14
Q:

A) 1/x B) x/(x+1)
C) x/(1-x) D) x/(x-1)

Answer:   D) x/(x-1)

Explanation:

\inline \fn_jvn {\color{Black}\log_{a}(ab)=x}

\inline \fn_jvn {\color{Black}\Leftrightarrow \frac{\log (ab)}{\log (a)}=x}

\inline \fn_jvn {\color{Black}\Leftrightarrow \frac{\log (a)+\log(b)}{\log (a)}=x}

\inline \fn_jvn {\color{Black}\Leftrightarrow \frac{\log(b)}{\log(a)}=x-1}

\inline \fn_jvn {\color{Black}\Leftrightarrow \frac{\log(a)}{\log(b)}=\frac{1}{x-1}}

\inline \fn_jvn {\color{Black}\Leftrightarrow 1+\frac{\log(a)}{\log(b)}=1+\frac{1}{x-1}}

\inline \fn_jvn {\color{Black}\Leftrightarrow \frac{\log(b)+\log(a)}{\log(b)}=\frac{x}{x-1}}

\inline \fn_jvn {\color{Black}\Leftrightarrow \log_{b}(ab)=\frac{x}{x-1}}

Q:

A fast moving superfast express crosses another pasenger train in 20 seconds. The speed of faster train is 72 km/hr and speeds of slower train is 27 km/h. Also the length of faster ntrain is 100m, then find the length of the slower train if they are moving in the same direction.

A) 100 m B) 125 m
C) 150 m D) 175 m
 
Answer & Explanation Answer: C) 150 m

Explanation:

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7 499
Q:

For  and  , then which one of the following is correct?

A) P < Q B) P = Q
C) P > Q D) can't be determined
 
Answer & Explanation Answer: C) P > Q

Explanation:

 for (k,l) > 0 and  k > l

Let     k = x+1    and   l = x

 

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6 471
Q:

The Value of   is 

A) -1 B) 0
C) 1/2 D) 1
 
Answer & Explanation Answer: B) 0

Explanation:

                                                                 

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6 514
Q:

What is the number of digits in ? Given that log3 = 0.47712?

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: B) 13

Explanation:

 Let   

Then ,    

= 27 x 0.47712 = 12.88224

Since the characteristic in the resultant value of log x is 12

 The number of digits in x is (12 + 1) = 13

Hence the required number of digits in  is 13.

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4 544
Q:

Find value of 

A) 1/2 B) 3/2
C) 2 D) 2/3
 
Answer & Explanation Answer: B) 3/2

Explanation:

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5 523