Modern Maths in NMAT 2024

Logarithms, Modulus, Inequality, Functions, AP-GP, and Median

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Logarithms | Modern Maths in NMAT 2024

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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

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Modulus | Modern Maths in NMAT 2024

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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

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Inequalities | Modern Maths in NMAT 2024

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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

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Functions | Modern Maths in NMAT 2024

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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

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AP & GP | Modern Maths in NMAT 2024

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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

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Median | Modern Maths in NMAT 2024

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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

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Answers and explanations | Modern Maths in NMAT 2024

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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

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