Simplification Questions

• If a/(a+b) = 15/21, what is (a+b)/(a-b) is equal to?
• (798+579)2- (798-579)2798 x 579 =
• If x varies as y and x = 8 when y = 15 then the value of x when y = 10 is:
• The sum of two positive integers is 80 & difference between them is 20. Then what is difference of squares of those numbers ?
• In a school there are 1500 students, 44% of them are girls. Monthly fee of each boy is 540 and fee of each girl is 25% less than that of a boy. The sum of fees of boys & girl is
• Simplify the equation 0.733+0.2730.732+0.272-0.73×0.27
• In a circle, two arcs of unequal length subtend angles in the ratio 5:3. If the smaller angle is 45° then the measure of other angle in degrees.
• The orthocentre of an obtuseangled triangle lies
• The radius of base of a right circular cone is 6cm and its slant height is 10cm. Then its volume is (use π=227)
• If a2+b2+c2=14 and a+b+c=6 , then the value of ab+bc+ca is,
• If ab+ba=1, then the value of a3+b3 is
• A, B and C are three points on a circle with centre O. The tangent at C meets BA produced at T. If ∠ATC = 30° and ∠ACT = 48°,then what is the value of ∠AOB ?
• If 3sinθ+4cosθ=5 (0<θ<90°) then the value of sinθ is
• If 11-13xx + 11-13yy + 11-13zz = 5 then what is the value of 1x + 1y + 1z = ?
• If 2x + (9/x) = 9, then what is the minimum value of x2+1x2 = ?
• If (5x – y)/(5x + y) = 3/7, then what is the value of (4x2 + y2 – 4xy)/(9x2 + 16y2 + 24xy) ?
• If (x + y)2 = xy + 1 and x3 – y3 = 1 , then what is the value of x – y?
• If sin θ + sin 5θ = sin 3θ and 0 < θ < (π/2), then what is the value of θ (in degrees)?
• If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2?
• If a+b=2c then the value of aa-c+cb-c is equal to (where a≠b≠c )