Start learning 50% faster. Sign in now
For I: (a - 6)2 = (9a - P - a2) Or, a2 + 36 - 12a = 9a - P - a2 Or, 2a2- 21a + (36 + P) = 0 Since, 2.5 is a root of the given equation, 2 × (2.5)2- (21 × 2.5) + (36 + P) = 0 2 × 6.25 - 52.5 + 36 + P = 0 Or, 12.5 - 52.5 + 36 + P = 0 Or, - 40 + 36 + P = 0 So, 'P' = 4 So, the given equation becomes, 2a2- 21a + 36 + 4 = 0 Or, 2a2- 21a + 40 = 0 So, product of the roots = (40/2) = 20 So, other root of equation I = 20 ÷ 2.5 = 8 So, smaller root of equation II = 8 ÷ 2 = 4 Now, for II: (P - b)2 + (b + Q)2 = 3(9b - B) + 10 Or, (4 - b)2 + (b + Q)2 = 27b - 3Q + 10 Or, 16 + b2- 8b + b2 + Q2 + 2Qb = 27b - 3Q + 10 Or, 2b2- 8b + 2Qb - 27b + 6 + 3Q + Q2 = 0 Or, 2b2- b(8 - 2Q + 27) + 6 + 3Q + Q2 = 0 Since, 4 is a root of the given equation, 2 × (4)2 - 4 × (35 - 2Q) + 6 + 3Q + Q2 = 0 Or, (2 × 16) - 140 + 8Q + 6 + 3Q + Q2 = 0 Or, 32 - 140 + 11Q + 6 + Q2 = 0 Or, Q2 + 11Q - 102 = 0 Or, Q2 + 17Q - 6Q - 102 = 0 Or, Q(Q + 17) - 6(Q + 17) = 0 Or, (Q + 17) (Q - 6) = 0 So, 'Q' = 6, or 'Q' = -17 Required product = 2.5 × 4 = 10
Which of the following numbers will replace the question mark (?) in the given series?
17, 38, 84, ?, 376, 772
In a code language, 'MUSCLE' is coded as USMLEC and 'FINGER' is coded as INFERG. How will 'THROAT' be coded in the same language?
In the given options, select the option that will complete the format of the picture.
Identify the number that does NOT belong to the following series.
289, 306, 340, 389, 459, 544
How many triangles are there in the given figure?
Which two numbers (not digits) should be interchanged to make the given equation correct?
116 - 92 ÷ 4 + 25 × 2 - 20 = 150
Which of the following terms will replace the question mark (?) in the given series?
MFT, NIS, PLQ, SON, WRJ, ?
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
Pointing to a photograph of a boy, Nita said, "He is the son of the only daughter of my mother". How is Nita related to the boy?