Simplification Questions

• Solve the following : 27 - [38 - {46 - (15 - 13 - 2)}]
• If a+b+c = 0, then (a^3 + b^3 + c^3)^2 = ?
• Compute : 1112 / 139 - 5
• If x +y = √3 and x - y = √2, then the value of 8xy (x2 + y2) is
• Find the greatest number that will divide 390, 495 and 300 without leaving a remainder
• If a2b+c=b2C+a=a2a+b=1 then 11+a+11+b+11+c is
• Mr. Ankit is on tour to Siachin and he has Rs. 360 for his expenditure. If he exceeds his tour by 4 days, he must trim down his daily expenditure by Rs.3. Forhow many days is Mr. Ankit is on tour?
• If 9 * 6 = 45, 7 * 4 = 33, and 6 * 4 = 20, then what is the value of 5 * 3?
• When 721 + 722 + 723 + 724 is divided by 25 the remainder is:
• If a.sin 45°.cos 45°.tan60° = tan 245° cos60° then find the value of a ?
• The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower in meters is
• If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3 sec θ?
• If 4(x+y) = 256 and (256)(x-y) = 4 , then what is the value of x and y?
• If m n = 2 , mn = 15 , (m , n > 0) then the value of m2-n2m3-n3
• If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of x3 + y3+ z3 ?
• If x3 – y3 = 81 and x – y = 3, then what is the value of x2 + y2 ?
• If cot A = [sin B/(1 – cos B)], then what is the value of cot 2A?
• For the inequation x^2–7x + 12 > 0, which one of the following is correct ?
• If tan x = 1, 0 < x < 90, then what is the value of 2 sin x cos x?
• What is the value of sin 46 cos 44+ cos 46 sin 44?