(1000)9 ÷ 1024 = ?
[A].
[B].
[C].
[D].
Answer: Option B
Explanation:
| Given Exp. = | (1000)9 | = | (103)9 | = | (10)27 | = 10(27-24) = 103 = 1000 | 
| 1024 | 1024 | 1024 | 
[B].
[C].
[D].
Answer: Option C
Explanation:
| Total time taken = | 160 | + | 160 | hrs. | = | 9 | hrs. | |
| 64 | 80 | 2 | 
| Average speed = | 320 x | 2 | km/hr | = 71.11 km/hr. | |
| 9 | 
[B].
[C].
[D].
Answer: Option A
Explanation:
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years.
[B].
[C].
[D].
Answer: Option B
Explanation:
Let the sum be Rs. 100. Then,
| S.I. for first 6 months = Rs. | 100 x 10 x 1 | = Rs. 5 | ||
| 100 x 2 | 
| S.I. for last 6 months = Rs. | 105 x 10 x 1 | = Rs. 5.25 | ||
| 100 x 2 | 
So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs. 110.25
Effective rate = (110.25 – 100) = 10.25%
[B].
[C].
[D].
Answer: Option C
Explanation:
Let the cistern be filled by pipe A alone in x hours.
Then, pipe B will fill it in (x + 6) hours.
| 1 | + | 1 | = | 1 | |
| x | (x + 6) | 4 | 
| x + 6 + x | = | 1 | |
| x(x + 6) | 4 | 
x2 – 2x – 24 = 0
(x -6)(x + 4) = 0
x = 6. [neglecting the negative value of x]
[B].
[C].
[D].
Answer: Option A
Explanation:
| Rebate = 6% of Rs. 6650 = Rs. | 6 | x 6650 | = Rs. 399. | ||
| 100 | 
| Sales tax = 10% of Rs. (6650 – 399) = Rs. | 10 | x 6251 | = Rs. 625.10 | ||
| 100 | 
Final amount = Rs. (6251 + 625.10) = Rs. 6876.10
Video Explanation: https://youtu.be/XuiggCTh3SU
		A. Rs.420.20
B. Rs.319.06
C. Rs.306.04
D. Rs.294.75
Explanation:
A = 5000(51/50)3
    = 5306.04
       5000
    ———–
      306.04