Modern Maths in NMAT 2024
Logarithms, Modulus, Inequality, Functions, AP-GP, and Median
Logarithms | Modern Maths in NMAT 2024
Q1. If log₁₀(100) = x, what is the value of x?
A) 1 B) 2 C) 0.5 D) 10
Q2. If log₂(8) = x, then what is the value of x?
A) 2 B) 3 C) 4 D) 1
Modulus | Modern Maths in NMAT 2024
Q3. What is the value of |–7 + 3|?
A) –4 B) 4 C) –10 D) 10
Q4. Solve: |x – 4| = 6. What are the possible values of x?
A) 10, –2 B) 2, 10 C) –6, 2 D) –2, 10
Inequalities | Modern Maths in NMAT 2024
Q5. Solve the inequality: 3x – 2 < 10
A) x < 4 B) x < 2 C) x < 3 D) x < 5
Q6. If x² > 16, which of the following is true?
A) x > 4 only B) x < –4 only C) x < –4 or x > 4 D) –4 < x < 4
Functions | Modern Maths in NMAT 2024
Q7. If f(x) = x² + 1, what is the value of f(2)?
A) 5 B) 3 C) 2 D) 4
Q8. If f(x) = 3x – 1, then f(4) = ?
A) 11 B) 10 C) 12 D) 9
AP & GP | Modern Maths in NMAT 2024
Q9. What is the 5th term of the AP: 3, 6, 9, …?
A) 12 B) 15 C) 18 D) 9
Q10. What is the 4th term of the GP: 2, 4, 8, …?
A) 10 B) 12 C) 16 D) 14
Median | Modern Maths in NMAT 2024
Q11. Find the median of the numbers: 2, 4, 6
A) 4 B) 3 C) 2 D) 6
Q12. Find the median of the list: 5, 7, 9, 11, 13
A) 7 B) 9 C) 11 D) 8
Answers and explanations | Modern Maths in NMAT 2024
A1 B. Explanation: log₁₀(100) = log₁₀(10²) = 2
A2 B. Explanation: log₂(8) = log₂(2³) = 3
A3 B. Explanation: –7 + 3 = –4 → |–4| = 4
A4 D. Explanation: |x – 4| = 6 → x – 4 = ±6 → x = 10 or –2
A5 A. Explanation: 3x – 2 < 10 → 3x < 12 → x < 4
A6 C. Explanation: x² > 16 → x < –4 or x > 4
A7 A. Explanation: f(x) = x² + 1 → f(2) = 4 + 1 = 5
A8 A. Explanation: f(x) = 3x – 1 → f(4) = 12 – 1 = 11
A9 B. Explanation: AP: a = 3, d = 3 → 5th term = a + 4d = 3 + 12 = 15
A10 C. Explanation: GP: a = 2, r = 2 → 4th term = 2 × 2³ = 16
A11 A. Explanation: Median of 2, 4, 6 = middle term = 4
A12 B. Explanation: Ordered list: 5, 7, 9, 11, 13 → median = middle value = 9
Frequently asked questions
Which Modern Maths topics does this NMAT 2024 page cover?
It covers Logarithms, Modulus, Inequalities, Functions, AP & GP, and Median, with 12 questions total and full explanations for each.
Is this page good for revising basic log and modulus rules?
Yes, it opens with direct application questions like log₁₀(100) and |x-4|=6, which are good quick checks of the basic rules before moving to tougher questions.
Does it cover inequality questions involving squares?
Yes, one question asks you to solve x² > 16 and tests whether you correctly split it into x < -4 or x > 4 rather than just x > 4.
Are AP and GP questions included?
Yes - it has a question on finding the 5th term of the AP 3, 6, 9,... and the 4th term of the GP 2, 4, 8,..., both with step-by-step answers.