2 + 22 + 23 + … + 29 = ?
2 + 22 + 23 + … + 29 = ?
[A].
[B].
[C].
[D].
Answer: Option B
Explanation:
| This is a G.P. in which a = 2, r = | 22 | = 2 and n = 9. |
| 2 |
| Sn = | a(rn – 1) | = | 2 x (29 – 1) | = 2 x (512 – 1) = 2 x 511 = 1022. |
| (r – 1) | (2 – 1) |
[B].
[C].
[D].
Answer: Option B
Explanation:
| This is a G.P. in which a = 2, r = | 22 | = 2 and n = 9. |
| 2 |
| Sn = | a(rn – 1) | = | 2 x (29 – 1) | = 2 x (512 – 1) = 2 x 511 = 1022. |
| (r – 1) | (2 – 1) |
A. 10 %
B. 12 %
C. 6 %
D. 8 %
Explanation:
5000 × (1 +R/100) 2 – 5000 –(10000R/100)= 72
=> 5000 [(1 + R/100) 2 – 1 – R/50] = 72
=> 1 + R2/100 + 2R/100 – 1 – R/50 = 72/5000
=> R2 = (72/5000 × 10000) = 144 or R =12%
A. Rs. 31
B. Rs. 32.10
C. Rs. 40.40
D. Rs. 64.10
Explanation:
S.I. = (1000 * 10 * 4)/100 = Rs. 400
C.I. = [1000 * (1 + 10/100)4 – 1000] = Rs. 464.10 Difference = (464.10 – 400) = Rs. 64.10
[B].
[C].
[D].
Answer: Option C
Explanation:
| Required number of ways | = (8C5 x 10C6) | |||||||
| = (8C3 x 10C4) | ||||||||
|
||||||||
| = 11760. |
[B].
[C].
[D].
Answer: Option B
Explanation:
| 3897 x 999 | = 3897 x (1000 – 1) |
| = 3897 x 1000 – 3897 x 1 | |
| = 3897000 – 3897 | |
| = 3893103. |
[B].
[C].
[D].
Answer: Option C
Explanation:
There are two series, beginning respectively with 3 and 7. In one 3 is added and in another 2 is subtracted.
The next number is 1 – 2 = -1.
[B].
[C].
[D].
Answer: Option B
Explanation:
Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.