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Study Stuff for MCA Examinations

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The function is

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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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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,

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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 :

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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

The quadratic equation whose roots are is

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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

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

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

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The set of points, where is differential in

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Let be defined by . Find

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The slope of two-lines differ by

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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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The point of intersection os circle and the line is

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The number of solutions of the equation **sinx + sin5x = sin3x** lying in the interval is

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In an acute-angled ΔABC the least value of **secA+secB+secC** is

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If then the value of is

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

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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

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

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The area enclosed between the curves and is

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

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If and , then f(A)=

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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

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So Ans is [(6C5)5!](4!) = 6!4! = 17280

Which of the following function is the inverse of itself?

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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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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

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If A and B are two events and , the A and B are two events which are

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

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

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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?

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If and , then the value of is

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Differential coefficient of with respect to to

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is continuous for

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If , and are unit vectors, then does not exceeds

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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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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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If , then value of

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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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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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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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Abhijeet Kushwaha

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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