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1
QUEST
TUTORIALS
Head Office
: E16/289, Sector8, Rohini, New Delhi, Ph. 65395439
1.
A question paper is divided into two
parts A and B and each part contains
5 questions . The number of ways in
which a candidate can answer 6
questions selecting atleast two
questions from each part is :
(A)
80
(B)
100
(C)
200
(D)
None of these
2.
If
15
C
3r
=
15
C
r + 3
, then the value of
r is
(A)
3
(B)
4
(C)
2
(D)
1
3.
47
C
4
+
r
=
∑
1
5
52  r
C
3
=
(A)
47
C
6
(B)
52
C
5
(C)
52
C
4
(D)
None of these
4.
If
2n
C
3
:
n
C
2
= 44 : 3, then for which
of the following values of r, the value
of
n
C
r
will be 15 :
(A)
r = 3
(B)
r = 4
(C)
r = 6
(D)
r = 5
5.
There are four balls of different
colours and boxes of colours same as
those of the balls . The number of
ways in which the balls, one in each
box, could be placed such that a ball
does not go to box of its own colour
is :
(A)
8
(B)
7
(C)
9
(D)
None of these
6.
The number of numbers that can be
formed with the help of the digits
1, 2, 3, 4, 3, 2, 1 so that odd digits
always occupy odd places, is :
(A)
24
(B)
18
(C)
12
(D)
30
7.
Ten different letters of an alphabet are
given . Words with five letters are
formed from these given letters . Then
the number of words which have
atleast one letter repeated is :
(A)
69760
(B)
30240
(C)
99748
(D)
None of these
8.
Eight chairs are numbered 1 to 8 .
Two women and three men wish to
occupy one chair each . First the
women choose the chairs from
amongst the chairs marked 1 to 4 and
then men select the chairs from
amongst the remaining . The number
of possible arrangements is :
(A)
6
C
3
×
4
C
2
(B)
4
C
2
×
4
P
3
(C)
4
P
2
4
P
3
(D)
None of these
9.
The number of ways in which the
letters of the word ARRANGE can be
arranged such that both R do not come
together is :
(A)
360
(B)
900
(C)
1260
(D)
1620
10.
In how many ways a garland can be
made from exactly 10 flowers ?
(A)
10
!
(B)
9
!
(C)
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This note was uploaded on 10/05/2011 for the course MATH 1201 taught by Professor Friesner during the Spring '11 term at St. Mary NE.
 Spring '11
 Friesner
 Algebra

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