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.
The following number is in proportion? : $16,18,24,27$
View full solution →The following number is in proportion? : $9,13,10,14$
View full solution →The following number is in proportion? : $4,11,22,33$
View full solution →The following number is in proportion? : $30,42,5,7$
View full solution →Find the value of x in the following proportion : $45: x:: 25: 35$
View full solution →Find the value of x in the following proportion : $x: 92:: 87: 116$
View full solution →Find the value of x in the following proportion : $27: x:: 63: 84$
View full solution →Find the value of x in the following proportion : $36: 81:: x: 63$
View full solution →Verify : $6: 45 \neq 4.8: 3.6$
View full solution →The ratio of length and breadth of a rectangular plot is $9: 5$. If its breadth is 60 m, find its length.
View full solution →The ratio of copper and zinc in an alloy is $9: 5$. If the weight of zinc in the alloy is 9.5 g, what is the weight of copper in it?s
View full solution →An electric pole casts a shadow of length 20 metres at a time when a tree 6 metres high casts a shadow of length 8 metres. Find the height of the pole.
The incomes of Ruchi and Rajan are in the ratio $4: 7$. If Ruchi earns ₹ 16800 per month, how much does Rajan earn per month?
View full solution →In a proportion, the 1st, 3rd and 4th terms are 51, 81 and 108 respectively. Find the 2nd term.
If $4: 9:: 9: x=$ _________
View full solution →If $x: 36:: 33: 108$, then $x=$ _________
View full solution →Are 3, 6, 9, 12 in proportion? _________
Is it possible to find the ratio of ₹ 12 and 24 cm ? _________
Simplest form of 78 : 91 is _________
If ₹ 120 is divided in the ratio $5: 7$, the larger part is ₹ $\left(120 \times \frac{7}{5}\right)$
View full solution →$70 P$ : ₹ $7=1: 10$.
View full solution →The ratio $70 g: 1 kg$ is not defined.
View full solution →The ratio $3: 4$ is the same as $51: 68$.
View full solution →The simplest form of $2 \frac{1}{5}: 1 \frac{2}{5}$ is $11: 7$.
View full solution →The ratio of the number of students in class VI of three schools P, Q and R is $\frac{1}{6}: \frac{1}{8}: \frac{1}{9}$ respectively. The total number of students of class VI in all the three schools is 725.
Q.1. How many students are there in class VI of school P?
(a) 275$\quad$(b) 300$\quad$(c) 330$\quad$(d) 280
Q.2. How many students are there in class VI of school Q?
(a) 240$\quad$(b) 235$\quad$(c) 265$\quad$(d) 225
Q.3. How many students are there in class VI of school R?
(a) 200$\quad$(b) 225$\quad$(c) 185$\quad$(d) 240
Q.4. If the number of students studying in each of these schools is increased by $16 \%$, $12 \%$ and $20 \%$ respectively, then the new ratio of number of class VI students in schools P, Q and R is :
(a) $21: 17: 26$$\quad$(b) $29: 21: 20$$\quad$(c) $19: 21: 20$$\quad$(d) $9: 11: 7$
View full solution →A man distributes ₹ 21600 among his three sons $A, B$ and $C$ in the ratio $5: 6: 7$ respectively.
Q.1. A's share is:
(a) ₹ 7200$\quad$(b) ₹ 6000$\quad$(c) ₹ 3600$\quad$(d) ₹ 5400
Q.2. B's share is :
(a) ₹ 7200$\quad$(b) ₹ 6400$\quad$(c) ₹ 5600$\quad$(d) ₹ 4800
Q.3. C's share is :
(a) ₹ 7600$\quad$(b) ₹ 9200$\quad$(c) ₹ 8400$\quad$(d) ₹ 8600
Q.4. If ₹ 600 is added to each of their shares, then the new ratio of their shares would be :
(a) $11: 12: 13$$\quad$(b) $11: 13: 15$$\quad$(c) $13: 15: 17$$\quad$(d) $19: 21: 23$
View full solution →The sides of a triangle are in the ratio $1: 3: 5$ and its perimeter is 90 cm. The length of its largest side is
Answer: C.
View full solution →The ratio of boys and girls in a school is $13: 8$. If the number of girls is 840, the total strength of the school is
Answer: C.
View full solution →₹ 1520 is divided between $A$ and $B$ in the ratio $8: 11$. Then, $A$ 's share is
Answer: C.
View full solution →504 is divided into two parts in the ratio $5: 7$. The larger number is
Answer: B.
View full solution →If $a: b:: c: d$, then
- A
$a c=b d$
- B
$a b=c d$
- ✓
$a d=b c$
- D
Answer: C.
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