ABC26GN1999 · Surds and Indices
Subject: General Aptitude · Chapter: Surds and Indices · Exam: · Marks: · Difficulty:
The quotient when 10100 is divided by 575 is [SSC—CHSL (10+2) Exam, 2015] 25
(a)2 × 10 75
(b)1025
(c)275
(d)275 × 1025
Answer
Explanation
Expression = ( 5 )75 = ( 2 × 5) 100 = ( 2)100 × ( 5)100 = 2100 × 5100 = 2100 × 5(100 −75) ( 5)75 ( 5)75 5 75 a m m−n n = a a = 2100 × 525 = 2 25 × 5 25 × 2 75 { am × an = am+n} = ( 10 ) 25 × 2 75 { am × b m = ab m}
Explanation as extracted from the printed page; notation may be imperfect.
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