Self Studies

Quantitative Ap...

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  • Question 1
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    A ratio which is equal to $$(2 + \sqrt{2} ) : (5 + \sqrt{5} )$$ if the antecedent is 10.23, then find the approximate value of consequent ?

  • Question 2
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    Ravi has 2627 perks, 3752 munches, 4877 milk-treats and 6377 kit-kats. If he has to distribute them among some children such that number of chocolates left of each type are the same, then what is the maximum number of children he can distribute the chocolates to?

  • Question 3
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    A highly awaited movie was screened in three different versions: English, English 3D and Hindi in a multiplex. The ratio of number of tickets sold of each kind in a day is 3:5:2.The ticket price of the English version was 60% the cost of a English 3D ticket. The hindi movie ticket costed 20% less than the english movie ticket. If the total tickets sold for a day of the movie is 300, then which of the following is the possible total value of the english tickets sold ? It is known that the cost of every ticket is a positive integer. 

  • Question 4
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    Ramesh has 5 jigsaw pieces such that each piece fits exactly in one slot. He removes all the pieces, jumbles them and tries to put it back blindfolded. What is the probability that he puts at least two of them in the correct slot?

  • Question 5
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    There are two pieces of work to be done. A only works on the first piece of work and completes $$\dfrac{1}{x}$$ part of the work every day. B works on only the second piece of work and completes $$\dfrac{1}{y}$$ part of the work every day. C completes $$\dfrac{3}{x}$$ part of the first work and $$\dfrac{4}{y}$$ part of the second work everyday. After 4 days, it is found that the percentage of work remaining in both the pieces of work is the same; what percentage of $$x$$ is $$y$$?

  • Question 6
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    Find the sum of all the four digit numbers that can be formed using the digits 2,3,5 and 7 exactly once.

  • Question 7
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    Time taken by A to do a project is equal to the time taken by B and C together to complete the work. A and B together take 20 days to complete the work. C alone takes 60 days to complete the work. How many days will B alone take to complete the work?

  • Question 8
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    How many isosceles triangles of integral sides can be formed, such that the perimeter is 43?

  • Question 9
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    A ship travelling north crosses a certain point in the ocean at 1 PM on Monday. Another ship travelling west crosses the same point at 3 PM on the same day. If the speed of the ship travelling north is 150 nautical miles per hour and the speed of the ship travelling west is 100 nautical miles per hour, what is the distance between the two ships at 6 PM on Tuesday (round to the nearest 100)?

  • Question 10
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    In the figure given below, ABEDC is a regular pentagon and PQRS is a square. If the points C and Q are vertically above the points E and S respectively, then find the measure of $$\angle CTP$$.

  • Question 11
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    Ram and Shyam are walking up on a moving up escalator. The ratio of speeds of Ram and Shyam is 3 steps : 2 steps. Ram walked 25 steps to reach the top whereas Shyam walked only 20 steps to reach the top. How many steps are there on a stationary escalator?

  • Question 12
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    C is a circle represented on the x-y plane by the following equation $$x^2+y^2-14x-9y-41=0$$. S is another circle which is formed when the centre of circle C is shifted to (4, -3). How many of the following points lie inside circle S?

    (10,-11), (-5,-9), (15,-2), (-3,5), (5,7), (14,-6), (14,0), (-4,-10)

  • Question 13
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    A shopkeeper started selling teapots on Monday and listed them at a markup of 10% above their factory price. However, on Tuesday, owing to low demand, he decreases the previous day's price by 10%. The next day, seeing no change in his sales, he further decreases the previous day's price by 10%. However, worrying about making losses, he increases the previous day's price by 10% on Thursday, and the above cycle continues indefinitely. On which day will he suffer a loss of more than 20% per teapot for the first time?

  • Question 14
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    Consider a triangle XYZ of sides XY = 20 cm, XZ = 20 cm, YZ = 30 cm. What is the length of the altitude to the side XZ?

  • Question 15
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    The cost price of 6 apples is equal to that of 11 mangoes, and the selling price of 7 apples is equal to that of 12 mangoes. If the cost price of 11 apples is equal to the selling price of 9 mangoes, what is the approximate profit % in the transaction of 3 mangoes and 14 apples(round off to the nearest integer)?

  • Question 16
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    In a sequence of 10000 terms, each term except the first and last term is the sum of its two neighboring terms. If the sum of first two terms is 9, find the sum of first 2000 terms.

  • Question 17
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    Ram wants to invest his Rs. 20000 for three years. Which of the following schemes will earn him the maximum return?

  • Question 18
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    Find the sum of all the values of ‘a’ that satisfy the following equation:

    $$2^{\log_7 |a+9|} = \log_7 2401$$

  • Question 19
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    Solution A contains water and alcohol in ratio 3:4 and solution B contains water and alcohol in an unknown ratio a:b (a, b are co-primes). If A and B are mixed in the ratio 7:3 and in the final solution water and alcohol are equal, then find the value of a+b 

  • Question 20
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    Which of the following statements is true?

  • Question 21
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    Rahul saved Rs. 100, Rs. 500 and Rs. 1000 notes of value Rs. 27200 in his house. In the following year, he accumulated black money and doubled the number of Rs. 500 and Rs. 1000 notes to get a balance of Rs. 53700. One fine day, Rs. 500 and Rs. 1000 are demonitized and he is able to deposit only the Rs. 100 notes. How much will his bank balance be if he starts a new bank account?

  • Question 22
    3 / -1

    $$F(x) = ax^{2} +bx+c$$ is a quadratic equation one of the roots of which is 2 (a>0). If F(8)+12*F(1)=0, find the other root?

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