MCQ 11 Mark
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
AnswerCorrect option: C. $\frac{9}{7}$
$\frac{7}{10}$ and $\frac{7}{9}$ are proper fractions as each of these have numerator less than its denominator $\frac{9}{7}$ is improper fraction.
View full question & answer→MCQ 21 Mark
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
AnswerCorrect option: C. $\frac{5}{6}$
$\frac{3}{10}+\frac{8}{15}=\frac{9+16}{30}$
$=\frac{25}{30}=\frac{5}{6}$
View full question & answer→MCQ 31 Mark
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
AnswerCorrect option: C. $2\frac{2}{5}$
$1\frac{3}{5}\div\frac{2}{3}=\frac{8}{5}\div\frac{2}{3}$
$=\frac{8}{5}\times\frac{3}{2}$ $\Big[\because\text{ Reciprocal of }\frac{2}{3}=\frac{3}{2}\Big]$
$=\Big(\frac{4\times3}{5}\Big)=\frac{12}{5}=2\frac{2}{5}$
View full question & answer→MCQ 41 Mark
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
$3\frac{1}{4}$
- ✓
AnswerReciprocal of $1\frac{3}{4}\text{ or }1\frac{7}{4}\text{ is }\frac{4}{7}$
But none of these $1\frac{3}{4},4\frac{1}{3}\text{ is }3\frac{1}{4}$ is equal to $\frac{4}{7}$
$\therefore$ None of these is reciprocal of $1\frac{3}{4}$
View full question & answer→MCQ 51 Mark
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$36\div\frac{1}{4}=36\times\frac{4}{1}=144$
View full question & answer→MCQ 61 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$1\frac{3}{5}\div\frac{2}{3}=?$
- A
$1\frac{1}{15}$
- B
$1\frac{9}{10}$
- ✓
$2\frac{2}{5}$
- D
AnswerCorrect option: C. $2\frac{2}{5}$
$\frac{8}{5}\div\frac{2}{3}=\frac{8}{5}\times\frac{3}{2}\frac{12}{5}=2\frac{2}{5}$
View full question & answer→MCQ 71 Mark
Mark $(\checkmark)$ against the correct answer in the following: $\frac{2}{3},\frac{4}{6},\frac{6}{9},\frac{8}{12}\text{ are}$
Answer$\because\frac{4}{6}=\frac{4\div2}{6\div2}=\frac{2}{3},\frac{6}{9}$
$=\frac{6\div3}{9\div3}=\frac{2}{3}$
and $\frac{8}{12}=\frac{8\div4}{12\div4}=\frac{2}{3}$
$\therefore$ Each of these fractions $=\frac{2}{3}$
View full question & answer→MCQ 81 Mark
Mark $(\checkmark)$ against the correct answer in the following: Which of the following is a reducible fraction$?$
- ✓
$\frac{105}{112}$
- B
$\frac{104}{212}$
- C
$\frac{77}{72}$
- D
$\frac{46}{63}$
AnswerCorrect option: A. $\frac{105}{112}$
$\frac{105}{112}$ is reducible fraction because $HCF\ 112 $ of $105$ and $112$ is $7$
View full question & answer→MCQ 91 Mark
Mark $(\checkmark)$ against the correct answer in the following:Reciprocal of $1\frac{3}{5}$ is.
- A
$1\frac{5}{3}$
- B
$5\frac{1}{3}$
- C
$3\frac{1}{5}$
- ✓
AnswerNone of these.
Solution:
Reciprocal of $1\frac{3}{5}$ = Reciprocal of $\frac{8}{5}=\frac{5}{8}$
View full question & answer→MCQ 101 Mark
Mark $(\checkmark)$ against the correct answer in the following: Which of the following is an irreducible fraction?
- A
$\frac{105}{112}$
- B
$\frac{66}{77}$
- ✓
$\frac{46}{63}$
- D
$\frac{51}{85}$
AnswerCorrect option: C. $\frac{46}{63}$
A fraction $\frac{\text{a}}{\text{b}}$ is said to be irreducible or in its lowest terms if the $HCF$ of $a$ and $b$ is $1$
$46 = 2 \times 23 \times 1$
$63 = 3 \times 3 \times 21 \times 1$
Clearly, the $HCF$ of $46$ and $63$ is $1.$
Hence, $\frac{46}{63}$ is an irreducible fraction.
View full question & answer→MCQ 111 Mark
Mark $(\checkmark)$ against the correct answer in the following: Lalit reads a book for $1\frac{3}{4}\text{ hours}$ every day and reads the entire book in $6$ days. How many hours does he take to read the entire book$?$
- ✓
$10\frac{1}{2}\text{ hours}$
- B
$9\frac{1}{2}\text{ hours}$
- C
$7\frac{1}{2}\text{ hours}$
- D
$11\frac{1}{2}\text{ hours}$
AnswerCorrect option: A. $10\frac{1}{2}\text{ hours}$
In one day, he reads $=1\frac{3}{4}=\frac{7}{4}\text{ hours}$
and in $6$ days he will read $=\frac{7}{4}\times6=\frac{21}{2}\text{ hours}$
$=10\frac{1}{2}\text{ hours}.$
View full question & answer→MCQ 121 Mark
Mark $(\checkmark)$ against the correct answer in the following: By what number should $2\frac{3}{5}$ be multiplied to get $1\frac{6}{7}?$
- A
$1\frac{5}{7}$
- ✓
$\frac{5}{7}$
- C
$1\frac{1}{7}$
- D
$\frac{1}{7}$
AnswerCorrect option: B. $\frac{5}{7}$
$\because$ Product $=1\frac{6}{7}=\frac{13}{7}$
One number $=2\frac{3}{5}=\frac{13}{5}$
$\therefore$ Second required number $=\frac{13}{7}\div\frac{13}{5}=\frac{13}{7}\times\frac{5}{13}=\frac{5}{7}$
View full question & answer→MCQ 131 Mark
Mark $(\checkmark)$ against the correct answer in the following: Which of the following is a vulgar fraction $?$
- A
$\frac{7}{10}$
- B
$\frac{19}{100}$
- C
$3\frac{3}{10}$
- ✓
$\frac{5}{8}$
AnswerCorrect option: D. $\frac{5}{8}$
$\frac{5}{8}$ is a vulgar fraction, because its denominator is other than $10, 100, 1000,$ etc.
View full question & answer→MCQ 141 Mark
Mark $(\checkmark)$ against the correct answer in the following: $\Big(3\frac{1}{4}-2\frac{1}{3}\Big)=?$
- A
$1\frac{1}{12}$
- B
$\frac{1}{12}$
- C
$1\frac{1}{11}$
- ✓
$\frac{11}{12}$
AnswerCorrect option: D. $\frac{11}{12}$
$\because3\frac{1}{4}-2\frac{1}{3}=\frac{13}{4}-\frac{7}{3}$
$=\frac{39-28}{12}=\frac{11}{12}$
View full question & answer→MCQ 151 Mark
Mark $(\checkmark)$ against the correct answer in the following: Which of the following is a vulgar fraction $?$
- A
$\frac{3}{10}$
- B
$\frac{13}{10}$
- ✓
$\frac{10}{3}$
- D
AnswerCorrect option: C. $\frac{10}{3}$
Denominator in $(a)$ and $(b)$ is $10$ these are decimal fractions But denominator of $(c)$ is $3\frac{10}{3}$ is a vulgar fraction.
View full question & answer→MCQ 161 Mark
Mark $(\checkmark)$ against the correct answer in the following: A car runs $9\ km$ using $1$ litre of petrol. How much distance will it cover in $3\frac{2}{3}\text{ litres}$ of petrol?
- A
$36\text{km}$
- ✓
$33\text{km}$
- C
$2\frac{5}{11}\text{km}$
- D
$22\text{km}$
AnswerCorrect option: B. $33\text{km}$
Distance covered by the car on
$3\frac{2}{3} \text{ liter}$ of petrol $=\Big(9\times3\frac{2}{3}\Big)\text{km}$
$=\Big(9\times\frac{11}{3}\Big)\text{km}$
$=(3\times11)\text{km}=33\text{km}$
View full question & answer→MCQ 171 Mark
Mark $(\checkmark)$ against the correct answer in the following: A car runs $16\ km$ using $1$ litre of petrol. How much distance will it cover in $2\frac{3}{4}\text{ litres}$ of petrol?
- A
$24\text{km}$
- B
$36\text{km}$
- ✓
$44\text{km}$
- D
$32\frac{3}{4}\text{km}$
AnswerCorrect option: C. $44\text{km}$
A car runs in $1$ litre of petrol $= 16\ km$
It will run in $2\frac{3}{4}\text{ litre}=16\times2\frac{3}{4}\text{km}$
$=16\times\frac{11}{4}\text{km}$
$=44\text{km}$
View full question & answer→MCQ 181 Mark
Mark $(\checkmark)$ against the correct answer in the following: $2\frac{1}{5}\div\frac{1}{5}=?$
- A
$1$
- B
$2$
- C
$1\frac{1}{5}$
- ✓
$1\frac{5}{6}$
AnswerCorrect option: D. $1\frac{5}{6}$
$\frac{11}{5}\div\frac{6}{5}=\frac{11}{5}\times\frac{5}{6}=\frac{11}{6}=1\frac{5}{6}$
View full question & answer→MCQ 191 Mark
Mark $(\checkmark)$ against the correct answer in the following: The reciprocal of $2\frac{1}{3}$
- A
$3\frac{1}{2}$
- B
$2\frac{1}{3}$
- C
$1\frac{1}{3}$
- ✓
$\frac{3}{5}$
AnswerCorrect option: D. $\frac{3}{5}$
Reciprocal of $1\frac{2}{3}$
$\text{or } \frac{5}{3}\text{ is }\frac{3}{5}$
View full question & answer→MCQ 201 Mark
Mark $(\checkmark)$ against the correct answer in the following: By what number should $1\frac{1}{2}$ be multiplied to get $\frac{3}{5}?$
- A
$2\frac{2}{3}$
- B
$1\frac{2}{3}$
- C
$\frac{4}{9}$
- ✓
$2\frac{1}{4}$
AnswerCorrect option: D. $2\frac{1}{4}$
Required number $=1\frac{1}{2}\div\frac{2}{3}=\frac{3}{2}\div\frac{2}{3}$
$=\frac{3}{2}\times\frac{3}{2}=\frac{9}{4}=2\frac{1}{4}$
View full question & answer→MCQ 211 Mark
Mark $(\checkmark)$ against the correct answer in the following: Which one of the following is the correct statement?
- A
$\frac{2}{3}<\frac{3}{5}<\frac{14}{15}$
- ✓
$\frac{3}{5}<\frac{2}{3}<\frac{14}{15}$
- C
$\frac{14}{15}<\frac{3}{5}<\frac{2}{3}$
- D
AnswerCorrect option: B. $\frac{3}{5}<\frac{2}{3}<\frac{14}{15}$
The correct statement will be
$\frac{2}{3},\frac{3}{5},\frac{14}{15}$
$=\frac{10,9,14}{15}$
$LCM$ of $3, 5, 15, = 15$
or $\frac{3}{5}<\frac{2}{3}<\frac{14}{15}$
View full question & answer→MCQ 221 Mark
Mark $(\checkmark)$ against the correct answer in the following: Which of the following is correct?
- A
$\frac{2}{3}<\frac{3}{5}<\frac{11}{15}$
- ✓
$\frac{3}{5}<\frac{2}{3}<\frac{11}{15}$
- C
$\frac{11}{15}<\frac{3}{5}<\frac{2}{3}$
- D
$\frac{3}{5}<\frac{11}{15}<\frac{2}{3}$
AnswerCorrect option: B. $\frac{3}{5}<\frac{2}{3}<\frac{11}{15}$
The given fractions are $\frac{2}{3},\frac{3}{5}$ and $=\frac{11}{15}$
$[LCM$ of $5, 3$ and $15 = 15]$
Now, we have:
$\frac{3}{5}\times\frac{3}{3}=\frac{9}{15},\frac{2\times5}{3\times5}$
$=\frac{10}{15}$ and $\frac{11}{15}$
Clearly,
$\frac{9}{15}<\frac{10}{15}<\frac{11}{15}$
$\therefore\frac{3}{5}<\frac{2}{3}<\frac{11}{15}$
View full question & answer→MCQ 231 Mark
Mark $(\checkmark)$ against the correct answer in the following:
Which of the following statements is true?
- A
$\frac{9}{16}=\frac{13}{24}$
- B
$\frac{9}{16}<\frac{13}{24}$
- ✓
$\frac{9}{16}>\frac{13}{24}$
- D
AnswerCorrect option: C. $\frac{9}{16}>\frac{13}{24}$
$\frac{9}{16}=\frac{13}{24}$
$\Rightarrow9\times24<13\times16$
$\Rightarrow216=208,$ which is not true.
$\frac{9}{16}<\frac{13}{24}$
$\Rightarrow9\times24>13\times16$
$\Rightarrow216>208$ Which is true.
View full question & answer→MCQ 241 Mark
Mark $(\checkmark)$ against the correct answer in the following: By what number should $1\frac{3}{4}$ be divided to get $2\frac{1}{2}?$
- A
$\frac{3}{7}$
- B
$1\frac{2}{5}$
- ✓
$\frac{7}{10}$
- D
$1\frac{3}{7}$
AnswerCorrect option: C. $\frac{7}{10}$
Required number $=1\frac{3}{4}\div2\frac{1}{2}$
$=\frac{7}{4}\div\frac{5}{2}$
$=\frac{7}{4}\times\frac{2}{5}$
$\Big[\because\text{Reciprocal of }\frac{2}{5}=\frac{2}{5}\Big]$
$=\frac{7\times1}{2\times5}=\frac{7}{10}$
View full question & answer→MCQ 251 Mark
Lalit reads a book for $1 \frac{3}{4}$ hours every day and reads the entire book in 6 days. How many hours does he take to read the entire book?
- ✓
$10 \frac{1}{2}$ hours
- B
$9 \frac{1}{2}$ hours
- C
$7 \frac{1}{2}$ hoours
- D
$11 \frac{1}{2}$ hours
AnswerCorrect option: A. $10 \frac{1}{2}$ hours
View full question & answer→MCQ 261 Mark
A car runs 16 km using 1 litre of petrol. How much distance will it cover in $2 \frac{3}{4}$ litres of petrol?
View full question & answer→MCQ 271 Mark
Which one of the following is the correct statement?
- A
$\frac{2}{3}<\frac{3}{5}<\frac{14}{15}$
- ✓
$\frac{3}{5}<\frac{2}{3}<\frac{14}{15}$
- C
$\frac{14}{15}<\frac{3}{5}<\frac{2}{3}$
- D
AnswerCorrect option: B. $\frac{3}{5}<\frac{2}{3}<\frac{14}{15}$
View full question & answer→MCQ 281 Mark
The reciprocal of $1 \frac{2}{3}$ is
- A
$3 \frac{1}{2}$
- B
$2 \frac{1}{3}$
- C
$1 \frac{1}{3}$
- ✓
$\frac{3}{5}$
AnswerCorrect option: D. $\frac{3}{5}$
View full question & answer→MCQ 291 Mark
$2 \frac{1}{5}+1 \frac{1}{5}=?$
- A
- B
- C
$1 \frac{1}{5}$
- ✓
$1 \frac{5}{6}$
AnswerCorrect option: D. $1 \frac{5}{6}$
View full question & answer→MCQ 301 Mark
$1 \frac{3}{5}+\frac{2}{3}=?$
- A
$1 \frac{1}{15}$
- B
$1 \frac{9}{10}$
- ✓
$2 \frac{2}{5}$
- D
AnswerCorrect option: C. $2 \frac{2}{5}$
View full question & answer→MCQ 311 Mark
By what number should $1 \frac{1}{2}$ be divided to get $\frac{2}{3} ?$
- A
$2 \frac{2}{3}$
- B
$1 \frac{2}{3}$
- C
$\frac{4}{9}$
- ✓
$2 \frac{1}{4}$
AnswerCorrect option: D. $2 \frac{1}{4}$
View full question & answer→MCQ 321 Mark
By what number should $2 \frac{3}{5}$ be multiplied to get $1 \frac{6}{7}$ ?
- A
$1 \frac{5}{7}$
- ✓
$\frac{5}{7}$
- C
$1 \frac{1}{7}$
- D
$\frac{1}{7}$
AnswerCorrect option: B. $\frac{5}{7}$
View full question & answer→MCQ 331 Mark
$36+\frac{1}{4}=?$
- A
- B
$\frac{1}{9}$
- C
$\frac{1}{144}$
- ✓
View full question & answer→MCQ 341 Mark
$\left(3 \frac{1}{4}-2 \frac{1}{3}\right)=?$
- A
$1 \frac{1}{12}$
- B
$\frac{1}{12}$
- C
$1 \frac{1}{11}$
- ✓
$\frac{11}{12}$
AnswerCorrect option: D. $\frac{11}{12}$
View full question & answer→MCQ 351 Mark
$\left(\frac{3}{10}+\frac{8}{15}\right)=?$
- A
$\frac{11}{10}$
- B
$\frac{11}{15}$
- ✓
$\frac{5}{6}$
- D
AnswerCorrect option: C. $\frac{5}{6}$
View full question & answer→MCQ 361 Mark
Reciprocal of $1 \frac{3}{4}$ is
- A
$1 \frac{4}{3}$
- B
$4 \frac{1}{3}$
- C
$3 \frac{1}{4}$
- ✓
View full question & answer→MCQ 371 Mark
Which of the following statements is true?
- A
$\frac{9}{16}=\frac{13}{24}$
- B
$\frac{9}{16}<\frac{13}{24}$
- ✓
$\frac{9}{16}>\frac{13}{24}$
- D
AnswerCorrect option: C. $\frac{9}{16}>\frac{13}{24}$
View full question & answer→MCQ 381 Mark
$\frac{2}{3}, \frac{4}{6}, \frac{6}{9}, \frac{8}{12}$ are
View full question & answer→MCQ 391 Mark
Which of the following is a reducible fraction?
- ✓
$\frac{105}{112}$
- B
$\frac{104}{121}$
- C
$\frac{77}{72}$
- D
$\frac{46}{63}$
AnswerCorrect option: A. $\frac{105}{112}$
View full question & answer→MCQ 401 Mark
Which of the following is an improper fraction?
- A
$\frac{7}{10}$
- B
$\frac{7}{9}$
- ✓
$\frac{9}{7}$
- D
AnswerCorrect option: C. $\frac{9}{7}$
View full question & answer→MCQ 411 Mark
Which of the following is a vulgar fraction?
- A
$\frac{3}{10}$
- B
$\frac{13}{10}$
- ✓
$\frac{10}{3}$
- D
AnswerCorrect option: C. $\frac{10}{3}$
View full question & answer→