A man takes a step forward with probability 0.4 and backward with probability 0.6. The probability that at the end of eleven steps, he is one step away from the starting point is
Previous 10 Questions — NIMCET 2019
Nearest first
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If \(a\) and \(b\) are the greatest values of \(^{2n}C_r\) and \(^{2n-1}C_r\) respectively, then:
Topic: NIMCET 2019
If (1 + x – 2x2)6 = 1 + a1x + a2x2 + ... + a12x12,
then the value a2 + a4 + a6 + ... + a12
Topic: NIMCET 2019
If a, b, c are in GP and log a - log 2b, log 2b - log 3c and log 3c - log a are in AP, then a, b, c are the lengths of …
Topic: NIMCET 2019
The solution set of the inequality is
Topic: NIMCET 2019
Let S be the set $\{a\in Z^+:a\leq100\}$.If the equation
$[tan^2 x]-tan x - a = 0$ has real roots (where [ . ] is the g…
Topic: NIMCET 2019
If \(\sum \limits_{i=1}^{n} x_i = 80\) and \(\sum \limits_{i=1}^{n} x_i^2 = 400\), then a possible value of n among the…
Topic: NIMCET 2019
If the mean deviation 1, 1+d, 1+2d, … , 1+100d from their mean is 255, then d is equal to
Topic: NIMCET 2019
If a man purchases a raffle ticket, he can win a first prize of Rs.5,000 or a second prize of Rs.2,000 with probabiliti…
Topic: NIMCET 2019
Let U and V be two events of a sample space S and P(A) denote the probability of an event A. Which of the following sta…
Topic: NIMCET 2019
Let \(f(x) = \begin{cases} \cos [x], & x\geq 0\\ |x| + a, & x< 0 \end{cases}\) where \([x]\) denotes the gre…
Topic: NIMCET 2019
Next 10 Questions — NIMCET 2019
Ascending by ID
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Let \(x_i, i = 1,2,\ldots n\) be n observations and \(w_i = p x_i + k\), \(i = 1,2,\ldots n\) where p and k are constan…
Topic: NIMCET 2019
If $x, y, z$ are distinct real numbers, then
$$
\begin{vmatrix}
x & x^{2} & 2 + x^{3} \\
y & y^{2} & 2 + y^{3} \\
z &…
Topic: NIMCET 2019
Let f(x) be a polynomial satisfying \(f(0) = 2\), \(f'(0) = 3\) and \(f''(x) = f(x)\). Then \(f(4)\) is equal to:
Topic: NIMCET 2019
If $a, a, a_2, ., a_{2n-1},b$ are in AP, $a, b_1, b_2,...b_{2n-1}, b $are in GP and $a, c_1, c_2,... c_{2n-1}, b $ are …
Topic: NIMCET 2019
For the two circles $x^2+y^2=16$ and $x^2+y^2-2y=0$, there is/are
Topic: NIMCET 2019
Let $f : \mathbb{R} \to \mathbb{R}$ be defined by
$f(x)=\begin{cases}
x \sin\left(\frac{1}{x}\right), & x>0,\\…
Topic: NIMCET 2019
A particle P starts from the point z0=1+2i, where i=√−1 . It moves first horizontally awa…
Topic: NIMCET 2019
If $\Delta=a^2-(b-c)^2$, where $\Delta$ is the are of the triangle ABC, then $tanA=$
Topic: NIMCET 2019
Two numbers $a$ and $b$ are chosen are random from a set of the first 30
natural numbers, then the probability that $a^…
Topic: NIMCET 2019
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph …
Topic: NIMCET 2019
