Logarithms - General Aptitude - General Aptitude (GA) Previous Year Questions

1

2015 · General Aptitude (GA) · General Aptitude · Logarithms

Mechanical Engineering (ME) 2015 [Session 1]

\(\log \tan 1^\circ + \log \tan 2^\circ + \ldots \ldots + \log \tan 89^\circ\) is.....

A

1

B

1/2

C

0

D

-1

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2

2015 · General Aptitude (GA) · General Aptitude · Logarithms

Mechanical Engineering (ME) 2015 [Session 2]

If \(x > y > 1\), which of the following must be true?
i. \(\ln x > \ln y\)    ii. \(e^x > e^y\)    iii. \(y^x > x^y\)    iv. \(\cos x > \cos y\)

A

(i) and (ii)

B

(i) and (iii)

C

(ii) and (iv)

D

(iii) and (iv)

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3

2015 · General Aptitude (GA) · General Aptitude · Logarithms

Mechanical Engineering (ME) 2015 [Session 2]

\(\log \tan 1^\circ + \log \tan 2^\circ + \ldots \ldots + \log \tan 89^\circ\) is....

A

1

B

1/2

C

0

D

-1

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4

2016 · General Aptitude (GA) · General Aptitude · Logarithms

Mechanical Engineering (ME) 2016 [Session 1]

If \( q^{-a} = \frac{1}{r} \) and \( r^{-b} = \frac{1}{s} \) and \( s^{-c} = \frac{1}{q} \), the value of \( abc \) is ____.

A

\((rqs)^{-1} \)

B

0

C

1

D

\(r+q+s \)

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5

2016 · General Aptitude (GA) · General Aptitude · Logarithms

Mechanical Engineering (ME) 2016 [Session 2]

Which of the following curves represents the function y = ln(e^{|sin(|x|)|}) for |x| < 2π? Here, x represents the abscissa and y represents the ordinate.

A

Graph A

B

Graph B

C

Graph C

D

Graph D

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6

2018 · General Aptitude (GA) · General Aptitude · Logarithms

Mechanical Engineering (ME) 2018 [Session 1]

For integers \(a\), \(b\) and \(c\), what would be the minimum and maximum values respectively of \(a + b + c\) if \(\log |a| + \log |b| + \log |c| = 0\)?

A

-3 and 3

B

-1 and 1

C

-1 and 3

D

1 and 3

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7

2018 · General Aptitude (GA) · General Aptitude · Logarithms

Mechanical Engineering (ME) 2018 [Session 2]

The value of the expression \(\frac{1}{1+\log_u vw} + \frac{1}{1+\log_v wu} + \frac{1}{1+\log_w uv}\) is ________.

A

-1

B

0

C

1

D

3

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8

2026 · General Aptitude (GA) · General Aptitude · Logarithms

Mechanical Engineering (ME) 2026

If a positive real \(x\) satisfies the following equation
\[ \log_2 x + \log_{\sqrt{2}} x = 48, \]
then the value of \(x\) is ______________

A

\(2^{16}\)

B

\(4^{16}\)

C

\(2^{14}\)

D

\(4^{14}\)

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