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JAMB Mathematics · Algebra

Binary Operations: JAMB Mathematics Past Questions and Answers

What the JAMB syllabus covers in Binary Operations

Our summary: Rules for combining two elements, and checking properties like closure and identity.

  • Properties of closure, commutativity, associativity and distributivity
  • Identity and inverse elements (simple cases only)

Objectives

  • Solve problems involving closure, commutativity, associativity and distributivity
  • Solve problems involving identity and inverse elements

Syllabus content © The Joint Admissions and Matriculation Board (UTME).

JAMB Mathematics questions on Binary Operations

  1. JAMB 2025Given that a b = a + b ab + (a - b). Find the value of 3 2
  2. JAMB 2025A binary operation is defined on the set X = 1, 2, 3, 4, 5, 6 as a b = ab + a + b. Compute 1 3
  3. JAMB 2024If p q = 2p + pq + q, find p when ( p 2) - (p 1) = 40
  4. JAMB 2024A binary operation is defined on a set of real numbers by x y = x ^y for all values of x and y, if x 2 = x, find the possible values of x.
  5. JAMB 2023Let a binary operation ' ' be defined on a set A. The operation will be commutative if
  6. JAMB 2023Let ' ' and '^' be two binary operations such that a b = a ^2 b and a ^ b = 2a + b. Find (-4 2) ^ (7 -1).
  7. JAMB 2022Let ( ) be a binary operation on a natural number defined by a b = a - b + (ab) ^2 , then find 3 5
  8. JAMB 2021If the binary operation is defined by m n = mn + m + n for any real number m and n, find the identity of the elements under this operation
  9. JAMB 2020A binary operation x is defined by a x b = a ^b . If a x 2 = 2 - a, find the possible values of a?
  10. JAMB 2019A binary operation is defined by m n = mn + m - n on the set of real numbers, for all m, n R. Find the value of 3 (2 4).
  11. JAMB 2019A binary operation Δ is defined by a Δ b = a + 3b + 2. Find (3 Δ 2) Δ 5
  12. JAMB 2014A binary operation is defined by x y = xy. If x 2 = 12 - x, find the possible values of x
  13. JAMB 2013If a binary operation is defined by x y = x + 2y, find 2 (3 4)
  14. JAMB 2012The binary operation on the set of real numbers is defined by m n = mn/2 for all m, n R. If the identity element is 2, find the inverse of -5
  15. JAMB 2011A binary operation om real numbers is defined by x y = xy + x + y for two real numbers x and y. Find the value of 3 - 2/3 .
  16. JAMB 2010If x y = x + y ^2 , find then value of (2 3) 5

Years with Binary Operations questions in DeeepSolve's question bank

From the past questions DeeepSolve holds, not a count of everything the exam body has set.

  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
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