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  • Question 1
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    If HCF (p, q, r) = 2, LCM (p, q, r) = 120, HCF (p, q) = 4, HCF (q, r) = 2, HCF (p, r) = 2, p = 12, q = 8 then find the no ‘r’.

  • Question 2
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    An aeroplane at an altitude of 1200 meters finds that two ships are sailing towards it in the same direction. The angle of depression of the ships as observed from the aeroplane are 60° and 30° respectively. Find the distance between the two ships.

  • Question 3
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    If \(\tan 2 \theta=\cot \left(\theta+6^{\circ}\right),\) where \(2 \theta\) and \(\theta+6^{\circ}\) are acute angles, find the value of \(\theta\)

  • Question 4
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    A well with 10m inside diameter is dug 14m deep. Earth taken out of it is spread all a round to a width of 5m to form an embankment. Find the height of embankment.

  • Question 5
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    Consider the functionf(x)=tankxx,x<03x+2k2,x≥0what is the non-zero value of k for which thefunction is continuous at \(x=0 ?\)

  • Question 6
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    The ratio of the sums of \(\mathrm{m} \& \mathrm{n}\) terms of an \(\mathrm{A}\). \(\mathrm{P}\) is \(\mathrm{m}^{2}: \mathrm{n}^{2}\). The ratio of the \(\mathrm{m}^{\text {th }} \& \mathrm{n}^{\text {th }}\) terms is?

  • Question 7
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    4 chairs & 3 tables cost Rs. 2100 and 5 chairs and 2 tables cost Rs. 1750. Find the cost of a chair & a table separately.

  • Question 8
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    A sum of money amounts to Rs. 4818 after 3 years and Rs. 7227 after 6 years on compound interest.The sum is

  • Question 9
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    Find the value of(1+x)1+x21+x41+x8(1-x)?

  • Question 10
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    The solution of the equation \(\log \left(\frac{d y}{d x}\right)=a x+b y\) is

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