Maths Sample Test Paper 2 - AIEEE 2009

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(SOLVED)
Note : All Answers are in red.

1. In the expansion of (x + y + z)²⁵
every term is of the form ²⁵C_r.^rC_k. x^{25 - r}. y^{r - k}. z^k
the coefficient of x⁸ y⁹ z⁹ is 1
the number of terms is 325
none of these

2. In the expansion ofwhich of the following is not true
the number of irrational terms is 19
middle term is irrational
the number of rational terms is 2
8th term is rational

3. If = I + f where I_, n are integers and 0 < f < 1, then which of the following is not true
I is an odd integer
I is an even integer
(I + f) (1 - f) = 1
1 - f =

4. 7⁹ + 9⁷ is divisible by
11
24
64
72

5. If a_n =, then equals
(n - 1) a_n
na_n
na_n
none of the above

6. If n is an odd natural number, then equals
0



none of these

7. If in the expansion of (1 + x)^m (1- x)ⁿ, the coefficients of x and x² are 3 and - 6 respectively, then m is
6
9
12
24

8. For 2 ≤ r ≤ n, + 2 + =

2

2

- Ans

9. In the binomial expansion of (a - b)ⁿ, n ≥ 5, the sum of the 5^th and 6^th terms is zero. Then a/b equals:

- Ans

10. The sum, (where = 0, if p < q) is maximum when 'm' is:
5
10
15
20