From above given figure ,
Proceeding as in Q. No. 4, we can prove that AXCY is a parallelogram .
Similarly, BXDY is a parallelogram.
Now, AXCY is a parallelogram .
? AY || CX
[? Opposite sides of a parallelogram are parallel]
? PY || QX ?(1)
Also, BXDY is a parallelogram
? DX || BY [? Opposite sides of a parallelogram are parallel]
? PX || QY ?(2)
Thus, in a quadrilateral PXQY,
From (i) and (ii) ,
we have , PY || QX and PX || QY
? PXQY is a parallelogram.
1559.999 ÷ 24.001 + 11.005 x 6.999 = ?
? ? ? 1560 ÷ 24 + 11 x 7
= 65 + 77 = 142
Here 5 x 25 x 6301 x 394=310324250
Total decimal places = (2+3+5) = 10
? 5 x 0.25 x 6.301 x 0.00394 = 0.0310324250
In a game of 250 points, A scores 250 then B scores 200 points and C scores 180.
? B scores 250 points while C scores 180 x 250 / 200 = 225 points
Hence, in a game of 250 points B can give C (250 ? 225) = 25 points
prime numbers between 0 and 50 are 2 3 5 7 11 13 17 19 23 29 31 37 41 43 and 47
? required number of prime number is 15
By checking options
91-19=72
Or
Let the number be xy
So 10x + y = 10 ..... (i)
When the number is reversed the new number is yx
So (10y + 10 ) - ( 10x +y ) = 72 ....(ii)
From Eqs. (i) & (ii)
x = 1 and y =9
?number = 19
Total cost = Rs. 50,000
Total sale price (or revenue) = (2000 x 9) + (6000 x 10) = 78,000
Profit (%) = [ 28000 / 50000 ] x 100
= 56%
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