CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

a businessman purchased certain items worth rs. 1200 and after selling some items at the end of the first day made a profit of 16 % on items sold on that day. if his profit for the day was 4 % of his total purchases what is his stock at the end of the day

If x is a number of five-digits which when divided by 8,12,15, and 20 leaves respectively 5,9,12 and 17 as remainders,then find x such that it is the lowest such number?

  • none
  • 10137
  • 10097
  • 10057
  • 10017

0 voters

@ishu1991

 A shopkeeper sells pencils, erasers and sharpeners in three types of packs – Type 1, Type 2 and Type 3. Each pack of Type 1 contains three pencils, four erasers and six sharpeners. Each pack of Type 2 contains five pencils, two erasers and three sharpeners. Each pack of Type 3 contains four pencils, three erasers and five sharpeners. If a person wants to buy exactly 55 pencils, 50 erasers and 75 sharpeners, how many packs of Type 3 must he buy? 

 
find remainder when x^200-2*x^199+x^50-2*x^49+x^2+x+1 is divided by x^2-3x+2

Answer is 6x-5

Approach please?

 a dishonest shopkeeper increased 80% fixed price of his article and after that he gives 25% discount. if shopkeeper is taken 20% more quantity per kg by wholesaler and given 10% reduce per kg to customer. then what is net profit percent?   

 

  • Each of Alok, Bhadri and Challam were given a different six-digit number, in each of which the second digit from the left (i.e., the ten thousands digit) was replaced with the symbol x. Each of them was then told that the six-digit number given to him was divisible by a certain divisor d, and was asked to determine the value of x. While each of Alok and Bhadri came up with exactly three possible values for x, Challam came up with exactly four possible values. Which of the following could be a possible value of d?
  • 16
  • 30
  • 27
  • 20

@ishu1991  

 Everyday, Anil's driver takes the car from Anil's home at certain time, reaches his office exactly at 5 p.m., picks up Anil and drives him home, travelling at a constant speed throughout. One day, Anil left his office at 3 p.m. and started walking on the usual route towards his home. His driver picked him on the way and drove him home. Anil noted that he reached home 40 minutes earlier than his usual time. 


How long did Anil walk?

What anual instalment will discharge a debit of 1092 in 3 yrs at 12 percent per anum?

http://img.ctrlv.in/img/16/09/03/57cae98e25ebc.png

What is her name?

 

P and Q are two points 100 km apart. A starts running from P towards Q at 10 km/hr. B starts running from Q at exactly the same time and in the same direction as that of A at 20 km/hr. After an hour, B turns back and changes his speed to 10 km/hr. After another hour, B again turns back and changes his speed to 20 km/hr. He keeps on changing his speed and direction in this manner till the time he meets A. After how much time will A and B meet for the first time?

Ans is 20 hrs

There is a circular race-track of diameter 1 km. Two cars A and B are standing on the track diametrically opposite to each other. They are both facing in the clockwise direction. At t=0, both cars start moving at a constant acceleration of 0.1 m/s/s (initial velocity zero). Since both of them are moving at same speed and acceleration and clockwise direction, they will always remain diametrically opposite to each other throughout their motion. At the center of the race-track there is a bug. At t=0, the bug starts to fly towards car A. When it reaches car A, it turn around and starts moving towards car B. When it reaches B, it again turns back and starts moving towards car A. It keeps repeating the entire cycle. The speed of the bug is 1 m/s throughout. After 1 hour, all 3 bodies stop moving. What is the total distance traveled by the bug ? Okay, so here is a hint :- Now, let’s try to visualize the path of the bug. The question states that it will always be moving towards one of the cars. But the cars themselves are moving. So, bug’s path would not be a straight line. It would be a complicated spiral like path. Plus, the cars are not moving at constant velocity. They are accelerating, this will further complicate the spiral path. So, the approach is clear. We need to find mathematical equation corresponding to bug’s path for one cycle. Then we can simply calculate the distance from this equation and a little integral calculus. Then multiply the answer with the number of cycles. Plzzz solutn and approach... I solved it half bt little bit confuse....

http://imgur.com/a/4zqi2

How many integer roots does the quadratic equation x2+5x+p2=0 have ?

1)4

2)2

3)6

4)3

Approach?

A and B start swimming simultaneously from two points P and Q respectively, on a river towards each other. A crosses a floating cork at a point S and B crosses the floating cork at a point T which is at a distance of 8 km from point S. A and B cross each other at a distance of 2 km from T. It is given that the direction of flow of the river is from P to Q and in still water, the ratio of speeds of A and B is 3 : 1. P, S, T and Q ( in that order) are on the same straight line and assume that A, B and the floating cork move along that line.
Find the ratio of the upstream speed of A to the downstream speed of B.


Shortest approach?

Two trains begin to enter a tunnel simulatenously at opposite ends on parallel tracks.While train  A takes 10sec to completel enter the tunnel, trian B takes only 5 sec for the same. The distance between the points where the engine cfross each  other, to the point where the last compartment cross each other is 300/7m.Train B is 4/3 times as fast as train A. What is the lenght of train A.


  • 50m
  • 150m
  • 200m
  • Cannot be determined.

0 voters

32^32^32 divided by 9 will leave a remainder.Please post the approach

n is a no.such that 2n has 28 factors and 3n has 30 factors.6n has hoq many factors


nine dots are placed on paper. Find the maximum number of right angled triangle, by joining three dots. a.18 b.36 c.44 d.48

 

Remainder when 2^2 + 22^2 + 222^2 + 22......49 twos^2 is divided by 9.


1+3+6+10+15+... sum of first 20 terms?