Solve the cryptarithm: `4\ x\ A B C= A B ` does not have any solution.

Solve the cryptarithm: A B \ X\ A B =\ A C B

Solve the cryptarithm: B A X B3= 57A

Solve the cryptarithm : A B + B A =\ D A D \

Solve the following cryptarithms: A B x 6=B B B

Solve the following cryptarithms: 3 7 +A B = 9 A

Solve each of the following Cryptarithms: (i) A1+1B = B0

Solve the system: x sin a + y sin 2a + z sin 3a = sin 4a x sin b + y sin 2b + z sin 3b = sin 4b x sin c + y sin 2c + z sin 3c = sin 4c

Find the solution for following cryptarithms: A B x 3 =C A B

If c lt 0 and ax^2 + bx + c = 0 does not have any real roots then prove that: (i) a-b + c lt 0 , (ii) 9a +3b +c lt 0

A compound (A) is a sodium salt of dibasic acid and on electrolysis gives a gas (B), gas CO_(2) at anode, and H_(2)(g) at cathode. Gas (B) does not give any test for unsaturation, i.e., it does not decolourise Br_(2) water solution and aqueous KMnO_(4) solution. Gas (B) on reaction with (H_(2)+Pt) at room temperature does not react but at 120^(@)C , gas (B) gives butane. Identfy (A) and (B)