Mathematics - MOST IMPORTANT RRB Ministerial & Isolated Categories Previous Year Questions
Practice real questions from previous year exams of RRB Ministerial & Isolated Categories.
📘 Age Based Ratio Problems📚 Multiple People Age with Equations
Q1
The sum of A's age and 3 times B's age is 43 years. When 5 times A's age is added to 2 times B's age. The result is 98 years. Find the sum (in years) of the ages of $A$ and $B$.
🎯 RRB Ministerial & Isolated Categories (Staff and Welfare Inspector) 10/09/2025 (Shift-III)
📘 Age Based Ratio Problems📚 Multiple People Age with Equations
Q2
The sum of A's age and 5 times B's age is 55 years. When 3 times A's age is added to 7 times B's age, the result is 99 years. The sum (in years) of the ages of $A$ and $B$.
🎯 RRB Ministerial & Isolated Categories (Librarian) 12/09/2025 (Shift-I)
📘 Age Based Ratio Problems📚 Multiple People Age with Equations
Q3
The sum of A's age and 5 times B's age is 36 years. When 3 times A's age is added to 7 times B's age, the result is 62 years. Find the sum (in years) of the ages of $A$ and $B$.
🎯 RRB Ministerial & Isolated Categories (Assistant Teacher) 12/09/2025 (Shift-II)
📘 Age Based Ratio Problems📚 Father Son and Grandfather Grandson Relations
Q4
Eight years ago, the mother's age was four times her son's age. Eight years later. the mother's age will be twice her son's age. Find the ratio of the mother's present age to the son's present age.
🎯 RRB Ministerial & Isolated Categories (All PGTs and TGTs) 10/09/2025 (Shift-II)
📘 Polygons Finding Number of Sides📚 Given Difference Between Interior and Exterior Angle
Q5
$P_{1}$ and $P_{2}$ are two reglar polygons. The sum of all interior angles of $P_{1}$ is $1800^{\circ}$ Each interior angle of $\mathbf{P}_{\mathbf{2}}$ is $\mathbf{1 2 0}^{\boldsymbol{\circ}}$ more than its exterior angle. Find the difference between the number of sides of $\mathbf{P}_{\mathbf{1}}$ and $\mathbf{P}_{\mathbf{2}}$.
🎯 RRB Ministerial & Isolated Categories 11/09/2025 (Shift-I)
📘 Rhombus📚 Misc
Q6
If the area of a rhombus is $10 \mathrm{~cm}^{2}$ and one of its interior angles is $\mathbf{1 5 0}^{\boldsymbol{\circ}}$, what is the perimeter (in cm) of the rhombus?
🎯 RRB Ministerial & Isolated Categories (Physical Training Instructor) 12/09/2025 (Shift-III)
📘 Cube📚 Volume and Surface Area from Side
Q7
If the volume of the cube is $42,875 \mathrm{~m}^{2}$. Find the lateral surface area of the cube in $\mathbf{m}^{\mathbf{2}}$.
🎯 RRB Ministerial & Isolated Categories (Junior Translator Hindi) 11/09/2025 (Shift-III)
📘 Sphere and Hemisphere📚 Volume and Surface Area of Sphere
Q8
If the diameter of the moon is approximately one-fourth the diameter of the Earth, find the ratio of their surface area.
🎯 RRB Ministerial & Isolated Categories (Staff a Welfare Inspector) 10/09/2025 (Shift-III)
📘 Sphere and Hemisphere📚 Volume and Surface Area of Sphere
Q9
If the ratio of the volume of a sphere to its surface area is 7 cm , find the surface area of the sphere.
🎯 RRB Ministerial & Isolated Categories (Primary Teacher and Primary Railway Teacher) 11/09/2025 (Shift-II)
📘 Three Dimensional Cost and Application Problems📚 Melting and Recasting Problems
Q10
216 identical solid spheres of radius 7 cm are melted to form a larger sphere. Find the diameter of the larger sphere.
🎯 RRB Ministerial & Isolated Categories (Librarian) 12/09/2025 (Shift-I)
📘 Regular Polygons📚 Area of Regular Hexagon
Q11
The area of square is $324 \mathrm{~cm}^{2}$. Its perimeter is equal to the perimeter of a regular hexagon. Find the area (in $\mathrm{cm}^{2}$ ) of the hexagon.
🎯 RRB Ministerial & Isolated Categories (All PGTs and TGTs) 10/09/2025 (Shift-II)
📘 Divisibility Rules📚 Divisibility by 7 13 and Other Primes
Q12
The number 1071819 is divisible by:
🎯 RRB Ministerial & Isolated Categories (Staff and Welfare Inspector) 10/09/2025 (Shift-III)
📘 Divisibility Rules📚 Divisibility by 7 13 and Other Primes
Q13
The number 933877 is divisible by:
🎯 RRB Ministerial & Isolated Categories (Primary Teacher and Primary Railway Teacher) 11/09/2025 (Shift-II)
📘 Divisibility Rules📚 Divisibility by Composite Numbers
Q14
The number 2017224 is NOT divisible by:
🎯 RRB Ministerial & Isolated Categories (Librarian) 12/09/2025 (Shift-I)
📘 Properties of Even Odd and Consecutive Numbers📚 Consecutive Even and Odd Numbers
Q15
Find the two consecutive odd numbers whose product is 575 ?
🎯 RRB Ministerial & Isolated Categories (Junior Translator Hindi) 11/09/2025 (Shift-III)
📘 Pipe Closed or Opened Midway📚 New Pipe Joins After Some Time
Q16
Four pipes $A, B, C$, and $D$ can fill a tank in 12, 15, 20, and 30 hours, respectively. The tank starts empty. A alone is opened for 3 hours, then $\mathbf{B}$ is opened with $\mathbf{A}$ for 2 hours, then $\mathbf{C}$ is opened with both for 1 hour, and finally all four pipes are opened together. Find the total time when tank becomes full.
🎯 RRB Ministerial & Isolated Categories (All PGTs and TGTs) 10/09/2025 (Shift-II)
📘 Pipe Closed or Opened Midway📚 Multiple Pipes Closed at Different Times
Q17
A tank has pipes $P$ and $Q$, which can fill it in 8 and 12 hours, respectively, and pipe $R$ which can empty it in 24 hours. The tank is initially one-third full. Pipes $P$ and $R$ run together for 2 hours. Then, $\mathbf{P}$ is closed and $\mathbf{Q}$ (with $\mathbf{R}$ ) runs for 3 hours. Finally, all three pipes run together. Find the total time required to fill the tank completely.
🎯 RRB Ministerial & Isolated Categories (Primary Teacher and Primary Railway Teacher) 11/09/2025 (Shift-II)
📘 Population Growth and Decline📚 Varying Rates — Mix of Growth and Decline Over Multiple Years
Q18
The population of a town increased by $10 \%$ in the first year and then decreased by $20 \%$ in the second year. If the original population was 5,000 , what is the population after two years?
🎯 RRB Ministerial & Isolated Categories (All PGTs and TGTs) 10/09/2025 (Shift-II)
📘 Population Growth and Decline📚 Constant Growth Rate Over Multiple Years
Q19
Initially, the population of a town was 80,000 and increases at the rate of $\mathrm{R} \%$. If the population becomes $1,06,480$ after three years, then the value of $\mathbf{R}$ is:
🎯 RRB Ministerial & Isolated Categories (Physical Training Instructor) 12/09/2025 (Shift-III)
📘 Successive Percentage Change📚 Three or More Successive Changes Net Effect
Q20
A number is increased by $10 \%$ and then desreased by $10 \%$. It is again increased by $10 \%$. Find the net increase or decrease percentage.
🎯 RRB Ministerial & Isolated Categories (Primary Teacher and Primary Railway Teacher) 11/09/2025 (Shift-I)