Simplification Questions

• Determine the value of “s” for which the equation 5x + 35 = 60x + s has infinite number of solutions.
• What is the sum of a3+b3+c3-3abc, when the value of a=4, b=2 and c=-6?
• Which of the following conditions is TRUE for the two line segments AB and CD to be congruent?
• If each median of an equilateral triangle has a length of 12cm. Then what will be the value of in-radius (in cm) of the equilateral triangle?
• What is the value of 34+122 ?
• ∆ PQR is right angled at Q. If m∠R = 45°, then find the value of (cosecP - √3/2)
• ∆ XYZ is right angled at Y. If CosecX = 17/15, then what is the value of CotZ?
• A ship is full of cargo containers. It drops 2/3 of cargo containers at the first port and takes 60 more, at the second port it drops two third of the new total and takes eleven more. On arriving at the third port it is found that it have 48 cargo containers. Find the number of cargo containers in the ship at the starting?
• What is the value of (1/√3 + sin45 ) ?
• 9997 x 10003 = ?
• If (-1/2) * ( x - 5) + 3 = -5/2, then what is the value of x?
• If a - b = 1 and ab = 6, then what is the value of a3- b3 ?
• What is the value of Cot 45° + Cosec 60°?
• Δ LMN is right angled at M. If m∠N = 60 deg., then Tan L =______.
• If Tan θ = 4/3, then what is the value of Sin θ?
• If a2+b2=80 and ab = 32, then calculate the value of a-b/a+b.
• What is the value of (-7776)25
• What is the value of x3-1x3+8 when 8x-8x-16=0 ?
• What is the simplified value of 12-13 ?
• What is the value of (cot30°+ 2/√3) ?