Q.1
Correct Answer is:A,B
Solution Explain:
an+1 = an2 + an = an(an + 1)
Q.2
Correct Answer is:A,C
Solution Explain:
Q.3
Correct Answer is:A,B,D
Solution Explain:
Q.4
Correct Answer is:C,D
Solution Explain:
Q.5
Correct Answer is:B,D
Solution Explain:
Q.6
Correct Answer is:A,B,C
Solution Explain:
Q.7
Correct Answer is:A,D
Solution Explain:
Q.8
Correct Answer is:C,D
Solution Explain:
Q.9
Correct Answer is:A,B
Solution Explain:
Q.10
Correct Answer is:A,B,C
Solution Explain:
If p, q, r are in A.P., then pth, qth and rth terms are equal distant terms which are always in the same series of which they are terms
Q.11
Correct Answer is:C
Solution Explain:
21,22,23,.......k-1,k
⇒k=21.λ2, λ ∈ 1 also 100 ≤ k ≤ 999 and k should be odd
⇒100/21 ≤ λ2 ≤ 999/21 ⇒4.76 ≤ λ2 47.57
⇒λ=3,4,5,6 but λ should be odd ⇒ odd λ=3,5
⇒'k' can assume 2 different values
Q.12
Correct Answer is:D
Solution Explain:
Q.13
Correct Answer is:A,B
Solution Explain:
Q.14
Correct Answer is:A,D
Solution Explain:
a1 + a3 + a5 = -12
a + a + 2d + a + 4d = -12 (d > 0)
a + 2d = -4
a1a3a5 = 80
a(a + 2d) (a + 4d) = 80
or
(-4 -2d) (-4 +2d)= -20 ⇒ d = ± 3
Since A.P. is increasing, so d = + 3; a = -10, hence,