Akbar can swim at the speed of 20 km/h in still water and speed of water is 3 km/h. Find his speed in the direction of water?
Correct answer A. 23 km/h
Topic / 58 questions
Basic Algebra MCQs
Basic Algebra MCQs are aptitude questions that use letters and simple equations, testing algebraic identities, factorisation, substitution and solving for an unknown. They help candidates preparing for NTS, GAT, ECAT, ISSB, SSC CGL and bank job tests. Each question shows its correct answer instantly, so you can check your working and build accuracy with algebraic shortcuts.
- Numbers 104
- Percentage 103
- Ratio and Proportion 80
- Age Questions 80
- Time and Work 73
- Fraction and Decimal 72
- Equations and Inequalities 64
- Average 59
- Basic Algebra 58
- Probability 45
- Odd Man Out and Series 43
- Boats and Streams 34
- Counting 32
- Problems on Trains 30
- Logarithm 30
- Problems on H.C.F and L.C.M 30
- Calendar 30
- Road Problems 26
- Word Problems 25
- Men and Food 24
- Compound Interest 21
- Time and Distance 19
- Clock 19
- Area 19
- Volume and Surface Area 19
- Simple Interest 19
- Problems on Numbers 17
- Pipes and Cistern 17
- True Discount 16
- Problems on Ages 15
- Alligation or Mixture 15
- Simplification 15
- Permutation and Combination 14
- Stocks and Shares 14
- Train Problems 14
- Races and Games 13
- Mixture Problems 13
- Banker's Discount 12
- Profit and Loss 12
- Square Root and Cube Root 11
- Surds and Indices 8
- Height and Distance 7
- Partnership 6
Find the value of 6×2-2(x+1) at x=-4
Correct answer C. 102
Which one is the value of the expression 4×3+6x+3 at x=2?
Correct answer D. none
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Find the value of the function x3+9x_11 at x =3
Correct answer D. 43
If I2-256=0 the 1 =?
Correct answer D. 16
(a2bc+ab2c+abc2) / abc =
Correct answer C. a+b+c
15x+y=-7 -yx+3y=19 what is the values of 10y?
Correct answer C. both
If a=4 b=-5 then a2+b2+2ab=?
Correct answer D. 1
If 16-a=20-b then a-b =?
Correct answer A. ?4
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If (p2-q2) / (p+q) = 14 then p-q =?
Correct answer E. 14
If 10a + 36=70/b what is a x b=?
Correct answer B. 7-18b/5
If a2-9 = 0 What is the value of a?
Correct answer C. 3
If x = a+b Y=(a-b) / (a+b) then xy =?
Correct answer A. (a-b)2 / (a-b)
x2-5x-6=
Correct answer D. (x-6)(x+1)
x2+x-20=
Correct answer A. (x+5)(x-4)
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x2+3x+2=
Correct answer B. (x+2)(x+1)
What is the value of x2 + 14x + 49 when x = 83?
Correct answer D. 8100
If x2 – y2 = 58 and x-y=4 what is the average of x and y?
Correct answer B. 27
What is the value of a2-b2/a-b when a = 12.3 and b = 13.2?
Correct answer B. 25.5
Which of the following is equal to (z+1/z)2-(z-1/z)2?
Correct answer B. 4
About Basic Algebra MCQs
This category focuses on the algebra that appears in quantitative aptitude papers. Questions ask you to expand expressions such as (a+b) squared, simplify fractions like (a squared minus b squared) divided by (a minus b), factorise expressions such as 12a squared minus 144a, and substitute given values into polynomials. Many items can be solved in seconds once you recognise the identity behind them.
Other questions involve solving simple equations, for example finding m from 12/m = 15/m squared, or rearranging a formula like a = p + prt to make r the subject. Some combine two equations, such as using x squared minus y squared and x minus y to find the average of x and y. These skills are tested widely because they show clear logical thinking under time pressure.
Key facts to remember
- (a + b) squared equals a squared plus 2ab plus b squared.
- a squared minus b squared equals (a + b) multiplied by (a minus b).
- Dividing a squared minus b squared by a minus b gives a plus b.
- (a + b) squared minus (a minus b) squared equals 4ab.
- To make r the subject of a = p + prt, r equals (a minus p) divided by pt.
Exams that include Basic Algebra MCQs
Pakistan
- NTS
- GAT
- ECAT
- ISSB
- Army/Navy/PAF initial tests
- Banking job tests
India
- SSC CGL
- SSC CHSL
- IBPS PO
- SBI PO
- RRB NTPC
- CDS
Bangladesh
- Bank job exams
- BCS
- Engineering admission (BUET)
- Government job tests
How to prepare for Basic Algebra MCQs
- Memorise the standard identities for squares, cubes and the difference of squares, which solve most of these questions instantly.
- Look for a common factor or identity before substituting numbers, because simplifying first saves time and avoids arithmetic slips.
- When two equations are given, check whether dividing one by the other cancels terms neatly, as in difference of squares problems.
- Substitute an easy value like a = 1 into options to test expansions quickly when you are unsure.
Frequently asked questions
What topics are covered in Basic Algebra MCQs?
Basic Algebra MCQs cover algebraic identities, expansion and factorisation, substitution of values, simple linear and quadratic equations, rearranging formulas and simplifying algebraic fractions. Aptitude tests focus on quick recognition of identities rather than long methods, so practice improves speed significantly.
How many Basic Algebra MCQs are on MCQs360?
There are 58 Basic Algebra MCQs on MCQs360, each with an instant answer. Practice is free and needs no sign-up, so you can combine algebra with the numbers and age questions sections for full aptitude preparation.
Which exams include Basic Algebra MCQs?
Algebra questions appear in NTS, GAT, ECAT and ISSB tests, armed forces initial tests and banking job tests in Pakistan. In India they are part of SSC CGL, SSC CHSL, IBPS, SBI PO, RRB NTPC and CDS. In Bangladesh they appear in bank job exams, BCS and engineering admission tests.
How do you find the average of x and y if x squared minus y squared = 58 and x minus y = 4?
Use the identity x squared minus y squared equals (x + y)(x minus y). Substituting gives 58 = (x + y) multiplied by 4, so x + y equals 14.5. The average of x and y is half of their sum, which is 7.25.
Last reviewed October 2026