A harbour lies in a direction 60° South of West from a fort and at a distance 30 km from it, a ship sets out from the harbour at noon and sails due East at 10 km an hour. The time at which the ship will be 70 km from the fort is
Previous 10 Questions — NIMCET 2015
Nearest first
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The number of one-to-one functions from {1, 2, 3} to {1, 2, 3, 4, 5} is
Topic: NIMCET 2015
Suppose that A and B are two events with probabilities $P(A) =\frac{1}{2} \, P(B)=\frac{1}{3}$ Then which of the
follo…
Topic: NIMCET 2015
If the angles of a triangle are in the ratio 2 : 3 : 7, then the ratio of the sides opposite to these
angles is
Topic: NIMCET 2015
A is targeting B, B and C are targeting A. Probability of hitting the target by A, B and C are $\frac{2}{3}, \frac{1}{2…
Topic: NIMCET 2015
In a right angled triangle, the hypotenuse is four times the perpendicular drawn to it from the opposite vertex. The va…
Topic: NIMCET 2015
$\int_0^\pi [cotx]dx$ where [.] denotes the greatest integer function, is equal to
Topic: NIMCET 2015
If two circles
$x^{2}+y^{2}+2gx+2fy=0$ and $x^{2}+y^{2}+2g'x+2f'y=0$ touch each other then whichof the following is tru…
Topic: NIMCET 2015
The value of $sin^{-1}\frac{1}{\sqrt{2}}+sin^{-1}\frac{\sqrt{2}-\sqrt{1}}{\sqrt{6}}+sin^{-1}\frac{\sqrt{3}-\sqrt{2}}{\s…
Topic: NIMCET 2015
If $\vec{AC}=2\hat{i}+\hat{j}+\hat{k}$ and $\vec{BD}=-\hat{i}+3\hat{j}+2\hat{k}$ then the area of the quadrilateral ABC…
Topic: NIMCET 2015
A matrix $M_r$ is defined as $M_r=\begin{bmatrix} r &r-1 \\ r-1&r \end{bmatrix} , r \in N$ then the value of $d…
Topic: NIMCET 2015
Next 10 Questions — NIMCET 2015
Ascending by ID
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If $x, y, z$ are three consecutive positive integers, then $log (1 + xz)$ is
Topic: NIMCET 2015
A professor has 24 text books on computer science and is concerned about their coverage of the topics (P) compilers, (Q…
Topic: NIMCET 2015
The value of $tan(\frac{7\pi}{8})$ is
Topic: NIMCET 2015
If $\vec{a}$ and $\vec{b}$ are vectors such that $|\vec{a}|=13$, $|\vec{b}|=5$ and $\vec{a} . \vec{b} =60$then the valu…
Topic: NIMCET 2015
Two towers face each other separated by a distance of 25 meters. As seen from the top of the first tower, the angle of …
Topic: NIMCET 2015
If $\vec{a}=4\hat{j}$ and $\vec{b}=3\hat{j}+4\hat{k}$ , then the vector form of the component of $\vec{a}$ alond $\vec{…
Topic: NIMCET 2015
If $\vec{a}$ and $\vec{b}$ in space, given by $\vec{a}=\frac{\hat{i}-2\hat{j}}{\sqrt{5}}$ and $\vec{b}=\frac{2\hat{i}+\…
Topic: NIMCET 2015
Which letter would be 3rd to the right of the 7th letter from the left
Topic: NIMCET 2015
Which letter would be exactly in the middle of eighteenth letter from the beginning and fifteenth
from the end?
Topic: NIMCET 2015
How many 3-digit numbers divisible by 5, can be formed using the digits 2 3 5 6 7 and 9, without
repetition of digits?
Topic: NIMCET 2015
