Quantitative Aptitude

Problems on Ages

346 Questions

Problems on Ages involve calculating current, past, or future ages using ratios, averages, and simple equations. These questions are a regular feature in the arithmetic section of most competitive exams. Practicing these problems helps improve calculation speed and accuracy for time management during tests.

age ratiosaverage age problemspresent age calculationsfuture age equationsfamily age puzzles

Problems on Ages Questions

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

The ratio of the present age of Manoj to that of Wasim is $3:11$. Wasim is $12\ yr$ younger than Rehana. Rehanas age after $7\ yr$ will be $85\ yr$. What is thepresent age of Manojs father, who is $25\ yr$ older than Manoj?

  1. $43\ yr$
  2. $67\ yr$
  3. $45\ yr$
  4. $69\ yr$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

 the present age of Wasim $=11x$

 present age of Manoj $=3x$

 present age of Rehana $=11x+12$
 present age of Manoj's father $=3x+25$

 after $7$ years, Rehana's age is $85$ years. 
 $11x+12+7=85$
 $ 11x=66$
 $x=6$
 
age of Manoj's father $=3 \times  6 + 25 = 43$ years. 

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

The age of  manoj  after $15$ years is $4$ times the age of that $15$ years before. His present age is 

  1. 10 years

  2. 15 years

  3. 20 years

  4. 25 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the present age of manoj be $x$ years.

According to the question,
$x+15=4(x-15)$
$x+15=4x-60$
$3x=75$
$x=25$ years


Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

A boy is now $a$ years old and his father is $5a$ years old. How old will the father be when the boy is $3a$ years old? How old was the father when the boy was born?

  1. $7a, 4a$ years
  2. $4a, 10a$ years
  3. $12a, 3a$ years
  4. $15a, 3a$ years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Difference of the age of boy and father $=5a-a=4a$

$\therefore$ The father's age when the boy is $3a$ years old $=3a+4a=7a$
When the boy was born, then the father's age $=4a$.

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

The average age of $3$ sisters is $15$. If the ages of $2$ sisters are $12$ years and $15$ years, the age of the third sister is-

  1. 21 years

  2. 17 years

  3. 18 years

  4. 16 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the ages of sisters be $x,y,z$


Given that

$\Rightarrow \dfrac{x+y+z}{3}=15$

$\Rightarrow x+y+z=45$

Given that $x,y=12,15$

$\Rightarrow 12+15+z=45$

$\Rightarrow z=18$

Therefore, age of third sister is $18 years$

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

At present anil is $1.5$ times of purvis age. $8\ yr$ later, the respective ratio between Anil and Purvis ages will be $25:18$. What is Purvis present age?

  1. $50\ yr$
  2. $28\ yr$
  3. $42\ yr$
  4. $36\ yr$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Let Present age of Purvis is $x$ then, Age of Anil will be $1.5x$
 After $8 yr$,
                   Age of anil $=1.5x+8$ And Age of Purvis $=x+8$
             $\dfrac{25}{18}=\dfrac{1.5x+8}{x+8}$
                        $x=28$
 So Age of Purvis $=28 yr$
Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

Twelve years hence a person will be four times as he was twelve years ago, then his present age is

  1. $20$ years
  2. $25$ years
  3. $28$ years
  4. $30$ years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let his present age be $x$
According to problem
$\Rightarrow\;x+12=4\;(x-12)$
$\Rightarrow\;-3x=-48-12$
$\Rightarrow\;3x=60$
$\Rightarrow\;x=20$ years.

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

A father is at present three as old as his son . Five years back he was four times as old as his son.  Find the age of his son

  1. 12 years

  2. 15 years

  3. 18 years

  4. 20 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Present age of the son is 'x' years his father's age is 3x
Five year ago:
Son's age = x - 5 and father's age = $3x - 5$
$\displaystyle \therefore 3x-5=4(x-5)$ or x = 15

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

The age of Vamsi's sister is $4\dfrac { 1 }{ 2 } $ times that of Vamsi, where as his uncle is $30$ years older than him. If the total of their ages is $56$ years, what is the age of Vamsi?

  1. $12$ years
  2. $10$ years
  3. $8$ years
  4. $4$ years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
Let the age of Vamsi be $x$.
$\therefore$ age of Vamsi's sister  $=4 \cfrac{1}{2} \times x = \cfrac{9}{2} x$
Age of Vamsi's uncle $= 30 +$ Vamsi's age $= 30 + x$
Given that:-
age of Vamsi's sister $+$ age of Vamsi + age of Vamsi's uncle $= 56$
$\Rightarrow \; x + \cfrac{9}{2} x + 30 + x = 56$
$\Rightarrow \; \cfrac{13}{2} x = 56 - 30$
$\Rightarrow$ $13x = 52$
$\Rightarrow$ $x = 4$
Hence, age of Vamsi is $4$ years.
Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

Peter's age in $10$ years will be $12$ less than $4$ times his current age. What is Peter's current age (in years)?

  1. $7.33$
  2. $7.71$
  3. $6.04$
  4. $6.49$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Peter's current age be $x$ years

According to question,

$\Rightarrow$$(x+10)=4x-12$

$\Rightarrow$$4x-(x+10)=12$

$\Rightarrow$$4x-x-10=12$

$\Rightarrow$ $3x=22$


$\Rightarrow$$x=\cfrac { 22 }{ 3 } =7.33$


Peter's age $=7.33$ years

Multiple choice maths equations and rearranging formulae further equations solving linear equations with variable on both sides equations and simple functions

Sum of the ages of three friends $x$ years ago was $y$ years. Then what will be the sum of their ages now?

  1. $3x+y$
  2. $x+3y$
  3. $3x-y$
  4. $x-3y$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let their present age be $a,b,c$


Sum of their present age $=a+b+c$

Their ages $x$ years ago $a-x,b-x,c-x$

Sum $=a+b+c-3x$

Given $a+b+c-3x=y$

$a+b+c=y+3x=3x+y$


So option $A$ is correct.

Multiple choice maths introduction to euclid's geometry conditional statements and converse euclid's postulates axioms, postulates and theorems euclid's fifth postulate

John is of the same age as Mohan. Ram is also of the same age as Mohan. State the Euclid's axiom that illustrates the relative ages of John and Ram

  1. First axiom

  2. Second axiom

  3. Third axiom

  4. Fourth axiom
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Given that
John's age=Mohan's age &
Ram's age=Mohan's age.
So, by the first axiom of Euclid, 
John's age=Ram's age.
Euclid's first axiom states that
things, which are equal to the same thing, are equal to one another.

Ans- Option A.

Multiple choice

How old is the Methuselah tree? (The oldest tree in the world)

  1. About 600 years old

  2. About 2000 years old

  3. About 5000 years old

  4. About 12000 years old
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The Great Basin bristlecone pine known as Methuselah is estimated to be approximately 4,850 years old. This makes 5,000 years the most accurate approximation among the choices.

Multiple choice business economics and quantitative methods measures of dispersion and skewness quartile deviation or semi-interquartile range interquartile range histograms and frequency distribution diagrams

For the following data, the value of $Q _1 + Q _3 - Q _2$ is :

Age in years: 20 30 40 50 60 70 80
No. of members: 3 61 132 153 140 51 3
  1. $Q _1$
  2. $Q _2$
  3. $Q _3$
  4. $2Q _2$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The cumulative frequency table is as given below

Age in years No. of students Cumulative frequency
20                   3 3
30 61 64
40 132 196
50 153 349
60 140 489
70 51 540
81 3 543
N $= $543

Lower Quartile: We have, $\displaystyle\frac{N}{4} = \displaystyle\frac{543}{4} = 135.75$
Cumulative frequency just greater than $N/4$ is $196$ and the corresponding value of the variable is $40$.
$\therefore\quad Q _1 = $ Lower Quartile = $40$ years
Middle Quartile (Medium):
We have, $\displaystyle\frac{N}{2} = \displaystyle\frac{543}{2} = 271.5$
Cumulative frequency just greater than $N/2$ is $349$ and the corresponding value of the variable is $50$.
$\therefore\quad Q _2 = $ Middle quartile = $50$ years
Upper Quartile:
We have $\displaystyle\frac{3N}{4} = \displaystyle\frac{3\times543}{4} = 407.25$
Cumulative frequency just greater than $407.25$ is $489$ and the corresponding value of the variable is $60$.
$\therefore\quad Q _3= $ Upper quartile  $=60$ years
$\therefore\quad Q _1 + Q _3 - Q _2 = 40+60-50 = 50 = Q _2$

Multiple choice biology the age of adolescence menstruation in females changes at puberty what happens if an egg is not fertilized?

In a twenty year old unmarried female who has never conceived and whose age of attainment of puberty was at twelve years. Approximately how many ovum would have been formed till date-

  1. $48-60$
  2. $96-100$
  3. $192-200$

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Puberty is the period of growth that bridges childhood to adulthood and results in physical and several maturities as well as the capacity for reproduction. Over half of pubertal timing is considered heritable.

So, the correct option is ''48-60'.

Multiple choice maths fundamental concept of ratio and proportion division problem dividing a quantity in a given ratio problems on ratios

The average age of three boys is $25$ years and their ages are in the ratio $ 3: 5 : 7$. The age of the youngest boy is

  1. $21$ years
  2. $18$ years
  3. $15$ years
  4. $9$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total age of $3$ boys $= (25 $ $\times$ $3)$ years $=75$ years. 

Ratio of their ages $ = 3 : 5 : 7$.
Age of the youngest $=$ $\displaystyle {\left (75\, \times\, \frac{3}{15} \right )}$ years $= 15$ years