CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

(a, b), (b, c) and (c, a) are the roots of x2 – 2px + 3 = 0, x2 – 2qx + 5 = 0 and x2 – 2rx + 15 = 0 respectively, where a, b and c are positive real numbers. Find the value of p + q + r. (a) 6 (b) –9 (c) 9 (d) 18 Please post detailed solution

Solve this one.

Two cities X and Y lie on a straight line. Two men P and Q left simultaneously for Y and X respectively.P reaches Y and moves towards X. On reaching X, again he turns around and moves towards Y. This kind of movement continues indefinitely. Q also travels in a similar manner. The distance between X and Y is 1000m and the ratio of the speeds of P and Q is 3:2. Find the distance travelled by P when he meets Q for the 4th time ?

oa-4200m

In how many ways can 12 persons seat themselves at 3 diffrent round tables, 4 at each?

  • (12!×3!^3)/4!^3
  • 12!/(4!)^3
  • 12!
  • None

0 voters

On using Alligation i get final ratio as 5:3 but why the answer is a) ?

I am seven times as old as you were when i was as old as you are, said a man to his son. Find their present ages if sum if their ages is 110. Concept??

no. of zeroes immediately following the decimal point in (2/3)^432

log2=0.301 and log3=0.477

need to confirm the answer

it is 75 or 76 ?

If log a(base x) = log y (base y ),where a is a natural no. and both x and y are greater than a, then which of the following is necessarily true ?

1- x is always equal to y

2- x is never equal to y

3- x need not be equal to y 

oa- option 3

please give me an example which says x need not be equal to y.

Please tell me the approach

The number of ways of factorising 91,000 into two factors , m and n , such that m>1,n>1 and gcd (m,n)=1. ( Approach pls)

  • None
  • 15
  • 7
  • 32

0 voters

Four boys a, b, c, d and their respective girlfriend e, f, g and h are to be seated around a rectangular table with 4 chairs on 2 sides each such that no couple sit exactly facing each other. The boys want to be seated on the same side, how many seating arrangements are possible?

  • 288
  • 216
  • None
  • 432

0 voters

Gautam decided to go to a temple only on first and the last day of a year. He continues to go to the

temple in this fashion till the time he finds that he has visited the temple atleast once on each of the
different days of a week. The minimum number of days required to achieve this is
(1) 1255 (2) 1462 (3) 1463 (4) 1827 (5) 1826

Pls solve this.

http://imgur.com/a/QsSIP

could anybody please explain why we have calculated T10 in first example and T11 in second?

Question 15 approach plz

Two persons start from the opposite ends of a 90km straight track and run to and fro between the two ends. The speed of first is 30m/s and speed of other is 125/6m/s. They continue their motion for 10 hours. How many times they pass each other ?

Q17 approach pls

Approach plz

Which is prime?
A.2^70+1
B.2^96+1
C.2^160+1
D.None of these

Remainder when 77777..... 56 digits divided by 19??

plz explain approach.