ECAT Mathematics Induction and Binomial Theorem Online Test

Mathematics Induction and Binomial Theorem MCQS Online Test

ECAT Math Induction and Binomial Theorem Chapter Online Test

Total Questions: 84
Time Allowed: 40 Minutes
Total Marks: 84
How to Attempt Test: Please choose the right Option in MCQ-type question.
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ECAT Math Induction and Binomial Theorem Chapter Test

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Math

1. The term independent of x in the expansion of (x² – 1/3x)⁹ is equal to

2. The first three terms in the expansion of (1+ax)ⁿ (n ≠ 0) are 1, 6x and 16x², then the values of a and n are respectively

3.

4.

5. The number of terms in the expansion (x² – 1/x²)⁷ is

6.

7. The middle term of (x + 1/x)¹⁰ is

8. If ‘x’ be so small that is its square and higher powers may be neglected them (1 – x)½(9 – 4x)½/(8+3x)⅓

9. If n is any positive integer, then 1²+2²+3²+…..+n² =

10. Digit in the unit place of the number 183!+3¹⁸³

11. The nth term of the series 3, √3, 1, ……. Is 1/243, then n is:

12. The sum of co-efficient in (1 + x – 3x²)⁴¹⁶³ is

13. The number of diagonals in an n sides figure is equal to

14. In the expansion of (a-22b)³ the co-efficient of b² is

15. The nth term of the series 1 + 1+2/2 + 1+2+3/3 + …………. Is

16. Sum of even coefficient is equal to ………. In the binomial expansion of (1 + x)ⁿ

17. The expansion of (1 – 3x)⅔ is valid if

18. If the pth, qth and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

19. If the sum of co-efficient in the expansion of (a + b)ⁿ is 4096, then the greatest co-efficient in the expansion is

20. Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to number of heads is

21. The exponent in (a-b)¹⁷ is

22. The positive integer just greater than (1+0.0001)¹⁰⁰⁰⁰ is

23. The number of terms in the binomial expansion is

24. The value of ¹⁵C₁₀ is equal to

25. If exponent in the binomial expansion is 6, then the middle term is


 

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3 Comments

  1. There must be reasons for every question that how this answer /why this answer, mention at the end of the tests.

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