SSC CGL Tier-2 12th September 2019 Maths

Instructions

For the following questions answer them individually

Question 31

The speed ofa boat in still water is 18 km/h and the speed of the current is 6 km/h. In how much time (in hours) will the boat travel a distance of 90 km upstream and the same distance downstream?

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Question 32

The HCF of two numbers is 21 and their LCM is 221 times the HCF. If one of the numbers lies between 200 and 300, then the sum ofthe digits of the other number is:

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Question 33

$$\triangle ABC$$ and $$\triangle DBC$$ are on the same BC but on opposite sides of it. AD and BC intersect each other at O.If AO = a cm, DO = b cm and the area of $$\triangle ABC = x cm^2$$, then what is the area(in $$cm^2$$) of $$\triangle DBC$$ 

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Question 34

The value of $$tan^2 \phi+cot^2 \phi-sec^2 \phi cosec^2 \phi$$ is equal to

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Question 35

The point of intersection of the graphs of the equations 3x — 5y = 19 and 3y —7x + 1 =0 is P$$\left(\alpha,\beta\right)$$ . Whatis the value of $$ \left(3\alpha -\beta \right)$$ ?

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Question 36

$$\left(\sec\phi-\tan\phi\right)^2\left(1+\sin\phi\right)^2\div sin^2 \phi$$ = ?

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Question 37

By selling two articles for ₹800, a person gains the cost price of three articles. The profit percent is:

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Question 38

What is the compound interest on a sum of ₹7200 for $$2\frac{2}{5}$$ years at 20% p.a., interest compounded yearly (nearest to an integer)?

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Question 39

The value of $$\frac{(0.545)(0.081)(0.51)(5.2)}{\left(0.324\right)^3+\left(0.221\right)^3-\left(0.545\right)^3}$$ is:

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Question 40

The base of a right pyramid is an equilateral triangle with side 8 cm, andthe height of the pyramid is $$24\sqrt{3}$$ cm. The volume (in $$cm^3$$) of the pyramid is:

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