1
BITSAT 2025
MCQ (Single Correct Answer)
+3
-1

The coefficient of $x^n$ in the expansion of $\frac{1-a x-x^2}{e^x}$ is

A

$\frac{(-1)^n}{n!}\left\{-n^2-n(a+1)+1\right\}$

B

$\frac{(-1)^n}{n!}\left\{n^2-n(a+1)-1\right\}$

C

$\frac{(-1)^n}{n!}\left\{-n^2+n(a+1)+1\right\}$

D

None of the above

2
BITSAT 2025
MCQ (Single Correct Answer)
+3
-1

For three numbers $a, b, c$ between 2 and 18 such that their sum is 25 , the numbers $2, a, b$ are in AP and the numbers $b, c, 18$ are in GP Then, the value of $a+b+c$ is

A

12

B

24

C

25

D

20

3
BITSAT 2025
MCQ (Single Correct Answer)
+3
-1

If $a, b, c, d$ be four positive unequal quantities and $s=a+b+c+d$, then $(s-a)(s-b)(s-c) (s-d)>k a b c d$. Then, value of $k$ is

A

3

B

27

C

36

D

81

4
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
If $ a > 0, b > 0, c > 0 $ and $ a, b, c $ are distinct, then $ (a+b)(b+c)(c+a) $ is greater than
A
$ 2(a+b+c) $
B
$ 3(a+b+c) $
C
$ 6 a b c $
D
$ 8 a b c $

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