How many proper subsets of ${1,2,3,4,5,6,7}$ contain the numbers $1$ and $7$?

1

Identify the wrong statement.

Topic: NIMCET 2010

2

Survey: $63%$ like cheese, $76%$ like apples. If $x%$ like both?

Topic: NIMCET 2010

3

Set $A$ has $3$ elements. Set $B$ has $4$ elements. Number of injections?

Topic: NIMCET 2010

4

If $(1+x)^n = a_0 + a_1 x + a_2 x^2 + \dots + a_n x^n$, then $\left(1+\frac{a_1}{a_0}\right)\left(1+\frac{a_2}{a_1}\rig…

Topic: NIMCET 2010

5

India plays 4 matches. Probabilities of scoring $0,1,2$ points: $0.45,\ 0.05,\ 0.50$. Find probability of at least $7$ …

Topic: NIMCET 2010

6

A coin is tossed three times. Probability of getting heads and tails alternately is:

Topic: NIMCET 2010

7

One hundred identical coins, each with probability $p$ of showing up a head, are tossed. If $0

Topic: NIMCET 2010

8

n a Poisson distribution if $P[X=3] = \frac{1}{4} P[X=4]$ then $P[X=5] = k P[X=7]$ where $k$ equals to

Topic: NIMCET 2010

9

The average marks per student in a class of 30 students were 45. On rechecking it was found that marks had been entered…

Topic: NIMCET 2010

10

The value of ‘a’ for which the system of equations $a^3 x + (a+1)^3 y + (a+2)^3 z = 0$ $ax + (a+1) y + (a+2) z = 0$ $x…

Topic: NIMCET 2010