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.

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Problems on Ages Questions

Multiple choice

My brother Sammy is three years older than me.

  1. I'm tree years younger than my brother Sammy.

  2. I'm three years youngger than my brother Sammy.

  3. I'm three years younger than my brother Sammy.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Option C is the correct sentence. It uses the correct comparative 'younger' and the correct spelling.

Multiple choice

How old is earth?

  1. 4.6 years

  2. 4.6 thousand years

  3. 4.6million

  4. 4.6 billion
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Scientific consensus based on radiometric dating of meteorites and Earth rocks places the age of the Earth at approximately 4.6 billion years.

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

The ratio of the present ages of two brothers is $1:2$ and $5$ years back the ratio was $1:3$. What will be the ratio of their ages after $5$ years?

  1. $1:4$
  2. $2:3$
  3. $3:5$
  4. $5:6$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the age of the two brothers be $x$ and $y$ respectively


Given


At present 

$\dfrac { x }{ y } =\dfrac { 1 }{ 2 } \Rightarrow y=2x$

Five years ago

$\dfrac { x-5 }{ y-5 } =\dfrac { 1 }{ 3 }$

substitute $y=2x$ 

$\dfrac { x-5 }{ 2x-5 } =\dfrac { 1 }{ 3 }$

$\Rightarrow 3x-15=2x-5\Rightarrow x=10$

$\Rightarrow y=2x=2(10)=20$

$\therefore\ x=10$ and $y=20$

Required ratio:

$\displaystyle \frac { x+5 }{ y+5 } =\frac { 10+5 }{ 20+5 } =\frac { 15 }{ 25 } =\frac { 3 }{ 5 }$

Hence option (C) is the correct option.

Multiple choice maths ratio, proportion and unitary method converting to ratios finding ratios other quantities

The ratio between the ages of $A$ and $B$ is $2 : 5$. After $8$ years, their ages will be in the ratio $1 : 2$. What is the difference between their present ages?

  1. $20$ years
  2. $22$ years
  3. $24$ years
  4. $25$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let $A = 2x; B = 5x$ be the present ages of $A$ and $B$ respectively.
After $8$ years, their ages will be $(2x + 8)$ years and $(5x + 8)$ years respectively.
Therefore, $ (2x + 8) : (5x + 8) : : 1 : 2$
$\Rightarrow  (5x + 8)\times 1 = 2(2x + 8)$
$\Rightarrow x = 8$
Thus difference of their present ages is $5x - 2x = 3x$ i.e., $24$ years.

Multiple choice time speed and distance problems involving speed word problems on speed time and distance time and distance word problems on simultaneous equations applications of simultameous equations unitary method idea of speed distance and time speed math time work and distance ratio and proportions linear equations in two variables maths

The present ages of Reena and Usha ar 24 and 36 yr respectively. What was the ratio between the ages of Usha and Reena respectively 8 yr ago?

  1. 7:4

  2. 4:7

  3. 11:8

  4. 8:11
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Age of Reena after 8yr=24−8=16yr
Age of Usha After 8yr=36−8=28
So, the ratio will be 1628=47

Multiple choice

What is the age of the universe?

  1. 13.8 billion years.

  2. 4.6 billion years.

  3. 200 million years.

  4. 10,000 years.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The age of the universe is estimated to be around 13.8 billion years, based on measurements of the cosmic microwave background radiation and other cosmological observations.

Multiple choice

What is the Social Security retirement age?

  1. 62

  2. 65

  3. 67

  4. 70
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The Social Security retirement age is 67 for people born in 1960 or later.