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Find the pattern of the series and answer the question given below. Note: A: K = Square root of smallest two-digit perfect square
Question

Find the pattern of the series and answer the question given below.

Note:
A: K = Square root of smallest two-digit perfect square.
B: P = Second smallest two-digit prime number.
C: S = Natural number, Maximum value of
Quantity I: 4 × 3rd term of the given series.
Quantity II: C/3
Quantity III: K × S³ + 100.

A.

Quantity I > Quantity II > Quantity III

B.

Quantity I < Quantity II = Quantity III

C.

Quantity I = Quantity II = Quantity III

D.

Quantity I ≤ Quantity II < Quantity III

E.

Quantity I ≥ Quantity II = Quantity III

Correct option is C


Smallest two-digit perfect square = 16
Square root of smallest two-digit perfect square = 4
K = 4
Second smallest two-digit prime number = 13
P = 13
Natural number, Maximum value of


Series = 5, 30, 150, 600, C
The pattern of the series:

C = 600 × 3
C = 1800
Quantity I: 4 × 3rd term of the given series.
= 4 × 150 = 600
Quantity II: C/3
= 1800/3 = 600
Quantity III: K × S³ + 100.
= 4 × 5³ + 100
= 600
So, Quantity I = Quantity II = Quantity III

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