. Find the quantity of zinc to be melted with $2 \frac{2}{5} kg$ of copper, to get the desired alloy.
View full solution →What number must be subtracted from each of the numbers $41,55,36,48$, so that the differences are proportional?
View full solution →The area of two rectangular fields are in the ratio $5: 9$. Find the area of the smaller field if that of the larger field is 2331 sq. metres.
View full solution →A mixture consists of only two components A and B . In 60 litres of this mixture, the components A and B are present in the ratio $2: 1$. What quantity of component B has to be added to this mixture so that the new ratio is $1: 2$ ?
View full solution →The salaries of three friends-P, Q and R are in the ratio of 5:6:8 respectively :
Q.1. If P, Q and R save $10 \%, 15 \%$ and $20 \%$ of their salaries respectively, what is the ratio of their savings ?
(a) $2: 5: 8$ $\quad$ (b) $5: 6: 8$
(c) $6: 8: 9$ $\quad$ (d) $5: 9: 16$
Q.2. If P, Q and R save one-half, one-third and one-fourth of their salaries respectively, what is the ratio of their expenditures ?
(a) $2: 3: 4$ $\quad$ (b) $5: 4: 4$
(c) $5: 4: 6$ $\quad$ (d) $5: 8: 12$
Q.3. If P, Q and R receive increments of $20\%, 10\%$ and $15\%$ respectively in their salaries, what will be the ratio of their new salaries?
(a) $25: 16: 23$ $\quad$ (b) $25: 30: 42$
(c) $30: 33: 46$ $\quad$ (d) cannot be determined
Q.4. If P's salary gets reduced by $10 \%$, Q's salary gets increased by $20 \%$ and R's salary gets reduced by $30 \%$, what will be the ratio of their new salaries ?
(a) $45: 72: 56$ $\quad$ (b) $55: 48: 104$
(c) $12: 15: 16$ $\quad$ (d) $8: 7: 12$
View full solution →If $a: b:: b: c$, then $b$ is called the mean proportion between $a$ and $c$. __________
View full solution →Three numbers $a, b, c$ are in continued proportion if $\frac{a}{b}=\frac{c}{b}$. __________
View full solution →$\frac{1}{x}: \frac{1}{y}$ is the same as $y: x$. __________
View full solution →$a: b:: c: d \Leftrightarrow a c=d b$ __________
View full solution →If a sum of ₹ 455 is divided between $A$ and $B$ in the ratio $4: 3$, then $A$ gets __________ .
View full solution →The ratio $\frac{1}{2}: \frac{1}{3}: \frac{1}{4}$ is the same as __________ .
View full solution →The mean proportion between 49 and 81 is __________ .
If $10 \%$ of $x$ is equal to $20 \%$ of $y$, then $x: y$ is equal to __________ .
View full solution →The simplest ratio of 3 hours : 1 day is __________ .
What must be added to each term of the ratio $49: 68$ so that it becomes $3: 4$ ?
Answer: A.
View full solution →A fraction bears the same ratio to $\frac{1}{27}$ as $\frac{3}{7}$ does to $\frac{5}{9}$. The fraction is
- A
$\frac{7}{45}$
- ✓
$\frac{1}{35}$
- C
$\frac{45}{7}$
- D
$\frac{5}{21}$
Answer: B.
View full solution →Third proportional to 9 and 12 is
Answer: C.
View full solution →Mean proportional between 7 and 28 is
Answer: C.
View full solution →The fourth proportional to 3,5 and 21 is
- ✓
- B
$\frac{7}{5}$
- C
$\frac{5}{7}$
- D
Answer: A.
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