NIMCET 2027 2016 Previous Year Questions (PYQs) – Page 3 of 12
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If a twelve sided regular polygon is inscribed in a circle of radius 3 centimeters, then the length of
each side of the polygon is
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2
3
4
Solution
If C is the midpoint of AB and P is any point outside AB, then
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3
4
Solution
The number of 5 people groups that can be selected from 9 people when two particular persons are not
to be in the same group is
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2
3
4
Solution
The equation of a circle with diameters are 2x – 3y + 12 = 0 and x + 4y – 5 = 0 and area of 154 sq.
units is
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4
Solution
is equal to
If 
, 
, and + are vectors of magnitude α then the magnitude of the vector - is
, , and + are vectors of magnitude α then the magnitude of the vector - is1
2
3
4
Solution
A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap. If four caps are picked at
random, the probability that none of them is green is
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4
Solution
The line 3x + 5y = k touches the ellipse 16 x2 + 25 y2 = 400, if k is
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Solution
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