1904 x 1904 = ?
1904 x 1904 = ?
[A].
[B].
[C].
[D].
Answer: Option C
Explanation:
| 1904 x 1904 | = (1904)2 | 
| = (1900 + 4)2 | |
| = (1900)2 + (4)2 + (2 x 1900 x 4) | |
| = 3610000 + 16 + 15200. | |
| = 3625216. | 
[B].
[C].
[D].
Answer: Option C
Explanation:
Let C’s share = Rs. x
| Then, B’s share = Rs. | x | , A’s share = Rs. | 2 | x | x | = Rs. | x | ||
| 4 | 3 | 4 | 6 | 
| x | + | x | + x = 1360 | |
| 6 | 4 | 
| 17x | = 1360 | |
| 12 | 
| x = | 1360 x 12 | = Rs. 960 | 
| 17 | 
| Hence, B’s share = Rs. | 960 | = Rs. 240. | ||
| 4 | 
[B].
[C].
| 20 | 3 | days | 
| 17 | 
[D].
Answer: Option B
Explanation:
Ratio of times taken by A and B = 100 : 130 = 10 : 13.
Suppose B takes x days to do the work.
| Then, 10 : 13 :: 23 : x x = | 23 x 13 | x = | 299 | . | ||
| 10 | 10 | 
| A’s 1 day’s work = | 1 | ; | 
| 23 | 
| B’s 1 day’s work = | 10 | . | 
| 299 | 
| (A + B)’s 1 day’s work = | 1 | + | 10 | = | 23 | = | 1 | . | ||
| 23 | 299 | 299 | 13 | 
Therefore, A and B together can complete the work in 13 days.
[B].
[C].
[D].
Answer: Option C
Explanation:
A : B = 100 : 75
B : C = 100 : 96.
| A : C = | A | x | B | = | 100 | x | 100 | = | 100 | = 100 : 72. | ||||
| B | C | 75 | 96 | 72 | 
A beats C by (100 – 72) m = 28 m.
		A. Rs.1261
B. Rs.1440
C. Rs.1185
D. Rs.1346
Explanation:
A = 8000(21/20)3
= 9261
= 8000
———
1261
[B].
[C].
[D].
Answer: Option C
Explanation:
Unit digit in 7105 = Unit digit in [ (74)26 x 7 ]
But, unit digit in (74)26 = 1
Unit digit in 7105 = (1 x 7) = 7
		A. 1 : 2
B. 3 : 1
C. 2 : 1
D. 1 : 3
Explanation:
Let the speed of the boat in still water be 4 km/hr and speed of the current be u km/hr.
Rate downstream = (u + v) km/hr.
Rate upstream = (u- v)km/hr
Let the distance covered in each case be x km.
Then 2x/(u + v) = x / (u – v)
=> 2 (u – v) = ( u + v)
=> u =3v
=> u/v =3/1