Correct the following equation by inter-changing two signs. $ 3 - 9\times 27 + 9 \div 3 = 3 $
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System:
$3x_{1} + 7x_{2} + x_{3} = 2$
$x_{1} + 2x_{2} + x_{3} = 3$
$2x_{1} + 3x_{2} + 4x_{3} = 13$
Topic: NIMCET 2011
Solve: $ 2\sin^{2}\theta - 3\sin\theta - 2 = 0$
Topic: NIMCET 2011
Triangle sides:
$x^{2}+x+1,\ 2x+1,\ x^{2}-1$.
Largest angle?
Topic: NIMCET 2011
If $\sin x,\ \cos x,\ \tan x$ are in GP, find $\cot 6x - \cot 2x$.
Topic: NIMCET 2011
$ABCD$ is a parallelogram with diagonals $AC$ and $BD$.
Compute $ \overrightarrow{AC} - \overrightarrow{BD} $.
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If $ |\vec{a}\times \vec{b}| = |\vec{a}\cdot \vec{b}| $, then angle $\theta$ between $\vec{a},\vec{b}$ is:
Topic: NIMCET 2011
Roots of $x^{2} - 2x + 4 = 0$ are $\alpha, \beta$.
Compute $ \alpha^{6} + \beta^{6} $.
Topic: NIMCET 2011
$ \text{If } B = -A^{-1}BA,\ \text{then } (A+B)^{2} = $
Topic: NIMCET 2011
$ \text{The sum of } 11^{2} + 12^{2} + \cdots + 30^{2} \text{ is} $
Topic: NIMCET 2011
A random variable $X$ has the probability distribution:
\[\begin{array}{c|ccccccccc}
x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 …
Topic: NIMCET 2011
Next 10 Questions — NIMCET 2011
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Pushpa is twice as old as Rita was two years ago.
If the difference between their ages is $2$ years, how old is Pushpa …
Topic: NIMCET 2011
A clock is set right at $8$ a.m.
The clock gains $10$ minutes in $24$ hours.
What will be the correct time when the clo…
Topic: NIMCET 2011
Choose the best answer figure to substitute element 4 in die problem figures so that element 3 is
related to element 4 …
Topic: NIMCET 2011
Statements:i) Price rise is a natural phenomenonii) If production increases prices falliii) High prices affect the poor…
Topic: NIMCET 2011
How many arrangements of the word “DETAIL” place vowels only in odd positions?
Topic: NIMCET 2011
From 1 to 55, count numbers divisible by 3 but remove numbers containing digit 3.
Topic: NIMCET 2011
In the number series one term is wrong.
$ 5,\ 12,\ 19,\ 33,\ 47,\ 75,\ 104 $
Topic: NIMCET 2011
A is 5th from top, B is 7th from bottom.
C is 6th after A AND 6th before B.
Topic: NIMCET 2011
Let:
$ X = 2^{100},\quad Y = 3^{100},\quad Z = 4^{100} $
Which statement is true?
Topic: NIMCET 2011
Directions for questions 56-59: Study the following information to answer the given questions;
In a family of 6 persons…
Topic: NIMCET 2011
