Question
Determine if the $24, 28, 36, 48$ are in proportion.
✓
Answer
$24 : 28$ $=\frac{24}{28}=\frac{24 \div 4}{28 \div 4}$[$\therefore$$H.C.F. (24, 28) = 4]$
$=\frac{6}{7}$ $= 6 : 7$
$36 : 48$ $=\frac{36}{48}=\frac{36 \div 12}{48 \div 12}$[$\therefore$$H.C.F. (36, 48) = 12]$
$=\frac{3}{4}$ $= 3 : 4$
$\because$ $6 : 7$ $\neq$ $3 : 4$
$\therefore$ $24, 28, 36, 48$ are not in proportion.
$=\frac{6}{7}$ $= 6 : 7$
$36 : 48$ $=\frac{36}{48}=\frac{36 \div 12}{48 \div 12}$[$\therefore$$H.C.F. (36, 48) = 12]$
$=\frac{3}{4}$ $= 3 : 4$
$\because$ $6 : 7$ $\neq$ $3 : 4$
$\therefore$ $24, 28, 36, 48$ are not in proportion.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the sum of $(– 10), (92), (84)$ and $(– 15)$
→Show that the following pairs are co-prime: $59,97$
→Ravish has $Rs. 78,592$ with him. He placed an order for purchasing $39$ radio sets at $Rs. 1234$ each. How much money will remain with him after the purchase?
→Number all the Floors in the Building of Fun.
Aarushi was given $\frac{5}{7}$ of a basket of oranges. What fraction of oranges was left in the basket.
→Using a protractor, draw $\angle B A C$ of measure $70^{\circ}$. On side $A C$, take a point $P$, such that $A P=2 cm$. From $P$ draw a line perpendicular to $A B$.
→Shape A has an area of 18 square units and Shape B has an area of 20 square units. Shape A has a longer perimeter than Shape B. Draw two such shapes satisfying the given conditions.
How quickly can you do this? Fill the appropriate sign. $('<', '=', '>')$
$\frac{2}{4} \square \frac{3}{6}$
→$\frac{2}{4} \square \frac{3}{6}$
A rectangular path of $60m$ length and $3m$ width is covered by square tiles of side $25\ cm$. How many tiles will there be in one row along its width? How many such rows will be there? Find the number of tiles used to make this path?
→Present age of father is $42$ years and his son is $14$ years. Find the ratio of age of father to the age of son when father was $30$ years old.
→