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

1

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

Topic: NIMCET 2010

2

Identify the wrong statement.

Topic: NIMCET 2010

3

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

Topic: NIMCET 2010

1

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

2

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

3

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

Topic: NIMCET 2010

4

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

Topic: NIMCET 2010

5

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

6

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

7

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

8

The value of $X^4 + 9X^3 + 35X^2 - X + 4$ for $X = -5 + 2\sqrt{-4}$ is

Topic: NIMCET 2010

9

If $y = a \log x + b x^2 + x$ has its extremum value at $x = -1$ and $x = 2$, then

Topic: NIMCET 2010

10

If $a, b, c$ are in A.P., $p, q, r$ are in H.P. and $ap, bq, cr$ in G.P.$,$ then $\frac{p}{r} + \frac{r}{p}$ is equal to

Topic: NIMCET 2010