An anti-aircraft gun fires a maximum of four shots. Probabilities of hitting in the 1st, 2nd, 3rd, and 4th shot are 0.4, 0.3, 0.2 and 0.1 respectively. Find the probability that the gun hits the plane.
Previous 10 Questions — NIMCET 2009
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Events $A$ and $B$ satisfy:
$P(A \cup B) = \dfrac{1}{6}$,
$P(A \cap B) = \dfrac{1}{4}$,
$P(A) = \dfrac{1}{4}$
Then eve…
Topic: NIMCET 2009
The straight lines
$\dfrac{x}{a} + \dfrac{y}{b} = k$
and
$\dfrac{x}{a} + \dfrac{y}{b} = \dfrac{1}{k}$ (with $k\neq0$)
m…
Topic: NIMCET 2009
If $\vec{a}, \vec{b}, \vec{c}$ are non-coplanar unit vectors and
$\vec{a} \times (\vec{b} \times \vec{c}) = \dfrac{\vec…
Topic: NIMCET 2009
Number of solutions for
$\tan^{-1}\sqrt{x(x+1)} + \sin^{-1}\sqrt{x^2 + x + 1} = \dfrac{\pi}{2}$ is:
Topic: NIMCET 2009
From 50 students:
37 passed Math, 24 Physics, 43 Chemistry.
At most 19 passed Math & Physics,
at most 29 passed Mat…
Topic: NIMCET 2009
If $A = \cos^2\theta + \sin^4\theta$, then for all values of $\theta$:
Topic: NIMCET 2009
A man has 5 coins:
2 double-headed
1 double-tailed
2 normal
He randomly picks a coin and tosses it.
Probability tha…
Topic: NIMCET 2009
Number of distinct integer values of $a$ satisfying
$2^{2a} - 3(2^{a+2}) + 25 = 0$ is:
Topic: NIMCET 2009
There are 10 points, out of which 6 are collinear.
Number of triangles formed:
Topic: NIMCET 2009
The smaller area bounded by
$y = 2 - x$
and
$x^2 + y^2 = 4$
is:
Topic: NIMCET 2009
Next 10 Questions — NIMCET 2009
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If
$2x^4 + x^3 - 11x^2 + x + 2 = 0$
then the values of
$x + \dfrac{1}{x}$
are:
Topic: NIMCET 2009
If all digits 6 in the numbers from 1 to 100 are replaced by 9,
by how much does the algebraic sum change?
Topic: NIMCET 2009
Pick 1st, 2nd, 4th, 5th, 6th letters from REASONING,
form another word,
then write the first and last letters of the ne…
Topic: NIMCET 2009
The sum of the numbers from 1 to 100 which are not divisible by 3 and 5 is:
Topic: NIMCET 2009
Three shopkeepers each make one true statement and one false statement.Shopkeeper 1:• Dog had black hair• Dog had a lon…
Topic: NIMCET 2009
A train travels 60 km, then due to an accident runs at $\dfrac{3}{4}$ of its former speed and reaches 40 minutes late.
…
Topic: NIMCET 2009
Find the remainder when
$X = 1! + 2! + 3! + \cdots + 100!$
is divided by $240$.
Topic: NIMCET 2009
Find the unit digit of $(13647)^{3265}$.
Topic: NIMCET 2009
Arrange statements P, Q, R, S logically:P: The logic that underlines this is two-fold.Q: RBI is likely to cut bank rate…
Topic: NIMCET 2009
Computer A takes 3 minutes per input.Computer B takes 5 minutes per input.Let C take x minutes per input.Together A + B…
Topic: NIMCET 2009
