CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

A contract is to be completed in 50 days and 105

men were set to work, each working 8 hours a

day. After 25 days, 2/5th of the work is finished.

How many additional men be employed so that

the work may be completed on time, each man

now working 9 hours a day?

(a) 34 (b) 36

(c) 35 (d) 37

Can someone explain the concept of CAGR?I came across a problem where I saw its said that a Cagr of 10% means an increase of 33.1%...but how?

There are 3 drawers and 5 distinct books. In how many ways can you put the 5 books in 3 drawers so that there is atleast 1 book in each drawer? Can someone please give the approach. TIA

The mean of the numbers a, b, 8, 5, 10 is 6 and the

variance is 6.80. Then which one of the following

gives possible values of a and b?

(a) a = 0, b = 7 (b) a = 5, b = 2

(c) a = 3, b = 4 (d) a = 2, b = 4

A B C Starr from the same place and travel in the same direction at speeds 30 40 60 km/hr. B starts 2 hours after A. If B and C overtake A at the same instant, how many hours after A did C start? Approach please!

Solution for ques 4. please give the solu..as i want to know how to solve this without options.

How to solve this kind of problems?

number of solutions of 6 x^2 +5x-6-e^x=0

What is the coefficient of x^2 in the expression (1+x)(1+2x)(1+3x)(1+4x).....(1+nx)?

A overtakes B and C at 8am and 9am respectively. A meets D coming from the opposite direction at 10am. B and C meet D at 12 noon and 2pm respectively. When did B overtake C.

 pls help me with this
when finding annual installments using simple interest..for ex... p is the principal and 10 is the rate of interest... let there be 3 annual installments and value of each installment be x    then.....
p = x/1.1  +  x/1.2    +  x/1.3   ?
1.3p =  x*1.2  + x*1.1   +   x    ?
which one is true? 

 In a race of 1 km, Abdul beats Bilal by 25 seconds, who beats Faheed by 75 seconds. If Bilal and Faheed run an 800 m race, then Bilal would beat Faheed by 300 metres. Find the time taken by Abdul to run a 800 m race 

please explain with the help of diagram


Rohan has a certain number of sweets (less than 10k).  He is left with one sweet if he divides them equally among  12 or 16 or 18 children.  If her divides them equally among 17 children, he has no sweets left.  Find the number of possibilities of the sweets 

Soln 

The equation boils down to 

144x+1 must be divisible by 17.

I was able to find out the first number to be 288+1 = 289.  How do I go about in  finding the other possibilitie? 

Let g(x) be a function such that g(x + 1) + g(x – 1) = g(x) for every real x. Then for what value of p is the relation g(x + p) = g(x) necessarily true for every real x?


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I am trying to apply for FMS and MDI, but facing problems in both.

In FMS after clicking submit button after attaching all the images in .jpg format exception page is appearing. This has happened minimum 20 times. Please help.


While in MDI the page is taking too much time to load/open. Please advise

Four dice are thrown simultaneously, in how many different ways the sum of the outcomes is 14. I got 138 by taking cases. I might be wrong. Is there an easy method to ensure that the different permutations are counted only once. Because depending on how many of the variables in a+b+c+d = 15 are equal the number of permutations keeps changing.

In how many different ways can we distribute 15 identical balls in 3 identical boxes

number of zeros in 60 factorial when converted to base 12

Solution for:


Sultan Singh marked up the  price per kg of black gram by 20% . He then adulterated 40kg of black gram with black stones and then sold entire quantity at 11.11% discount. He eventually earned profit of 8%. what was quantity of black stones added? 


0.5kg

1kg

1.5kg 

2kg

A medical clinic tests blood for certain disease from which approximately one person in a hundred suffers. People come to the clinic in group of 50. The operator of the clinic wonders whether he can increase the efficiency of the testing procedure by conducting pooled tests. In the pooled test, the operator would pool the 50 blood samples and test them altogether. If the pooled test was negative, he could pronounce the whole group healthy. If not, he could then test each person’s blood individually. The expected number of tests the operator will have to perform if he pools the blood samples are: