CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

In a right angled triangle ABC right angled at B, AB= 1 , BC= 2. D is a point on AC such that BD= AB and E is the foot of the perpendicular from D on BC. Find the area of triangle BDE is what fraction of area of triangle ABC Post approach also/ detailed explanation

?

How many numbers with different digits each greater than 2000 can be formed from the digits 0,2 3,4,5 ? 

Q17

Plz can one explain me the approach

A class has 60 students and the average marks of the class is 60. The top 20% students' avg is 86 and bottom 20% students' avg is 19. Then the score of the student who got 48th rank in the class is at most __________

Please explain the approach to solve the last part of this example question. Couldn't understand the provided solution.

In a rectangle ABCD, the perpendicular bisector of AC divided the longer side AB in a ratio 2:1. Then angle between AC and BD?

  • 60
  • 90
  • 30
  • 45

0 voters

The room has a floor that measures 15 feet by 21 feet, tiled with 315 one-foot square tiles. If a person draws both diagnols on the floor of the room, how many tiles are drawn on?note: if a line passes through the vertex shader by four times, two of the tiles are drawn on and two are not

IIFT on 27th Nov, does that hint at an early CAT this year?? May be on October?? Well I ain't ready yet...  :| 

The tournaments in country XYZ are conducted at four different levels : level 1, level 2, level 3 and level 4, which have 16, 32, 64 and 128 teams respectively. Each of these tournaments are played on a knock out basis, where in each round of the tournament the teams which are still left plays exactly one match and then moves on to the next round, only if they win that match. The team which wins all the matches of a tournament is the winner of that tournament. Four tournaments, each at a different level were conducted in XYZ last year.



A team had a total of 15 wins and 3 loses in all the tournaments last year, then what is the maximum possible number of titles that it could have won?

a)0

b)1

c)2

d)3

OA: b

Post your approach. 

Easy way to do it ..??

Find the least natural no.which when successively divided by 5,6 and 7,leaves respective remainders of 3,4 and 5. Help me with the approach.

There are three friends - A,B and C.

A has a motorcycle(which can carry only two people at a time) and B and C can either ride with him or walk.A's motorcycle travels at a speed of 45kmph while B and C walk at a steady 5 kmph.

One day the three friends decide to go to kashipur, 135 km away for a picnic. What is the earliest time they all can reach their destination, if they set out at 9 am ?

oa- 4p.m

please explain properly peeps !!

Hey Puys !

If you can help me with this.

"The largest power of 2 in 32!+33!+34!....+90! is Β ?"

Thanks in advance.

ο»ΏLet PQRS be a quadrilateral. Two circles O1 and O2 are inscribed in triangles PQR and PSR respectively. Circle O1 touches PR at M and circle O2 touches PR at N. Find the length of MN.Β 

I. A circle is inscribed in the quadrilateral PQRS.
II. The radii of the circles O1 and O2 are 5 and 6 units respectively.

  • Neither Statement I nor Statement II is necessary to answer the question.
  • Statement II alone is sufficient to answer the question.
  • Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.
  • Either Statement I or Statement II alone is sufficient to answer the question.
  • Statement I alone is sufficient to answer the question.

0 voters

A sequence 'S' is formed from the set of first 'N' natural numbers by deleting all the perfect squares and all the perfect cubes. If the elements are arranged in an ascending order then, what is the 240th term of the sequence 'S'?

What is the remainder when 13^66 - 23 is divided by 183?

There are 4 nos. in a sequence, not all of which are equal. The first and the last nos. are equal . The first 3 nos. are in GP. The last 3 nos. are in AP. Find the ratio of the first term of the sequence and the excess of the fourth term over the third term.
The mean of the sequence 3,8,17,30..1227 is ?