Probability a blade is defective $=0.002$, packet of $10$ blades. Find packets with no defective blades in $10000$ packets.

1

If the mean of the squares of first $n$ natural numbers be $11$, then $n$ is equal to

Topic: NIMCET 2011

1

Regression lines: $3x+2y=26$, $6x+y=31$ Correlation between $x,y$ is

Topic: NIMCET 2011

2

Car travels half distance with $v_1$, half with $v_2$. Average speed is

Topic: NIMCET 2011

3

Mean of first $n$ natural numbers $=\dfrac{n+7}{3}$. Find $n$:

Topic: NIMCET 2011

4

Find least integer $k$ such that $(k-2)x^2 + k + 8x + 4 > 0$ for all $x\in\mathbb{R}$.

Topic: NIMCET 2011

5

If $\displaystyle \sum_{K=0}^{2n}(-1)^K\binom{2n}{K}^2 = A$, find $\displaystyle \sum_{K=0}^{2n}(-1)^K(K-2n)\binom{2n}{…

Topic: NIMCET 2011

6

Solve inequality $\log_3\big((x+2)(x+4)\big)+\log_{1/3}(x+2)

Topic: NIMCET 2011

7

$a,b,c$ are positive and $c>a$ and in H.P. Compute $\log(a+c)+\log(a-2b+c)$.

Topic: NIMCET 2011

8

Area enclosed by $|x|+|y|=1$

Topic: NIMCET 2011

9

$A$ polygon has $44$ diagonals, the number of its sides is

Topic: NIMCET 2011

10

Let $X$ be the universal set for sets $A$ and $B$. If $n(A)=200,;n(B)=300,;n(A\cap B)=100$, then $n(A'\cap B')=300$ pro…

Topic: NIMCET 2011