For x?N, x>1 , and p=logxx+1 , q=logx+1x+2 then which one of the following is co

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Home ‣ Aptitude ‣ Logarithm See What Others Are Saying!

Question
For x?N, x>1 , and p=logxx+1 , q=logx+1x+2 then which one of the following is correct?
Options
A. p < q
B. p = q
C. p > q
D. can't be determined

Correct Answer

p > q

Explanation

$\frac{k}{l} > \frac{k + 1}{l + 1}$ for (k,l) > 0 and k > l

Let k = x+1 and l = x

Therefore, $\frac{x + 1}{x} > \frac{(x + 1) + 1}{(x) + 1}$

(x + 1) > x

Therefore, $\frac{\log (x + 1)}{\log (x)} > \frac{\log (x + 2)}{\log (x + 1)}$

$? \log_{x} (x + 1) > \log_{x + 1} (x + 2)$

More questions

1.
The median for the data 2, 4, 6, 8, 10, 12, 14 is
Options
A. 6
B. 8
C. 9.5
D. 10

Discuss

Correct Answer: 8

Explanation:

4th observation i.e., 8 is the median.

2.
The value of 47 / 10000 is?
Options
A. .0047
B. .0470
C. .00047
D. .000047

Discuss

Correct Answer: .0047

Explanation:

47/10000 = .0047

3. If 4x = 18y, then the value of ( x/y - 1) is
Options
A. 1 3
B. 7 2
C. 2 3
D. 3 2

Discuss

Correct Answer: 7 2

4.
If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
Options
A. 144
B. 158
C. 159
D. 166

Discuss

Correct Answer: 144

Explanation:

5.
.02 =(......?.....)%
Options
A. 20
B. 2
C. .02
D. .2

Discuss

Correct Answer: 2

Explanation:

.02 =(2/100) x 100% =2%

6.
If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?
Options
A. 45
B. 55
C. 60
D. 72

Discuss

Correct Answer: 60

Explanation:

7.
2?63 / 11 =233
Options
A. 4
B. 3
C. 6
D. 5

Discuss

Correct Answer: 5

Explanation:

Let N / 11 = 233
Then, N = 233 x 11 = 2563
? Missing digit is 5.

8.
When 121012 is divided by 12, the remainder is
Options
A. 0
B. 2
C. 3
D. 4

Discuss

Correct Answer: 4

Explanation:

121012 = 12 x 10084 + 4
? remainder = 4

9.
Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
Options
A. 18 days
B. 21 days
C. 3 days
D. 6 days

Discuss

Correct Answer: 18 days

Explanation:

We have the important relation, More work, More time (days)
? A piece of work can be done in 6 days.
? Three times of work of same type can be done in 6 x 3
= 18 days

10.
750.0003 � 19.999 =?
Options
A. 49
B. 18
C. 22
D. 38

Discuss

Correct Answer: 38

Explanation:

? = 750.0003 � 19.999
? ? ? 750 � 20
? ? ? 375 ? 38

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For x?N, x>1 , and p=logxx+1 , q=logx+1x+2 then which one of the following is correct?

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