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.
A uniform iron bar of length 7 m weighs 22.4 kg. How much does the same bar of length 13 m weigh?
If 8 pens cost ₹ 356, what is the cost of 14 pens?
Show that 6, 36, 216 are in continued proportion.
If 15 men can dig a trench 35 m long in 1 day, then how many men can dig a similar trench 84 m long in 1 day?
A bus is running at a uniform speed. It covers a distance of 435 km in 6 hours. How much distance will it cover in 8 hours ?
Find the fourth proportional to : $2 \frac{1}{2}, 2 \frac{6}{7}, 3 \frac{1}{2}$
View full solution →Find the fourth proportional to : $\frac{1}{3}, \frac{2}{5}, 6$
View full solution →Find the fourth proportional to : $0.6,1.5,3$
View full solution →Find the fourth proportional to : $15,6,7$
View full solution →Find the value of x : $16: x:: x: 25$
View full solution →Divide ₹ 16250 among A, B, C in the ratio 5: 7:13.
Express the ratio in simplest form : $\frac{2}{3}: \frac{5}{6}$
View full solution →Express the ratio in simplest form : $3 \frac{1}{4}: 6 \frac{1}{2}$
View full solution →If $p: q=1 \frac{1}{3}: 1 \frac{1}{2}$ and $q: r=\frac{1}{2}: \frac{1}{3}$, find $p: r$.
View full solution →Ranjan Singh makes statues of brass. Brass is an alloy of copper and zinc. Ranjan uses two varieties of brass for different kinds of statues. Variety 1 contains copper and zinc mixed in the ratio $7: 4$ and variety 2 contains these metals in the ratio $5: 3$. Ranjan makes an elephant statue from variety 1 and a horse statue from variety 2. The elephant statue weighs 176 g and it is known that the brass used in the horse statue contains 135 g zinc.
Q.1. Find the quantity of copper present in the brass used to make the elephant statue.
(a) 98 g $\quad$$\quad$(b) 112 g$\quad$$\quad$ (c) 121 g $\quad$$\quad$(d) 132 g
Q.2. How much copper is contained in the brass used to make the horse statue?
(a) 165 g $\quad$$\quad$(b) 175 g$\quad$$\quad$ (c) 205 g$\quad$$\quad$ (d) 225 g
Q.3. How much zinc is contained in the brass used to make the two statues?
(a) 169 g $\quad$$\quad$(b) 179 g$\quad$$\quad$ (c) 189 g$\quad$$\quad$ (d) 199 g
Q.4. The ratio of the quantities of copper and zinc used to make the two statues is:
(a) $113: 98$ $\quad$$\quad$(b) $337: 148$ $\quad$$\quad$(c) $221: 199$ $\quad$$\quad$(d) $337: 199$
View full solution →Ram Nath sold one of his properties worth ₹ 38,00,000. He wished to divide this money between his two daughters Priya and Seema in the ratio $7: 12$. He sold another property for ₹ 60,00,000. He divided this money between Priya and Seema in the ratio $\frac{1}{5}: \frac{1}{7}$.
Q.1. What amount did Priya receive from the sale of second property?
(a) ₹ 14,00,000 $\quad$$\quad$(b) ₹ 24,00,000$\quad$$\quad$ (c) ₹ 25,00,000 $\quad$$\quad$(d) ₹ 35,00,000
Q.2. What amount did Seema receive from the sale of first property?
(a) ₹ 14,00,000 $\quad$$\quad$(b) ₹ 24,00,000$\quad$$\quad$ (c) ₹ 25,00,000$\quad$$\quad$ (d) ₹ 49,00,000
Q.3. The difference between the total amounts received by Priya and Seema is:
(a) ₹ 0 $\quad$$\quad$(b) ₹ 1,00,000 $\quad$$\quad$(c) ₹ 2,00,000 $\quad$$\quad$(d) ₹ 5,00,000
Q.4. The ratio between the amounts received by Seema from the sale of the first and the second properties is :
(a) $1: 1$$\quad$$\quad$ (b) $12: 7$$\quad$$\quad$ (c) $24: 25$ $\quad$$\quad$(d) $14: 35$
View full solution →Divide 468 g of rice into three heaps containing the quantities in the ratio $\frac{1}{6}: \frac{1}{8}: \frac{1}{12}$.
View full solution →Divide 35 sweets between Sudha and Tanvy in the ratio $\frac{1}{2}: \frac{1}{3}$.
View full solution →Express the ratio in simplest form : 35 paise: ₹ 1
$1,2,3,4$, are in proportion.
View full solution →If $x$ is the third proportional to $a, b$, then $a: b:: b: x$.
View full solution →If $a, b, c$, are in continued proportion, then the mean proportion $b=\frac{a+c}{2}$.
View full solution →If $a: b:: c: d$, then $a, b, c, d$ are said to be in absolute proportion.
View full solution →If a, b, c, d are in proportion, then ac = bd.
In a proportion, the first and fourth terms are called the _________.
If a, b, c are in continued proportion, then c is called the __________ proportional to a and b.
If $a: b:: b: c$, then $a, b, c$ are said to be in _________ proportion.
View full solution →To convert a ratio a : b in its simplest form, we divide a and b by ________ of a and b.
Ratio has _________ unit.
Which of the following are in continued proportion?
Answer: C.
View full solution →The mean proportional between 5 and 45 is
Answer: C.
View full solution →The third proportional to 9 and 18 is
Answer: D.
View full solution →If $12: x:: 15: 25$, then the value of $x$ is
Answer: D.
View full solution →By increasing 91 in the ratio 7 : 13 we get :
Answer: B.
View full solution →