CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

 

Two brothers A and B are stationed at a point P on a very long road PQ. They start playing a game with a die. The die is in form of a cube with integers 1 to 6 written on its six faces with one number on each face. Each one of them throws the die alternately and moves forward (towards point Q) by the number of steps equal to the number that appears on the top face of the die, if this number is greater than the number appeared in the previous throw by the same brother. If the number appearing on the top face of the die in a particular throw by a brother is less than the number appearing on the top face of the die in the previous throw by him, then that brother moves (6 –number appearing on the top face of the die) steps backwards towards point P. If the number appearing on the top face of the die in a particular throw by a brother is same as that in the previous throw by him, then the throw is not considered and he throws the die again till a different number appears on the top face of the die. If after a throw, someone needs to take certain number of backward steps which prompts him to go even behind P, that throw is considered as cancelled. In this case he has to throw the die again. In their first throw, these brothers move forward (towards Q) by the number of steps equal to the number that appears on the top face of the die (as they do not have any previous score to compare it with). Length of steps of these brothers is always same and constant. Round ‘n’ comprises nth throw of both the brothers.

Q. 5.

In a particular throw by B, the number that appeared on the top face of the die was 1 and after that throw B was 14 steps ahead of A. Find the minimum possible number of throws required such that the distance between the two brothers becomes zero. A had got 1 on the top face of the die in his last throw.

A train Left from station P to Q. 2 hours later, another train leaves from P to Q. Both trains reach station Q at the same time. However, if first train left P for Q and the other Q for P and travel towards each other, they would meet in 1 hour 20 minutes. Find the time taken by train 1 to travel from P to Q.

Q7. 11, any other solution or explanation of this solution?

What will be last two digits of the expression  - (2467) ^ 63

If x,y,z and p are natural numbers such that x^p+y^p=z^p, then which of the following is true?


A) p is always less than or equal to the minimum of x,y,z

B) p is always greater than or equal to the maximum of x,y,z 

C) p is always greater than the minimum of x,y,z and less than the maximum of x,y,z 

D) Either A) or B)


Please explain with solution

16?

 

Do Games&tournaments questions carry weightage in CAT ? Can the topic be skipped ?  Could anyone please help me with list of important DILR topics for CAT. thanks in advance

Q22 pls

Hello Friends 

You refer a simple short video for multiplying two numbers to save time while solving questions 


https://youtu.be/yT_nebnAQeI

Que3 please with sol

Guys it is prudent enough to take mocks in Oct/Nov and then prepare exclusively accordingly?

 Hi guys, I have a doubt
when a natural number is divided by 3d, the remainder is 14. When the same number is divided by 2d, the remainder is 9. What is the remainder when it is divided by d?
Correct ans is 4.. 
but can someone explain the solution 

solution plz

A cloth merchant sells cloth at a mark up of 10% for every meter of cloth and also uses a meter scale that measures 90 cm for every meter. what will be his profit in summer if the scale expands 10%? 

cost of 3 pens = cost of 2 pencils. Cost of 3 pencils -= cost of 2 erasers. cost of 3 erasers= cost of 2 pens . if the pen costs $ 108 , what is the cost of a box of ten pencils?

Q43

In how many ways 30 can be written as difference of sqaure of two numbers ?


For solution you can refer 

https://www.youtube.com/watch?v=sfbFaxl8-oY

Please solve 7, 12, 19, 20 and 23

 From one of the walls of a square room of side lenCangth 1 unit, Maradona kicks a frictionless, perfectly elastic ball which bounces of the three other walls once each and returns to him. What is the distance traveled by the ball?


Can u plz explain?
 

Solve