CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

Guys, I forgot to send my IIFT printout with NC OBC certificate via post.. it's been 12 days I registered and they asked to send withing 10 days. What are my options? Can I send now? 

Soln.

very bad at calculation?? what should I do?

How to improve geometry section of the quant paper?

How to stop making silly mistakes in the quant paper?

How toimprove speed in Quant section? I am not able to solve more than 15 questions if I read all questions and try to solve selectively. What could be going wrong for me? Any suggestions.


Out of 210 accidents that occurred on the DND Flyway, 50 resulted in Head Injury, 105 in Chest Injury and 56 in Limb Injury. 32 suffered both Head and Chest Injury, 30 suffered both Head and Limb Injury and 45 suffered both Limb and Chest Injuries.  Find the minimum number of people having atleast one injury 

Approach for this question pls

if A,B cannot be equal to 0 simultaneously, then how many real solutions does (A^2)/x + (B^2)/(x-1)=1 have? Ans is 1 or 2. But i think it should be 2. Can someone explain?

solve

How many natural no. are factors of 7560 and multiples of 14? Any short trick to calculate plz help

  An equilateral triangle is inscribed in a circle. The equilateral triangle’s incircle circumscribes a square. A circle is inscribed in the square which circumscribes another equilateral triangle. What is the ratio of the areas of the 2 triangles?  

8:1

16:1

4:1

48:1

  PQR is an isosceles triangle such that PQ = PR. A perpendicular PS is drawn from P on QR such that S is on QR. QD is drawn such that point D is on PR. QD intersects PS at E. From point D, DC is drawn perpendicular to PS such that C is on PS. If PS = 9 cm and PC = 5.5 cm than CE = ?

  81/62 cm
 79/56 cm
 77/58 cm
 75/52 cm      

  Three friends Neel, Jill and Bill, play a two-player game among themselves. Neel and Jill have 750 ml of mango juice, and Bill has 1000 ml of Mango juice. Concentrations of Mango pulp in juice is different for all of them. In a game, the player having the higher percentage of Mango pulp should pour 250 ml of his Juice into the one having the lower percentage of Mango pulp. If later in any game the concentration of the two players is same the person whose height is more will pour 250 ml of his juice in the shorter player’s juice. The height of Jill> Bill>Neel. The 1st game is between Neel and Jill, 2nd is between Jill and Bill, 3rd is between Neel and Bill, 4th game is again between Neel and Jill and so on. Neel has Juice with 45% concentration, Jill has Juice with 65% concentration, and Bill had juice with 52% concentration. If a player has no more juice left than the game is continued between the remaining two players. After all the games are completed, Phil their common friend comes and drinks the juice with the highest concentration of Mango pulp. What is the concentration of that Juice?  51.1%
 52.4%
 53.8%
 54.3%  

  A bucket contains 20 litres of water. Amit goes and removes 20 percent of the water and adds 8 litres of pure milk. After some time, Sumit comes and removes 40 percent of the solution and adds 16 litres of orange juice. At the end, Rohit removes 30 percent of the solution . The ratio of water, milk and orange juice in the final mixture is a:b:c where a, b, c are integers. Find the minimum possible value of a+b+c.  ?

  Raghav has a set of 6 positive numbers. He observes that the first 4 numbers are in an A.P while the last 3 numbers are in a G.P. Also, he observes that the first term of the AP and the last term of the G.P. are the same. Further, he notices that the difference between the first and the third terms is the second smallest number that can be expressed as a perfect square of a perfect square number. What is the least possible sum of the 6 numbers?  


  Raghav has a set of 6 positive numbers. He observes that the first 4 numbers are in an A.P while the last 3 numbers are in a G.P. Also, he observes that the first term of the AP and the last term of the G.P. are the same. Further, he notices that the difference between the first and the third terms is the second smallest number that can be expressed as a perfect square of a perfect square number. What is the least possible sum of the 6 numbers?  

  A four digit natural number and it's square leave the same remainder, R, when divided by 10000. It is known that R is greater than 1000. What is the remainder when R is divided by 2017?   approach plz 


  A is the smallest even natural number such that it is

 a) 19% less than a natural number
b) 34% greater than another natural number.

 What is the remainder when A is divided by 17?     


  In a set of 5 distinct positive integers, 3, 5, 9, 15 and x, x < 20. For how many values of x will the mean of the set greater than or equal to the median of the set?