NCSSM PLACEMENT TEST 2025 UPDATE – COMPREHENSIVE QUESTIONS AND VERIFIED ANSWERS (MOST FREQUENTLY TESTED) || 100% GUARANTEED PASS <RECENT VERSION>

NCSSM PLACEMENT TEST 2024 UPDATE – COMPREHENSIVE

QUESTIONS AND VERIFIED ANSWERS (MOST FREQUENTLY TESTED) ||

100% GUARANTEED PASS

<RECENT VERSION>

Mathematics

1. Simplify the expression: (3x²y⁻³)³

A) 9x⁵y⁰

B) 27x⁶ / y⁹

C) 27x⁵ / y⁶

D) 9x⁶y⁻⁹

2. If 2ˣ = 8^(y+1) and 9^y = 3^(x-9), what is the value of x + y?

A) 18

B) 21

C) 24

D) 27

3. What is the solution set for the inequality |2x - 5| ≤ 11?

A) {x | -3 ≤ x ≤ 8}

B) {x | x ≤ -3 or x ≥ 8}

,C) {x | -8 ≤ x ≤ 3}

D) {x | x ≤ -8 or x ≥ 3}

4. A line passes through points (2, 3) and (4, 7). What is its equation in slope-

intercept form?

A) y = 2x - 1

B) y = 2x + 1

C) y = (1/2)x + 2

D) y = 2x + 7

5. The sum of two numbers is 15, and their product is 56. What are the

numbers?

A) 6 and 9

B) 7 and 8

C) 5 and 10

D) 4 and 11

6. Factor completely: 6x² - 13x - 5

A) (2x - 5)(3x + 1)

B) (6x + 5)(x - 1)

C) (3x - 5)(2x + 1)

D) (2x - 1)(3x - 5)

, 7. Solve for x: log₂(x) + log₂(x - 2) = 3

A) x = 4

B) x = 2, 4

C) x = -2, 4

D) x = 8

8. What is the vertex of the parabola y = x² - 6x + 8?

A) (3, -1)

B) (-3, 35)

C) (0, 8)

D) (6, 8)

9. If sin(θ) = 3/5 and θ is in Quadrant II, what is tan(θ)?

A) 3/4

B) -3/4

C) 4/5

D) -4/3

10. What is the 15th term of the arithmetic sequence: 7, 11, 15, 19, ...?

A) 59

B) 63