( - 3 / 2) + (5 / 4) – (- 7 / 4)
1.-2
2.2
3.7/4
4.3 / 2
55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days?
1.84 cows
2.34 cows
3.88 cows
4.44 cows
A diagonal matrix in which all diagonal elements are equal is called
1.Unit matrix
2.Null matrix
3.Scalar matrix
4.Triangular matrix
A private taxi charges a fare of Rs. 260 for a journey of 200 km. How much would it travel for Rs 279.50?
1.215
2.363.35
3.186
4.240
A relation R ={(1,1), (1,2)}ON a ={1,2,3}. A minimum number of elements required in R so that the enlarged relation becomes an equilance relationis1.{(2,2), (3,3)}
2.{(2,1) , (3,1), (3,3)}
3.{(2,2), (2,1), }
4.{(2,2), (3,3), (2,1)}
Cube root of 5 x cube root of 7 is
1.Cube root of 35
2.Cube root of 12
3.Cube root of 7 / 5
4.Cube root of 2
Equation of line joining (1,2) and (3,6) using determinants is
1.y = 3x
2.y =2x
3.x = 2y
4.x =3x
Find the 5th term in the expansion ( 1 -2x )-1
1.15x3
2.16x4
3.17x5
4.14x6
Find the compound interest for Rs 10000 for 2 years at 5% per annum the interest being compounded annually.
1.Rs 1000
2.Rs 1025
3.Rs 1050
4.Rs 1100
Find the domain of the function y = f(x) which is defined as f(x) = (1 / √{x- [x]}) [x] is the greatest integer function1.x is any real number other than an integer
2.And real value of x
3.All natural numbers
4.None of these
Find the sum of 17 terms of the A.P. 5, 9, 13, 17, …
1.623
2.580
3.629
4.650
From 8 gentlemen and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done so as to include at least one lady?
1.736
2.728
3.280
4.792
How many numbers greater than 10 lakhs be formed from 2, 3, 0, 3, 4, 2, 3?
1.420
2.360
3.400
4.300
How many terms of A.P. 21, 18, 15, 12, … must be taken to give the sum zero.
1.10
2.15
3.22
4.11
If A = a b is such that A2 = I, then c - a
1.1+ a2 + bc =0
2.1+ a2 + bc =0
3.1 –a2 -bc = 0
4.1 +a2 -bc=0
If A = {1, 2, 3}, B = {1,4,6, 9} and R is a relation from A to B defined by x is greater than y. The range of R is1.{1, 4, 6, 9}
2.{4, 6, 9}
3.{1}
4.None of these
If A is an invertible matrix of order 2, then det( A-1) is equal to
1.det( A)
2.1/det( A)
3.1
4.0
If A, B are symmetric matrices of the same order, then AB – BA is a
1.Skew symmetric matrix
2.Symmetric matrix
3.Zero matrix
4.Identity matrix
If b = f(a) and f(a) = (a – 1) / (a + 1), which of the following is true?
1.f(2a) = f(a) + 1
2.f(1/a) = -f(a)
3.a = f(b) + f(1/a)
4.a = f(b)
If in an infinite G.P., the first term is equal to the sum of all successive terms then its common ratio is
1.1 / 10
2.1 / 11
3.1 / 9
4.1 / 20
If in expansion of (1 +y)n the coefficient of the 5th, 6th and the 7th terms are in A.P the n is equal to
1.7, 11
2.7, 14
3.8, 16
4.None of these
If n arithmetic means are inserted between 1 and 31, such that the ratio of the first mean and the nth mean is 3 : 29, then the value of n is
1.10
2.12
3.13
4.14
If probability P( n, r) =720 and combination C(n, r) =120 then r is
1.9
2.8
3.5
4.3
If R is a relation from a finite set A having m elements to a finite set B having n elements, then the number of relations from A to B is
1.2mn
2.2mn -1
3.2mn
4.Mn
If Ram has 3 tickets of a lottery for which 10 tickets were sold and 5 prizes are to be given, the probability that he will win at least one prize is
1.7/12
2.9/12
3.1/12
4.11/12
If the set has p elements, b has q elements, the no of elements in A x B is
1.p + q
2.p + q + 1
3.pq
4.p2
If z = (2-3i) and z2-4z+13 = 0 and hence find the value of (4z3-3z2+169)
1.0
2.-1
3.10
4.9
In a set – builder method, the null set is represented by
1.{ }
2.Φ
3.{ x : x ≠x }
4.{ x : x = x }
In a survey conducted in Patna, it was found that 3/4ths of town owns color T.V., 85 % of the people own refrigerators and every 4 in 5 in the town own music systems, what is the minimum percentage of people who have all the three?
1.30 %
2.55 %
3.40 %
4.None of these
In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?
1.28
2.36
3.4! 4!
4.2.4! 4!
In PERT the span of time between the optimistic and pessismistic time estimates of an activity is _______
1.3σ
2.12σ
3.6σ
4.None of the above.
Inverse of a square matrix A, denoted by A-1 is also a square matrix of the same order such that A A-1 is
1.A-1
2.A
3.I
4.AI
Is xyz
1.Non linear
2.Linear
3.Binomial
4.None of these
Let A be a square matrix of order 3 x 3, then | kA | is equal to
1.k | A |
2.k2 | A |
3.k3 | A |
4.3k | A |
Let f = {(x, x2 /1+x2 ): x € R } be a function from R into R . range of x is1.negative real numbers.
2.non negative real numbers.
3.positive real numbers.
4.any positive real number x such that 0≤ x <1
Let f(x) = x / x+ 3, then f (x + 1) =
1.3x + 2/ x+ 2
2.x + 1 / x + 4
3.(x + 1) / (x + 3)
4.2 x + 3 / (x + 3)
Log 36 / log 6
1.5
2.8
3.3
4.2
The argument of (1 – i) / (1 + i) is
1.– π / 2
2.Ï€ / 2
3.Ï€ 3 / 2
4.5 π / 2
The greatest possible number of points of intersection of 8 straight lines and 4 circles is
1.32
2.64
3.76
4.104
The number of diagonals that can be drawn by joining the vertices of an octagon is
1.20
2.28
3.8
4.16
The number of triangles that can be formed with 10 points as vertices, n of them being collinear, is 110. Then n is
1.3
2.4
3.5
4.6
The range of the function f(x) = |x - 1| is
1.(- ∞, 0)
2.[0, ∞)
3.(0, - ∞)
4.R
The sum of all odd numbers between 100 and 200 is
1.7,000
2.8,000
3.8,500
4.7,500
The two geometric means between the numbers 1 and 64 are
1.1 and 64
2.2 and 16
3.4 and 16
4.3 and 16
The union of infinite number of open sets is
1.An open set
2.A closed set
3.Need not be an open set
4.Not a set