2
Q:

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

A) A B) A=B
C) A>B D) can't be determined

Answer:   B) A=B

Explanation:

  \inline A = \frac{\log_{3}2187}{5}=\frac{1}{5}\log_{3}2187

                          =  \inline \frac{1}{5}\log_{3}(3^{7})=\frac{7}{5}\log_{3}3=\frac{7}{5}

and \inline B=\log_{243}2187=\frac{\log_{3}2187}{\log_{3}243}=\frac{\log_{3}3^{7}}{\log_{3}3^{5}}=\frac{7}{5}

   \therefore    A = B

Q:

If  = m, then  is equal to ?

A) 1/(1+2m) B) (1+2m)/2
C) 2m/(2m+1) D) (2m+1)/2m
 
Answer & Explanation Answer: B) (1+2m)/2

Explanation:

=
=

.

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3 112
Q:

If  , then 

A) 1 B) 2
C) 4 D) 8
 
Answer & Explanation Answer: B) 2

Explanation:

Given  

Now  = 

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3 118
Q:

If log 64 = 1.8061, then the value of log 16 will be (approx)?

A) 1.9048 B) 1.2040
C) 0.9840 D) 1.4521
 
Answer & Explanation Answer: B) 1.2040

Explanation:

Given that, 

 

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7 368
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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7 741
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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8 651