Practice 20 Algebra multiple-choice questions designed for CDAC CCAT exam preparation. Click "Show Answer" to reveal the correct option with detailed explanation.
Show Answer & Explanation
Correct Answer: B — 5
3x = 22-7 = 15. x = 5.
Show Answer & Explanation
Correct Answer: B — 29
x² + y² = (x+y)² - 2xy = 49 - 20 = 29.
Show Answer & Explanation
Correct Answer: B — 14
a² + 1/a² = (a + 1/a)² - 2 = 16 - 2 = 14.
Show Answer & Explanation
Correct Answer: C — 5
125 = 5³, so 125^(1/3) = 5.
Show Answer & Explanation
Correct Answer: C — 6
64 = 2â¶, so x = 6.
Show Answer & Explanation
Correct Answer: B — x + 3
x² - 9 = (x+3)(x-3). Dividing by (x-3) gives x+3.
Show Answer & Explanation
Correct Answer: C — 4
Adding equations: 4x = 16, x = 4.
Show Answer & Explanation
Correct Answer: B — 7 and 8
x + y = 15, xy = 56. Testing: 7 + 8 = 15, 7 × 8 = 56.
Show Answer & Explanation
Correct Answer: B — 2, 3
x² - 5x + 6 = (x-2)(x-3) = 0. x = 2 or 3.
Show Answer & Explanation
Correct Answer: B — 13
a² + b² = (a+b)² - 2ab = 25 - 12 = 13.
Show Answer & Explanation
Correct Answer: B — 11
x² + 1/x² = (x - 1/x)² + 2 = 9 + 2 = 11.
Show Answer & Explanation
Correct Answer: A — 4a(b+c)
Using a² - b² = (a+b)(a-b): = 2(b+c) × 2a = 4a(b+c).
Show Answer & Explanation
Correct Answer: B — 49
(x+y)² = x² + y² + 2xy = 25 + 24 = 49.
Show Answer & Explanation
Correct Answer: B — 4
Squaring both sides: x + 5 = 9. x = 4.
Show Answer & Explanation
Correct Answer: A — 2.301
log 200 = log(2×100) = log 2 + log 100 = 0.301 + 2 = 2.301.
Show Answer & Explanation
Correct Answer: A — 670
a = 5, d = 3. S₂₀ = 20/2 × [2(5) + 19(3)] = 10 × 67 = 670.
Show Answer & Explanation
Correct Answer: B — 2.5
4ˣ - 4ˣ/4 = 24. 4ˣ(1 - 1/4) = 24. 4ˣ × 3/4 = 24. 4ˣ = 32. x = 2.5.
Show Answer & Explanation
Correct Answer: C — 1536
a = 3, r = 2. T₁₀ = 3 × 2⁹ = 3 × 512 = 1536.
Show Answer & Explanation
Correct Answer: A — 5/6
1/α + 1/β = (α+β)/αβ = 5/6.
Show Answer & Explanation
Correct Answer: B — 7
a^(logₐ x) = x. So 5^(log₅ 7) = 7.