Average calculation

Formula :  .

Train Speed = Distance / Time.


Points to Remember .

To change km/hr into m/sec, we need to multiply it by 5 / 18. .

Example:.

90 km/hr means.

90 x 5 / 18.

= (5 x 5 ).

= 25 m/sec.

And if we need to convert m/sec into km/hr, we multiply it by 18 / 5.

Example:.

90 m/sec means.

90 x 18 / 5.

= ( 18 x 18 ).

= 324 km/hr.

Time taken by a train of length l meters to pass a pole or standing man or a signal post is equal to the time taken by the train to cover l meters.
Time taken by a train of length l meters to pass a stationary object of length b meters is the time taken by the train to cover (l + b) meters.
Suppose two trains or two objects bodies are mo...

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Important Maths Formulas .

(a ± b) 2 = a 2 ± 2ab + b 2 .


(a + b + c) 2 = a 2 + b 2 + c 2 + 2(ab + bc + ca).


(a + b + c + d) 2 = a 2 + b 2 + c 2 + d 2 + 2(ab + ac + ad + bc + bd + cd) .


Geometry formulas .

Perimeter ( ചുറ്റളവ് ) .


Perimeter of a square: P=4a.

    a: length of one side.


Perimeter of a rectangle: P=2(l+w).

    l: length.

    w: width.


Perimeter of a triangle: P=a+b+c.

    a, b, and c: lengths of the 3 sides.


Area ( വിസ്തീര്‍ണ്ണം ) .
LINE_FE...

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P - Principal, the sum of money lent or borrowed. .

R - Rate of interest: Annual interest, often expressed as a percentage. .

T - Time period for which the money is lent or borrowed. .


Simple Interest = Principal * Time * Rate of interest / 100 .

SI = 4000× 8% × 4 =  4000× 0.08 × 4.

= 1280. .


In compound interest , the principal amount with interest after the first time period becomes the part of principal for the next time period.


CI =   [P (1 + R/100)^T] – P .

Total amount = [P (1 + R/100)^T] .


If time period is half-yearly, .

    Amount = P[1 + (R/2)/100]^2T .

If time period is quarterly, .

    Amount = P[1 + (R/4)/100...

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