Official Quant thread for CAT 2013

A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?

(1)2 (2)4 (3)6 (4)5...


simple one 😃
sheila invested 5000 for 3 years, at 5% CI annualy. Tax at the rate of 20% on the interest is deducted at the end of each year. find amount at the end of 3rd year?

6756
5624
6787
6008

A car is moving along a circular race track of length l. The average speed of the car in metres per minute is 1/3 for the first minute, 1/6 for the next two minutes, 1/12 for the next four minutes and so on. What is the ratio of time taken for the nth round to that taken for the (n-1) th round?

16

12

7

8

To increase the sale of cigarettes at his shop, Maggio started giving one cigarette free for every five cigarette

stubs . If Vincent buys 500 cigarettes from Maggio, how many cigarettes in all will he able to smoke ?

600

624

620

625

😉

A person was asked to measure the volume of 2 different spheres. He found it out correctly but forgot the answer... But he remembers that both the radii were integers.Can you tell him the exact answer?
a) 379272 b) 349272 c) 739272 d) 439272

1!+2!+3!+4!+.................45! divided by 47 then the Remainder obtained is ??

bhaiyo thread pe ye question unsolved pada h. OA bhi nhi h. so ho jae behas :mg:

It says of all the factors of N are arranged in increasing order then product of 12th and 25th factors is equal to N. Find the number of factors of N

Five cops go to a cemetery. They leave their caps in the bag and pick them while return. In how many ways can they pick up the caps, so that exactly one person picks up his own cap?

a. 9 b. 5 c. 45 d. 96

There are N boxes, each containing at the most, k balls. If the number of boxes containing at least j balls is Nj for j = 1, 2, 3, ... k, then the total number of balls contained in these N boxes

a. is exactly equal to N1 + N2 + N3 + ... + Nk

b. is strictly larger than N1+ N2 + N3 + ... + Nk

c. is strictly smaller than N1+ N2 + N3 + ... + Nk

d. Cannot be determined

How many number of ordered pairs of natural numbers (a, b, c, d) are there such that LCM(a, b, c, d) = 2009?

not easy 😛

How many positive integral solutions does the following equation has:-

x + y + z + w = xyzw

dnk -oa

How many ordered triplets of natural numbers (a, b, c) are there such that GCD(a, b, c) = 1 and all a, b, c are factors of 2310 ?

what will be the 288th digit of 1222333334444444555555555....... ?

The number 50 is written as a sum of several positive integers (not necessarily distinct) whose product is divisible by 100. What is the largest possible value of this product?

It is given that GCD(a, 12, 18, 30) = 1, then how many different values 'a' can take such that a

How many ordered triplets of natural numbers (a, b, c) are there such that GCD(a, b, c) = 1 and all a, b, c are factors of 2310 ?

there were 90 qstns in an exam. if 1 mark for every crct ans and 1/3rd mark was deducted for each wrng ans, how many difrnt net scores were possible in the exam??

In recently conducted survey of food habits on 1000 people it was found that 82% people like North Indian food,67% like South Indian food, 54% like chinese food ,72% like flemish food while 69% like thai food.Given that every person like atleast one of the above 5 foods .What is the maximum number of people liking all the 5 types of food?

How many positive integers less than 1000 can be expressed as the sum of six consecutive positive integers, and as the sum of eight consecutive positive integers?