In a chess tournament, n men and 2 women players participated. Each player plays 2 games against every other player. Also, the total number of games played by the men among themselves exceeded by 66 the number of games that the men played against the women. Then the total number of players in the tournament is
Previous 10 Questions — NIMCET 2019
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\(\vec{a}\) and \(\vec{b}\) are non-zero non-collinear vectors such that \(|\vec{a}| = 2\), \(\vec{a}\cdot \vec{b} = 1\…
Topic: NIMCET 2019
The $sin^2 x tanx + cos^2 x cot x-sin2x=1+tanx+cotx $, $x \in (0 , \pi)$, then x
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The position vectors of the vertices A, B, C of a tetrahedron ABCD are \(\hat{i} + \hat{j} + \hat{k}\), \(\hat{i}\) and…
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Equation of the tangent from the point (3,−1) to the ellipse 2x2 + 9y2 = 3 is
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If , then the values of A1, A2, A3, A4 are
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If x is real, then the minimum value of $\dfrac{x^2-x+1}{x^2+x+1}$is:
Topic: NIMCET 2019
Let $X_i, i = 1,2,.. , n$ be n observations and $w_i = px_i +k, i = 1,2,
,n$ where p and k are constants. If the mean o…
Topic: NIMCET 2019
The median AD of ΔABC is bisected at E and BE is extended to meet the side AC in F. The AF : FC =
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In a parallelogram ABCD, P is the midpoint of AD. Also, BP and AC intersect at Q. Then AQ : QC =
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The equation of the circle passing through the point (4,6) and whose diameters are along x + 2y - 5 =0 and 3x…
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Next 10 Questions — NIMCET 2019
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Suppose A1, A2, ... 30 are thirty sets, each with five elements and B1, B2, ...., Bn are n sets each with three element…
Topic: NIMCET 2019
Let \(f(x) = \begin{cases} \cos [x], & x\geq 0\\ |x| + a, & x< 0 \end{cases}\) where \([x]\) denotes the gre…
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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…
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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…
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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 \(\sum \limits_{i=1}^{n} x_i = 80\) and \(\sum \limits_{i=1}^{n} x_i^2 = 400\), then a possible value of n among the…
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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…
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The solution set of the inequality is
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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 …
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If (1 + x – 2x2)6 = 1 + a1x + a2x2 + ... + a12x12,
then the value a2 + a4 + a6 + ... + a12
Topic: NIMCET 2019
