1. DAILY PRACTICE PROBLEMS
Subject : Mathematics Date : DPP No. : Class : XI Course :
DPP No. – 01
1. (24/10/10) Test Target : In (B) P & C upto 5-lectures and
In (C) P & C upto 3-lectures.
2. DPP upto 56 in both phases.
Total Marks : 20 Max. Time : 20 min.
Single choice Objective ('–1' negative marking) Q.1, 2, 3, 4 (3 marks 3 min.) [12, 12]
Match the Following (no negative marking) (2 × 4) Q.5 (8 marks 8 min.) [8, 8]
Ques. No. 1 2 3 4 5 Total
Mark obtained
1. Difference between the maximum value of 11
Cp
and maximum value of 10
Cq
is
(A) 11
C4
(B*) 10
C6
(C) 11
C5
(D) 10
C5
2. The value of
2 3 2n
2n 2n 2n
1 2 3
n n n n n
1 10 10 10 10
– C C – C .....
81 81 81 81 81
   is
(A) 2 (B) 0 (C) 1/2 (D*) 1
3. The coefficient of a8
b4
c9
d9
in (abc + abd + acd + bcd)10
is
(A) 10 ! (B)
!
9
!
9
!
4
!
8
!
10
(C*) 2520 (D) none of these
4. If Cr
= 10
Cr
for r = 1, 2, 3, ...., 10, then 1.2 C1
+ 2.3 C2
+ ........9.10 C9
=
(A) 130.28
(B) 130. 28
– 1 (C) 130. 28
+ 10 (D*) 130. 28
– 110
5. Match the column :
Column-I Column-II
(A) Last digit of (2227)2227
is (p) 1
(B) Last digit of
33
27
)
38
( is (q) 2
(C) Number of rational terms in the expansion of (r) 3
 20
5
/
1
3
2  are
(D) When 6n – 5n + 2 is divided by 25 remainder is, where n  N (s) 4
(t) 5
Ans. (A)  (r) ; (B)  (q); (C)  (r); (D)  (r)
54

2. DAILY PRACTICE PROBLEMS
Subject : Mathematics Date : DPP No. : Class : XI Course :
DPP No. – 02
Total Marks : 34 Max. Time : 36 min.
Multiple choice objective ('–1' negative marking) Q.1, 2 (5 marks 4 min.) [10, 8]
Subjective Questions ('–1' negative marking) Q.3, 4, 5, 6 (4 marks 5 min.) [16, 20]
Match the Following (no negative marking) (2 × 4) Q.7 (8 marks 8 min.) [8, 8]
Ques. No. 1 2 3 4 5 6 7 Total
Mark obtained
1. For all values of , the lines represented by the equation
(2 cos + 3 sin ) x + (3 cos – 5 sin ) y – (5 cos – 2 sin ) = 0
(A*) pass through a fixed point
(B*) vertex of the system is (1, 1)
(C*) pass through the origin if tan  =
2
5
(D) the line 3x – 4y = 3 is one of the member of the family
2. Let (1 + x2)2 (1 + x)n
= 


4
n
0
k
k
k x
a . If a1
, a2
, a3
are in A.P., then a value of n is
(A) 1 (B) 2 (C*) 3 (D*) 4
3. There are 6 roads between A & B and 4 roads between B & C.
(i) In how many ways can one drive from A to C by way of B?
[Ans. 24]
(ii) In how many ways can one drive from A to C and back to A, passing through B on both trips?
[Ans. 576]
(iii) In how many ways can one drive the circular trip described in (ii) without using the same road more
than once
[Ans. 360]
4. If repetitions are not allowed
(i) How many 3-digit numbers can be formed from the six digits 2, 3, 5, 6, 7 and 9. [Ans. 120]
(ii) How many of these are less than 400? [Ans. 40]
(iii) Howmany are even? [Ans. 40]
(iv) How many are odd? [Ans. 80]
(v) How many are multiples of 5? [Ans. 20]
5. How many car number plates can be made if each plate contains 2 different letters of english alphabet,
followed by 3 different digits.
[Ans. 468000]
6. How many numbers divisible by 5 and lying between 4000 and 5000 can be formed from the digits
4, 5, 6, 7 and 8 (Repetition of digits is allowed).
[Ans. 25]
7. Column - I Column - II
(A) If in the expansion of
5
x
tan
x
x
1






 , the ratio of 4th
(p) 7
term to the 2nd
term is
27
2
4
, the value of [x] can be
(where [.] is greatest integer function)
(B) The digit at 10's place of 3100
is (q) 0
(C) Let f(n) = 

n
1
k
2
k
n
2
C
.
k , then
250
)
5
(
f
= (r) 8
(D) The remainder when 22003
is divided by 17 is (s) 6
(t) 1
Ans. (A)  (t) ; (B)  (q) ; (C)  (p) ; (D)  (r)
55

3. DAILY PRACTICE PROBLEMS
Subject : Mathematics Date : DPP No. : Class : XI Course :
DPP No. – 03
Total Marks : 28 Max. Time : 32 min.
Single choice Objective ('–1' negative marking) Q.2, 3, 4, 7 (3 marks 3 min.) [12, 12]
Subjective Questions ('–1' negative marking) Q.1, 5, 6, 8 (4 marks 5 min.) [16, 20]
Ques. No. 1 2 3 4 5 6 7 8 Total
Mark obtained
1. How many 3–digit odd numbers can be formed using the digits 1, 2, 3, 4, 5, 6 if
(i) The repetition of digits is not allowed? (ii) The repetition of digits is allowed?
[Ans. 60, 108]
2. Two cards are drawn one at a time & without replacement from a pack of 52 card. The number of ways in
which the two cards can be drawn, are
(A*) 2652 (B) 2704 (C) 2500 (D) none of these
3. In a class there are 30 boys and 18 girls. The teacher wants to select one boy and one girl to represent the
class for a quiz competition, the number of ways in which the teacher make this selection, are
(A) 30! × 18! (B) 48! (C*) 540 (D) none of these
4. All possible three digit even numbers which can be formed with the condition that if 5 is one of the digit, then
7 is the next digit, is
(A) 5 (B) 325 (C) 345 (D*) 365
5. A library has two books each having three copies and three other books each having two copies. In how
many ways can all these books be arranged in a shelf so that copies of the same book are not
seperated?
Ans. 120
6. How many 10 digit numbers can be made with odd digits so that no two consecutive digits are same.
Ans. 5.49
7. The sum of all the four digit numbers that can be formed using the digits 1, 2, 3, 4 if repetition of digits is
allowed, is
(A) 399996 (B) 388840 (C*) 711040 (D) none of these
8. In how many ways can the letters of the word ‘CINEMA’ be arranged so that order of vowels do not change.
[Ans. 120]
56

4. PART TEST-3 (PT-3) SYLLABUS
CHEMISTRY
• Gaseous State
• Chemical Equilibrium
• Chemical Bonding (MOT, vanderwaals force and metallic bond)
• Mole Concept-2 (Till Taught)
• DPP No. 40 to 63
MATHEMATICS
• Straight line
• Circle
• Binomial Theorem
• Permutation & Combination
• DPP No. 40 to 56
PHYSICS
• Work Power and Energy
• Circular Motion
• Centre of Mass
• Rigid Body Dynamics (up to Moment of Inertia)
• DPP No. 40 to 60