Practise Algebra MCQs MCQs in Maths. Attempt multiple-choice questions, check answers and revise related subtopics.
Study Algebra MCQs through multiple-choice questions in Maths. This subtopic contains 1169 practice questions. Read the wording carefully, compare the options and attempt an answer before checking the solution in learning mode.
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Answer: 223
Explanation x + 1/x = 15 (x + 1/x)² = 15² x² + 2(x)(1/x) + 1/x² = 225 x² + 2 + 1/x² = 225 x² + 1/x² = 225 - 2 x² + 1/x² = 223
Answer: Does not exist
Explanation The given limit is lim (x,y) → (0,0) sin(y)/x . As x x approaches 0 , the denominator becomes 0 , causing an undefined form . Along different paths (e.g., setting y = 0 y = 0 or x = 0 x = 0 ), the limit gives different results, meaning the limit does not exist .
Answer: x^a+b
Explanation To find the product of x^a and x^b: x^a × x^b Using the rule of exponents that states when multiplying two powers with the same base, add the exponents: x^(a + b)
Answer: ±3
Explanation Let's denote the number as x. Given: (1/3)x = 3(1/x) Multiplying both sides by 3x: x^2 = 9 Solving for x: x = ±√9 x = ±3
Answer: 12
Explanation Step -1: Finding the work done by A and B in a day . Let B takes a total of x days to complete the work alone . So as know that A takes 6 days less than B we can write that A takes x - 6 days to complete the work alone . Work done by B in a day = x 1 Work done by A in a day = x − 6 1 Step -2: Finding x . As we know that A and B together complete the work in 4 days,we can write x 1 + x − 6 1 = 4 1 Taking LCM and solving we get, x ( x − 6 ) x − 6 + x = 4 1 x ( x − 6 ) 2 x − 6 = 4 1 Cross - multiplying we get, 8 x − 2 4 = x 2 − 6 x x 2 − 1 4 x + 2 4 = 0 x 2 − 1 2 x − 2 x + 2 4 = 0 x ( x − 1 2 ) − 2 ( x − 1 2 ) = 0 x = 2 , 1 2 We will reject x = 2 as x - 6 will become negative . Hence, B takes 12 days to complete the work alone .
Answer: 1
Explanation Using the identify 2 sin A cos A = sin 2A, so 2 sin 45° cos 45° = sin 90°. Since sin 90° = 1, the expression equals 1 .
Answer: 2n – 3
Explanation To find the quotient, perform polynomial long division: Divide 6n² + 5n + 12 by 2n + 3: 6n² + 5n + 12 | 2n + 3 First, divide 6n² by 2n: 3n Multiply 2n + 3 by 3n: 6n² + 9n Subtract this from the original polynomial: -4n + 12 Now, divide -4n by 2n: -2 Multiply 2n + 3 by -2: -4n - 6 Subtract this from -4n + 12: 18 Since 18 is a constant and cannot be divided by 2n + 3, the remainder is 18. The quotient is: 3n - 2
Answer: 6
Explanation Given x = 3 - √8: Step 1: Find 1/x To rationalize the denominator, first simplify √8 to 2√2. x = 3 - 2√2 1/x = 1 / (3 - 2√2) Multiply numerator and denominator by the conjugate (3 + 2√2): 1/x = (3 + 2√2) / ((3 - 2√2)(3 + 2√2)) = (3 + 2√2) / (9 - 8) = 3 + 2√2 Step 2: Calculate x + 1/x x + 1/x = (3 - 2√2) + (3 + 2√2) = 6
Answer: 12/13
Explanation Given cosθ = 5/13 sinθ = √(1 − 25/169) = √(144/169) = 12/13 Last verified on 14-05-2026
Answer: 37
Explanation (a + bi)(a - bi) is a standard identity: (a + bi)(a - bi) = a² - (bi)² = a² - b²i² = a² - b²(-1) = a² + b² So a² + b² = 37 directly. Last verified on 13-05-2026
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