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## NIMCET Previous Year Questions (PYQs)

#### NIMCET 2018 PYQ

NIMCET PYQ 2018 NIMCET Mathematics PYQNIMCET Differentiation (Disha JEE) PYQ

#### Solution NIMCET PYQ 2018 NIMCET Mathematics PYQNIMCET Limit Continuity Differentiability (Disha JEE) PYQ

#### Solution NIMCET PYQ 2018 NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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The function is

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NIMCET PYQ 2018
Two person A and B agree to meet 20 april 2018 between 6pm to 7pm with understanding that they will wait no longer than 20 minutes for the other. What is the probability that they meet?

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#### Solution NIMCET PYQ 2018
Three numbers a,b and c are chosen at random (without replacement) from among the numbers 1, 2, 3, ..., 99. The probability that is divisible by 3 is,

NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ 2018
A and B play a game where each is asked to select a number from 1 to 25. If the two number match, both of them win a prize. The probability that they will not win a prize in a single trial is :

NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

#### Solution

The total number of ways in which numbers can be choosed =25 x 25=625  The number of ways in which either players can choose same numbers = 25
Probability that they win a prize = 25/625 = 1/25
Thus, the probability that they will not win a prize in a single trial = 1 - 1/25 = 24/25

NIMCET PYQ 2018
The quadratic equation whose roots are is

NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ 2018
Sum to infinity of a geometric is twice the sum of the first two terms. Then what are the possible values of common ratio?

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Suppose that m and n are fixed numbers such that the mth  term am is equal to n and nth term an is equal to m, (m≠n), the the value of (m+n)th term  is

NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ 2018
If A is an invertible skew-symmetric matrix, then is a

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NIMCET PYQ 2018
If the mean of the squares of first n natural numbers be 11, then n is equal to?

NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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The set of points, where is differential in

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NIMCET PYQ 2018 is equal to

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NIMCET PYQ 2018
Let be defined by . Find NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ 2018
The slope of two-lines differ by

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NIMCET PYQ 2018
If the radius of the circle changes at the rate of , at what rate does the circle's area change when the radius is 10m?

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NIMCET PYQ 2018
The point of intersection os circle and the line is

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NIMCET PYQ 2018
The number of solutions of the equation sinx + sin5x = sin3x lying in the interval is

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NIMCET PYQ 2018
In an acute-angled ΔABC the least value of secA+secB+secC is

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NIMCET PYQ 2018
If then the value of is

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NIMCET PYQ 2018
The circles whose equations are and will touch one another externally, if

NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ 2018
The locus of the orthocentre of the triangle formed by the lines (1+p)x-py+p(1+p)=0, (1+p)(x-q)+q(1+ q)=0 and y=0 where p≠q is

NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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Straight Line

NIMCET PYQ 2018
Equation of the common tangents with a positive slope to the circle and is

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NIMCET PYQ 2018
The area enclosed between the curves and is

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NIMCET PYQ 2018
Equation of the line perpendicular to x-2y=1 and passing through (1,1) is

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NIMCET PYQ 2018
If and , then f(A)=

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NIMCET PYQ 2018
9 balls are to be placed in 9 boxes and 5 of the balls cannot fit into 3 small boxes. The number of ways of arranging one ball in each of the boxes is

NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

#### Solution

First off all select 5 boxes out 6 boxes in which 5 big ball can fit then arrange these ball in these 5 boxes and then put remaining 4 ball in any remaining box.
So Ans is [(6C5)5!](4!) = 6!4! = 17280

NIMCET PYQ 2018
Which of the following function is the inverse of itself?

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NIMCET PYQ 2018
A student council has 10 members. From this one President, one Vice-President, one Secretary, one Joint-Secretary and two Executive Committee members have to be elected. In how many ways this can be done?

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NIMCET PYQ 2018
In a survey where 100 students reported which subject they like, 32 students in total liked Mathematics, 38 students liked Business and 30 students liked Literature. Moreover, 7 students liked both Mathematics and Literature, 10 students liked both Mathematics and Business. 8 students like both Business and Literature, 5 students liked all three subjects. Then the number of people who liked exactly one subject is

NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ 2018
If A and B are two events and , the A and B are two events which are

NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ 2018
If are positive real numbers whose product is a fixed number c, then the minimum of is

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NIMCET PYQ 2018
If a, b, c are the roots of the equation , then the value of is

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NIMCET PYQ 2018
The coefficient of in the expansion of is

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Let and be the roots f the equation and are the roots of the equation , then the value of r,

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How many natural numbers smaller than can be formed using the digits 1 and 2 only?

NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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If and , then the value of is

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NIMCET PYQ 2018
Differential coefficient of with respect to to

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NIMCET PYQ 2018 is continuous for

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NIMCET PYQ 2018
If , and are unit vectors, then does not exceeds

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NIMCET PYQ 2018
The vector lies in the plane of the vector and and bisects the angle between and . Then which of the following gives possible values of and ?

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NIMCET PYQ 2018
A bird is flying in a straight line with velocity vector 10i+6j+k, measured in km/hr. If the starting point is (1,2,3), how much time does it to take to reach a point in space that is 13m high from the ground?

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The value of is

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NIMCET PYQ 2018
If , then value of NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ 2018
In a triangle ABC, angle A=90° and D is the midpoint of AC. What is the value of equal to?

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#### Solution NIMCET PYQ 2018
Through any point (x, y) of a curve which passes through the origin, lines are drawn parallel to the coordinate axes. The curve, given that it divides the rectangle formed by the two lines and the axes into two areas, one of which is twice the other, represents a family of

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A line passing through P(4, 2) meets the x and y-axis at P and Q respectively. If O is the origin, then the locus of the centre of the circumcircle of ΔOPQ is -

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#### Solution  NIMCET PYQ 2018
Let n be the number of different 5 digit numbers, divisible by 4 that can be formed with the digits 1,2, 3, 4, 5 and 6, with no digit being repeated. What is the value of n ?

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#### Solution

We have to make 5 digit no. And also divisible by 4 using digits (1,2,3,4,5,6) To be divisible by 4 last two digit of 5 digits no should be divisible by 4 so we choose last two digits st they are divisible by 4 and rest with remaining four digits. Last two digits only can be 12,16,24,32,36,52,56,64 as all are divisible by 4. So total no of ways= no ways of choosing first 3 digits* no ways of choosing last two digits Total= (4*3*2)*(8) =192

Abhijeet Kushwaha

NIMCET PYQ 2018
A cube is made up of 125 one cm. square cubes placed on a table. How many squares are visible only on three sides?

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