Algebra
Sets, relations, real and complex numbers, sequences and series, equations.
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Take a full mock →Q1 · Algebra · EASY
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, then find (A ∪ B) ∩ (A ∩ B).
Q2 · Algebra · MEDIUM
The 10th term of an arithmetic progression is 47 and the 5th term is 27. What is the first term?
Q3 · Algebra · MEDIUM
If the sum of the first n terms of an arithmetic progression is given by S(n) = 3n² + 5n, what is the 8th term?
Q4 · Algebra · HARD
Find the sum of all two-digit numbers which when divided by 7 leave a remainder of 3.
Q5 · Algebra · EASY
If z = 2 + 3i, find the modulus of z.