CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Suppose A is the first element of the set of 'n' consecutive natural numbers (n > 1) starting from A such that the sum of all the elements in


the set is 50. What is the sum of all the possible values of A?

If Ankit scored 90 percent marks in math(full marks 100) and 60 percent in science(full marks 200) , what is average percentage of marks has he scored ??

A shopkeeper has 100 kg of wheat flour which he sells in packets of 5 kg at

cost price. Every time after selling one packet, he adds an equal amount of

husk to the leftover flour. What percentage profit does the shopkeeper earn

on the packet sold to the 4th customer?


a) 15%

b)14.26%

c)16.67%

d)18%


Approach ??

Please someone solve.... Each face of a die is marked with a different no from 1 to 6. The numbers on the fcaes of die are marked in such a way that sum of the nos on any pair of opposite faces is 7. 2 such dies are thrown , assume that one can always see exactly 3 faces of each die.  


What is the total no of ways in which a specified number is visible on both the die..

http://imgur.com/a/ZFNX7


Here why we have calculated T10 for ques1 and T11 for ques 2? could somebody explain plz. TIA

in how many ways can 25 balls be selected from a bag containing 15 identical red balls ,20 identical blue balls and 25 identical green balls?

Need full TIME/CL notes including handouts given between the classes. 

Anybody having those and willing to donate in Hyderabad will be welcomed.

I did my coaching from TIME in 2015 and donated my notes but i need it again now for this year. 

 

If f(x) = |x|, and ℓ is y - 1 = 0, then find the number of points at which the graph of R(R(f(x), ℓ), ℓ)  touches the x-axis.


Method please? Answer=3

  In a circle of radius 1 with centre (0,0) and the point (P,Q) lying on the circle which of the following would hold true?
1 . P + Q > 1
2. P^3 + Q^3 > 1
3. P^4 + Q^4 > 1
4. P^6 + Q^6 > 1

If x^4 +(a+b)x^2 +ab=0 has exactly 2 real roots then which of the following is necessarily true?



please explain the approach? ps-i tried using descarte but dosnt give definite answer.

  • ab>0
  • (a+b)ab<0
  • ab<0
  • (a+b)ab>0

0 voters

Can any one explain the solution ?

 A flask had some milk in it. One third of the milk was taken out and replaced with water. Then one-third of the resultant mixture was again taken out and replaced with water. This procedure was repeated 6 times. The volume of mixture in the flask after 2nd time was 81 liters. Find the milk left in the flask after 6th time? 

When 6 letters are placed into the corresponding 6 addressed envelopes, the probability that exactly five letters are placed into the corresponding envelopes is

  • 0
  • 1

0 voters

A consignment of nuts and bolts contains 20 nuts and 10 bolts out of which 2 bolts n 5 nuts are defective. If a person takes out two items simultaneously(BOTH NUTS AND BOLTS ITEMS) at random, what is the probability that either both are nuts or both are non-defective.?

 P = 1^1 + 2^2 + 3^3 + 4^4 + 5^5 + 6^6 + 7^7 + 8^8 + 9^9 + 10^10 +…+ 50^50. What is the remainder when P is divided by 8? 

 ##t and w## 


30 soldiers can dig 10 trenches of size 8 × 3 × 3 ft in half a day working 8 hours per day. How many hours will 20 soldiers take to dig 18 trenches of size 6 × 2 × 2 ft working 10 hours per day? 

The approach please

 A math exam contained two percentage problems. Each problem was solved by 72% of the pupils and every pupil got at least one problem right. What is the least number of pupils in this class?


Please elaborate and explain the answer.

Solutions of x^2 - x +1 > 3/8 belong to : 


a. R

b. R - 0

c. R - 1

d. Imaginary