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If m is the A.M. of two distinct real numbers $l$and $n(l,n>1)$and$G_{1},G_{2}$ and $G_{3}$ are three geometric means between $l$and n, then $G_{1}+2G_{2}+G_{3}$equals,

The number of integers greater than $6,000$ that can be formed, using the digits $3,5,6,7and8,$ without repetition, is :

If $α,β=0$, and $f(n)=α_{n}+β_{n}$and \displaystyle{\mid}{3}{1}+{f}

A gaseous hydrocarbon gives upon combustion 0.72 g of water and 3.08 g of $CO_{2}.$ The empirical formula of the hydrocarbon is:

Locus of the image of the point (2, 3) in the line $(2x−3y+4)+k(x−2y+3)=0,kϵR$, is a :

If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is :

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 41) and (41, 0), is :

Which one of the following alkaline earth metal sulphates has its hydration enthalpy greater than its lattice enthalpy ?