Subject

    Govt.Jobs

    Topic

    জাতীয় নিরাপত্তা গোয়েন্দা সংস্থা (NSI) সহকারী পরিচালক - ২৩.০৫.২০২৫

    Which of the following is the largest?

    ক)
    227
    খ)
    1253
    গ)
    518
    ঘ)
    44.1024
    ঙ)
    279

    Explanation

    Let's simplify each option to comparable base powers: A) 2 27 already in base 2 B) 125 3 = (5 3 ) 3 = 5 9 C) 5 18 already in base 5 D) 4 4 × 1024=(2 2 ) 4 × 2 10 = 2 8 × 2 10 = 2 18 E) 27 9 = (3 3 ) 9 = 3 27 Now observe: 5 18 is clearly much larger than 5 9 2 27 is larger than 2 18 But base 3 raised to 27 (i.e, 3 27 ) grows faster than all Since 3 27 increases faster than any of the others, option E is the largest.

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