CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

A and B woking seperately can do a piece of work in 6 and 9 days respectively ; they work on alternate days starting with A on the first day. In how many days will the work be done?    Ans :- 7 days

Approach plz..

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with these vertices is equilateral is:

(Guys... given answer is 1/10, but I got 3/10. Please try and suggest.)

  • 3/10
  • 4/10
  • 1/10
  • 1/5

0 voters

A series of natural number 1+2+3+4+5+6+7+8+9+10 is divisible by 11.  Find how many such series is possible upto n,  where n is less than 1000.

The number of toffees shared among A,B,C are in the ratio 2:3:4. they exchanged the toffees in different ways among themselves and finally the ratio of no of toffees with them was 5:8:23. if c got 35 more toffees through these exchanges, how many toffees does A have now?

Zada has to distribute 15 chocolates among 5 of her children Sana, Ada, Jiya, Amir and Farhan. She has to make sure that Sana gets at least 3 and at most 6 chocolates. In how many ways can this be done?

  • 435
  • 495
  • 77
  • 417

0 voters

Let A be the set of integers {1, 2, 2^2, 2^3, ......, 2^199, 2^200} and B be a subset of A such that the product of no two elements of B is 2^203. Find the maximum possible number of elements in B. 

Find the number of traiing zeros in the (7!)!

1. 20

2. 30

3..60

4. None of these?

Find the sum of the cubes of the first 10 odd natural numbers.  

Can't we replace 2n-1 in case of n in formula (n*(n+1))^2/4


Number of ways in which 5 chocolates(identical)  can be distributed among 3 childeren ??

Question:

Find the 15th term of the series obtained by finding the absolute differences between the ith terms of the sequences 1, 3, 6, 10, 15, 21, ... and 1, 5, 14, 30, 55, 91, ..., where i = 1, 2, 3 ...

How many arrangement can be made from the word COMMERCE, such that no two vowels come together ?

Solve

Solve :


In a carrom board game competition, m boys n girls (m>n>1) of a school participate in which every student has to play exactly one game with every other student. Out of the total games played, it was found that in 221 games one player was a boy and the other player was a girl. Consider the following statements:

1) The total number of students that participated in the competition is 30.

2) The number of games in which both players were girls is 78. Which of the statements given above is/are correct??

1) 1 only

2) 2 only

3) Both 1 and 2

4) Neither 1 nor .

(I know the answer but would like to understand the logic.)

Thanks in advance.

Explain

Can anyone explain this with figure please? Ans-3rd option

A RETAILER BOUGHT 3850 LINC PENS AND 1840 CELLO PENS AT THE SAME PRICE . HE SELLS LINC PENS IN SUCH A WAY THAT HE CAN BUY 650 LINC PENS WITH THE SALE PRICE OF 481 LINC PENS. AGAIN HE CAN BUY 408 CELLO PENS WITH SALE PRICE OF 629 PENS. WHAT IS THE OVERALL PROFIT%....????

Find the sum of the cubes of the first 10 odd natural numbers.  ?

There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a cricle so that there is exactly one person between the two sisters.

Please give reason for answer as well.

  • 19!
  • 2×19!
  • None of these
  • 18!

0 voters

Please answer q35:

48