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Mathematics Mock Test 4 Practice

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Subject Mock Test

JEE Main & Advanced Physics Mathematics Mock Test 4

This subject-wise test sits between chapter-wise questions and a full mock so students can validate retention across multiple topics before moving deeper into exam simulation.

Questions
30
Time
35 min
Coverage
Physics mixed topics
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Preview all 30 questions in JEE Main & Advanced Physics Mathematics Mock Test 4 (no login required)
  1. JEE Maths High-Yield Mixed Drills

    1. If f(x) = 3x^2 + 1x + 5, then f'(x) is:

    • A. 3x + 1
    • B. 6x
    • C. 3x^2 + 1
    • D. 6x + 1 (Correct)

    Explanation: Differentiate term-wise: d(3x^2)/dx = 6x and d(1x)/dx = 1.

  2. JEE Maths High-Yield Mixed Drills

    2. The value of integral from 0 to 1 of 3x dx is:

    • A. 6
    • B. 1/3
    • C. 3/2 (Correct)
    • D. 3

    Explanation: Integral 3x dx from 0 to 1 = 3[x^2/2]_0^1 = 3/2.

  3. JEE Maths High-Yield Mixed Drills

    3. Distance between (2,1) and (5,5) is:

    • A. 7
    • B. 5 (Correct)
    • C. 4
    • D. 3

    Explanation: Distance = sqrt(3^2 + 4^2) = 5.

  4. JEE Maths High-Yield Mixed Drills

    4. In an AP, first term is 6 and common difference is 3. The 8th term is:

    • A. 27 (Correct)
    • B. 24
    • C. 30
    • D. 17

    Explanation: a_n = a + (n - 1)d = 6 + 7 x 3 = 27.

  5. JEE Maths High-Yield Mixed Drills

    5. A quadratic has roots 3 and 6. Its equation is:

    • A. x^2 + 9x + 18 = 0
    • B. x^2 - 18x + 9 = 0
    • C. x^2 + 18x - 9 = 0
    • D. x^2 - 9x + 18 = 0 (Correct)

    Explanation: For roots alpha and beta, equation is x^2 - (alpha+beta)x + alpha beta = 0.

  6. JEE Maths High-Yield Mixed Drills

    6. Number of ordered pairs (a,b) with a,b chosen from {1,2,...,6} is:

    • A. 6
    • B. 30
    • C. 36 (Correct)
    • D. 12

    Explanation: There are 6 choices for a and 6 choices for b, so total = 6 x 6 = 36.

  7. JEE Maths High-Yield Mixed Drills

    7. If f(x) = 5x^2 + 1x + 5, then f'(x) is:

    • A. 5x^2 + 1
    • B. 10x + 1 (Correct)
    • C. 5x + 1
    • D. 10x

    Explanation: Differentiate term-wise: d(5x^2)/dx = 10x and d(1x)/dx = 1.

  8. JEE Maths High-Yield Mixed Drills

    8. The value of integral from 0 to 1 of 4x dx is:

    • A. 4/2 (Correct)
    • B. 4
    • C. 8
    • D. 1/4

    Explanation: Integral 4x dx from 0 to 1 = 4[x^2/2]_0^1 = 4/2.

  9. JEE Maths High-Yield Mixed Drills

    9. Distance between (2,1) and (5,5) is:

    • A. 4
    • B. 3
    • C. 7
    • D. 5 (Correct)

    Explanation: Distance = sqrt(3^2 + 4^2) = 5.

  10. JEE Maths High-Yield Mixed Drills

    10. In an AP, first term is 2 and common difference is 3. The 10th term is:

    • A. 32
    • B. 15
    • C. 29 (Correct)
    • D. 26

    Explanation: a_n = a + (n - 1)d = 2 + 9 x 3 = 29.

  11. JEE Maths High-Yield Mixed Drills

    11. A quadratic has roots 5 and 8. Its equation is:

    • A. x^2 + 40x - 13 = 0
    • B. x^2 - 13x + 40 = 0 (Correct)
    • C. x^2 + 13x + 40 = 0
    • D. x^2 - 40x + 13 = 0

    Explanation: For roots alpha and beta, equation is x^2 - (alpha+beta)x + alpha beta = 0.

  12. JEE Maths High-Yield Mixed Drills

    12. Number of ordered pairs (a,b) with a,b chosen from {1,2,...,4} is:

    • A. 16 (Correct)
    • B. 8
    • C. 4
    • D. 12

    Explanation: There are 4 choices for a and 4 choices for b, so total = 4 x 4 = 16.

  13. JEE Maths High-Yield Mixed Drills

    13. If f(x) = 3x^2 + 1x + 5, then f'(x) is:

    • A. 3x + 1
    • B. 6x
    • C. 3x^2 + 1
    • D. 6x + 1 (Correct)

    Explanation: Differentiate term-wise: d(3x^2)/dx = 6x and d(1x)/dx = 1.

  14. JEE Maths High-Yield Mixed Drills

    14. The value of integral from 0 to 1 of 5x dx is:

    • A. 10
    • B. 1/5
    • C. 5/2 (Correct)
    • D. 5

    Explanation: Integral 5x dx from 0 to 1 = 5[x^2/2]_0^1 = 5/2.

  15. JEE Maths High-Yield Mixed Drills

    15. Distance between (2,1) and (5,5) is:

    • A. 7
    • B. 5 (Correct)
    • C. 4
    • D. 3

    Explanation: Distance = sqrt(3^2 + 4^2) = 5.

  16. JEE Maths High-Yield Mixed Drills

    16. In an AP, first term is 2 and common difference is 3. The 8th term is:

    • A. 23 (Correct)
    • B. 20
    • C. 26
    • D. 13

    Explanation: a_n = a + (n - 1)d = 2 + 7 x 3 = 23.

  17. JEE Maths High-Yield Mixed Drills

    17. A quadratic has roots 3 and 6. Its equation is:

    • A. x^2 + 9x + 18 = 0
    • B. x^2 - 18x + 9 = 0
    • C. x^2 + 18x - 9 = 0
    • D. x^2 - 9x + 18 = 0 (Correct)

    Explanation: For roots alpha and beta, equation is x^2 - (alpha+beta)x + alpha beta = 0.

  18. JEE Maths High-Yield Mixed Drills

    18. Number of ordered pairs (a,b) with a,b chosen from {1,2,...,6} is:

    • A. 6
    • B. 30
    • C. 36 (Correct)
    • D. 12

    Explanation: There are 6 choices for a and 6 choices for b, so total = 6 x 6 = 36.

  19. JEE Maths High-Yield Mixed Drills

    19. If f(x) = 5x^2 + 1x + 5, then f'(x) is:

    • A. 5x^2 + 1
    • B. 10x + 1 (Correct)
    • C. 5x + 1
    • D. 10x

    Explanation: Differentiate term-wise: d(5x^2)/dx = 10x and d(1x)/dx = 1.

  20. JEE Maths High-Yield Mixed Drills

    20. The value of integral from 0 to 1 of 5x dx is:

    • A. 5/2 (Correct)
    • B. 5
    • C. 10
    • D. 1/5

    Explanation: Integral 5x dx from 0 to 1 = 5[x^2/2]_0^1 = 5/2.

  21. JEE Maths High-Yield Mixed Drills

    21. Distance between (2,1) and (5,5) is:

    • A. 4
    • B. 3
    • C. 7
    • D. 5 (Correct)

    Explanation: Distance = sqrt(3^2 + 4^2) = 5.

  22. JEE Maths High-Yield Mixed Drills

    22. In an AP, first term is 3 and common difference is 3. The 10th term is:

    • A. 33
    • B. 16
    • C. 30 (Correct)
    • D. 27

    Explanation: a_n = a + (n - 1)d = 3 + 9 x 3 = 30.

  23. JEE Maths High-Yield Mixed Drills

    23. A quadratic has roots 5 and 8. Its equation is:

    • A. x^2 + 40x - 13 = 0
    • B. x^2 - 13x + 40 = 0 (Correct)
    • C. x^2 + 13x + 40 = 0
    • D. x^2 - 40x + 13 = 0

    Explanation: For roots alpha and beta, equation is x^2 - (alpha+beta)x + alpha beta = 0.

  24. JEE Maths High-Yield Mixed Drills

    24. Number of ordered pairs (a,b) with a,b chosen from {1,2,...,4} is:

    • A. 16 (Correct)
    • B. 8
    • C. 4
    • D. 12

    Explanation: There are 4 choices for a and 4 choices for b, so total = 4 x 4 = 16.

  25. JEE Maths High-Yield Mixed Drills

    25. If f(x) = 3x^2 + 1x + 5, then f'(x) is:

    • A. 3x + 1
    • B. 6x
    • C. 3x^2 + 1
    • D. 6x + 1 (Correct)

    Explanation: Differentiate term-wise: d(3x^2)/dx = 6x and d(1x)/dx = 1.

  26. JEE Maths High-Yield Mixed Drills

    26. The value of integral from 0 to 1 of 1x dx is:

    • A. 2
    • B. 1/1
    • C. 1/2 (Correct)
    • D. 1

    Explanation: Integral 1x dx from 0 to 1 = 1[x^2/2]_0^1 = 1/2.

  27. JEE Maths High-Yield Mixed Drills

    27. Distance between (2,1) and (5,5) is:

    • A. 7
    • B. 5 (Correct)
    • C. 4
    • D. 3

    Explanation: Distance = sqrt(3^2 + 4^2) = 5.

  28. JEE Maths High-Yield Mixed Drills

    28. In an AP, first term is 4 and common difference is 3. The 8th term is:

    • A. 25 (Correct)
    • B. 22
    • C. 28
    • D. 15

    Explanation: a_n = a + (n - 1)d = 4 + 7 x 3 = 25.

  29. JEE Maths High-Yield Mixed Drills

    29. A quadratic has roots 3 and 6. Its equation is:

    • A. x^2 + 9x + 18 = 0
    • B. x^2 - 18x + 9 = 0
    • C. x^2 + 18x - 9 = 0
    • D. x^2 - 9x + 18 = 0 (Correct)

    Explanation: For roots alpha and beta, equation is x^2 - (alpha+beta)x + alpha beta = 0.

  30. JEE Maths High-Yield Mixed Drills

    30. Number of ordered pairs (a,b) with a,b chosen from {1,2,...,6} is:

    • A. 6
    • B. 30
    • C. 36 (Correct)
    • D. 12

    Explanation: There are 6 choices for a and 6 choices for b, so total = 6 x 6 = 36.

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