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Q1 of 39 Page 1

Two positive integers a and b can be written as a = x3y2 and b = xy3. x, y are prime numbers. Find Lcm(a,b).

Given,


a = x3y2 and b = xy3


a = x3y2


⇒ a = x × x × x × y × y


And


b = x × y × y × y


So, LCM of a and b will be x3y3.


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24

The first term of an AP is 3, the last term is 83 and the sum of all its terms is 903. Find the numbers of terms and the common difference of the AP.

25

Construct a triangle ABC with side BC = 6 cm, ∠ B = 45° , ∠ A = 105°. Then construct another triangle whose sides are times the corresponding sides of the Δ ABC.

7

Find how many two-digit numbers are divisible by 7?

OR


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13

Find all the zeroes of the polynomial 3x3 + 10x2 – 9x – 4 if one of its zero is 1.

Questions · 39
All India - 2019
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