Question
$\triangle PQR \sim \triangle PAB , m \angle P =60^{\circ}, PQ =6 cm, PR =4 cm$. Construct $\triangle PAB$, if $PQ : PA =3: 2$.

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Find four numbers in AP whose sum is $28$ and the sum of whose squares is $216$.
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50-70
70-90
90-110
110-130
130-150
150-180
Frequency
18
12
13
27
8
22
A box contains cards numbered 3, 5, 7, 9, ..., 35, 37. A card is drawn at random from the box. Find the probability that the number on the card is a prime number.
A man riding on a hicycle covers a distance of 60 km in a direction of wind and comes back to his original position in 8 hours. If the speed of the wind is 10 km/hr, find the speed of the bicycle.
An incomplete distribution is given below:
Variable
10-20
20-30
30-40
40-50
50-60
60-70
70-80
Frequency
12
30
-
65
-
25
18
You are given that the median value is 46 and the total number of items is 230.
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  2. Calculate the AM of the completed distribution.