(1+)(1+) is
4
2
Zero
If (10)^{9} + 2(11)^{1} (10)^{8} + 3(11)^{2} (10)^{7} +...... +10 (11)^{9} = k (10)^{9}, then k is equal to :
100
110
Use
Sum of n terms of a GP 
 wherein
first term
common ratio
number of terms
and
(10)^{9} + 2(11)^{1} (10)^{8} + 3(11)^{2} (10)^{7} +...... +10 (11)^{9} = k(10)^{9}
Take common 10^{9}
Subtract
Option 1)
100
Option 2)
110
Option 3)
Option 4)
If the coefficients of x^{3} and x^{4} in the expansion of (1 + ax + bx^{2}) (1  2x)^{18} in powers of x are both zero, then (a, b) is equal to :
The sum of first 20 terms of the sequence 0.7 ,0.77,0.777,.........,is :
As we learnt
Sum of infinite terms of a GP 
 wherein
first term
common ratio
Option 1)
Option 2)
Option 3)
Option 4)
The graph of the function is symmetrical about the line ,then
As we learnt in
Even Function 
 wherein
Symmetric about Y  axis
Since a graph symmetric about yaxis
means x = 0 then it is even function and f(x) = f(x)
f(0  x) = f(0 + x) (b < z it is symmetric about v = 0 )
But in question it is symmetric about x = 2
then f(x  2) = f(x + 2)
Correct option is 3.
Option 1)
Option 2)
Option 3)
Option 4)
if and
is an empty set.
contains exactly one element.
contains exactly two elements.
contains more than two elements.
As we learnt in
FUNCTIONS 
A relation f from a set A to a set B is said to be a function if every element of set A has one and only one image in set B.

Put at the place of
(i)
(ii)
Multiplying (i) by 2
and
Correct option is 3.
Option 1)
is an empty set.
Option 2)
contains exactly one element.
Option 3)
contains exactly two elements.
Option 4)
contains more than two elements.
The real number for which the equation, has two distinct real roots in
does not exist.
lies between 1 and 2 .
lies between 2 and 3 .
lies between 1 and 0 .
As we have learned
Quadratic Expression Graph when a> 0 & D > 0 
Real and distinct roots of
&
 wherein
is the abscissa of vertex
and , it should lie in(0,1 ) but it's not true
S, no value of 'k' exists
Option 1)
does not exist.
Option 2)
lies between 1 and 2 .
Option 3)
lies between 2 and 3 .
Option 4)
lies between 1 and 0 .
Let and be the roots of equation are in A.P. and then the value of is ?
As we have learned
Sum of Roots in Quadratic Equation 
 wherein
are root of quadratic equation
Product of Roots in Quadratic Equation 
 wherein
are roots of quadratic equation:
@1449
Also
Also p+r =2q
Option 1)
Option 2)
Option 3)
Option 4)
If z is a complex number of unit modulus and argument ,then arg equals:
As we have learned
Euler's Form of a Complex number 
 wherein
r denotes modulus of z and denotes argument of z.
Polar Form of a Complex Number 
 wherein
r= modulus of z and is the argument of z
Arg (z)=
So,
Option 1)
Option 2)
Option 3)
Option 4)
If the equations have a common root, then a : b : c is :
3 : 1 : 2
1 : 2 : 3
3 : 2 : 1
1 : 3 : 2
As we have learned
Quadratic Expression Graph when a > 0 & D < 0 
No Real and Equal root of
&
 wherein
Condition for both roots common 
 wherein
&
are the 2 equations
For
Discriminant = 412 = 8 < 0
Both the roots are common as complex roots occur in conjugate
Option 1)
3 : 1 : 2
Option 2)
1 : 2 : 3
Option 3)
3 : 2 : 1
Option 4)
1 : 3 : 2
If is the adjoint of a 3 x 3 matrix A and = 4,then is equal to :
0
4
11
5
As we have learned
Property of adjoint of A 
 wherein
denotes adjoint of and denotes determinant of and is the order of the matrix
Option 1)
0
Option 2)
4
Option 3)
11
Option 4)
5
Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of AB having 3 or more elements is :
211
256
220
219
n(A) = 4, n(B) = 2
Number of sbsets having atlest 3 elements
Option 1)
211
Incorrect
Option 2)
256
Incorrect
Option 3)
220
Incorrect
Option 4)
219
Correct
In how many differnt ways can 3 different rings be worn in 5 fingers of a hand?
3! x 5!
3^{5}
210
180
if a, b and c from G.P with common ration r ,the sum of the y cordinates of the points of intersection of the line ax+by+c=0 and the curve is
As learnt in
General term of a GP 
 wherein
first term
common ratio
And,
Also,
Option 1)
This option is incorrect.
Option 2)
This option is incorrect.
Option 3)
This option is correct.
Option 4)
This option is incorrect.
Then K is equal to
4
4
0
None
With the help of matrices , the solution of the equations
x=1, y=2,z=1
x=1,y=2,z=1
x=6,y=2,z=1
x=1,y=2,z=1
what is the 2015th term of a sequence of natural numbers written in accending order, that does not have any perfect squares.
2058
2059
2060
2062
Three pairs of dice are rolled simultaneously. In how many different ways can the sum of the numbers appearing on the top faces of the 3 dices be 9?
18
25
22
27
There are two parallel lines with 6 points on one line and 8 points on the other. How many quadrilaterals can be formed by joining points on the two lines?
210
205
418
420