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Question 1
From the data given, the median of the average deposit balance of saving for the branch during August 2020 is :
Question 2
Find the roots of equation 
?
?
Question 3
Both the roots of the equation 
are always
are always
Question 4
Evaluate: 1 + ω8 + ω16 + ω24 + ω32
Question 5
Let f : R → R : f(x) = x2 + 1. Find f-1(10)
Question 6
If f(x) = x2 – 3x + 4 and f(x) = f(2x + 1), find the values of x
Question 7
For x = 
, what is the value of 
?
, what is the value of ? Question 8
How many solutions of the system of the equations 
, 
?
, ?
Question 9
If one zero of the polynomial 
is reciprocal of the other, find the value of 
.
is reciprocal of the other, find the value of .
Question 10
Find the values of 
for which the system of equations 
, 
has a unique solution ?
for which the system of equations , has a unique solution ?
Question 11
For what value of k can be expression x3 + kx2 – 7x + 6 be resolved into three linear factors?
Question 12
If X = {a, {b}, c},
Y = {{a}, b, c} and
Z = {a, b, {c)},
then (X ∩ Y) ∩ Z equals to
Question 13
What is (x – a)(x – b) (x – c) equal to?
Question 14
If 
, then the value of 
is :
, then the value of is :
Question 15
If x and y are the zeros of the polynomial 
then find the value of 
.
then find the value of .
Question 16
Under what condition do the equation 8x+3y+5=0 and 2x-ky+9=0 have a unique solution?
Question 17
In a certain examination, students can offer papers in English or Hindi or both the subjects. The number of students who appeared in examination is 1200 of whom 500 appeared in English and 200 appeared in both English and Hindi. Find the number of students who offered paper in Hindi only.
Question 18
Two numbers m and n (m > n) such that their sum is equal to three times their difference. Then the value of 
will be :
will be :
Question 19
Find the value of ‘
’ , so that the polynomial 
has (x-1) and (x+3) as factors.
’ , so that the polynomial has (x-1) and (x+3) as factors.
Question 20
A fraction is such that the numerator is five less than the denominator. Also three times the numerator is one less than the denominator. The fraction is:
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Dec 24CDS & Defence
