Which of the following is equivalent to: 3×2 + 18x + 27?
Correct answer C. 3(x+3)2
Topic / 64 questions
Equations and Inequalities MCQs
Equations and Inequalities MCQs are algebra questions that ask you to solve for unknowns, rearrange formulas, find roots of quadratics and work with ranges such as -3 < x < 5. They help candidates for NTS, GAT, ECAT, SSC and bank tests build algebra speed, and every question shows the correct answer instantly so you can check your working.
- Numbers 104
- Percentage 103
- Age Questions 95
- Profit and Loss 82
- Ratio and Proportion 80
- Time and Work 73
- Alligation or Mixture 73
- Fraction and Decimal 72
- Compound Interest 71
- Simple Interest 69
- Area 64
- Volume and Surface Area 64
- Equations and Inequalities 64
- Time and Distance 64
- Simplification 60
- Permutation and Combination 59
- Average 59
- Basic Algebra 58
- Pipes and Cistern 57
- Partnership 56
- Square Root and Cube Root 51
- Problems on Numbers 47
- Probability 45
- Problems on Trains 44
- Odd Man Out and Series 43
- Surds and Indices 43
- Clock 39
- Races and Games 38
- Height and Distance 37
- True Discount 36
- Stocks and Shares 34
- Boats and Streams 34
- Banker's Discount 32
- Counting 32
- Logarithm 30
- Problems on H.C.F and L.C.M 30
- Calendar 30
- Road Problems 26
- Word Problems 25
- Men and Food 24
If x > 1 and a / b = 1 – 1 / x then b/a =?
Correct answer D. x/(x-1)
If x = 2 and y = 3 then (1 / x + 1 / y) / (xy) =?
Correct answer B. 5?36
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If r? -s and a = (r-s) / (r+s) +1 then a + 1=?
Correct answer A. 2r / (r+s) + 1
If m > 1 and mn + 3 = 3-n then n =?
Correct answer E. 0
If 6x = 2y = 3z then 9x + 5y =?
Correct answer B. 12 z
If a
Correct answer E. c/a
If x is an even integer and 4x 24 then x can be equal to?
Correct answer E. 14
The binomial x2-30 is exactly divisible by?
Correct answer A. x+5
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If 1 = m + mt2 then t =?
Correct answer E. ?(1-m)/m
(x4+y)2+(x4-y)2=?
Correct answer E. 2(x8+y2)
Which of the following is equivalent to 9×2-6x-3?
Correct answer C. (9x+3)(x-1)
If L#N then (LM-LN)/(N-M)=?
Correct answer E. ?L
7×2-4x+4-9x(2x-3)?
Correct answer C. ?11x2+23x+4
If y2-25
Correct answer D. y ? 5
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If x2 -16
Correct answer E. ?4 < x < 4
If 1? -m then (12-m2)/(1+m) = 23 then 1-m =?
Correct answer C. 23
(a10-c2)2 – (a10+c2)2 =?
Correct answer D. ?4a10c2
(x+4)(x-5) = 10 then x is?
Correct answer C. both
21d2 – 7d + 8 – 4d (2d-3) =?
Correct answer D. 13d2+5d+8
About Equations and Inequalities MCQs
This category covers the algebra most often seen in aptitude and entry tests. Questions include solving linear equations like 2a + 11 = 5 - 4a, simplifying expressions such as 21d² - 7d + 8 - 4d(2d - 3), making z the subject in pz - q = r - sz, and solving simultaneous equations. Quadratic items use a known root to find another value, while inequality questions ask for maximum values of expressions like y - x or which ordering cannot be true when x > y > z.
Algebra underpins much of the quantitative section in GAT, NTS and ECAT, and in Indian and Bangladeshi aptitude exams. Many questions are quicker to solve by substituting options or testing values than by full working. Regular practice teaches you when to use each approach and reduces sign errors. Clear algebra skills also carry over into word problems on ages, money and mixtures, where the main challenge is writing the correct equation.
Key facts to remember
- A linear equation in one variable has exactly one solution unless it is an identity or contradiction.
- Multiplying or dividing an inequality by a negative number reverses the inequality sign.
- If r is a root of a polynomial, then substituting r makes the polynomial equal to zero.
- For ax² + bx + c = 0, the sum of roots is -b/a and the product is c/a.
- x² - 16 factorises as (x - 4)(x + 4), a difference of squares.
Exams that include Equations and Inequalities MCQs
Pakistan
- NTS
- GAT
- ECAT
- NAT
- ISSB
- FPSC
India
- SSC CGL
- IBPS PO
- SBI PO
- JEE Main
- CAT and campus placements
Bangladesh
- BCS
- Bank job exams
- Engineering admission (BUET)
How to prepare for Equations and Inequalities MCQs
- Substitute answer options back into the equation when solving looks lengthy, as this often finds the answer faster.
- Always flip the inequality sign when multiplying or dividing by a negative number, a frequent trap in these questions.
- For maximum and minimum of y - x, combine the largest value of y with the smallest value of x.
- Learn standard identities such as difference of squares and perfect squares to simplify expressions in seconds.
Frequently asked questions
What do Equations and Inequalities MCQs test?
They test solving linear and simultaneous equations, rearranging formulas, simplifying algebraic expressions, finding roots of quadratic equations and working with inequalities and ranges. Many questions are word-free and focus on quick, accurate algebra. Inequality questions often ask for maximum or minimum values.
How many Equations and Inequalities MCQs are on MCQs360?
MCQs360 has 64 Equations and Inequalities MCQs, each with an instant answer. Practice is free and needs no sign-up, so you can revise algebra regularly before your aptitude or entry test. Start with linear equations before quadratics and inequalities.
Which exams ask Equations and Inequalities MCQs?
These questions appear in NTS, GAT, ECAT, NAT and ISSB tests in Pakistan. In India they are common in SSC CGL, bank PO exams, JEE Main and campus placements, and in Bangladesh in BCS, bank tests and engineering admission.
Why does an inequality sign flip when multiplying by a negative?
Multiplying by a negative number reverses the order of values on the number line. For example, 2 < 5 is true, but multiplying both sides by -1 gives -2 and -5, and -2 is greater than -5. So the sign must change to keep the statement true.
Last reviewed October 2026