Practice Equations Questions and Answers

• Quantity I – In how many ways letters of MOBILE can be arranged when vowels are always together. Quantity II – In how many ways letters of ...
• An urn contains 3 green, 5 blue, 6 black and 4 yellow marbles. Quantity I – If two marbles are picked at random, what is the probability that both ar...
• 10 women and 12 men complete a certain piece of work in 30 days, if each women takes thrice the time taken by a man to finish the work. Quantity I –...
• There are 6 blue pens, 5 black pens and 4 green pens in a bag. Three pens are chosen randomly. Quantity I – The probability of their being 2 blue a...
• Quantity I – 3 Quantity II – 254 If  > 0 and  < 0 
• 10 women and 12 men complete a certain piece of work in 30 days, if each women takes thrice the time taken by a man to finish the work. Quantity I – Ho...
• If x + y + z = 0, then what is the value of (3y2 + x2 + z2)/(2y2 – xz)?
• If P = 7 + 4√3 and PQ = 1, then what is the value of 1/P2 + 1/Q2?
• If a3 + 3a2 + 9a = 1, then what is the value of a3 + (3/a)?
• x, y and z are real numbers. If x3 + y3 + z3 = 13,x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?...
• If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?
• If x3 + y3 + z3 = 3(1 + xyz), P = y + z – x, Q = z + x – y and R = x + y – z, then what is the value of P3 + Q3 + R3– 3PQR?...
• If x1x2x3 = 4(4 + x1 + x2 + x3), then what is the value of [1/(2 + x1)] + [1/(2 + x2)] + [1/(2 + x3)]?
• If α and β are the roots of equation x2 – x + 1 = 0, then which equation will have roots α3 and β3? ...
• If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?
• If 8x2 + y2 − 12x − 4xy + 9 = 0, then the value of (14x − 5y) is :
• If the nine-digit number 43x1145y2 is divisible by 88, then the value of (3x — 2y), for the smallest value of y, is:
•  is equal to:
• If x + y = 7 and xy = 10, then the value of (1/x3 + 1/x3) is :
• The value of = 3/4 ÷ 3/4  of 4/3 + 5/2 ÷ 2/5 of 5/4 – (2/3 + 2/3 of 5/6) is :
• If x + y + z = 19, xyz = 216 and xy + yz + 2x = 114, then the value of √ x3 + y3 + z3 + xyz  is :
• If 2cos2 Ɵ – 5cos Ɵ + 2 = 0,00 < Ɵ < 900 , then the value of (cosec Ɵ + cot Ɵ) is :
• If a + b + c = 0 then the value of (1/(a+b)(b+c)) + (1/(b+c)(c+a)) + (1/(c+a)(a+b)) is
• If x2 + y2 + 2x + 1 = 0, therefore the value of x31 + y35 is
• If X = (√5 + 1) / (√5 – 1) and y = (√5 – 1) / (√5 + 1) then  the value of (x 2+xy+y 2) / (x 2  &nda...
• If (x - 1/x)2 = 3, then the value of x6 + 1/x6 equals
• If x4 + 2x3 + ax2 + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are
• If a + b2 + c2 = 16, x2 + y2 + z2 = 25 and ax + by + cz = 20, then the value of (a+b+c)/(x+y+z)
• The value of x which satisfies the equation (x+a2+2c2) / (b+c) + (x+b2 +2a2) / (c+a) + (x+c+2b2) / (a+b) = 0 is ...
• If a3 = 117 + b3 and a = 3 + b, then the value of a + b is:
• If a + 1/a = -2 then the value of a1000 + a- 1000 is
• The value of the expression (1 + sec22° + cot68°)(1 – cosec22° + tan68°) is
• If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ − y cos θ = 0, then the value of x2 + y2 equals...
• If sec θ + tan θ = m(> 1), then the value of sin θ is (0° < θ < 90°)
• If (a2 − b2)sin θ + 2ab cos θ = a2 + b2, then tan θ =
• If 2y cos θ  = x sin θ  and 2x sec θ -  y cosec θ  = 3, then the value of x2+ 4y2 is...
• The expression of (cot θ + cosec θ −1) / (cot θ − cosec θ+1) is equal to ...
• The total number of even factors of 25 × 33 × 52 is:
• If -5 ≤ x ≤ 3 and -1 ≤ y ≤ 0, then the minimum value of 2y – 3x is:
• Find x, given 5 (√5)x+6 = (√5)2x+7 :