Official Quant thread for CAT 2013

A group of Euthopians were analysed on three qualities - health, wealth and wisdom. It was found that 139 people were either healthy or wise but not wealthy. 23 people were neither healthy, wealthy and wise. 208 people were wealthy.


1) What is the total number of people participated in the survey


?A)270 B)320 C)370 D)Cannot be determined


2) If 199 residents have at least two of the three qualities then how many residents have exactly one quality?


A)148 B)150 C)152 D)154


3) If 131 people are healthy, wealthy and wise, then how many people are only wealthy?


A)38 B)47 C)49 D)Cannot be determined


4) If 47 people are only wealthy than how many people are either healthy or wise?A)270 B)280 C)300 D)320


5) If 38 people are both healthy and wise but not wealthy and 33 people are only wise; how many people are only healthy?


A)68 B)65 C)63 D)62

The Government has instituted three new quality standards, viz. ISO 12001, ISO 12002, ISO 12003. Many companies are trying to achieve these standards. The following information is available for them:


(A) Let the tot al number of companies attempting to attain any standard(s) be N. Then N is 140 more than twice the number of companies which are attemptin g to attain more than one standard.


(B) The sum of the number of companies trying to achieve only one of either ISO 12001 or ISO 12003 is equal to the number of companies trying to achieve the ISO 12002 standard


.(C) There are 540 companies trying to achieve all 3 standards.


(D) 1260 companies are trying to attain ISO 12001 and ISO 12002 simultaneously.


There are 180 companies that are trying to achieve ISO 12002 and ISO 12003 simultaneously but are not considering ISO 12001. Similarly, 270 companies are going for ISO 12001 and ISO 12003 both, but are avoiding ISO 12002.


Directions for Question 3: Answer the following question based on the information givenabove


.3. What is the number of companies that are trying to attain only ISO 12002?


(1) 185 (2) 205(3) 195 (4) 255


Directions for Question 4:

Answer the following question based on the information givenabove.


4. What is the total number of companies that are trying to attain any standard(s)?(1) 3560 (2) 4005(3) 3750 (4) 2980

Directions for questions 1 and 2: 'Infitech' is a software company based in Bangaloreand it is assigning its software engineers to three different projects – Project Saksharta, Project Blue chip and Project Aadhar. The total strength of the engineers in the company is 400. Additionally, it is known that:

1. The number of engineers who are not in Project Aadhar is 40 more than those who are in the project.

2. 90 engineers are a part of both, Project Saksharta and Project Blue chip.

3. Of the engineers who are in Project Aadhar, 70 are not in Project Blue Chip.

4. The number of engineers in Project Saksharta only is exactly half of those in Project Blue chip only.

5. Of the engineers who are in Project Blue Chip, 120 engineers are in exactly one of the other two projects.

6. The number of engineers who are not in any of the three projects, is twice the ones in all the three projects.

7. The number of engineers in at least two of the three projects is 180.


1. How many engineers are not a part of any of the three projects?

1. 40 2. 60 3. 80 4. 100

2. How many engineers are a part of Project Blue chip?

1. 160 2. 200 3. 220 4. 260


In Spectras Academy, there are 200 students, 100 are learning Quant, 50 Verbal, 60 LR. 30 students are learning both Quant and Verbal, 35 students are learning both Verbal and LR, and 45 students are learning both Quant and LR.

21. What is the maximum number of students learning atleast one thing?

1. 100 2. 130 3. 60 4. 120

22. What is the maximum number of students learning everything?

1. 20 2. 15 3. 30 4. 40

3000 people went to an amphitheatre with an entry fee of Re.1 per head. The theatre hosts 3 types of shows: a play, a dance, a jugglers show and each show costs Re. 1 per head. 800 people saw all three shows, 1400 saw atleast 2 shows, and nobody saw the same show more than once. The amphitheatre collected Rs. 7200 from them.

19. How many people saw no shows at all?

1. 1200 2. 600 3. 1400 4. 1000

20. If each person saw the same show more than once, then how many persons saw no show at all?

1. 800 2. 1000 3. 1200 4. CBD

In a class there are 150 students.

n(play cricket) = 70

n(play soccer) = 80

n(play tennis) = 45

n(play cricket and soccer) = 50

n(play cricket and tennis) = 25

n(play tennis and soccer) = 30

What is the maximum and minimum number of students who

a) Play none of the games

b) Play all the three games

c) Play exactly two games

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

A. 10, B. 9, C. 12, D. 8


I dont have OA.. mention approach as well .. Thanks

x + y = 10 .

what is the minimum value of


mod ( x) + mod(y) ?


ABCD is a quadrilateral where its angles respectively are in the ratio of 1:2:3:4 . State which one is true

A) AB=CD

B ) Cyclic Quadrilateral

C) AB !! CD

D) AD !! BC

E) None

a rectangular swimming pool is 48m long and 20 m wide.the swallow edge of the pool is 1 m deep.for every 2.6m that one walks up the inclined base of the swimming pool,one gains an elevation of 1m.what is the volume (in cubic metres)of water in the swimming pool?assume the pool is filled upto the brim.

consider a rectangle ABCD of area 90 units.the points P and Q trisect AB ,and R bisects CD.the diagonal AC intersects the line segments PR and QR at M and N respectively.what is the area of the quadrilateral PQMN?

>9.5 and >10 and >10.5 and 11
>11 and >11.5

An isosceles triangle ABC is right angle at B. D is a point inside the triangle ABC. P and Q are te feet of the perpendiculars drawn from D on te sides AB and AC respectively of triangle ABC.

If AP= a cm,

AQ = b cm and

/_BAD = 15 degree

then value of sin 15 in terms of a, b??

The nth element of an arithmetic sequence is -3(n-1)-1. what is the average of the elements between 11 th and 200 th of it ?

In how many ways can 4couples be seated around a circular table such that people of the same gender do not sit in the adjacent positions and exactly one of the four couples sit in the adjacent position.


@shawshanks @MadhuPS
please explain
@harshcat91 @managerbhai sirs

main barbad ho gaya meri saari discoveries pehle se discovered nikli. 😠🍻🍻

From 0 to 10000 , how many of the natural numbers are there whose sum of digits less than or equal 7?

ABC is an isoscoles triangle with AB=AC .Side BA is produced to D such that ab=ad .Find the measure of angle BCD?
60 90 120 COD


Old Habits seldom die !!!

Number of perfect squares that are the divisors of the product 1!*2!*3!.....8! ?


😃

If the LCM of a,b,c is x and that of d,e, is y , would the LCM of x, y be the LCM of a,b,c,d,e

Plz explain using examples


thanx 😃