Algebra is one of the most important parts of mathematics in the RRB NTPC Exam. In this article, we will cover the most important topics in Elementary Algebra. We will also be providing a set of mock questions for the candidates. All RRB NTPC Exam Aspirants must check this article to get a good understanding of the elementary algebra section and understand the question types.
Elementary Algebra for RRB NTPC Concepts
As an exam aspirant, candidates must understand the basic concepts of Elementary Algebra properly. Some of the important parts of Elementary Algebra include
- Algebraic quantities include rational and irrational numbers, constants, and variables.
- Mathematical operations with algebraic fractions
- Evaluation of algebraic expressions and equations
- Equalities and inequalities
- Linear equations having one or two variables
- Word problems based on algebraic quantities and equations formed by them
Preparation strategy for Elementary Algebra for RRB NTPC
Candidates need to have a solid preparation strategy to ace the exam. We have given below some RRB NTPC Preparation Strategy for candidates:
- Clear your basic concepts
- Practice two variables as well as three-variable questions.
- Practice linear equations in two variables type questions.
- Identify your strengths and weaknesses, then give more time to understand the concept of difficult topics.
- Start doing problems based on different topics and try to solve them within a limited time.
- To increase the speed of calculation, do a lot of problems daily.
- Maintain accuracy while managing the problem-solving time.
- Doing difficult problems increases clarity towards the concepts and accuracy.
Elementary Algebra Mock Questions
To understand the difficulty level of algebraic questions and the RRB NTPC Exam Pattern, we have provided a set of mock elementary algebra questions. Given below are the questions and answers:
Ques 1. Find the value of x.
3(2x – 1) + 5 = 2(2x + 2)
- 2
- -2
- 1
- -1
Answer key: c
Ques.2. If 2x – y = 6 and x = 4, then find the value of y.
- 3
- 1/3
- 1/2
- 2
Answer key: d
Ques.3. What is the value of (x + 1)(3x – 4)?
- 3x2 – x – 4
- 2x2 + 3x – 6
- 2x2 + x – 8
- 3x2 – 7x – 4
Answer key: a
Ques.4. The sum of two numbers is 20 and the difference between them is 4. Find the larger number.
- 14
- 12
- 16
- 10
Answer key: b
Ques.5. If 4x2 + 11x – 3 = 0, then find the value of x.
- 1/4, -3
- -2, 1/3
- 2, -1/3
- -1/4, 3
Answer key: a
Ques 6. Solve for xx:
5x−3=2x+95x – 3 = 2x + 9
a) 3
b) 4
c) 5
d) 2
Answer key: a
Ques 7. What is the value of (x+2)(x−5)(x + 2)(x – 5)?
a) x2−3x−10x^2 – 3x – 10
b) x2+7x−10x^2 + 7x – 10
c) x2−7x+10x^2 – 7x + 10
d) x2−3x+10x^2 – 3x + 10
Answer key: a
Ques 8. If 3x+4=193x + 4 = 19, find xx.
a) 4
b) 5
c) 6
d) 7
Answer key: b
Ques 9. The product of two consecutive odd numbers is 143. Find the numbers.
a) 9 and 11
b) 11 and 13
c) 13 and 15
d) 7 and 9
Answer key: b
Ques 10. Solve:
2×3+1=5×6\frac{2x}{3} + 1 = \frac{5x}{6}
a) 2
b) 3
c) 4
d) 6
Answer key: c
Ques 11. Find the roots of the quadratic equation:
x2−5x+6=0x^2 – 5x + 6 = 0
a) 1, 6
b) 2, 3
c) -2, -3
d) 1, -6
Answer key: b
Ques 12. If x+y=10x + y = 10 and x−y=2x – y = 2, find the value of xx.
a) 5
b) 6
c) 7
d) 8
Answer key: c
Ques 13. Solve for xx:
2x+5=3x−72x + 5 = 3x – 7
a) 12
b) -12
c) -2
d) 2
Answer key: b
Ques 14. What is the square of (2x−3)(2x – 3)?
a) 4×2−94x^2 – 9
b) 4×2−12x+94x^2 – 12x + 9
c) 4×2+94x^2 + 9
d) 2×2−6x+92x^2 – 6x + 9
Answer key: b
Ques 15. If x2=81x^2 = 81, then x=x = ?
a) ±9
b) 9
c) -9
d) 0
Answer key: a
Ques 16. Simplify:
(x+3)2(x + 3)^2
a) x2+6x+9x^2 + 6x + 9
b) x2+9x+9x^2 + 9x + 9
c) x2+3x+3x^2 + 3x + 3
d) x2+3x+9x^2 + 3x + 9
Answer key: a
Ques 17. Solve:
x−23=4\frac{x – 2}{3} = 4
a) 14
b) 12
c) 10
d) 8
Answer key: a
Ques 18. If x=3x = 3, what is the value of x2+2x−1x^2 + 2x – 1 ?
a) 13
b) 14
c) 16
d) 17
Answer key: c
Ques 19. Factorize:
x2−7x+12x^2 – 7x + 12
a) (x−3)(x−4)(x – 3)(x – 4)
b) (x+3)(x+4)(x + 3)(x + 4)
c) (x−2)(x−6)(x – 2)(x – 6)
d) (x−1)(x−12)(x – 1)(x – 12)
Answer key: a
Ques 20. Solve:
6x−(2x+5)=116x – (2x + 5) = 11
a) 4
b) 5
c) 6
d) 7
Answer key: a
That’s all from us in this article. We hope this helps in your preparation for the Elementary Algebra section in the RRB NTPC.
FAQs
Algebra is one of the most important parts of mathematics in the RRB NTPC Exam. As an exam aspirant, candidates must understand the basic concepts of Elementary Algebra properly.
Algebraic quantities include rational and irrational numbers, constants, and variables.
The important topics in Algebra include real and complex numbers, variables, algebraic expressions, and equations.
The RRB NTPC Maths section is estimated to be of easy to moderate level difficulty.
Books such as Quantitative Aptitude by RS Aggarwal, Fast Track by Rajesh Verma, NCERT Maths from Grade 6 to Grade 11, Magical Books on Quicker Maths by M Tyra
and Advance Maths by Rakesh Yadav are good for mathematics.
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