2017 SSC CGL 12 Aug Shift-3

Instructions

For the following questions answer them individually

2017 SSC CGL 12 Aug Shift-3 - Question 31


The average age of Ram and Rahim is 18 years. The average age of Rahim and Ramesh is 25 years. The average age of Ram and Ramesh is 29 years. What is the age (in years) of the eldest of the three?

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2017 SSC CGL 12 Aug Shift-3 - Question 32


Profit obtained on selling an article for Rs 540 is equal to the loss incurred on selling the article for Rs 370. If selling price is Rs. 910, then what is the profit percentage?

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2017 SSC CGL 12 Aug Shift-3 - Question 33


In an examination 65% students pass in history and 55% students pass in hindi. If 5% students failed in both the subjects, then what is the percentage of students who have passed in both the subjects?

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2017 SSC CGL 12 Aug Shift-3 - Question 34


Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?

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2017 SSC CGL 12 Aug Shift-3 - Question 35


A person invested a total sum of Rs 7900 in three different schemes of simple interest at 3%, 5% and 8% per annum. At the end of one year he got same interest in all three schemes. What is the money (in Rs) invested at 3%?

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2017 SSC CGL 12 Aug Shift-3 - Question 36


If $$x+(\frac{1}{x})=2$$, then what is the value of $$x^{21}+(\frac{1}{x^{1331}})$$ ?

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2017 SSC CGL 12 Aug Shift-3 - Question 37


If $$x^3 - y^3 = 81$$ and $$x - y = 3$$, then what is the value of $$x^2 + y^2$$ ?

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2017 SSC CGL 12 Aug Shift-3 - Question 38


If $$\sqrt{5x-6}+\sqrt{5x+6}=6$$, then what is the value of x ?

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2017 SSC CGL 12 Aug Shift-3 - Question 39


If $$2x+\frac{1}{2x}=2$$, then what is the value of $$\sqrt{2(\frac{1}{x})^4+(\frac{1}{x})^5}$$ ?

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2017 SSC CGL 12 Aug Shift-3 - Question 40


The side BC of ΔABC is produced to D. If ∠ACD = 114° and ∠ABC= (1/2)∠BAC, then what is the value (in degrees) of ∠BAC?

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