If ax = by, then:
If ax = by, then:
[A].
| log | a | = | x |
| b | y |
[B].
| log a | = | x |
| log b | y |
[C].
| log a | = | y |
| log b | x |
[D].
Answer: Option C
Explanation:
ax = by
log ax = log by
x log a = y log b
| log a | = | y | . | |
| log b | x |
A. 32 km
B. 25 km
C. 28 km
D. 24 km
E. None of these
Explanation:
Let the distance between A and B be x km.
Total time = x/(9 + 1) + x/(9 – 1) = 4.5
=> x/10 + x/8 = 9/2 => (4x + 5x)/40 = 9/2 => x = 20 km.
A. Rs. 2.50
B. Rs. 3
C. Rs. 3.75
D. Rs. 4
Explanation:
S.I. = (1200 * 10 * 1)/100 = Rs. 120
C.I. = [1200 * (1 + 5/100)2 – 1200] = Rs. 123 Difference = (123 – 120) = Rs. 3.
[B].
[C].
[D].
Answer: Option D
Explanation:
Let A, B, C represent their respective weights. Then, we have:
A + B + C = (45 x 3) = 135 …. (i)
A + B = (40 x 2) = 80 …. (ii)
B + C = (43 x 2) = 86 ….(iii)
Adding (ii) and (iii), we get: A + 2B + C = 166 …. (iv)
Subtracting (i) from (iv), we get : B = 31.
B’s weight = 31 kg.
[B].
[C].
[D].
Answer: Option B
Explanation:
In each number except 383, the product of first and third digits is the middle one.
[B].
[C].
[D].
Answer: Option D
Explanation:
99 = 11 x 9, where 11 and 9 are co-prime.
By hit and trial, we find that 114345 is divisibleby 11 as well as 9. So, it is divisible by 99.
[B].
[C].
[D].
Answer: Option C
Explanation:
The year 2008 is a leap year. So, it has 2 odd days.
1st day of the year 2008 is Tuesday (Given)
So, 1st day of the year 2009 is 2 days beyond Tuesday.
Hence, it will be Thursday.