Mathematics - MOST IMPORTANT RPF Constable Previous Year Questions
Practice real questions from previous year exams of RPF Constable.
📘 Age Based Ratio Problems📚 Age Ratio Change After Certain Years
Q1
Six years ago, the ratio of the ages of two persons $P$ and $Q$ was 3 : 2 . After four years, ratio of their ages will be $8: 7$. What is the age of $P$ ?
🎯 RRB RPF Constable - 19/01/2019 (Shift-II)
📘 Age Based Ratio Problems📚 Multiple People Age with Equations
Q2
The ratio of present ages of $X$ and $Y$ is $3: 4$. Five years ago the ratio of their ages was 5:7. Then what is the present age of $\mathbf{Y}$.
🎯 RRB RPF Constable - 17/01/2019 (Shift-I)
📘 Age Based Ratio Problems📚 Father Son and Grandfather Grandson Relations
Q3
A father's age is three times of his son's age and the son's age is $\mathbf{3} / \mathbf{8}$ of his mother's age. If the difference between his mother's age and the father's age is 4 years, then find the age of the son.
🎯 RRB RPF Constable - 24/01/2019 (Shift-III)
📘 Age Based Ratio Problems📚 Difference of Ages Given with Ratio
Q4
The ages of Ritika and Animesh are in the ratio of 7:9 respectively. After 6 years the ratio of their ages will be $4: 5$. What is the difference in their present ages?
🎯 RRB RPF Constable 11/03/2025 (Shift-I)
📘 Age Based Ratio Problems📚 Difference of Ages Given with Ratio
Q5
The ages of Himani and Pushpraj are in the ratio of 9:5 respectively. After 5 years the ratio of their ages will be $7: 4$. What is the difference in their present ages?
🎯 RRB RPF Constable 09/03/2025 (Shift-III)
📘 Age Based Ratio Problems📚 Difference of Ages Given with Ratio
Q6
The ages of Misha and Kamal are in the ratio of 4:3 respectively. After 9 years the ratio of their ages will be $7: 6$. What is the difference in their present ages?
🎯 RRB RPF Constable 06/03/2025 (Shift-I)
📘 Age Based Ratio Problems📚 Multiple People Age with Equations
Q7
If P's age is twice of Q's age and after 5 years the sum of their age is 70 , then find their present age (in years).
🎯 RRB RPF Constable - 22/01/2019 (Shift-II)
📘 Age Based Ratio Problems📚 Father Son and Grandfather Grandson Relations
Q8
When the age of mother was 43 years, there was a difference of 21 years between the age of mother and son. If the father is 3 years older than mother, when the father's age will be 50 years, what will be the difference between the age of father and son?
🎯 RRB RPF Constable - 20/01/2019 (Shift-II)
📘 Age Based Ratio Problems📚 Age Ratio Change After Certain Years
Q9
If the present age of $P$ is 15 years and after 6 years the age of $Q$ will becomes 26 years, then what is the ratio of their present age?
🎯 RRB RPF Constable - 25/01/2019 (Shift-III)
📘 Polynomial Factorization📚 Misc
Q10
If $2 x^{m}+x^{3}-3 x^{2}-26$ is divided by $x-2$, the remainder 994 is left, find the value of ' $\mathbf{m}$ '
🎯 RRB RPF Constable - 20/01/2019 (Shift-II)
📘 Polynomial Factorization📚 Misc
Q11
Select the correct factor of $\mathbf{f}(\mathbf{x})=\mathbf{2} \mathbf{x}^{\mathbf{2}}-\mathbf{5 x}+\mathbf{2}$
🎯 RRB RPF Constable - 20/01/2019 (Shift-III)
📘 Finding Roots of Quadratic Equations📚 Roots by Quadratic Formula
Q12
Solve the following equation to find the value of ${ }^{\prime} \mathbf{x}^{\prime} .(\mathbf{x}-\mathbf{2})^{\mathbf{2}}-\mathbf{3 6}=\mathbf{0} ; \mathbf{x} \in \mathbf{N}$
🎯 RRB Group-D - 03/10/2018 (Shift-I) RRB RPF Constable - 17/01/2019 (Shift-I)
📘 nth Term of AP📚 Find nth Term Given First Term and Common Difference
Q13
If $n=75$, then find the value of
$\left(1-\frac{1}{n}\right)+\left(1-\frac{2}{n}\right)+\left(1-\frac{3}{n}\right)+\ldots .+(50$ terms $)$
🎯 RRB RPF Constable 17/03/2025 (Shift-III)
📘 nth Term and Number of Terms in GP📚 Find nth Term Given First Term and Common Ratio
Q14
Find the numbers if the arithmetic mean and the geometric mean of the two numbers are 7 and $2 \sqrt{10}$ respectively.
🎯 RRB RPF Constable - 17/01/2019 (Shift-III)
📘 nth Term of AP📚 Find nth Term Given First Term and Common Difference
Q15
How many three digit numbers are divisible by 9 .
🎯 RRB RPF Constable - 19/01/2019 (Shift-II)
📘 Examination and Pass Fail Results📚 Misc
Q16
The number of students in a college is 5000 . 3500 students like coffee, 2500 students like tea and 2000 students like both tea and coffee. How many students don't like either of these two drinks?
🎯 RRB RPF Constable - 22/01/2019 (Shift-III)
📘 Finding Mean Value of Mixture📚 Mean Price of Mixture
Q17
A shopkeeper has two types of rice, one costing ₹60 per kg and the other costing ₹80 per kg. He mixes them in the ratio of $3: 2$. What is the price per kg of the resulting mixture?
🎯 RRB RPF Constable 06/03/2025 (Shift-I)
📘 Adding a Component to Change Mixture📚 Adding Water to Change Milk-Water Ratio
Q18
The ratio of milk and water in a 77 litre mixture is $6: 5$. Find the quantity (in litres) of water to be added to the mixture in order to make this ratio $1: 1$.
🎯 RRB RPF Constable 17/03/2025 (Shift-III)
📘 Basic Average Computation📚 Average of Two Groups Combined
Q19
Chetan bought 52 books for Rs 1125 from one shop and 48 books for Rs 925 from another. What is the average price (in Rs) he paid per book?
🎯 RRB RPF Constable 11/03/2025 (Shift-I)
📘 Basic Average Computation📚 Average of Two Groups Combined
Q20
Anwar bought 52 books for Rs 1130 from one shop and 47 books for Rs 925 from another. What is the average price (in Rs) he paid per book?
🎯 RRB RPF Constable 17/03/2025 (Shift-III)