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SSC CGL Exam  >  SSC CGL Tests  >  Quantitative Aptitude for SSC CGL  >  MCQ: Logarithms - 2 - SSC CGL MCQ

MCQ: Logarithms - 2 - SSC CGL MCQ


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15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Logarithms - 2

MCQ: Logarithms - 2 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Logarithms - 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Logarithms - 2 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Logarithms - 2 below.
Solutions of MCQ: Logarithms - 2 questions in English are available as part of our Quantitative Aptitude for SSC CGL for SSC CGL & MCQ: Logarithms - 2 solutions in Hindi for Quantitative Aptitude for SSC CGL course. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free. Attempt MCQ: Logarithms - 2 | 15 questions in 15 minutes | Mock test for SSC CGL preparation | Free important questions MCQ to study Quantitative Aptitude for SSC CGL for SSC CGL Exam | Download free PDF with solutions
MCQ: Logarithms - 2 - Question 1
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If log 2 = 0.3010, then the number of digits in 264 is ?

Detailed Solution for MCQ: Logarithms - 2 - Question 1

Required answer = [64 log10 2] + 1
= [ 64 x 0.3010 ] + 1
= 19.264 + 1
= 19 + 1
= 20

MCQ: Logarithms - 2 - Question 2
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The value of log23 x log32 x log34 x log43 is ?

Detailed Solution for MCQ: Logarithms - 2 - Question 2

Given Exp.= log23 x log 32 x log34 x log43
= (log3 / log2) x ( log2 / log3) x (log4 / log3) x (log3 / log4) = 1 

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MCQ: Logarithms - 2 - Question 3
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The value of log 9/8 - log 27/32 + log3/4 is ?

Detailed Solution for MCQ: Logarithms - 2 - Question 3

Given Exp. = log [{(9/8) / (27/32)} x 3/4)]
= log [(9/8) x (3/4) x (32/27)]
= log 1
= 0

MCQ: Logarithms - 2 - Question 4
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The value of  is ?
Detailed Solution for MCQ: Logarithms - 2 - Question 4

∵ loga x = ( logabx) / (logaba)
∴ The given expression = [[(logabx) / (logaba)] / [( logabx )] - ( logab)
= (1/logaba) - logab = logaab - logab = loga(ab/b)
= logaa = 1 

MCQ: Logarithms - 2 - Question 5
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Given that log10 2 = 0.3010, then log2 10 is equal to ?
Detailed Solution for MCQ: Logarithms - 2 - Question 5

log2 10 = log 10 / log 2
= 1 / log 2
= 1.0000 / 0.3010
= 1000 / 301 

MCQ: Logarithms - 2 - Question 6
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The simplified form of log(75/16) -2 log(5/9) +log(32/243) is ?
Detailed Solution for MCQ: Logarithms - 2 - Question 6

= log75/16 - 2 log5/9 + log32/343
= log [(25 x 3) / (4 x 4)] - log (25/81) + log [(16 x 2) / (81 x 3)]
= log(25 x 3) - log ( 4 x 4 ) - log(25) + log81 + log(16 x 2) -log (81 x 3)
= log 25 + log 3 - log 16 - log 25 + log 81 + log 16 + log 2 - log 81 - log 3
= log 2 

MCQ: Logarithms - 2 - Question 7
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If log102 =0.3010 and log107 = 0.8451, then the value of log10 2.8 is ?
Detailed Solution for MCQ: Logarithms - 2 - Question 7

log102.8 = log10(28/10)
= log 28 - log 10
= log (7 x 4 ) - log 10
= log 7 + 2 log 2 - log 10
= 0.8451 + 2 x 0.3010 - 1
= 0.8451 + 0.6020 - 1
= 0.4471 

MCQ: Logarithms - 2 - Question 8
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Find the value of log (a2 / bc) + log (b2 / ac) + log (c2 / ab) ?
Detailed Solution for MCQ: Logarithms - 2 - Question 8

Given Exp. = log (a2 / bc) + log (b2 / ac) + log (c2 / ab)
= log [(a2 x b2 x c2) / (a2 x b2 x c2)]
= log 1
= 0 

MCQ: Logarithms - 2 - Question 9
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If log 2 = 0.3010 then log 5 equals to ?
Detailed Solution for MCQ: Logarithms - 2 - Question 9

log 5 = log 10 /2 = log 10 - log 2
= 1 - 0.3010 = 0.6990

MCQ: Logarithms - 2 - Question 10
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If log10 2 = 0.301, then the value of log10(50) is ?
Detailed Solution for MCQ: Logarithms - 2 - Question 10

log1050 = log10[(50 x 2) / 2]
= log 100 - log 2
= log10102 - log 2
= 2 - 0.301
= 1.699 

MCQ: Logarithms - 2 - Question 11
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Find the value of log 8 + log 1/8 ?
Detailed Solution for MCQ: Logarithms - 2 - Question 11

Given expression = log 8 + log (1/8)
= log 8 x (1/8)
= log 1
= 0

MCQ: Logarithms - 2 - Question 12
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Find the value of log x + log (1/x) ?
Detailed Solution for MCQ: Logarithms - 2 - Question 12

Given expression = log x + log1/x
= log x + log 1 - log x
= log 1
= 0

MCQ: Logarithms - 2 - Question 13
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If 2 log4x = 1 + log4 (x-1), find the value of x. ?
Detailed Solution for MCQ: Logarithms - 2 - Question 13

∵ 2log4x = 1 + log4(x-1)
⇒ log4x2 = log44 + log4(x-1)
⇒ x2 = 4(x-1)
⇒ x2 - 4x + 4 = 0
⇒ (x-2)2 = 0
∴ x = 2 

MCQ: Logarithms - 2 - Question 14
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The equation logax + loga (1 + x) = 0 can be written as ?
Detailed Solution for MCQ: Logarithms - 2 - Question 14

logax + loga(1+x) = 0
⇒ logax (x+1) = loga1 (since log 1 = 0)
⇒ x(x +1) = 1
∴ x2 + x - 1 = 0 

MCQ: Logarithms - 2 - Question 15
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If log 90 = 1.9542 then log 3 equals to ?
Detailed Solution for MCQ: Logarithms - 2 - Question 15

Given log90 = 1.9542
⇒ log(32 x 10) = 1.9542
⇒ 2log 3 + log 10 = 1.9542
∴ log 3 = 0.9542 / 2 = 0.4771 

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