Official Quant thread for CAT 2013

N = 5^x

x= 1!+2!+..........+13!


what is the single digit sum of N?

6 balls of different colours are to be distributed among 2 boys. What is the probability that each boy gets the same no. of balls?


a)5/16
b)15/64
c)1/2
d)3/8

Pls share approach

An anti aircraft gun can fire four shots at a time. If the probabilities of the first, second, third and the last shot hitting the enemy aircraft are 0.7, 0.6, 0.5 and 0.4, what is the probability that four shots aimed at an enemy aircraft will bring the aircraft down?(a) 0.084 (b) 0.916 (c) 0.036 (d) 0.964 -

In the figure shown, ABE is a right-angled triangle such that BE || CD. It is also known that AB = 6cm and BE = CD = 8cm. The area of BCDE is 16 sq. cm. What is the perimeter of polygon ABCDE?(a) 24(b) 26(c) 28(d) Cannot be determined -

A speaks truth in 30% of the cases. b lies in 40% of the cases and c speaks the truth in 25% of the cases. all of them have been interrogated in a murder case. What is the probability that the inspector would catch the murderer, if he goes by majority of the answers given by A, B and C?


a) .24
b).45
c) .285
d) none of these

A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked. "How many gold coins do we have?" After pausing a moment, he replied, "Well! If I divide the coins into two unequal numbers, then 48 times the difference of the numbers is equal to the difference of their squares. The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins the merchant has?

(1) 48

(2) 96

(3) 32

(4) 36 (CAT 2002)

Each of the 40 rooms in a hostel block is in the shape of a rectangular box with a square base of 64 square feet and height 10 feet. Two painters, Ajay and Vijay, who always work at their respective constant rates, are given the contract for painting the walls and ceilings of these 40 rooms. Working alone, Vijay takes 1 hour more to paint a wall than if the two painters had worked together. Working alone, Ajay takes 15 hours longer than if Vijay had worked alone. If they work 8 hour days, in how many days will the 40 rooms be painted?

A)768

B)96

C)160

D)32

Let g (x) be a function such that g (x + 1) + g (x – l) = g (x) for every real x. Then for what value of p is the relation g (x + p) = g (x) necessarily true for every real x ?

(1) 5

(2) 3

(3) 2

(4) 6

If u, v, w and m are natural numbers such that u^m + v^m = w^m, then which of the following is true?

(1) m

(2) m > Max (u, v, w)

(3) m

(4) None of these (CAT 2002)

The cost and revenue functions (in ) of a company are (x3 - 250x) and (50x2 + 100x) respectively, where x is the number of units sold. What can be the maximum profit per unit?

Can anybody help??
What is the smallest number which when divided by 7,8,9 leaves a remainder of 2,4,6 respectively??

David Shop sells samosas in boxes of different sizes. The samosas are priced at Rs. 2 per samosa up to 200 samosas. For every additional 20 samosas, the price of the whole lot goes down by 10 paise per samosa. What should be the maximum size of the box that would maximise the revenue?
Plz tell the approach..


  • 3)300
  • 1)240
  • 5)none of these
  • 4)400
  • 2)250

0 voters

find the remainder when 1444246849 divided by 792?

If a/b = c/d, then the value of which of the following is equal to the value of (a^2 + b^2)/(c^2 + d^2) ?
A) 1/2
B) (a+b)/(c+d)
C) (ab)/(cd)
D) (a-b)/(c-d)

Guys, what would be the best answer to explain "Why you want to do an MBA after Engineering" ?

In a square PQRS, T is the midpoint of PQ and U is any variable point on QR. What is the minimum

possible value of 'SU + UT' (in cm) if the side of the square is 2 cm?

(a) 2_/ 2 (b) _/5 +_/2 + (c) 1+2_/2 + (d) _/13

The digits 1, 2, 3, 4... 8, 9 are written in random order to form a nine digit number. Find the probability that this number is divisible by 11.

1/11
2/234
11/55
11/126


ABC is a 3 digit number with distinct digits. If it is known that 3 × ABC is equal to another 3 digitnumber CCC, then what is the value of B?(a) 1 (b) 3 (c) 5 (d) 8

A takes 36 hrs to do a piece of work by himself, while B & C take 28 and 26 hrs respectively to do the same work individually. A and C start working together at 8 a.m. After some time, B joins them. 3 hrs after that, A leaves for a doctor's appointment. B & C finish the work by 9.p.m. At what time did B join ?

1) 2 p.m
2) 11 a.m
3) 12 noon
4) 3:30 p.m

hi...i m going to give cmat for the first time...plz can anybody provide me a link where i can give a mock specially designed for cmat