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.
Mark against the correct answer in the following: What least number must be subtracted from each term of the ratio $15 : 19$ to make the ratio $3 : 4?$
Answer: A.
View full solution →Mark against the correct answer in the following:
The mean proportional between $9$ and $16$ is:
Answer: B.
View full solution →Mark against the correct answer in the following: If $Rs. 420$ is divided between $A$ and $B$ in the ratio $3 : 4,$ then $A’s$ share is:
- ✓
$Rs. 180$
- B
$Rs. 240$
- C
$Rs. 270$
- D
$Rs. 210$
Answer: A.
View full solution →Mark against the correct answer in the following: The boys and girls in a school are in the ratio $9 : 5.$ If the number of girls is $320,$ then the total strength of the school is:
Answer: B.
View full solution →Mark against the correct answer in the following: If $15\%$ of $A = 20\%$ of $B,$ then $A : B = ?$
- A
$3 : 4$
- ✓
$4 : 3$
- C
$17 : 16$
- D
$16 : 17$
Answer: B.
View full solution →Assertion (A): $a, b, c$ are said to be in continued proportion if $a: b:: b: c$.
Reason (R): If $a, b, c$ are in continued proportion then $b=a c$.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of
Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- ✓
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is truе.
Answer: C.
View full solution →Assertion (A): If $a: b:: c: d$ then $a \times c=b \times d$.
Reason $( R )$ : In a proportion, the product of means $=$ product of extremes.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of
Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is truе.
View full solution →Assertion (A): The ratio between 15 kg and 20 km is $3: 4$.
Reason (R): Let $m$ be any nonzero number, then for any ratio $a: b$, we have $a: b=\frac{a}{m}: \frac{b}{m}$.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of
Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- ✓
Assertion (A) is false but Reason (R) is truе.
Answer: D.
View full solution →Assertion (A): The ratio $6: 4$ can be written in the simplest form as $3: 2$.
Reason (R): The ratio $a: b$ is said to be in the simplest form if $a$ and $b$ do not have any common factor.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of
Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- ✓
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is truе.
Answer: C.
View full solution →Assertion (A): The ratio $a: b$ is the same as the fraction $\frac{a}{b}$.
Reason (R): A ratio remains unchanged if both of its terms are multiplied by the same nonzero number.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of
Assertion (A).
- ✓
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is truе.
Answer: B.
View full solution →The third proportional to 9 and 12 is 10.5
Mean proportional between 0.4 and 0.9 is .6.
If 8 : x :: 48 : 18, then x = 3.
If (3a + 5b) : (3a - 5b) = 5 : 1, then a : b = 5 : 2.
If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C = ______.
If A : B = 2 : 3 and B : C = 4 : 5, then C : A = ______.
If 16% of A = 20% of B, then A : B = _____.
Write $‘T’$ for true and $‘F’$ for false for the following: If $8 : x :: 48 : 18,$ then $x = 3.$
View full solution →Express the following ratios in the simplest form: $\frac{1}{6}:\frac{1}{9}$
View full solution →Mark against the correct answer in the following:If $A : B = 2 : 3$ and $B : C = 4 : 5$, then $C : A = ?$
- ✓
$15 : 8$
- B
$6 : 5$
- C
$8 : 5$
- D
$8 : 15$
Answer: A.
View full solution →Express the following ratios in the simplest form: $4:5:\frac{9}{2}$
View full solution →Write $‘T’$ for true and $‘F’$ for false for the following: The third proportional to $9$ and $12$ is $10.5$
View full solution →Find the mean proportional between: $0.4$ and $0.9$
View full solution →Find the third proportional to: $4.5$ and $6$
View full solution →Find the fourth proportional to the number: $8, 36, 6$
View full solution →Express the following ratios in the simplest form: $8$ months $: 1$ year
View full solution →Two numbers are in the ratio $5 : 7.$ If the sum of these numbers is $84,$ find the numbers.
View full solution →If $x : y = 6 : 11$, find $(8x - 3y) : (3x + 2y).$
View full solution →If $x : y = 3 : 4$, find $(3x + 4y) : (5x + 6y).$
View full solution →Arrange the following ratios in ascending order: $(5 : 6), (8 : 9), (11 : 18)$
View full solution →Arrange the following ratios in ascending order: $(11 : 14), (17 : 21), (5 : 7)$ and $(2 : 3)$
View full solution →If $x : y = 6 : 11$, find $(8x - 3y) : (3x + 2y).$
View full solution →View full solution →Shiv Kumar sold one of his properties for 72,00,000. He divided this money between his sons Atul and Praful in the ratio 7: 11. He sold another property for 63,00,000. He divided this money between Atul and Praful in the ratio $8 \frac{1}{3}: 6 \frac{1}{4}$.
Q.1. What amount did Praful receive from the sale of the first property?
(a) ₹28,00,000$\quad$(b) ₹36,00,000$\quad$ (c) ₹44,00,000$\quad$ (d) ₹ 56,00,000
Q.2. What amount did Atul receive from the sale of the second property?
(a) ₹28,00,000$\quad$(b) ₹ 27,00,000$\quad$(c) ₹44,00,000$\quad$(d) ₹36,00,000
Q.3. The difference between the total amounts received by Atul and Praful is
(a) ₹0$\quad$(b) ₹9,00,000 $\quad$(c) ₹7,00,000$\quad$(d) ₹8,00,000
Q.4. The ratio between the amounts recelved by Atul from the sale of the first and the second properties is
(a) 64 : 71$\quad$(b) 4 : 3$\quad$(c) 44 ; 27$\quad$(d) 7 : 9
View full solution →Two numbers are in the ratio $3 : 4.$ If their $LCM$ is $180,$ find the numbers.
View full solution →Two numbers are in the ratio $7 : 11.$ If $7$ is added to each of the numbers, the ratio becomes $2 : 3.$ Find the numbers.
View full solution →Two numbers are in the ratio $5 : 7.$ If the sum of the numbers is $720,$ find the numbers.
View full solution →Divide $Rs. 360$ between Kunal and Mohit in the ratio $7 : 8$
View full solution →If $A : B = 5 : 6,$ and $B : C = 4 : 7,$ find $A : B : C.$
View full solution →