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Alpha, Beta and Gama went for a picnic at Jurassic Park, when they feel hungry they took out the stuff they brought. Alpha bought 6 sandwiches while Beta bought 4 and Gamma bought none. Both Alpha and Beta shared their sandwiches with Gamma such that each got the same amount. If Gamma paid a total amount of Rs. 10 to Alpha and Beta, how much of Rs. 10 should Alpha get ? (Assume that sandwiches and rupees can be split.)
If $${\text{tan }}\alpha = 2,$$   then the value of $$\frac{{{\text{cose}}{{\text{c}}^2}\alpha - {\text{se}}{{\text{c}}^2}\alpha }}{{{\text{cose}}{{\text{c}}^2}\alpha + se{c^2}\alpha }}$$   is?
There are two medium L1 and L2 of refractive index n1 and n2 respectively (n2  > n1 > 1). In which of the following condition the total internal reflection may occur: a) When the light travel from medium L1 to medium L2. b) When the light travels from medium L2 to medium L1. c) When the light travel from medium L1 to air. d) When the light travels from air to medium L2. Which of the following statement is correct?
Consider the following statements about hydrocarbons. i. Alkanes are saturated hydrocarbons that contain single bonds. ii. Alkynes are unsaturated hydrocarbons that contain one or more double bonds.  iii. Alkenes are Unsaturated hydrocarbons that contain one or more triple bonds.   
If 8α9 = -72, -9α3 = 27 and -6α1 = 6, then find the value of -3α6 = ?
If 16α1 = 8, 14α6 = 42 and 12α5 = 30, then find the value of 2α6 = ?
If 18α1 = 34, 19α2 = 34 and 18α3 = 30, then find the value of 18α8 = ?
If 18α12 = 3, 2α14 = -6 and 4α4 = 0, then find the value of 2α16 = ?
If 6α1 = 70, 2α3 = 50 and 4α5 = 90, then find the value of 1α4 = ?
A system in a normalized state $$\left| \psi \right\rangle = {c_1}\left| {{\alpha _1}} \right\rangle + {c_2}\left| {{\alpha _2}} \right\rangle $$    with $$\left| {{\alpha _1}} \right\rangle $$ and $$\left| {{\alpha _2}} \right\rangle $$ representing two different eigen states of the system requires that the constants c1 and c2 must satisfy the condition