C.P of article

= 6800*100/25 = Rs. 27200

2Ï€r = 220
=> 2 * 22/7 * r = 220
=> r = (220*7)/(2*22) = 35 metre
Area of circle = Ï€r²
= 22/7 * 35 * 35
= 3850 sq.metre
∴ Area of rectangle
= 3850 sq.metre
∴ Length = 3850/50 = 77 metre

The word 'TROUBLE' consists of 7 distinct letters

∴ Required number of arrangements = 7!

= 7*6*5*4*3*2*1 

= 5040

8 women complete the work in 6 days.
Work done by 2 women in 8 days = ?
M₁D₁/W₁ = M₂D₂/W₂
=> (8 * 6)/1 = (2 * 8)/ W₂
=> W₂ = 2/6 = 1/3
∴ Remaining work
= 1- 1/3 = 2/3
∴ Work done by 10 children in 8 days = 2/3
∴ Time taken in completing the work = (8*3)/2
= 12 days

Circumference of circular field = (79.2 * 5/18 * 160) metre
= 3520 metre
∴ 2πr = 3520
=> 2 * 22/7 * r = 3520
=> r = (3520*7)/(2*22) = 560 metre
∴ Area of the field
= Ï€r² = 22/7 * 560 * 560
= 985600 sq.metre

8059 - 7263 = ? * 40

=> 796 = ? * 40

=> ? = 796/40 = 19.9

? = 3.5 * 80/2.5 = 112

? = 55/5.5 - 0.5 = 10 - 0.5 = 9.5

(25³)⁴ * (25)⁶ ÷ (25)¹ = 25^?
(25)^12+6-1 = 25^?
? = 17
[(a^m)ⁿ = a^mn
a^m * aⁿ = a^m+n
a^m ÷ aⁿ = a^m-n]

4 * ? = 4062/5 = 812.4

=> ? = 812.4/4 = 203.1