Sample QuestionsFractions questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Mark $(\checkmark)$ against the correct answer in the following:
Wich of the following is an improper fraction?
- A
$\frac{7}{10}$
- B
$\frac{7}{9}$
- ✓
$\frac{9}{7}$
- D
Answer: C.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: $\Big(\frac{3}{10}+\frac{8}{15}\Big)=?$
- A
$\frac{11}{10}$
- B
$\frac{11}{15}$
- ✓
$\frac{5}{6}$
- D
Answer: C.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: $1\frac{3}{5}\div\frac{2}{3}=?$
- A
$1\frac{9}{10}$
- B
$1\frac{1}{15}$
- ✓
$2\frac{2}{5}$
- D
Answer: C.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: Reciprocal of $1\frac{3}{4}$ is:
- A
$1\frac{4}{3}$
- B
$4\frac{1}{3}$
- C
$3\frac{1}{4}$
- ✓
Answer: D.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: $36\div\frac{1}{4}= ?$
- A
$9$
- B
$\frac{1}{9}$
- C
$\frac{1}{144}$
- ✓
$144$
Answer: D.
View full solution →Assertion (A): The reciprocal of the fraction $\frac{8}{5}$ is $\frac{5}{8}$.
Reason (R): The reciprocal of an improper fraction is always a proper fraction.
- 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 true.
Answer: C.
View full solution →Assertion (A): $\frac{1}{4}$ and $\frac{8}{24}$ are equivalent fractions.
Reason ( R ):If $\frac{a}{b}$ and $\frac{c}{d}$ are two equivalent fractions then $a d=b c$.
- 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).
- C
Assertion (A) is true but Reason (R) is false.
- ✓
Assertion (A) is false but Reason (R) is true.
Answer: D.
View full solution →Assertion (A): $\frac{6}{11}<\frac{7}{12}$.
Reason (R): $\frac{a}{b}<\frac{c}{d}$ if $b c<a d$.
- 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 true.
Answer: C.
View full solution →Assertion (A): Aman ate $\frac{4}{7}$ of the pizza and his sister Ramya ate the remaining part. Then, $\frac{3}{7}$ of the pizza was eaten by Ramya.
Reason (R): $\frac{1}{7}+\frac{3}{7}=\frac{4}{7}$
- 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 true.
Answer: B.
View full solution →Assertion (A): The fraction $\frac{4}{9}$ is in its lowest terms.
Reason (R): The LCM of 4 and 9 is 36.
- ✓
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 true.
Answer: A.
View full solution →$\frac{9}{16}<\frac{13}{24}$
View full solution →$\frac{11}{25}$ of a litre = 440ml
View full solution →$16\frac{3}{4}\times6\frac{2}{5}=107\frac{3}{10}$
View full solution →$\frac{11}{15}-\frac{9}{20}=\frac{17}{60}$
View full solution →Among $\frac{2}{5},\frac{16}{35}$ and $\frac{9}{14}$ the largest is $\frac{16}{35}$
View full solution →$\frac{84}{98}$ (in irreducible form) = __________
View full solution →$69\frac{3}{4}\div7\frac{3}{4}=\ ......$ __________
View full solution →$41\frac{2}{3}\div18\frac{3}{5}=$ __________
View full solution →Reciprocal of $8\frac{2}{5}$ is __________
View full solution →$13\frac{1}{2}\div8=$__________
View full solution →Find: $\frac{4}{9}\text{ of }54 \text{ meters}$
View full solution →Write $'T'$ for true and $'F'$ for false the following: $\frac{9}{16}<\frac{13}{24}$
View full solution →Fill in the blanks:
$41\frac{2}{3}\div18\frac{3}{5}=\ ......$
View full solution →Fill in the blanks: $69\frac{3}{4}\div7\frac{3}{4}=\ ......$
View full solution →Write down the reciprocal of: $7$
View full solution →Define: Fractions. Give two examples.
What should be added to $7\frac{3}{5}$ to get $18?$
View full solution →Compare the fractions: $\frac{5}{9}\text{ and }\frac{11}{15}$
View full solution →Simplify:$24\div\frac{6}{7}$
View full solution →Simplify:$\frac{10}{27}\times\frac{28}{65}\times\frac{39}{56}$
View full solution →When Ram Niwas died, he left all his money for his grandchildren, 4 of whom were boys and 3 were girls. In his will he insisted that each grandchild must get equal share of the total amount of ₹$1,12,00,000$.
Q.1. What fraction of the money did the girls receive?
(a) $\frac{3}{4}$$\quad$(b)$\frac{1}{3}$$\quad$(c) $\frac{3}{7}$$\quad$(d) $\frac{3}{8}$
Q.2. What was the share of each child?
(a) ₹12,00,000$\quad$(b) ₹16,00,000$\quad$(c) ₹21,00,000$\quad$(d) ₹24,00,000
Q.3. How much money did the boys receive in total?
(a) ₹48,00,000$\quad$(b) ₹64,00,000$\quad$ (c) ₹56,00,000$\quad$(d) ₹76,00,000
Q.4. If one of the girls did not take her share and the money was divided among the remaining grandchildren, then the fraction of the money received by the boys is
(a) $\frac{1}{3}$$\quad$(b) $\frac{3}{7}$$\quad$(c) $\frac{1}{2}$$\quad$(d) $\frac{2}{3}$
View full solution →Karan, an electrician, undertook the wiring job of a building. He bought $8 \frac{1}{3}$ bundles of an electric cable. Each bundle had $184 \frac{4}{5} m$ of cable.
Q.1. Find the total length of the cable bought by Karan.
(a) 1260 m$\quad$(b) 1540 m$\quad$(c) 1440 m$\quad$(d) 1680 m
Q.2. If the cost of the cable is ₹ $7 \frac{3}{4}$ per metre, find the amount paid by Karan.
(a) ₹11,935$\quad$(b) ₹9985$\quad$(c) ₹10,105$\quad$(d) ₹10.935
Q.3. Karan used $3 \frac{3}{4}$ bundles of cable for wiring in the first floor of the building. What length of the cable was used for the first floor?
(a) 574 m $\quad$(b) 693 m$\quad$(c) 702 m$\quad$(d) 737 m
Q.4. Karan cut a length of $13 \frac{4}{5} m$ from a bundle and divided the remaining cable of this bundle into pieces of length 19 m each. How many pieces of 19 m did he get?
(a) 9$\quad$(b) 10 $\quad$(c) 11$\quad$(d) 12
View full solution →Find the difference: $\frac3{1}{5}-\frac{7}{10}=\frac{16\times2}{5\times2}=\frac{32}{10}$
View full solution →A car covers a certain distance at a uniform speed of $66\frac{2}{3}\text{km/h}$ How much distance will it cover in 9 hours?
View full solution →Vikas can cover a distance of $20\frac{2}{3}\text{km.}$ in $7\frac{3}{4}\text{hours}$ hours on foot. How many km per hour does he walk?
View full solution →Apples are sold at $\text{Rs. }48\frac{4}{5}\text{/kg}$ What is the cost of $3\frac{3}{4}\text{kg}$ of apples?
View full solution →Reenu got $\frac{2}{7}$ part of an apple while Sonal got $\frac{4}{5}$ part of it. Who got the larger part and by how much?
View full solution →