RRB Assistant Loco Pilot and Technician Model Paper 5 with solutions

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Question : 12 of 100

Marks: +1, -0

If

(3/5)^3(3/5)^{-6} = (3/5)^{2x-1}

, then x is equal to

–2
2
–1
1

Solution:

(c)

( { 3 }/ { 5 } ) ^ { 3 } ( { 3 }/ { 5 } ) ^ { - 6 }

=

( { 3 }/ { 5 } ) ^ { 2 x - 1 }

⇒

( { 3 }/ { 5 } ) ^ { 3 } ( { 3 }/ { 5 } ) ^ { - 3 } ({ 3 }/{ 5 } ) ^ { - 3 }

=

( { 3 }/ { 5 } ) ^ { 2 x - 1 }

⇒

( { 3 }/ { 5 } ) ^ { 0 } ( { 3 } / { 5 } ) ^ { - 3 }

=

( { 3 }/ { 5 } ) ^ { 2 x - 1 }

⇒ 2x – 1 = –3
⇒ 2x = –3 + 1 = –2
⇒ x = –1

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