SNAP 2014

Instructions

For the following questions answer them individually

Question 1

How many different letter arrangements can be made from the letter of the word EXTRA in such a way that the vowels are always together?

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Question 2

The radius of the incircle in the given diagram will be

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Question 3

If $$\tan \theta + \sin \theta = m$$ and $$\tan \theta - \sin \theta = n$$, then the value of $$m^2 - n^2$$ is equal to

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Question 4

If A and B are two mutually exclusive and exhaustive events with $$P(B) = 3P(A)$$, then what is the value of $$P(\overline{B})$$?

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Question 5

A and B entered into a partnership investing `16,000 and `12,000 respectively. After 3 months, A withdrew `5000 while B invested `5000 more. After 3 more months, C joins the business with a capital of `21,000. The share of B exceeds that of C, out of a total profit of
`26,400 after one after by:

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Question 6

An aeroplane takes off 30 minutes later than the scheduled time and in order to reach its destination 1500 km away in time, it has to increase its speed by 250 km/h from its usual speed. Find its usual speed.

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Question 7

What smallest number should be added to 4456 so that the sum is completely divisible by 6?

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Question 8

If two tangents inclined at an angle $$60^\circ$$ are drawn to a circle of radius 3 cm, then length of each tangent is equal to

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Question 9

Find the value of $$\log_{3^2}{5^4} \times \log_{5^2}{3^4}$$

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Question 10

Find the value of 1% of 1% of 25% of 1000 is

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