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Read the data carefully and answer the following question: Given the sequence: 20 , a , b , c , d , 65 20, a, b, c, d, 65 20 , a , b , c , d , 65 The ...

Banking SBI PO Mains Medium Verbal Reasoning MCQ

Question

Read the data carefully and answer the following question:

Given the sequence:

20,a,b,c,d,6520, a, b, c, d, 65

The terms satisfy the following relations:

  • a−20=X2+Ya - 20 = X^2 + Y
  • b−a=(X+1)2+Y(b>a)b - a = (X + 1)^2 + Y \\ (b > a)
  • c−b=(X+2)2+Y(c>b)c - b = (X + 2)^2 + Y \\ (c > b)
  • d−c=(X+3)2+Y(d>c)d - c = (X + 3)^2 + Y \\ (d > c)

Where:

  • XX
    is the HCF of two prime numbers
    MM
    and
    NN
  • YY
    is the smallest root of the quadratic equation
    z2−z−6=0z^2 - z - 6 = 0

Find the value of

dd
.

Options

A.

$19$

B.

$21$

C.

$28$

D.

$42$

E.

$48$

number serieshcfquadratic equationsequencereasoning

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