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119
Q:

 If log 2 = 0.30103, Find the number of digits in 256 is

A) 17 B) 19
C) 23 D) 25

Answer:   A) 17



Explanation:

log(256) =56*0.30103 =16.85768.

 

Its characteristics is 16.

 

Hence, the number of digits in 256 is 17.

Subject: Logarithms
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Q:

It is given that log10 2= 0.301 and log10 3 = 0.477. How many digits are there in (108)10?

A) 19 B) 20
C) 21 D) 22
 
Answer & Explanation Answer: C) 21

Explanation:
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38 4598
Q:

If 5x - 17 = -x + 7, then x = ?

A) 4 B) 5
C) 7 D) 9
 
Answer & Explanation Answer: A) 4

Explanation:

Given equation  5x-17 = -x+7

Add 1x to each side of the equation

5x-17+x = -x+7+x

6x=24

x=4

 

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17 2559
Q:

Solve the equation (12)2x+1 = 1 ?

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

Explanation:

Rewrite equation as (12)2x+1 = (12)0

 

Leads to 2x + 1 = 0 

 

Solve for x : x = -1/2

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37 6173
Q:

If log7(2) = m, then log49(28) 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:

log49(28) = 12log7(7×4)

 

= 12+12(2log7(2))
= 12+log7(2)
12 + m
1+2m2.

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62 12091
Q:

If a2+b2 = c2 , then 1logc+a(b) + 1logc-a(b) = ?

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

Explanation:

Given a2 + b2 = c2

 

Now  1logc+a(b)  + 1logc-a(b) 

 

logb(c+a) + logb(c-a)

 

logb(c2-a2)

2logb(b) = 2

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30 10553
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, log 64 = 1.8061

 i.e log(43)=1.8061 

--> 3 log 4 = 1.8061

--> log 4 = 0.6020

--> 2 log 4 = 1.2040

log(42)=1.2040

Therefore, log 16 = 1.2040

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49 17077
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:

Time=Sum of length of the two trainsDifference in speeds

20=(100+x)252 

 X=150m

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45 7620
Q:

For xN, x>1,  and  p=logx(x+1)q=logx+1(x+2) 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:

kl>k+1l+1 for (k,l) > 0 and  k > l 

 

 

 

Let     k = x+1    and   l = x

 

 

 

Therefore, x+1x>(x+1)+1(x)+1

 

 

 

 (x + 1) > x

 

 

 

Therefore, log(x+1)log(x)>log(x+2)log(x+1)

 

 

 

logx(x+1) >logx+1(x+2)

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33 6432