Self Studies

Quantitative Ap...

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  • Question 1
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    A person has a certain amount of money with which he can buy 60 shirts or 50 trousers. If he uses 10% of money to buy a cool drink and then buys 24 shirts, how many trousers can he buy with the rest of the money?

  • Question 2
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    A number when divided by 2622 gives a remainder 69. What is the remainder when the same number is divided by 4?

  • Question 3
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    Arjun gave 95 mock tests and the average score in this 95 mocks is a natural number. If Arjun gives another mock and gets a score of 384 to increase his average score by a whole number x, how many values of x are possible?

  • Question 4
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    100 balls are labelled with distinct numbers among 1 to 100 in a container. If Ramesh was told about this and asked to guess the probability of picking a prime numbered ball from the lot and Ramesh answers it wrong because he misheard  100 as 140 and calculates the probability accordingly. What is the difference between actual probability and the probability guessed by Ramesh ?

  • Question 5
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    If 20 men and 10 women can do a piece of work in 10 days and 12 men and 16 women also can do the same work in 10 days. In how many days can 25 women complete the entire work?

  • Question 6
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    How many 8-letter words can be formed using the the letters in the word TRUTHFUL?

  • Question 7
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    An inlet pipe can fill an empty tank in 15 minutes. An outlet pipe can empty the same tank in 36 minutes. Both the pipes are opened into a tank which is initially empty. After 10 minutes another outlet pipe having same efficiency is added to the tank. After how many minutes will the tank be full?

  • Question 8
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    The central park of the city is 30 metres long and 40 metres wide. The mayor wants to construct two roads of equal width in the park such that the roads intersect each other at right angles and each road is parallel to at least one side of the park. Further, the mayor wants that the area of the two roads to be equal to the remaining area of the park. What should be the width(in meters) of the roads?

  • Question 9
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    Delhi is 660 kilometers to the north of Jaipur. If Aditi leaves from Delhi and Abhish leaves from Jaipur and they travel towards each other, they will meet in 5 hours. However, if both of them decide to head north from their respective cities it will take them 55 hours to meet. If Abhish decides to travel from Jaipur to Delhi how long will he take?

  • Question 10
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    4 chords AB,BC,CD and DA are drawn inside a circle such that the lengths of the chords are 14cm, 17cm, 18cm and 23cm respectively. What is the area of the quadrilateral so formed?

  • Question 11
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    A person travelled by bus at 30 kmph. He then travelled by bike at 40 kmph. The entire distance covered by the person was 250 km and the duration of the journey was 8 hours. Find the distance travelled by the person by bike.

  • Question 12
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    Given below is a circle of radius 12 cm with center O. A tangent from a point A is drawn on to the circle. It is known that the length of the tangent is equal to the radius of the circle. What is the area of the shaded region?

  • Question 13
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    A manufacturer sells a TV to a wholesaler at a profit of $$10$$%. The wholesaler sells the TV at a profit of $$20$$% to a Retailer, and the Retailer then sells it to the customer at a markup of $$25$$%. If the customer buys the TV at Rs.$$66330$$, what is the cost required for manufacturing the TV?

  • Question 14
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    In the following figure, ABC is an equilateral triangle. BF and BG trisect angle B, CD and CE trisect angle C and AJ bisects angle A. If O is the incentre of ABC, what is the absolute difference between the angles $$\angle\ AOC\ and\ \angle\ BFG$$.

  • Question 15
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    The price of a pen increases by 500% every year. If a pen costs Rs. 10 today, what will its price be two years from now?

  • Question 16
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    Find the number of terms of the series $$\frac{-3}{2}+3-6+12+...$$ must be taken to make the sum numerically equal to -1024.5 ?

  • Question 17
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    A man invests an amount of $$P_1$$ in bank 1 and $$P_2$$ in bank 2 for a period of 2 years. The interest offered by 1 is simple and that by 2 is compound[compounded anually]. The rate is the same in the banks and is equal to 20% per annum. If the amount he receives at the end of the duration from both the banks is the same, and the total amount that he had invested was 71 million, what is $$P_1$$ [in millions]?

  • Question 18
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    If $$\frac{\log_{1/3} a}{x-y} = \frac{\log_{1/3} b}{y-z} = \frac{\log_{1/3} c}{z-x}$$, then the value of $$a^z * b^x * c^y$$ is

  • Question 19
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    A series of 7 experiments is being conducted to measure the density of a liquid. The density of the liquid is the average of the values obtained in the 7 experiments. This value is obtained as 131.5/7. The average obtained in the first three experiments is 18.5. The value obtained in the 4th experiment is 1 greater than that obtained in the 5th. The average of the 6th and 7th experiments is 2.5 more than the average of the first three. What is the density of the liquid obtained in the 4th experiment?

  • Question 20
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    If a,b and c are positive real numbers such that a+b+c=1, what is the minimum value of $$(\frac{1}{a}-1)(\frac{1}{b}-1)(\frac{1}{c}-1)$$?

  • Question 21
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    In the olden days, there used to be 1 paisa, 4 paise and 16 paise coins. In how many ways could one pay the exact change for 75 paise?

  • Question 22
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    Let A and B be the roots of a quadratic equation $$x^2-ax+c$$ = 0. Let X and Y be the roots of the quadratic equation $$x^2-ax+c+3$$ = 0. Find the absolute value of the difference between X and Y if the absolute value of the difference between A and X is 1 and B and Y is also 1.

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