📘 Age Based Ratio Problems📚 Father Son and Grandfather Grandson Relations

Q1

The ratio of the ages of Deepika and her mother is 3 : 11. After 3 years the ratio of their ages becomes $1: 3$. What is the age of Deepika.

🎯 RRB RPF SI - 11/01/2019 (Shift-I)

📘 Age Based Ratio Problems📚 Age Becoming Multiple Times After Years

Q2

Tom's father is three times older than Tom. 10 years ago, the age of Tom's father was 7 times that of his age. What is the Tom's present age?

🎯 RRB RPF SI - 11/01/2019 (Shift-III)

📘 Age Based Ratio Problems📚 Multiple People Age with Equations

Q3

17 years later from Chetna's age will be twice as Mahim's age. Before 5 years from today Mahim's age was one year less than $\mathbf{1} / \mathbf{3}$ part of Chetna's age. What is the present age of Chetna?

🎯 RRB RPF SI - 05/01/2019 (Shift-II)

📘 Age Based Ratio Problems📚 Father Son and Grandfather Grandson Relations

Q4

The sum of the present ages of the two cousins is 54 years. Before 11 years, the elder brother was three times old as the younger one. What is the present age of the elder brother.

🎯 RRB RPF SI - 13/01/2019 (Shift-II)

📘 Age Based Ratio Problems📚 Multiple People Age with Equations

Q5

Neeraj's age is half of Suraj's age. If 8 years is subtracted from Neeraj's age and 5 years is added in Suraj's age then Suraj's age will be 5 times more than Neeraj. Two years ago Suraj's and Neeraj's age was -

🎯 RRB RPF SI - 16/01/2019 (Shift-II)

📘 Age Based Ratio Problems📚 Father Son and Grandfather Grandson Relations

Q6

The age of grand father is 5 times more than the age of grandson. Which of the following numbers not support the approximate of the total age of the grand father and his grandson?

🎯 RRB RPF SI - 10/01/2019 (Shift-III)

📘 Average Age Problems📚 Average Age n Years Ago or Hence

Q7

Four years ago, the average age of $P, Q$ and $R$ was 25 years, If three years ago, the average age of $P$ and $Q$ was 20 years, find the present age of $\mathbf{R}$.

🎯 RRB RPF SI 03/12/2024 (Shift-III)

📘 Surds and Radicals📚 Misc

Q8

If $x=3+\sqrt{6}$ and $y=3-\sqrt{6}$ then what is the value of $\mathbf{x}^{\mathbf{2}}+\mathbf{y}^{\mathbf{2}}$.

🎯 RRB RPF SI 09/12/2024 (Shift-II)

📘 Surds and Radicals📚 Misc

Q9

If $x=2+\sqrt{9}$ and $y=2-\sqrt{9}$ then what is the value of $\mathbf{x}^{\mathbf{2}}+\mathbf{y}^{\mathbf{2}}$.

🎯 RRB RPF SI 03/12/2024 (Shift-III)

📘 Basic Algebraic Expansions📚 Misc

Q10

If $\left(a^{2}-b^{2}\right) \div(a+b)=25$ then the value of $a-b$ is-

🎯 RRB RPF SI - 13/01/2019 (Shift-II)

📘 Basic Algebraic Expansions📚 Misc

Q11

Select the value which is in the following expression will replace '?' If $\mathbf{a}+\mathbf{b}+\mathbf{c}=\mathbf{0}$ then $\mathbf{a}^{\mathbf{3}} +\mathbf{b}^{\mathbf{3}}+\mathbf{c}^{\mathbf{3}}=\mathbf{?} \times \mathbf{a b c}$

🎯 RRB RPF SI - 13/01/2019 (Shift-III)

📘 Polynomial Factorization📚 Misc

Q12

What will be the remainder when $27 x^{3}-9 x^{2}+ \mathbf{3 x}-\mathbf{8}$ is divided by $\mathbf{3 x}+\mathbf{2}$

🎯 RRB RPF SI - 11/01/2019 (Shift-III)

📘 Polynomial Factorization📚 Misc

Q13

Factors of $\mathbf{x}^{\mathbf{2}}+\mathbf{7 x}+\mathbf{1 0}$ are.

🎯 RRB RPF SI - 12/01/2019 (Shift-II)

📘 Finding Roots of Quadratic Equations📚 Roots by Quadratic Formula

Q14

A root of $x^{2}-12 x+2 k=0$ is $x=4$. The other root will be -

🎯 RRB RPF SI - 06/01/2019 (Shift-I)

📘 Sum of n Terms of AP📚 Sum Given First Term Common Difference and Number of Terms

Q15

Find the three numbers in the arithmetic series whose sum is 15 and the product is 105 .

🎯 RRB RPF SI - 05/01/2019 (Shift-III)

📘 Examination and Pass Fail Results📚 Misc

Q16

A survey conducted in one area found that 50\% of people read 'A' newspaper, 40\% of people read ' $B$ ' newspaper, 20\% of people read neither newspaper A nor newspaper B. If the number of people who read both newspapers is 500. Then how many people were surveyed?

🎯 RRB RPF SI - 13/01/2019 (Shift-III)

📘 Conditions for Solutions of Two Linear Equations📚 No Solution Condition

Q17

If there is no solution of the equation $4 x+3 y+5 =0$ and $6 x-k y-7=0$, then the value of $k$ will be-

🎯 RRB RPF SI - 12/01/2019 (Shift-III)

📘 Weighted Average, Partial Averages and Overlapping Groups📚 Two Groups with Known Averages, Find Combined Average

Q18

The average of eight numbers is 20 . The average of five of these numbers is 16 . The average of the remaining three numbers is

🎯 RRB RPF SI 02/12/2024 (Shift-II)

📘 Finding Mean Value of Mixture📚 Mean Price of Mixture

Q19

A milk vendor has 40 liters of a $40 \%$ milk solution. How many liters of pure water should be added so that the resulting mixture is a $25 \%$ milk solution?

🎯 RRB RPF SI 09/12/2024 (Shift-II)

📘 Average Change by Uniform Operation📚 Each Number Increases/Decreases by Fixed Amount

Q20

The average of 7 numbers is 43 . If each number is decreased by 3, what will the new average be?

🎯 RRB RPF SI 13/12/2024 (Shift-I)

Mathematics - MOST IMPORTANT RRB RPF Previous Year Questions