Official Quant thread for CAT 2013

MBA CAT 2024
43990

In the country of Four, there are four cities, A, B, C

and D. B is to the East of A, C is to the South of B,

D is to the West of C, and A is to the North of D.

The Government of Four is planning to connect

these four cities by road such that it is possible for

a person to go from a city to any of the other three

cities. At the same time, the Government wants to

ensure that the total road length is minimum. The

distances between A to B, B to C, C to D and D to

A are all equal to 10 km. What should be the total

length of the road?

A. 26.64 km

B. 27.32 km

C. 28.30 km

D. 30 km

E. 36 km

43991

Xavier and Haneef are competing with each other in a swimming competition in a pool of 50m length for 1000m Race . xavier crosses 50m length in 2 min's and haneef cross it in 3min 15secs . How many times they cross/meet each other ?

Also had it been 5 min for crossing 50 m in case of Haneef , what would have been the ans ?

€‹
@sagarcat ?
43992

In how many ways can the letters of the word MELANCHOLY be arranged such that E appears before A and A appears before O?

a) 10!/3! 2!

b) 7! 3!/2! 2!

c) 7! 3!/3! 2!

d) 10!/2! 2!

43993

In how many ways 73 chocs can be stuffed in to three boxes b1, b2, b3 such that b1>b2>b3?

Approach Pls. Ans = 444
43994

There are n plates, numbered 1,2,3, ..., n, which are placed in a line. Eclairs are placed on these plates. Every alternate plate starting from plate 3 has 90 more eclairs than the previous plate. Every alternate plate starting from plate 2 has one-third of eclairs as compared to the previous plate. The plate 5 has 240 eclairs.

How many eclairs are there in plate 1?
43995

An oil tanker carrying oil was moving at the rate of 15 km/hr.When it was 1200 km away from the port,it sprang a leak.As a result oil started to drain at 100 lit/hr.So the driver decided to minimize the loss by increasing the speed of the tanker.Consumption of fuel decreases by Rs. 100/km for every increase of 10 kmph in the speed. Find the speed at which the tanker should move to balance the profit due to fuel consumption and oil loss.(Given the cost of the fuel is Rs.40/lit)

43996

Ashish, Binay and Joseph can do a job in 20, 30 and 40 days respectively. The three started the job together; Ashish left the job 4 days before it was completed and Binay left the job 3 days before it was completed. In how many days was the job completed?

a) 14

b) 12

c) 16

d) 15

43997

There exists a 10 digit number such that the 1st digit from left represents the number of 0's in the number, the

2nd digit from left represents the number of 1's occurring in the number and so on until the 10th digit represents

the number of 9's in the number.

1. The sum of the digits of the number is:

1. 8 2. 9 3. 10 4. 19

2. The number of 0s in the number is:

1. 9 2. 8 3. 7 4. 6

3. The number of 1s occurring in the number is:

1. 0 2. 1 3. 2 4. 3



explain as well pls.


43998

range of values for (sec x - tanx) x varies from 0 to +_ 45..approach plz...


43999

can ne1 mail me the documents for iift GK..prateek.3091@gmail.com is my mail id..thnx in advance..


44000

A rectangular sheet can be divided into two parts by breaking it along its length or its width. What is the least number of steps required to divide a rectangular sheet of size m × n into equal sheets of size 1 × 1?
a) |m – n| + 1

b) mn – 1

c) mn + 1

d) m^2*n

44001

Richard buton,the explorer,is going on a 10 day march.He is hiring bearers to carry food and supplies for him.Every person,including Burton,can carry food and supplies of one man for a 6 day march.The bearers will die if they don't have enough food supplies on their way back.

How many bearers does Burton need if he's to complete his march and the bearers are to return safely?

44002

In how many ways can 7^11 be expressed as a product of 3 numbers?

44003

A coach has to form a team of 8 students from 3 distinct groups having 6 students, 4 students and 3 students respectively. In how many ways can he form the team if, he has to select at least 2 students from each group?

240

5670

510

735



44004

A father starts from home at 3 PM to pick his son from school at 4 PM. One day the school got over early at 3 PM. The son started walking home. He met his father on the way and both of them reached home 15 min earlier than usual time. If the speed of the father is 35 Kmph. What is the speed of the son..?



44005

'a' and 'b' are the roots of the equation 2x^2 – 7x – 10 = 0, where a > b. If Z(n) = a^n – b^n for n> 0, then find the value of [2Z(6)-10Z(4)]/Z(5)

a) 6

b) 7

c) 12

d) 14

44006

The H.C.F. of a, b and c is 8. If a – b = b – c = 8 and the L.C.M. of a, b and c is a four-digit number, then what is the maximum possible value of c?

a) 80

b) 88

c) 96

d) 100

44007

2morow is my cat exam ! wat all things should carry ?

44008

Can someone explain me the concept of change in cummulative / change in average ? its very much used in DI

44009

last minute suggestions?

im having exam tomm..worried

please suggest me 😐