Mathematics · Quantitative Aptitude

Ratios and Proportions

302 Questions

Ratios and proportions deal with comparing two or more quantities and finding their relationships. The questions involve calculating compound ratios, duplicate ratios, and solving proportional equations. This topic is a crucial part of the mathematics and quantitative aptitude sections in competitive exams.

compound ratiosduplicate ratiosproportion equationssimple ratio calculationscombining multiple ratios

Ratios and Proportions Questions

Multiple choice

The ratio of the number of red pens in a bag to that of blue pens is 1 : 2. If 9 black pens are added, the ratio of the numbers of red, blue and black pens becomes 2 : 4 : 3. How many blue pens were in the bag

  1. 11

  2. 10

  3. 12

  4. 15

  5. N/A
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The ratio of red, blue and black pens is 2 : 4 : 3. The number of red, blue and black pens are 2x, 4x and 3x respectively. => 3 x = 9=> x = 3 Therefore the number of blue pens = 4 x = 4 x 3 = 12

Multiple choice

Compare 4/12 and 4/5

  1. <

  2. =

  3. >
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

4/12 simplifies to 1/3, which is approximately 0.33. 4/5 is 0.8. Since 0.33 < 0.8, 4/12 < 4/5.

Multiple choice conversion of time time conversion time measurement of time maths

State 'T' for true and 'F' for false.
(I) $12$ hours $:30$ hours $=8$km $:20$km
(II) The ratio of $1$ hour to one day is $1:1$
(III) The two terms of a ratio can be in two different units.

  1. (I)-T, (II)-T, (III)-T

  2. (I)-F, (II)-F, (III)-F

  3. (I)-T, (II)-F, (III)-F

  4. (I)-F, (II)-T, (III)-F
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$i)$ $12$ hours $:$ $30$ hours$=8Km:20Km$

$\cfrac{12}{30}=\cfrac{2}{5}$ hours.
$\cfrac{8}{20}=\cfrac{2}{5}$ Km.
Hence, $True.$
$ii)$ The ratio of $1$ hour to $1$ day,
$\cfrac{1\quad hour}{1\quad day}=\cfrac{1}{24}\quad hours\neq 1$
Hence, $false.$
$iii)$ The two terms of a ratio can not be in two different units.
Hence, $false$.
$(I)-T, (II)-F,(III)-F$

Multiple choice construction : division of a line segment dividing a line segment into three or five equal parts divsion of line segmet in given ratio constructions maths

A square sheet of paper $ABCD$ is so folded that $B$ falls on the mid point $M$ of $CD$. The crease will divide $BC$ in the ratio :

  1. $7:4$
  2. $5:3$
  3. $8:5$
  4. $4:1$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

This is a geometry problem involving folding a square. Let the side be 2. B is (2,2), M is (1,0). The crease is the perpendicular bisector of BM. Solving for the intersection with BC gives the ratio.