CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

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Ajay and Sanjay start simultaneously from the same point on a circular track. If they travel in opposite directions, they meet at 7 distinct points on the track whereas if they travel in the same direction, then they meet at n distinct points on it where n is a prime number. If Ajay is faster than Sanjay and Sanjay's speed is P% less than that of Ajay, then which of the following can be a value of P? 

2nd question solution

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Can someone pls help with q20?

49th anyone?

Q from AIMCAT 1810: 4 straight lines divide circle in greatest number of possible regions. If 3 additional lines are drawn, what is greatest number of additional regions that can be formed in the circle. 

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Question 30 with solution

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The ratio of the marked price to the cost price of a mobile is 5 : 4. If the discount percentage offered before it was sold and the profit or loss percentage made on it were in the ratio 3 : 4, what is the profit or loss percentage?

I am writing my percentage as 94.52 but it is still showing error ? Can someone please help?

Two alloys of aluminium have different percentages of aluminium in them. The first one weighs 8kg and the second one weighs 16kg. One piece each of equal weight was cut off from both the alloys and the first piece was alloyed with the second alloy and the second piece alloyed with the first one. As a result, the percentage of aluminium became the same in the resulting two alloys. What was the weight of each cut-off piece? ( Please provide a detailed solution :) )

  • 4.67kg
  • 5.33kg
  • None of the above
  • 3.33 kg

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A man sells a bicycle at a gain of 10%. If he had bought it at 10% less and sold it for Rs 132 less, he would have still gained 10%. The cost price of the article is:

Two ants start from a point A on circular path of circumference 1100 m. Both ants can show two types ofmotion. First ant can travel at the speed of 2 meters a minute and then takes rest for 2 minutes, or it can cover 3 meters in 2 minutes and then takes rest for 1 minute. Whereas, second ant can travel at the speed of 2 meters in 2 minutes and takes rest for 1 minute or it can cover 2 meters in three minutes without any rest. If each ant wants to reach back to the starting point A in the least possible time, then how long will the first ant take to complete a full circle?

Of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least

 A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is 35 7/17. What was the number erased?