RRB Mathematics - Age and Calculation
Exam Duration: 45 Mins Total Questions : 30
The ratio between the present ages of P and Q is 6 :7.If Q is 4 years old than P,what will be the ratio of the ages P and Q after 4 years?
- (a)
3 : 4
- (b)
3 : 5
- (c)
4 : 3
- (d)
Data inadequate
- (e)
None of these
Lets P's age and Q's age be 6x years and 7x years respectively.
Then,7x-6x=4 \(\Leftrightarrow \) x = 4.
\(\therefore\) Required ratio = (6x + 4) : (7x + 4) = 28 : 32 = 7 : 8.
At present,the ratio between the ages of Arun and Deepak is 4:3 After 6 years,Arun's age will be 26 years,What is the age of the Deepak at present?
- (a)
12 years
- (b)
15 years
- (c)
19\(\frac{1}{2}\) years
- (d)
21 years
Present ages of X and Y are in the ratio 5 : 6 respectively.Seven years hence this ratio will become 6 : 7 respectively.What is X's present age in years ?
- (a)
35
- (b)
42
- (c)
49
- (d)
Cannot be determined
- (e)
None of these
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively.Three years hence,the ratio of their ages will become 11 : 9 respectively.What is Anand's present age in years?
- (a)
24
- (b)
27
- (c)
40
- (d)
Cannot be determined
- (e)
None of these
The ratio of the father's age to his son's age is 7 : 3.The product of their ages is 756.The ratio of their ages after 6 years will be :
- (a)
5 : 2
- (b)
2 : 1
- (c)
11 : 7
- (d)
13 : 9
Let the present ages of the father and son be 7x and 3x years respectively.
Then, \(7x\quad \times \quad 3x=756\quad \Leftrightarrow \quad 21{ x }^{ 2 }=756\quad \Leftrightarrow \quad { x }^{ 2 }=36\quad \Leftrightarrow \quad x=6.\)
\(\therefore \) Required ratio=(7x+6) : (3x+6) =48:24 =2:1.
The present ages of three persons are in proportions 4 : 7 : 9.Eight years ago,the sum of their ages was 56.Find their present ages (in years).
- (a)
8,20,28
- (b)
16,28,36
- (c)
20,35,45
- (d)
None of these
Let their present ages be 4x, 7x and 9x years respectively.
Then (4x-8) + (7x-8) + (9x-8) =36 \(\Leftrightarrow \) 20x=80 \(\Leftrightarrow \) x=4.
\(\therefore \) Their present ages are 16 years, 28 years and 36 years respectively.
The ratio between the school ages of Neelam and Shaan is 5 : 6 respectively. If the ratio between the one - third age of Neelam and half of Shaan's age is 5 : 9,then what is the school age of Shaan?
- (a)
25 years
- (b)
30 years
- (c)
36 years
- (d)
Cannot be determined
- (e)
None of these
The ratio between the present ages of A and B is 5 : 3 respectively.The ratio between A's age 4 years ago and B's age 4 years hence is 1 : 1.What is the ratio between A's age 4 years hence and B's age 4 years ago?
- (a)
1 : 3
- (b)
2 : 1
- (c)
3 : 1
- (d)
4 : 1
- (e)
None of these
A is two years older than B who is twice as old as C.If the total of the ages of A,B and C be 27,then how old is B?
- (a)
7
- (b)
8
- (c)
9
- (d)
10
- (e)
11
A man is 24 years older than his son.In two years,his age will be twice the age of his son.The present age of the son is :
- (a)
14 years
- (b)
18 years
- (c)
20 years
- (d)
22 years
Let the son's present age be x years. Then, man's present age=(x+24) years.
\(\therefore \) (x+24) + 2 =2(x+2) \(\Leftrightarrow \) x+26 =2x+4 \(\Leftrightarrow \) x=22.
A person's present age is two-fifth of the age of his mother.After 8 years,he will be one-half the age of his mother.How old is the mother at present ?
- (a)
32 years
- (b)
36 years
- (c)
40 years
- (d)
48 years
Tanya's grandfather was 8 times older to her 16 years ago.He would be 3 times of her age 8 years from now.Eight years ago,what was the ratio of Tanya's age to that of her grandfather?
- (a)
1 : 2
- (b)
1 : 5
- (c)
3 : 8
- (d)
None of these
Four years ago,the father's age was three times the age of his son.The total of the ages of the father and the son after four years,will be 64 years.What is the father's age at present ?
- (a)
32 years
- (b)
36 years
- (c)
44 years
- (d)
Data inadequate
- (e)
None of these
The sum of the present ages of a father and his son is 60 years.Six years ago,father's age was five times the age of the son.After 6 years,son's age will be:
- (a)
12 years
- (b)
14 years
- (c)
18 years
- (d)
20 years
The total age of A nad B is 12 years more than the total age of B and C.C is how many years younger than A ?
- (a)
12
- (b)
24
- (c)
C is elder than A
- (d)
Data inadequate
- (e)
None of these
\((A+B)-(B+C)=12\quad \Leftrightarrow \quad A-C=12.\)
Q is as much younger than R as he is older than T.If the sum of the ages of R and T is 50 years,what is definitely the difference between R and Q's age?
- (a)
1 year
- (b)
2 years
- (c)
25 years
- (d)
Data inadequate
- (e)
None of these
\(R-Q=R-T\quad \Rightarrow Q=T.\quad Also,\quad R+T=50\quad \Rightarrow \quad R+Q=50.\)
So, (R-Q) cannot be determined.
The sum of the ages of a father and his son is 45 years.Five years ago,the product of their ages was 34.The ages of the son and the father are respectively :
- (a)
6 and 39
- (b)
7 and 38
- (c)
9 and 36
- (d)
11 and 34
Rajan got married 8 years ago.His present age is \(\frac{6}{5}\)times his age at the time of his marriage.Rajan's sister was 10 years younger to him at the time of his marriage.The age of Rajan's sister is :
- (a)
32 years
- (b)
36 years
- (c)
38 years
- (d)
40 years
Father is aged three times more than his son Ronit.After 8 years,he would be two and a half times of Ronit's age.After further 8 years,how many times would he be of Ronit's age?
- (a)
2 times
- (b)
\(2\frac {1}{2}\) times
- (c)
\(2\frac {3}{4}\)times
- (d)
3 times
The difference between the ages of two persons is 10 years.Fifteen years ago, the elder one was twice as old as the younger one.The present age of the elder person is :
- (a)
25 years
- (b)
35 years
- (c)
45 years
- (d)
55 years
If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18,then the present age of his grandson Anup is obtained.If Anup is 2 years younger to Madan whose age is 5 years,then what is Gagan's present age?
- (a)
48 years
- (b)
60 years
- (c)
84 years
- (d)
96 years
Anup's age=(5-2) years =3 years. Let Gagan's age be x years.
\(Then,\quad \frac { x-6 }{ 18 } =3\quad \Leftrightarrow \quad x-6=54\quad \Leftrightarrow \quad x=60.\)
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born.What is the difference between the ages of her parents ?
- (a)
2 years
- (b)
4 years
- (c)
6 years
- (d)
8 years
My brother is 3 years elder to me.My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born.If my sister was 4 years of age when my brother was born,then,what was the age of my father and mother respectively when my brother was born ?
- (a)
32 yrs,23 yrs
- (b)
32 yrs,29 yrs
- (c)
35 yrs,29 yrs
- (d)
35 yrs,33 yrs
The sum of the ages of P,Q and R is 96 years.What is the age of Q ?
I.P is 6 years older than R.
II.The total of the ages of Q and R is 56 years.
- (a)
if the data in Statement I alone are sufficient to answer the question,while the data in Statement II alone are not sufficient to answer the question
- (b)
if the data in Statement II alone are sufficient to answer the question,while the data in Statement I alone are not sufficient to answer the question
- (c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
if the data even in both Statements I and II together are not sufficient to answer the question
- (e)
if the data in both Statements I and II together are necessary to answer the question.
What is Sonia's present age?
I.Sonia's present age is five times Deepak's present age.
II.Five years ago her age was twenty-five times Deepak's age at that time.
- (a)
if the data in Statement I alone are sufficient to answer the question,while the data in Statement II alone are not sufficient to answer the question
- (b)
if the data in Statement II alone are sufficient to answer the question,while the data in Statement I alone are not sufficient to answer the question
- (c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
if the data even in both Statements I and II together are not sufficient to answer the question
- (e)
if the data in both Statements I and II together are necessary to answer the question.
How old is C now?
I.Three years ago,the average of A and B was 18 years.
II.With C joining them now,the average becomes 22 years.
- (a)
if the data in Statement I alone are sufficient to answer the question,while the data in Statement II alone are not sufficient to answer the question
- (b)
if the data in Statement II alone are sufficient to answer the question,while the data in Statement I alone are not sufficient to answer the question
- (c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
if the data even in both Statements I and II together are not sufficient to answer the question
- (e)
if the data in both Statements I and II together are necessary to answer the question.
What is the ratio between the ages of the father and the son ?
I.The sum of their ages is 50 years.
II.3 times the sum of their ages is equal to 5 times the father's age.
- (a)
if the data in Statement I alone are sufficient to answer the question,while the data in Statement II alone are not sufficient to answer the question
- (b)
if the data in Statement II alone are sufficient to answer the question,while the data in Statement I alone are not sufficient to answer the question
- (c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
if the data even in both Statements I and II together are not sufficient to answer the question
- (e)
if the data in both Statements I and II together are necessary to answer the question.
What is the present age of Tanya ?
I.The ratio between the present ages of Tanya and her brother Rahul is 3 : 4 respectively.
II.After 5 years the ratio between the ages of Tanya and Rahul will be 4 : 5.
III.Rahul is 5 years older than Tanya.
- (a)
I and II only
- (b)
II and III only
- (c)
I and III only
- (d)
All I,II and III
- (e)
Any two of the three
What is Ravi's present age ?
I.The present age of Ravi is half of that of his father.
II.After 5 years,the ratio of Ravi's age to that of his father's age will be 6 : 11.
III.Ravi is 5 years younger than his brother.
- (a)
I and II only
- (b)
II and III only
- (c)
I and III only
- (d)
All I,II and III
- (e)
Even with all the three statements answer cannot be given
What is the ratio of the present ages of Anna and her mother ?
I.The sum of the ages of Anna ,her mother and her father is 62.
II.Five years ago,Anna's age was one-fifth of her father's age.
III.Two years ago,the sum of the ages of Anna and her father was 36.
- (a)
I or II only
- (b)
II or III only
- (c)
III only
- (d)
I or III only
- (e)
All I,II and III are required.