IPMAT Indore 2019Algebra > Mediumnnn is a multiple of 2 but not a multiple of 4nnn is a multiple of 3nnn can be any multiple of 4The only possible value of nnn is 4✅ Correct Option: 3Related questions:If (1+x−2x2)6=A0+∑r=112Arxr(1 + x - 2x^2)^6 = A_0 + \sum_{r=1}^{12} A_r x^r(1+x−2x2)6=A0+∑r=112Arxr, then the value of A2+A4+A6+⋯+A12A_2 + A_4 + A_6 + \cdots + A_{12}A2+A4+A6+⋯+A12 isLet α,β\alpha, \betaα,β be the roots of x2−x+p=0x^2 - x + p = 0x2−x+p=0 and γ,δ\gamma, \deltaγ,δ be the roots of x2−4x+q=0x^2 - 4x + q = 0x2−4x+q=0 where p and q are integers. If α,β,γ,δ\alpha, \beta, \gamma, \deltaα,β,γ,δ are in geometric progression then p+qp + qp+q isThe sum up to 101010 terms of the series 1⋅3+5⋅7+9⋅11+...1 \cdot 3 + 5 \cdot 7 + 9 \cdot 11 + ...1⋅3+5⋅7+9⋅11+... is