4 √5 + 6√5 + ½√5 =
1.23 / 2√5
2.12√5
3.21/2√5
4.2 / 3 √5
52 men can do a piece of work in 12 days. 28 men will do it in
1.65 days
2.60 days
3.56 days
4.67 days
A natural number x is chosen at random from the first one hundred natural numbers. What is the probability that (x + 100/x) > 50
1.13/20
2.3/5
3.9/20
4.11/20
A set consisting of a definite number of elements is called a
1.Null set
2.Singleton set
3.Infinite set
4.Finite set
A set is known by its _______
1.Values
2.Elements
3.Letters
4.Members
A survey showed that 63 % of the Americans like cheese whereas 76 % like apples. If x % of Americans like both cheese and apples, then find the range of x?
1.0 ≤ x ≤ 23 %
2.0 ≤ x ≤ 39 %
3.4 ≤ x ≤ 35 %
4.6 ≤ x ≤ 33 %
A triangular matrix can be
1.Upper triangular
2.Lower triangular
3.Both
4.None
A= [aij] mxn is a square matrix, if
1.m < n
2.m > n
3.m = n
4.None of these
Equation of line joining (3,1), and(9,3) using determinants are
1.x -3y =0
2.x +3y =0
3.y +3x =0
4.y -3x =0
Exogenous variables of a matrix are called
1.Endogenous variables
2.Dependent variables
3.Mixed variables
4.Independent variables
Find the Harmonic Mean between 2/3 and -4/3.
1.8/3
2.16/3
3.-8/3
4.-16/3
Find the term independent of x in the expansion of (x2 + 1/x)9
1.6 th term
2.8th term
3.7 th term
4.8th term
Find values of k if area of triangle is 4sq. units and vertices are (k, 0), (4,0), (0,2)
1.0, 8
2.8, 0
3.0, 0
4.8, 8
For which value of c are the lines parallel 2x – y=10 -cx + 2y =5
1.c =2
2.c=3
3.c=1
4.c=4
Given 5x +3y = 8, -2x +5y =10 and 3x +βy =4 . Equation I consistent for
1.β =46/33
2.β =47/33
3.β =45/33
4.β =41/33
How many 10 digits numbers can be written by using the digits 1and 2
1.10C1 + 9C2
2.210
3.10C2
4.10!
If A = cosØ -sinØ then A+ A = I, if the value of Ø sin Ø cosØ
1.π/6
2.π/3
3.π
4.3π/2
If A = {1, 2, 4} B = {2, 4, 5}, C = {2, 5} then (A – B) x (B – C)1.{(1, 2), (1, 5), (2, 5) }
2.{(1, 4)}
3.(1, 4)
4.None of these.
If A and B are two sets containing respectively m and n distinct elements. How many different relations can be defined for A and B?
1.2mn
2.2m+n
3.2m-n
4.2m/n
If A is a square matrix such that A2 = A, then (I + A )3 -7A is equal to
1.A
2.I – A
3.I
4.3A
If area of a triangle is 35sq.units with vertices (2, -6), (5,4) and (k, 4). Then k is
1.12
2.-2
3.-12, -2
4.12, -2
If f(x) = + , then f(x) is
1.An odd function
2.An even function
3.Neither odd nor even
4.None of the above
If f(x) = - then the value of 2(f(x))- 5f(x-1) + 2f(x-2) is
1.1
2.-3
3.15
4.None of these
If in a group of n distinct objects, the number of arrangements of 4 objects is 12 times the number of arrangements of 2 objects, then the number of objects is
1.10
2.8
3.6
4.None of these
If θ is the amplitude of (a + ib) / (a – ib), then tan θ=
1.2a / a2 + b2
2.(a² - b2) / (a2 + b2)
3.2ab / ( a2 - b2)
4.None of these
If log10 2 = 0.3010, then log2 10 is equal to:
1.0.6990
2.1000/301
3.699/301
4.0.3010
If nC12 + nC8 , then n=
1.20
2.12
3.6
4.30
If the matrix A is both symmetric and skew symmetric, then
1.A is a diagonal matrix
2.A is a zero matrix
3.A is a square matrix
4.None of these
If the second term of G.P. is 2 and the sum of its infinite terms is 8, then its first term is
1.1 / 4
2.1 / 2
3.2
4.4
If x ≠ 1, and f(x) = x + 1 / x – 1 is a real function, then f(f(f(2))) is
1.1
2.2
3.3
4.4
In how much time will Rs 3000 amount to Rs 3993 at 40% p.a compounded quarterly.
1.8 months
2.6 months
3.9months
4.11 months
Let R be a relation N define by x + 2y = 8 . The domain of R is
1.{2,4,8}
2.{2,4,6,8}
3.{2,4,6}
4.{1,2,3,4}
Matrices A and B will be inverse of each other only if
1.AB = BA
2.AB =BA = 0
3.AB =0, BA =I
4.AB = BA = I
Solve x +2y +3z =4, 2x +3y +8z =7 and x –y -9z =1 using Gauss-Jordan method
1.x=1, y=2, z=3
2.x=0, y=1, z=3
3.x=2, y=1, z=0
4.x=3, y=0, z=1
The area of a triangle whose vertices are ( 3, 8), ( -4, 2) and (5 ,1) is
1.63/2
2.51/2
3.61/2
4.55/2
The middle term of the expansion ( x -1/x )10 is
1.-252
2.-250
3.-248
4.-262
The multiplicative inverse of (-5 / 8) x (16 / 15)
1.– 2 / 3
2.2 / 3
3.-3 / 2
4.3 / 2
The number of all possible matrices of order 3x3 with each entry 0 or 1 is:
1.27
2.18
3.81
4.512
The number of different signals which can be given from 6 flags of different colours taken one or more at a time is
1.1958
2.1956
3.16
4.64
The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is
1.6
2.9
3.12
4.18
The number of positive integral solution of abc = 30 is
1.27
2.81
3.243
4.None of these
The probability that a man will live 10 years is ¼ and the probability that his wife will live 10 more years is 1/3. Then the probability that neither will be alive in 10 years as
1.5/12
2.7/12
3.½
4.11/12
The range of the function f(X) = x / |x| is
1.R - {0}
2.R – {-1, 1}
3.{-1, 1}
4.None of these
The reciprocal of a negative rational number is
1.Positive
2.0
3.1
4.Negative
The sum of all two digit numbers when divided by 4, yield unity as remainder is
1.1200
2.1210
3.1250
4.None of these
The sum of three numbers in G.P. is 35 and their product is 1000. The numbers are
1.5, 10, 20
2.20, 10, 15
3.10, 5, 0
4.20, 10, 10
The term without x in the expansion ( 2x – 1/2x2 )12 is
1.495
2.-495
3.-7920
4.7920
The twentieth term of √2, 3√2, 5√2, 7√2, … is
1.28√2
2.19√2
3.30√2
4.39√2
The value of (1+ i)(1 +i2)(1+i3)(1+ )
1.2
2.0
3.1
4.1
Two matrices A and B are said to be equal if,
1.A and B are not of same order
2.A and B are of symmetric order
3.A and B are of null order
4.A and B are of same order