AptiDude AptiDude

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 wher...

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

where,

  • a−20=X2+Ya - 20 = X^2 + Y
  • b−a=(X+1)2+Yb - a = (X + 1)^2 + Y
    (with
    b>ab > a
    )
  • c−b=(X+2)2+Yc - b = (X + 2)^2 + Y
    (with
    c>bc > b
    )
  • d−c=(X+3)2+Yd - c = (X + 3)^2 + Y
    (with
    d>cd > c
    )

Here,

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

Question: How many of the numbers

a,b,c,da, b, c, d
are divisible by 3?

Options

A.

a and c only

B.

a, b, and d only

C.

b and d only

D.

c and d only

E.

a and d only

hcfquadratic equationdivisibilitynumber series

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