Self Studies

Quantitative Ap...

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  • Question 1
    3 / -1

    A tank had n litres of water. A person draws out n% of water from it. A few hours later, he draws out n% of the remaining water in the tank. Later, another person draws out (9n2/1000) litres of water from the tank. Which of the following can be the possible amount of water that was in the tank initially?

  • Question 2
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    A vendor sells a shirt at p% discount to Anuj. He sells the same shirt to Ankit at q% discount. He marks up the price of the third shirt by pq% but sells it at 10% discount to Animesh. If he suffers an overall loss of 0.333%, then what cannot be the possible value of p?

  • Question 3
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    A child consumed an ice cream of inverted right-circular conical shape from the top and left only 12.5% of the cone for her mother. If the height of the ice cream-cone was 8 cm, what was the height of the remaining ice cream-cone?

  • Question 4
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  • Question 5
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    A saint has a magic pot. He puts one gold ball of radius 1 mm daily inside it for 10 days. If the weight of the first ball is 1 gm and if the radius of a ball inside the pot doubles every day, how much gold has the saint made using his magic pot?

  • Question 6
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     If x and y are natural numbers, which satisfy the relation, log2(x-7) =2log4(5-y), then find the maximum value of log4 x - log 

  • Question 7
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    If p is the root of equation mx2 + nx + q = 0, q is the root of the equation mx2 + nx + p = 0 and p ≠ q, then find the equation whose roots are p and q.

  • Question 8
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    Two inlet pipes A and B together can fill a tank in 7.5 min while with the help of an outlet pipe, tank can be filled in 15 min. If efficiency of pipe A is at least twice as that of pipe B, then which of the following cannot be the time taken by pipe A and outlet pipe together to fill the tank? [Time taken (in min) by A is an integer.]

  • Question 9
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    A bag contains 4 red balls, 6 blue balls, and 5 green balls. Ashish picks 2 balls at random without replacement such that the probability that he claims both the balls are of the same color is (97/280). If it is known that Ashish does not always speak the truth, then find the probability of Ashish telling the truth.

  • Question 10
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    A = (x + 2)% of C and B = (x - 2)% of C. If A2 - B2 < (A + B)2 < A2 + B2, then how many integer values 'x' can take?

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