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Free download in PDF Class 11 Maths Chapter 9 Sequences and Series Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries./p>
1
The lengths of three unequal edges of a rectangular solid block are in G.P. If the volume of the block is 216 cm3 and the total surface area is 252 cm2 , then the length of the longest edge is
A
12 cm
B
6 cm
C
18 cm
D
3 cm
Answer & Explanation
2
If the sum of the first 2n terms of the A.P. 2, 5, 8, ….., is equal to the sum of the first n terms of the A.P. 57, 59, 61, ….., then n equals
A
492 – 1
B
492
C
502 +l
D
492 +2
Answer & Explanation
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4
Let Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn , then S3n : Sn is equal to
Answer & Explanation
5
If in an A.P., Sn = qn2 and Sm = qm2 , where Sr denotes the sum of r terms of the AP, then Sq equals
A
q3 /2
B
mnq
C
q3
D
(m+n)q2
Answer & Explanation
6
If 9 times the 9th term of an A.P. is equal to 13 times the 13th term, then the 22nd term of the A.P. is
Answer & Explanation
7
If the third term of G.P. is 4, then the product of its first 5 terms is
A
43
B
44
C
45
D
none of these
Answer & Explanation
8
If the sum of n terms of an A.P. is given by Sn = 3n + 2n2 , then the common difference of the A.P. is
Answer & Explanation
9
If the product of three positive real numbers say a, b, c be 27, then the minimum value of ab + bc + ca is equal to
Answer & Explanation
11
Let a, b and c be positive real numbers such that a + b + c = 6. Then range of ab2 c3 is
A
(0, ¥)
B
(0, 1)
C
(0, 108]
D
(6, 108]
Answer & Explanation
12
Let p, q, r Î R+ and 27pqr ³ ( p + q + r)3 and 3p + 4q + 5r = 12 then p3 + q4 + r5 is equal to
A
3
B
6
C
2
D
None of these
Answer & Explanation
13
If the sum Sn of n terms of a progression is a cubic polynomial in n, then the progression whose sum of n terms is Sn – Sn-1 is
A
An A. P.
B
A G. P.
C
A H.P.
D
An A. G. P.
Answer & Explanation
14
If a, b, c are in H.P. and a > c > 0 , then 1/b-c - 1/a-b
A
Is positive
B
Is zero
C
Is negative
D
Has no fixed sign.
Answer & Explanation
15
Let the positive numbers a, b, c, d be in A.P. then abc, abd, acd, bcd are
A
Not in A.P./G.P./H.P.
B
In A.P.
C
In G.P.
D
In H.P.
Answer & Explanation
16
Three non-zero numbers a, b and c are in A.P.. Increasing a by 1 or increasing c by 2 the number become in G.P., then ‘b’ equals to
Answer & Explanation
17
If
= 0 and a + c −b ¹ 0, then a, b, c are in
A
A.P.
B
G.P.
C
H.P.
D
None of these
Answer & Explanation
18
If a, b, c are in A.P., then a3 + c3 − 8b3 is equal to
A
2abc
B
6abc
C
4abc
D
None of these
Answer & Explanation
19
If the roots of the equation a(b − c)x2 + b(c − a)x + c(a − b) = 0 are equal, then a, b, c are in
A
A.P.
B
.G.P.
C
H.P.
D
None of these
Answer & Explanation
20
If b + c, c + a, a + b are in H.P., then a2 , b2 , c2 will be in
A
G.P.
B
H.P.
C
A.P.
D
None of these
Answer & Explanation
Chapters
= 0 and a + c −b ¹ 0, then a, b, c are in