6
Q:

The value of x satisfying the following relation:

A) 1/3 B) -1/3
C) 3 D) None of these

Answer:   D) None of these

Explanation:

          \inline \log_{\frac{1}{2}}x=\log_{2}(3x-2)

\inline \Rightarrow    \inline -\log_{2}x = \log_{2}(3x-2)

\inline \Rightarrow    \inline \log_{2}(x^{-1})= \log_{2}(3x-2)

\inline \Rightarrow        \inline x^{-1}=(3x-2)

\inline \Rightarrow      \inline 3x^{2}-2x-1=0

\inline \Rightarrow      \inline 3x^{2}-3x+x-1=0

\inline \Rightarrow     \inline 3x(x-1)+1(x-1)=0

\inline \Rightarrow      x = 1, x= -1/3

but at x=-1/3, log x is not defined.

The only admissible value of x is 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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7 502
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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6 472
Q:

The Value of   is 

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

Explanation:

                                                                 

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6 515
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