**Algebra Questions PDF For RRB Group D**

Download Top 20 RRB Group-D Algebra Questions and Answers PDF. RRB Group-D Algebra questions based on asked questions in previous exam papers very important for the Railway Group-D exam.

Download RRB Group D Algebra Questions PDF

Download RRB Group-D Previous Papers PDF

Take a RRB Group-D free mock test

**Question 1: **If (a+b)*(b+c)*(c+a) = 0, what is the value of $(a+b+c)^3$?

a) 0

b) $a^3+b^3+c^3$

c) $3a^2bc + 3b^2ca + 3c^2ab$

d) 3abc

**Question 2: **Given: a < b, c $\geq$ b and d > c. Which of the following option best describes the relationship between a and d?

a) a is less than d

b) a is less than or equal to d

c) a is equal to d

d) No relationship can be established between a and d.

**Question 3: **If $x^y + y^x$ = 1 for any value of x,what is the value of y?

a) -1

b) 0

c) 1

d) 2

**Question 4: **If 25%x + 40 % y is more than 40% x + 25% y by 15, what is the value of x – y?

a) 100

b) 0

c) -100

d) 50

**Question 5: **Which of the following is not a factor of $6x^3+ 23x^2+ 17x+6$?

a) x+3

b) 2x+1

c) 3x+2

d) 4x+4

Take a free mock test for RRB Group-D

**Question 6: **What is the value of $\frac{4.1^3 + 2.1^3}{4.1^2 + 2.1^2 – 8.61}$

a) 2

b) 6.2

c) 8.61

d) 0

**Question 7: **What is the value of x if $2^{2x} * 2^{2^{x}} * 2^{x}$ = 32?

a) 0

b) 1

c) 2

d) 4

**Question 8: **If x$\leq$y, y < z and z$\geq$w, which of the following inequalities is implied?

a) x < z

b) y$\geq$w

c) x$\leq$w

d) y>w

**Question 9: **Given a = 3, b =4 and c = 6, which of the following statements is true?

3a+ 4b -c = 20

ab + bc – ca = 18

abc – $c^2$ + ca – b = 52

$a^2c > b^2a$

a) Only 2

b) Only 4

c) Only 1 and 3

d) Only 2 and 4

**Question 10: **If $3^{y+1} – 3^{y-1}$ = 72, then what is the value of $y^2+ 2y+2$?

a) 17

b) 27

c) 37

d) 47

RRB Group D previous year papers

**Question 11: **The smallest positive integer n with 24 divisors considering 1 and n as divisors is

a) 420

b) 240

c) 360

d) 480

**Question 12: **Two numbers are less than the third number by 30% and 37% respectively. By what percent is the second number less than the first number?

a) 15%

b) 10%

c) 25%

d) 20%

**Question 13: **In an election a candidate gets 40% of votes polled and is defeated by the winning candidate by 298 votes. Find the total number of votes polled.

a) 1360

b) 1490

c) 1520

d) 1602

770 Mocks (cracku Pass) Just Rs.199

**Question 14: **The length of a rectangular hall is 8/5th of its breadth. If the perimeter of the hall is 260 feet, what is the length of the hall?

a) 60 feet

b) 70 feet

c) 80 feet

d) 90 feet

**Question 15: **For which of the following values of ‘m’ does the equation 3x + mx = 15 have exactly one solution?

a) 0

b) -3

c) -2

d) More than one of the above

RRB Group-D Important Questions (download PDF)

**Question 16: **A number is such that when 76 is subtracted from 5 times that number, the result equals that number. What is that number?

a) 19

b) 20

c) 18

d) 21

**Question 17: **Find the value of the expression:$\frac{114^3+7^3}{114^2+7^2-(114*7)}$

a) 118

b) 124

c) 125

d) 121

**Question 18: **Find the value of the following expression:$\frac{124^3+1^3+7^3-(3*124*1*7)}{124^2+1^2+7^2-(124*1)-(124*7)-(7*1)}$

a) 125

b) 132

c) 116

d) 119

General Science Notes for RRB Exams (PDF)

**Question 19: **The smallest positive integer n with 24 divisors considering 1 and n as divisors is

a) 420

b) 240

c) 360

d) 480

**Question 20: **The HCF of x and y is 15 such that both x and y are greater than 15 and x > y. Find the minimum sum of x and y.

a) 60

b) 45

c) 75

d) 30

**Answers & Solutions:**

**1) Answer (B)**

The formula we use here is $(a+b+c)^3$ = $a^3 + b^3+c^3$ + 3(a+b)(b+c)(c+a)

**2) Answer (A)**

Given: a < b, c $\geq$ b and d > c.

So, a < b $\leq$ c < d

Let’s consider the two cases:

b is less than c

So, a < b < c < d

Hence a is less than d

2) b is equal to c

So, a < b = c < d

Hence a is less than d

So, in both the possible scenarios, a is less than d

**3) Answer (B)**

We can substitute each of the values of y in the equation and easily determine that y = 0 is the only possible solution for this equation.

**4) Answer (C)**

Given: (25%x + 40 % y) – (40% x + 25% y) = 15

So, 0.15y – 0.15 x = 15

y – x = 100

So, x – y = -100

**5) Answer (D)**

We can multiply (x+3)*(2x+1)*(3x+2) to get $6x^3+ 23x^2+ 17x+6$. So, other than (d), all others are factors of expression.

**6) Answer (B)**

We use the formula $a^3 + b^3$ = (a+b) * $(a^2+b^2-ab)$

So, the answer = 4.1 + 2.1 = 6.2

**7) Answer (B)**

Given $2^{2x} * 2^{2^{x}} * 2^{x}$ = $2^5$

So, $2x + 2^x + x$ = 5

We can observe that for x = 1, we can get required value.

So, option (b) is the correct answer.

**8) Answer (A)**

Since y is less than z and x is less than or equal to y, x is less than z. So, option (a) is implied.

For options (b), (c) and (d), we have the inequality y

**9) Answer (D)**

Substituting the values in (1), we get 3 * 3 + 4 * 4 – 6 = 19

So, (1) is false.

Substituting the values in (2), we get 3 * 4 + 4 * 6 – 6 *3 = 18

So, (2) is true

Substituting the values in (3), we get 3 * 4 * 6 – 4 * 4 + 6 * 3 – 4 = 50

So, (3) is false.

Substituting the values in (4), we get 3 * 3 * 6 > 4 * 4 * 3

So, (4) is true

Hence the correct option is (d)

**10) Answer (A)**

Given: $3^{y+1} – 3^{y-1}$ = 72

Let y – 1 = x

So, y + 1 = x + 2

Hence, $3^{x+2} – 3^{x}$ = 72

So, $3^x$ (9-1) = 72

So, $3 ^ x = 3 ^ 2$

Hence x = 2.

Y = 3.

The required value = $3^2+2*3+2$ = 9 + 6 + 2 = 17

**11) Answer (C)**

Let’s use the options to solve, starting with the option having the smallest number

240=2$^{4} $ x 3 x 5

the no of factors of 240=(4+1)(1+1)(1+1)=20

So B is incorrect.

360=2$^{3}$ x 3$^{2}$ x 5

no of factors=4 x 3 x 2=24

Thus, option C is the right choice.

**12) Answer (B)**

Let the third number be x. So, the first number is .7x

The second number is .63x

So, the second number is less than the first number by .7 ie 10% of the first number.

**13) Answer (B)**

There is an assumption in the question that there are only two candidates participating in the election. One candidate got 40% votes and the other candidate got 60% votes. The difference is 20% votes which are 298. If 298 votes are 20%, 100% is how much.

= 298/20% = 1490

**14) Answer (C)**

Let the breadth be b.

So, length = 8b/5

Perimeter = 2*(b+8b/5) = 26b/5 = 260

So, b = 260*5/26 = 50 feet

So, the length of the hall is 8*50/5 = 80 feet.

**15) Answer (D)**

3x + mx = 15

=> (3+m)x = 15

=> x = 15/(3+m)

So, for all real values of m except -3, the equation has exactly one solution.

**16) Answer (A)**

Let the number be x. 5 times that number = 5x

So, 5x – 76 = x => 4x = 76

=> x = 19

**17) Answer (D)**

$\frac{114^3+7^3}{114^2+7^2-(114*7)} = \frac{(114+7)(114^2+7^2-(114*7))}{114^2+7^2-(114*7)}$ = 121

**18) Answer (B)**

$\frac{124^3+1^3+7^3-(3*124*1*7)}{124^2+1^2+7^2-(124*1)-(124*7)-(7*1)} = $\frac{(124+1+7)(124^2+1^2+7^2-(124*1)-(124*7)-(7*1))}{124^2+1^2+7^2-(124*1)-(124*7)-(7*1)}$ = 124+1+7 = 132

**19) Answer (C)**

Let’s use the options to solve, starting with the option having the smallest number

240=2$^{4} $ x 3 x 5

the no of factors of 240=(4+1)(1+1)(1+1)=20

So B is incorrect.

360=2$^{3}$ x 3$^{2}$ x 5

no of factors=4 x 3 x 2=24

Thus, option C is the right choice.

**20) Answer (C)**

x and y are of the form 15k such that k > 1.

So, minimum values of k are 2 and 3.

=> x = 45 and y = 30

=> x + y = 75

DOWNLOAD APP FOR RRB FREE MOCKS

We hope this Algebra Questions for RRB Group-D Exam will be highly useful for your preparation.