Questions & Answers: "Fractions"

Complete guide to "Fractions" for Math students. Below you will find important questions and model answers to help you prepare.

7 Questions

Explore Related Topics

We are building a dedicated quiz for this topic, but you can test your skills on a similar concept: Geometry (Angles, Circles, and 3D Nets) - Scholarship-VIII Practice Set 1.

Try Related Quiz

Question 1

1 Mark

After reading 5/9 th part and 68 pages of a book, 92 pages are still remaining. What is the total number of pages of that book?

Options

Option A is correct

360

Option B

280

Option C

153

Option D

117

View Details →

Question 2

1 Mark

The denominator of a fraction is greater than its numerator by 6. If the numerator is decreased by 1 and the denominator is increased by 9, then the new fraction is equivalent with 1/2. Find the original fraction.

Options

Option A Diagram for Option A
Option B is correctDiagram for Option B
Option C Diagram for Option C
Option D Diagram for Option D
View Details →

Question 3

1 Mark

Abdul covered 2/5th distance between the towns A and B by car and 1/2 the distance by bus. Still town B is 15 km away. What may be the distance between the town A and B?

Options

Option A

105 km

Option B

450 km

Option C

75 km

Option D is correct

150 km

View Details →

Question 4

1 Mark

Find the difference between the greatest and the smallest rational numbers given below.

Diagram for Question 4

Options

Option A is correctDiagram for Option A
Option B Diagram for Option B
Option C Diagram for Option C
Option D Diagram for Option D
View Details →

Question 5

1 Mark

Simplify

Diagram for Question 5

Options

Option A

1

Option B is correct

0

Option C Diagram for Option C
Option D Diagram for Option D
View Details →

Question 6

1 Mark

There are some birds in a sanctuary. One half of them are flying in the sky. One third are sitting on the tree and frac18\\frac{1}{8} th birds are pecking grains on the floor. The remaining 45 birds are swimming in the lake. Find the total number of birds.

Options

Option A

1248

Option B

1040

Option C

1024

Option D is correct

1080

View Details →

Question 7

1 Mark

Find the additive inverse of the product of multiplicative inverse of 7691\frac{76}{91} and multiplicative inverse of 6557\frac{65}{57}

Options

Option A

+2120+\frac{21}{20}

Option B is correct

−2120-\frac{21}{20}

Option C

+2021+\frac{20}{21}

Option D

−2021-\frac{20}{21}

Explanation

The multiplicative inverse of 7691\frac{76}{91} is 9176\frac{91}{76}. The multiplicative inverse of 6557\frac{65}{57} is 5765\frac{57}{65}. The product of these inverses is P=9176×5765P = \frac{91}{76} \times \frac{57}{65}. We can simplify this expression: P=7×134×19×3×195×13P = \frac{7 \times 13}{4 \times 19} \times \frac{3 \times 19}{5 \times 13}. Cancelling out common factors (1313 and 1919), we get P=7×34×5=2120P = \frac{7 \times 3}{4 \times 5} = \frac{21}{20}. The additive inverse of PP is −P=−2120-P = -\frac{21}{20}.

View Details →