(-3/5) x (-10/9) x (21/-4) x (-6)
1.21
2.42
3.35
4.15
-6 ÷ (-8 / 17)
1.48 / 17
2.– 51 / 4
3.51 / 4
4.– 48 / 17
A square matrix with each of its diagonal elements equal to unity and all non diagonal elements equal to zero is
1.Scalar matrix
2.Null matrix
3.Identity matrix
4.Column matrix
Among 14 players, 5 are bowlers. In how many ways a team of 11 may be formed with at least 4 bowlers?
1.265
2.263
3.264
4.2754
At what rate% per annum will Rs 64000 become Rs68921 in 1.5 years interest being compounded half yearly?
1.4%
2.6%
3.5%
4.7%
√14 is called
1.Cubic surd
2.Compound surd
3.Biquadratic surd
4.Quadratic surd
Evaluate Log 243 / Log 9
1.3/2
2.5/2
3.7/2
4.9/2
Find P-1 , if it exist , given P = 10 -2 -5 1
1.P-1 =0
2.P-1 = 1/10 0 1/2 1
3.P-1 =1
4.P-1 does not exist
Find the 5th term from the end in the expansion of (x3/2 - 2/x2)9
1.-252 x2
2.-252 x3
3.-250 x2
4.-250 x3
Find the 5th term from the end in the expansion of (x3/2 - 2/x2)9
1.4000
2.4096
3.4069
4.4009
Find the 5th term from the end of the G.P. 3, 6, 12, 24, …, 12,288
1.384
2.192
3.1536
4.768
Find the number of integral solutions of equation x + y + z + t = 29, x > 0 , y > 0 < z > 0 and t > 0
1.27C3
2.28C3
3.2600
4.29C4
Find the number of non-congruent rectangles that can be found on a normal 8*8 chessboard
1.24
2.36
3.48
4.None of these
Find the number of words formed by permuting all the letters of SERIES
1.177
2.160
3.156
4.180
Find the range for the relation : {(3, 5), (2, 5), (2, 6), (3, 7)1.{2, 3}
2.{5, 6, 7}
3.{3, 2, 6}
4.{2, 3, 5}
Find the sum of the series 2+5+8+ … +182
1.5520
2.5612
3.5623
4.5418
Find values of k if area of triangle is 3sq. units and vertices are (1,3), (0,0) and (k,0)
1.+3
2.-3
3.± 1
4.±2
How many 3 digit numbers with distinct digits can be formed such that the product of the digits is the cube of a positive integer?
1.21
2.24
3.36
4.30
How many terms of the A.P. 1, 4, 7, 10, … are needed to give the sum 715.
1.21
2.11
3.22
4.19
If 20Cr = 20Cr-10-10, then 18Cr is equal to
1.4896
2.816
3.1632
4.None of these
If in the expansion of (1 + x)15 the coefficient of (2r +3)th and (r -1)th terms are equal then the value of r is
1.5
2.6
3.4
4.3
If R is a relation on a finite set having a elements , then the number of relations on A is
1.2a
2.2a2
3.a²
4.aª
If R is the relation “is greater than†from A ={1,2,3,4,5}to B={1,3,4} , Than R-1 is1.{(1,2) ,(1,3),(1,4),(1,5)}
2.{(3,4),(4,5),(3,5)}
3.{(1,2), (1,3), (1,4), (3,4), (1,5), (3,5), (4,5)}
4.{(2,1), (3,1), (4,1),(4,3), (5,1), (5,3), (5,4)}
If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be
1.0
2.p – q
3.p + q
4.–(p + q)
If x and y vary inversely as each other, x = 10 when y = 6. Find y when x=15.
1.25
2.4
3.90
4.60
Is (x+y)(x-y) = -7
1.Linear
2.Non linear
3.Monomial
4.None
Is 3x -4y +5z =6
1.Linear
2.Non linear
3.Binominal
4.None
Let A ={1,2,3} and R= {(1,2), (1,1), (2,3)}be a relation on A.What minimum number of elements may be adjoined with the elements of R so that it becomes transitive.1.(1,2)
2.(1,3)
3.(2,3)
4.(1,1)
Let A be a non singular matrix of order 3 x3.Then |adj A | is equal to
1.|A |
2.|A |2
3.| A |3
4.3 | A|
Solve 2x + y +z =7 using Cramer’s rule 3x –y –z =-2 x +2y -3z =-4
1.x=1, y=2 , z=3
2.x=2, y=4, z=3
3.x=1, y=3, z=2
4.x=2, y=3, z=4
Solve f(x) = √9-x2 the range is
1.{x: 3< x <0}
2.{x: 0≤ x ≤ 3}
3.{x: 0< x < 3}
4.{x: 3≤ x ≤ 0}
Solve log √8/log 8 is the same as
1.1/√8
2.1/8
3.¼
4.½
The additive inverse of (-11 / -14) is
1.11 / 14
2.– 14 / 11
3.14 / 11
4.– 11 / 14
The coefficient of x-15 in the expansion of ( 3x2 -a/3x3) is
1.-42/27 a7
2.-40/27 a7
3.- 43/27 a6
4.-38/27 a6
The conjugate of a complex number z = (a + ib) is
1.– a – ib
2.b – ai
3.b + ai
4.a – ib
The cube root of 127 up to four places of decimal are
1.5.0264
2.4.1468
3.5.0236
4.4.1648
The equation x +ky +3z = 0 posses a non trivial solution for k if 2x +ky -2z =0 2x +3y -4z =0
1.k= 2
2.k= 3
3.k= 4
4.k=5
The number of non zero rows of a matrix in its row echelon form is a
1.Row matrix
2.Column matrix
3.Rank of matrix
4.Augmented matrix
The polar form of (i25)3 is
1.Cos π/2 + i Sin π/2
2.Cos π + i Sin π
3.Cos π – i Sin π
4.Cos π/2 - i Sin π/2
The probability of a bomb hitting a bridge is ½ and two direct hits are needed to destroy it. The least number of bombs required so that the probability of the bridge being destroyed is greater than 0.9 is
1.8
2.9
3.10
4.11
The product of r consecutive positive integers is divisible by
1.r!
2.(r – 1)!
3.( r + 1)!
4.None of these
The set of irrational numbers is
1.Finite
2.Countable
3.Uncountable
4.Infinite
Thickness of a pile of 12 cardboards is 35 mm. Hence the thickness of a pile of 294 cardboards is
1.80.50 cm
2.83.75 cm
3.85.75 cms
4.81.50 cms
Which of the following is correct:
1.Determinant is a square matrix
2.Determinant is a number associated to a square matrix.
3.Determinant is a number associated to a matrix.
4.None of these.
Write the modulus of 2+ √-3.
1.√ 7
2.√ 5
3.√ 13
4.√8