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In the given figure, AD = 13 cm, BC = 12 cm, AB = 3 cm and angle ACD = angle ABC = 90°. Find the length of DC.

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A bag contains ₹ 1,600 in the form of ₹10 and ₹20 notes. If the ratio between the numbers of ₹10 and ₹20 notes is 2 : 3; find the total number of notes in all.
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The ratio between the prices of a scooter and a refrigerator is 4 : 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator.
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A ladder, 6.5 m long, rests against a vertical wall. If the foot of the ladder is 2.5 m from the foot of the wall, find up to how much height does the ladder reach?
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Check whether the following quantities form a proportion or not?
3x, 7x, 24 and 56
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A boy first goes 5 m due north and then 12 m due east. Find the distance between the initial and the final position of the boy.
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Check whether the following quantities form a proportion or not?
0.8, 3, 2.4 and 9
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Use the information given in the figure to find the length AD.

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Check whether the following quantities form a proportion or not?
`1 1/2, 3 1/4, 4 1/2 "and" 9 3/4`
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Check whether the following quantities form a proportion or not?
0.4, 0.5, 2.9 and 3.5
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Check whether the following quantities form a proportion or not?
`2 1/2, 5 1/2, 3.0 "and" 6.0`
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Find the fourth proportional of 3, 12 and 4
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In the figure given below, draw the line (s) of symmetry, if possible:

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Find the fourth proportional of 5, 9 and 45
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Find the fourth proportional of 2.1, 1.5 and 8.4.
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In the figure given below, draw the line (s) of symmetry, if possible:

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Find the fourth proportional of `1/3, 2/5` and 8.4.
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In the figure given below, draw the line (s) of symmetry, if possible:

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In the figure given below, draw the line (s) of symmetry, if possible:

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Find the fourth proportional of 4 hours 40 minutes, 1 hour 10 minutes and 16 hours.
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