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Algebraic Identities Questions

Practice 45 Algebraic Identities questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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45
Total Questions
🟢
6
Easy
🟡
39
Medium
🔴
0
Hard
Practice by Exam:Quantitative Aptitude(44)Quantitative Aptitude@NUM: 53(1)

About Algebraic Identities — practice questions, PYQs & concepts

Algebraic Identities is a frequently-tested topic on Quantitative Aptitude, Quantitative Aptitude@NUM: 53. ExamTest.live currently lists 45 Algebraic Identities questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Algebraic Identities weight in competitive exams

Across our Algebraic Identities question bank, the largest sources are Quantitative Aptitude (44) and Quantitative Aptitude@NUM: 53 (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 6 easy Algebraic Identities questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Algebraic Identities Questions(1–45 of 45)

Filter:
Q1mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
7% accuracy
The value of is:
Q2mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If and , then the value of is equal to:
Q3mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If , then the value of is:
Q4mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Simplify the given expression:
Q5mediummcqQuantitative AptitudeCompetitive Exam 20262026
0% accuracy
If sinθ+cscθ=5, then the value of sin
3
θ+csc
3
θ is:
Q6mediummcqQuantitative AptitudeCompetitive Exam 20262026
0% accuracy
Simplify the following expression:
(x+y)(x−y)(x
2
+y
2
)(x
4
+y
4
)(x
8
+y
8
)(x
1
6+y
1
6)
Q7mediummcqQuantitative AptitudeCompetitive Exam 20262026
0% accuracy
If x+
x
1
​
=15, then the value of (x
2
+
x
2

1
​
) is:
Q8mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If p=106, q=105 and r=104, then the value of p
2
+q
2
+r
2
−pq−qr−rp is:
Q9mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If x+y=18 and xy=9, then the value of (
y
x
​
+
x
y
​
) will be:
Q10mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Simplify the expression:
15×15×15+3×15×12×12−3×15×15×12−12×12×12
Q11mediummcqQuantitative AptitudeCompetitive Exam Practice Paper2026
0% accuracy
If the average of and () is , then the average of and is :
Q12mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
If the sum of two numbers and is and their product is , then find the sum of their cubes.
Q13mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
If , then one of the values of the expression is _______.
Q14mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
is a/an:
Q15mediummcqQuantitative AptitudePrepp2026
0% accuracy
If , , and , then find the value of .
Q16easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
If , find the value of .
Q17mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If and , then find the value of .
Q18easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
0% accuracy
If x+
x
1
​
=5, then find the value of x
2
+
x
2

1
​
.
Q19mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
100% accuracy
If x+
x
1
​
=1−
2

​
, then find the value of x
3
+
x
3

1
​
.
Q20mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
Find the value of 22.2×22.2+124.32+2.8×2.8.
Q21mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
If
y
x
​
+
x
y
​
=1, and x,y

=0, then find the value of x
6
+y
6
+2x
3
y
3
.
Q22mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
नि म्नलि खि त व्यंजक का मा न क्या हो गा ?
Q23mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
नि म्नलि खि त व्यंजक का मा न क्या हो गा ?
Q24mediummcqQuantitative AptitudePrepp2026
If , then what is the value of ?
Q25mediummcqQuantitative AptitudePrepp2026
If , then find the value of .
Q26mediummcqQuantitative AptitudePrepp2026
Simplify the following expression:
Q27mediummcqQuantitative AptitudeSSC CGL2026
If for a non-zero x, 7x
2
+5x+7=0, then x
3
+
x
3

1
​
is ________.
Q28easymcqQuantitative AptitudeAdda2472026
Which of the following is the output of ?
Q29mediummcqQuantitative AptitudeCompetitive Exam Practice2026
Simplify the expression (0.3−0.2)(0.3
2
+0.3×0.2+0.2
2
).
Q30mediummcqQuantitative AptitudeStaff Selection Commission2026
Simplify the following expression: (x−3y)
3
+27(y
3
−xy
2
)
Q31mediummcqQuantitative AptitudeStaff Selection Commission2026
If x
3
=184+y
3
and x=4+y, then the value of (x+y) is (given that x>0 and y>0):
Q32mediummcqQuantitative AptitudeCompetitive Exam2026
If x+y=10 and xy=12, find the value of x
2
−xy+y
2
.
Q33mediummcqQuantitative AptitudeCompetitive Exam2026
Simplify :
Q34mediummcqQuantitative AptitudeCompetitive Exam2026
Find the value of when .
Q35easymcqQuantitative AptitudeSSC CGL2026
Simplify the following expression:
49a
2
+70ab+25b
2
Q36mediummcqQuantitative AptitudeSSC CGL2026
Simplify the expression:
(0.2)
3
+(0.3)
3
+(0.5)
3
+3×0.5×0.7×0.8
Q37mediummcqQuantitative Aptitude@NUM: 53Competitive Exam2026
If , and , then what is the value of ?
Q38mediummcqQuantitative AptitudeCompetitive Exam2026
What is the simplified form of the following expression?
(x−
y
1
​
)
3
+(x+
y
1
​
)
3
Q39mediummcqQuantitative AptitudeCompetitive Exam2026
If a+b=2 and ab=4, then find the value of a
4
+b
4
+ab
3
+ba
3
.
Q40mediummcqQuantitative AptitudeCompetitive Exam2026
If x=7−4
3

​
, then find the value of (x
2
+
x
2

1
​
).
Q41mediummcqQuantitative AptitudeCompetitive Exam2026
If Psin60
∘
=Qcsc45
∘
, then the value of
P
2
−Q
2

P
2
+Q
2

​
is equal to:
Q42easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the value of .
Q43mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
If 4x
2
+y
2
+z
2
+41=2(4x+y+6z), then the value of 2x+y−z is:
Q44mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
If , then what is the value of ?
Q45easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
If x
3
−y
3
=40 and x−y=4, then find the value of xy.

Frequently Asked Questions

How many Algebraic Identities questions are on ExamTest.live?▼
We have 45 Algebraic Identities questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Algebraic Identities MCQs free?▼
Yes. All Algebraic Identities questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Algebraic Identities questions?▼
Algebraic Identities questions are commonly asked in Quantitative Aptitude, Quantitative Aptitude@NUM: 53. You can filter by exam using the links above.
How do I practice Algebraic Identities questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.