Official Quant thread for CAT 2013

The five digits of a five-digit number n are 1, 3, 4, 5 and 6. Given that n is a multiple of 11, find the smallest possible value of n and how many different values n can take ??

Please solve this question .. 😃


Eighty (80) students appeared in a test consisting of three papers QA, DI and English. 24 students passed in QA; 31 passed in DI, and 35 in English. Further, 49 students passed in at least one of QA and DI; 59 in at least one of DI and English; 54 in at least one of QA and English. Only 2 students passed in all the three papers. The number of students who failed in all the three papers is

Select one:

a. 10

b. 8

c. 6

d. 12


@paridhi11890

Please solve this question ..

Eighty (80) students appeared in a test consisting of three papers QA, DI and English. 24 students passed in QA; 31 passed in DI, and 35 in English. Further, 49 students passed in at least one of QA and DI; 59 in at least one of DI and English; 54 in at least one of QA and English. Only 2 students passed in all the three papers. The number of students who failed in all the three papers is



Select one:



a. 10



b. 8



c. 6



d. 12



ANS = 80 - ( 35 + 19 + 24 - 4 ) = 6

A positive integer N, when expressed in base 4 notation, has 19 digits. What is the number of digits when N is expressed in base 8 notation?

20 straight lines are drawn on a plane. If it is known that there are more than one intersection points, then what will be the lowest possible number of intersection points that can be there.

The number of ways of arranging n students in a row such that no two boys sit together and no two girls sit together is m(m > 100). If one more student is added, then number of ways of arranging as above increases by 200%. The value of n is

A) 12

B) 8

C) 9

D) 10

Previously posted by @Surbhi_Mehra

please solve the question .

please solve the question .

Q3-5

Q12 and 15

In a party there are 50 boys and n girls. Some boys and girls have shaken hands with each other. If each boy shakes hands with at least 5 girls while each girl shakes hands with at most 3 boys, find the smallest possible value of n.

Q4:

QuantExpert - Q.O.D

1. how many students joined the school in the year 2011-12

2. how many students joined the school in the year 2010-11

In a mathematics competition, students are required to form teams. Every team consists of 6 or 7 students from the same school. n students has been selected by school A and n from school B for the competition. Students from School A and school B are divided into 31 and 36 different teams respectively. Find sum of all possible values of n.

On the plane there are three circles with radii 1, 2, 3 respectively and the distance between the centers of any two of them is 10. If a fourth circle C is to be added on the plane such that C meets each of the three original circles at exactly one point, how many different circles C are possible ?

Dates are written as 'YY/MM/DD', a six-digit number. For example, 7th March 2004 is represented as 04/03/07. Now as 04 + 03 = 07 , we call it a 'good day'. In general, a day is said to be a 'good day' if, among the three two-digit numbers used for 'year', 'month' and 'day' in the above representation, one of them is equal to the sum of the other two. How many 'good days' are there in the 21st century (from 1st January 2001 to 31st December 2100)?

A cab do a piece of work in 20 days. He works at it for 5 days and then B finishes it in 10 more days. In how many days will A and B together finish the work???

Now I am no patronizer but somebody has got to solve me these questions...this blog has really got me hooked...

23)

Find the point of intersection of the two given conics:

C1= X^2 +Y^2– XY=37 C2 = X^2+ Y^2 – 4XY = -26

a) 3,8 b) 3,7 c) 4,6 d) 4,9 e) (2,3)

24) Find the value of F(X)= X^3 + Y^3- 3X – 4Y at point of intersection of the two given conics:

C1= X^2 +Y^2– XY=37 C2 = X^2 + Y^2 – 4XY = -26

a) 332 b) 345 c) 333 d) 350 e) 376

SOURCE:

APTICENTRE

The ratio of men to women in the applicants for Hyundai Motors this year is 4:3, while the ratio of men to women in the successful applicants is 5:3, and the ratio of men to women in the rejected pile is 1:1. If the number of successful applicants is 224, what is the number of applicants?

20 workers can finish a piece of work in 30 days. After how many days should 5 workers leave the job so that the work is completed in 35 days