[B].
[C].
[D].
Answer: Option A
Explanation:
For every natural number n, (xn – an) is completely divisible by (x – a).
[B].
[C].
[D].
Answer: Option C
Explanation:
| (A + B)’s 1 day’s work = | 1 | + | 1 | = | 1 | . | ||
| 15 | 10 | 6 |
| Work done by A and B in 2 days = | 1 | x 2 | = | 1 | . | ||
| 6 | 3 |
| Remaining work = | 1 – | 1 | = | 2 | . | ||
| 3 | 3 |
| Now, | 1 | work is done by A in 1 day. |
| 15 |
| 2 | work will be done by a in | 15 x | 2 | = 10 days. | |||
| 3 | 3 |
Hence, the total time taken = (10 + 2) = 12 days.
A. 7 years
B. 10 years
C. 15 years
D. 20 years
Explanation:
Let principal be Rs x and the rate is R % p.a.
Then X × (1 + R/100)5 = 2x
=> (1 + R/100)5 = 2
Let x × (1 + R/100)t = 8x
=> (1 + R/100)t = 8 = 23
={(1 + R/100)5 }3
=> (1 + R/100)t = (1 + R/100)15
=> T = 15 Years
[B].
[C].
[D].
Answer: Option C
Explanation:
Numbers are 12, 22, 32, 42, 52, 62, 72.
So, the next number is 82 = 64.
[B].
[C].
[D].
Answer: Option D
Explanation:
Let original length = x and original breadth = y.
| Decrease in area |
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| Decrease % = | 7 | xy x | 1 | x 100 | % | = 28%. | |
| 25 | xy |
[B].
[C].
[D].
Answer: Option B
Explanation:
Formula: (Divisor*Quotient) + Remainder = Dividend.
Soln:
(56*Q)+29 = D ——-(1)
D%8 = R ————-(2)
From equation(2),
((56*Q)+29)%8 = R.
=> Assume Q = 1.
=> (56+29)%8 = R.
=> 85%8 = R
=> 5 = R.
[B].
[C].
[D].
Answer: Option C
Explanation:
| log (264) | = 64 x log 2 |
| = (64 x 0.30103) | |
| = 19.26592 |
Its characteristic is 19.
Hence, then number of digits in 264 is 20.