6
Q:

If  and  then the value of  is:

A) 3(1+a+b) B) 2(1-a-b)
C) 3(1-a-b) D) 3(1+a-b)

Answer:   C) 3(1-a-b)

Explanation:

\inline \log_{3}30=\frac{1}{a}\; \; \Rightarrow \; \; a=\log_{30}3  and   \inline \log_{5}30=\frac{1}{b}

\inline \Rightarrow                  \inline b=\log_{30}5

               \inline 3\log_{30}2 = 3\left [ \log_{30}(30/15) \right ]

                              \inline = 3\left [ \log_{30}30-\log_{30}15 \right ]

                              \inline =3[\log_{30}30-(\log_{30}3+\log_{30}5)]

                              \inline =3[1-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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3 151
Q:

If  , then 

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

Explanation:

Given  

Now  = 

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4 178
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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7 502
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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8 783
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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8 688