A train travels 60 km, then due to an accident runs at $\dfrac{3}{4}$ of its former speed and reaches 40 minutes late. If the accident had occurred 25 km later, it would be 10 minutes earlier. Find the original speed and distance.
Previous 10 Questions — NIMCET 2009
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Three shopkeepers each make one true statement and one false statement.Shopkeeper 1:• Dog had black hair• Dog had a lon…
Topic: NIMCET 2009
The sum of the numbers from 1 to 100 which are not divisible by 3 and 5 is:
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
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
If
$2x^4 + x^3 - 11x^2 + x + 2 = 0$
then the values of
$x + \dfrac{1}{x}$
are:
Topic: NIMCET 2009
An anti-aircraft gun fires a maximum of four shots.
Probabilities of hitting in the 1st, 2nd, 3rd, and 4th shot are
0.4…
Topic: NIMCET 2009
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
Next 10 Questions — NIMCET 2009
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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
Find the value of $x$, if:
$\left( 2^{\frac{1}{\log_x 4}} \right)
\left( 2^{\frac{1}{\log_x 16}} \right)
\left( 2^{\fr…
Topic: NIMCET 2009
Statements:All jewels are rings.Some rings are necklaces.Some cakes are jewels.Conclusions:I. Some necklaces are jewels…
Topic: NIMCET 2009
Statements:All actors are writers.Some writers are dancers.All poets are writers.Conclusions:I. All actors are poets.II…
Topic: NIMCET 2009
Statements:Some trees are branches.All buds are branches.All flowers are trees.Conclusions:I. Some branches are buds.II…
Topic: NIMCET 2009
Statements:Some pots are eatables.All eatables are drinks.No banana is pot.Conclusions:I. Some pots are drinks.II. All …
Topic: NIMCET 2009
How many 5s are there in the number series each of which is immediately followed by 4 but not immediately preceded by 6…
Topic: NIMCET 2009
