Convert $0.25$ into fraction.
- A$ \frac{3}{4}$
- B$ \frac{1}{2}$
- ✓$ \frac{1}{4}$
- Dnone of the above
Answer: C.
View full solution →Question types
Fractions and Decimals question types
493 questions across 9 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
493
Questions
9
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
209 Q→02Assertion (A) & Reason (B) MCQ
70 Q→03True False[1 Marks ]
20 Q→04BLANKS [1 Marks Each]
40 Q→051 Marks Question
98 Q→062 Marks Questions
49 Q→075 Marks Questions
1 Q→08case /data -based (4 Marks)
5 Q→09Match the following.
1 Q→Sample Questions
Fractions and Decimals questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Improper fraction of $ \text{12}\frac{1}{6}$ is:
- A$ \frac{72}{6}$
- ✓$ \frac{73}{6}$
- C$ \frac{108}{6}$
- D$ \frac{85}{6}$
Answer: B.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: Wich of the following is an improper fraction?
- A$\frac{7}{10}$
- B$\frac{7}{9}$
- ✓$\frac{9}{7}$
- DNone of these.
Answer: C.
View full solution →Mark $(\checkmark)$ against the correct answer in the following:
$(1.007 - 0.7) = ?$
$(1.007 - 0.7) = ?$
- A$1$
- B$0.37$
- ✓$0.307$
- DNone of these
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$\frac{11}{15}$
- ✓$\frac{5}{6}$
- DNone of these.
Answer: C.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $\frac{5}{7}$ is $\frac{1}{2}$ of $\frac{10}{7}.$
Reason: $\frac{1}{2}\times\frac{10}{7}=\frac{5}{7}.$
Assertion: $\frac{5}{7}$ is $\frac{1}{2}$ of $\frac{10}{7}.$
Reason: $\frac{1}{2}\times\frac{10}{7}=\frac{5}{7}.$
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion:given figure shows a proper fraction.
Reason: Fraction is proper if the denominator is greater than the numerator $\frac{4}{8}$ is proper fraction .
Assertion:given figure shows a proper fraction.
Reason: Fraction is proper if the denominator is greater than the numerator $\frac{4}{8}$ is proper fraction .
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $\frac{25.75}{100}$ is decimal fraction.
Reason: The value of $\frac{25.75}{100}$ is $0.2575.$
Assertion: $\frac{25.75}{100}$ is decimal fraction.
Reason: The value of $\frac{25.75}{100}$ is $0.2575.$
- ABoth Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: B.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $12$ is $\frac{3}{4}$ of $24.$
Reason: $\frac{3}{4}\times24=12.$
Assertion: $12$ is $\frac{3}{4}$ of $24.$
Reason: $\frac{3}{4}\times24=12.$
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: To divide a decimal number by $100$, shift the decimal point in the decimal number to the left by as many places as there are zeros over $1$, to get the quotient.
Reason: $\frac{8.7}{100} = 0.087.$
Assertion: To divide a decimal number by $100$, shift the decimal point in the decimal number to the left by as many places as there are zeros over $1$, to get the quotient.
Reason: $\frac{8.7}{100} = 0.087.$
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Reciprocal of $4 \frac{3}{5}$ is $\frac{5}{23}$.
View full solution →$\frac{3}{5}+0=0$
View full solution →$18 \div 3$ means $18 \times \frac{1}{3}$
View full solution →Reciprocal of $\frac{4}{9}$ is $\left(-\frac{4}{9}\right)$.
View full solution →Reciprocal of $1$ does not exist.
View full solution →$0.050 kg=…………g. (5. 50, 500)$
View full solution →$0.2 \times 0.03=…………. (0.6. 0.06, 0.006)$
View full solution →$2.8 \div 0.7=…………. (0.4, 0.04, 4)$
View full solution →$35.9 \times 10=……….. (3.59. 0.359, 359)$
View full solution →The place value of $7$ in $13.267$ is………… $\left(700, \frac{7}{100}, \frac{7}{1000}\right)$
View full solution →$2.73 \div 1.3$
View full solution →Find: $37.8 \div 1.4$
View full solution →Find: $76.5 \div 0.15$
View full solution →Find : $7.75 \div 0.25$
View full solution →Find: $0.5 \div 0.25$
View full solution →A vehicle covers a distance of $43.2\ km$ in $2.4$ litres of petrol. How much distance will it cover in one litre of petrol?
View full solution →Find: $0.5$ $\div$ $1000$
View full solution →Find: $128.9$ $\div$ $1000$
View full solution →Find: $38.53$ $\div$ $1000$
View full solution →Find: $26.3$ $\div$ $1000$
View full solution →Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained $5$ litres of water. Vidya consumed $\frac{2}{5}$ of the water. Pratap consumed the remaining water.
$i.$ How much water did Vidya drink?
$ii.$ What fraction of the total quantity of water Pratap drink?
View full solution →$i.$ How much water did Vidya drink?
$ii.$ What fraction of the total quantity of water Pratap drink?
The Bureau of Indian Standards $(BIS),$ certiies the purity of gold jewellery using hallmark codes.
The $BIS$ hallmark codes for gold jewellery are given below.
$1.$ Riya purchased a gold necklace weighing $20 g$ hallmarked $18K750.$ How many grams of pure gold are in the necklace$?$
View full solution →The $BIS$ hallmark codes for gold jewellery are given below.
| Hallmark code | Purity of gold jewellery (Carats) |
| $22K916$ | $22$ |
| $18K750$ | $18$ |
| $14K585$ | $14$ |
Carat $(K)$ is a unit to measure the purity of gold. The higher the carat, the purer the gold. $24K$ gold is considered as the purest gold with no traces of any other metal in it.
$22K$ gold has $2$ parts other metals present in it.
$1.$ Puneet is a jeweller. He wants to make $18K$ gold jewellery from $22K$ gold.
What percent of other metals are to be added to the $22K$ gold$?$
$2.$ Countries have their own minimum acceptance standard for an item to be called a gold item.
The minimum accepted standard of gold is $10$ carat in the $US$ and $8$ carat in Denmark.
What is the difference in percentage of gold between the standards set by the two countries$?$
Round your answer to the nearest whole number.
View full solution →$22K$ gold has $2$ parts other metals present in it.
$1.$ Puneet is a jeweller. He wants to make $18K$ gold jewellery from $22K$ gold.
What percent of other metals are to be added to the $22K$ gold$?$
$2.$ Countries have their own minimum acceptance standard for an item to be called a gold item.
The minimum accepted standard of gold is $10$ carat in the $US$ and $8$ carat in Denmark.
What is the difference in percentage of gold between the standards set by the two countries$?$
Round your answer to the nearest whole number.
An online game has $50$ levels. A gamer is in the Gold team until he cross of the $\frac{3}{4}$ total levels. After that he is in the Platinum team.
This table shows the rewards unlocked after completing various levels.
$1.$ Mita completed $37$ levels.
Which reward would she get$?$ Justify your answer.
$2.$ Mayank is at level $15$ in the game. In which team, would he play$?$
View full solution →This table shows the rewards unlocked after completing various levels.
| Levels completed | Rewards |
| More than or equal to $\frac{4}{5}$ levels | Jeep |
| More than $\frac{3}{5}$ levels but less than $\frac{4}{5}$ levels | Dress |
| More than $\frac{2}{5}$ levels but less than $\frac{3}{5}$ levels | Face mask |
| More than $\frac{1}{5}$ levels but less than $\frac{2}{5}$ levels | Badge |
Which reward would she get$?$ Justify your answer.
$2.$ Mayank is at level $15$ in the game. In which team, would he play$?$
Insulin is a hormone made by the pancreas in the human body. It helps to regulate blood sugar level and absorbs glucose to get energy. The number of required units of insulin varies according to the individual.
In some cases, an individual body is not able to produce suficient amount of insulin. For those
individuals, supplementary units of insulin are injected into the body.
$1.$ A doctor uses this formula to calculate the daily insulin units required for Prakhar’s body.
Daily insulin requirement $($units$) = 0.55 ×$ Total body mass $($kilograms$)$
$2.$ Insulin also helps in disposing of carbohydrates in the human body.
In Prakhar’s body, $14.5$ insulin units dispose of $290$ grams of carbohydrate.
How many grams of carbohydrates are disposed of by $1$ insulin unit$?$
$A. 200$
$B. 20$
$C. 2$
$D. 0.2$
View full solution →In some cases, an individual body is not able to produce suficient amount of insulin. For those
individuals, supplementary units of insulin are injected into the body.
$1.$ A doctor uses this formula to calculate the daily insulin units required for Prakhar’s body.
Daily insulin requirement $($units$) = 0.55 ×$ Total body mass $($kilograms$)$
$2.$ Insulin also helps in disposing of carbohydrates in the human body.
In Prakhar’s body, $14.5$ insulin units dispose of $290$ grams of carbohydrate.
How many grams of carbohydrates are disposed of by $1$ insulin unit$?$
$A. 200$
$B. 20$
$C. 2$
$D. 0.2$
Shalini, Amber and Anant have dinner together. The bill for the dinner is $Rs.3277.50.$
They divide it among themselves.
$1.$ Shalini pays first, she rounds her share amount to the nearest tens.
Amber pays next, he rounds his share amount to the nearest rupees.
The remaining amount is paid by Anant.
What is the amount paid by Anant$?$
$2.$ They have some starters, some drinks and the main course in the dinner.
One-third of the bill was for drinks and one-ifth for starters.
What amount is paid for the main course?
$A. Rs 409.68$
$B. Rs 1092.50$
$C. Rs 1529.50$
$D. Rs 1748.00$
$3.$ During the dinner, they have six glasses of drinks. Amber has one-half of them and Shalini has one-third of them. Anant has rest of them.
How many glass/es does Anant have$?$
View full solution →They divide it among themselves.
$1.$ Shalini pays first, she rounds her share amount to the nearest tens.
Amber pays next, he rounds his share amount to the nearest rupees.
The remaining amount is paid by Anant.
What is the amount paid by Anant$?$
$2.$ They have some starters, some drinks and the main course in the dinner.
One-third of the bill was for drinks and one-ifth for starters.
What amount is paid for the main course?
$A. Rs 409.68$
$B. Rs 1092.50$
$C. Rs 1529.50$
$D. Rs 1748.00$
$3.$ During the dinner, they have six glasses of drinks. Amber has one-half of them and Shalini has one-third of them. Anant has rest of them.
How many glass/es does Anant have$?$
| Section $'A'$ | Section $'B'$ | Answer |
| $( 1 ) 0.3+0.1$ | $( a ) 3$ | $(1)$rarr$(d$ |
| $( 2 ) 0.3-0.1$ | $(b) 0.03$ | $(2)$rarr$1$ |
| $( 3 ) 0.3 xx0.1$ | $(c) 0.2$ | $(3)$rarr$1b$ |
| $( 4 ) 0.3-:0.1$ | $(d) 0.4$ | $(4)$rarr$1-a$ |
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