Official Quant thread for CAT 2013

8000th term of the series 1234567891011121314151617....????

How many litres of water should be added to a 30 litre mixture of milk and water containing milk and water in the ratio of 7 : 3 such that the resultant mixture has 40% water in it?

A.

7 litres

B.

10 litres

C.

5 litres

D.

None of these

8000th term of the series 1234567891011121314151617....????

Easy One : A and B Together take 6 Minutes 40 Seconds to complete a Work. A Takes 3 Minutes less than B to complete the work. How much time does the fastest among A and B takes to complete the work ? Approach Also Please. So it helps others.

Sum of all the numbers 5 digit numbers formed using 0,5,4,3,2 ?


How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting repeating

A.

15

B.

96

C.

216

D.

120

E.

625

a, b, c are three distinct integers from 2 to 10 (both inclusive). Exactly one of ab, bc and ca is odd. abc is a multiple of 4. The arithmetic mean of a and b is an integer and so is the arithmetic mean of a, b and c. How many such triplets are possible (unordered triplets) .

A.

4

B.

5

C.

6

D.

7

A 6 digit number starts with 1.When the first digit 1 is placed at the units place the new number is 3 times the original number. Find the sum of digits.

sry bhailog i don hav the OA..😐

Find the area of triangle whose three altitudes have lengths 10, 12 and 15 units.

A. 60 square units B. 240/√7 square units C. 120/7 square units D. NOTA

A man cheats while buying as well as selling.While buying he gets 10% more than what he

pays and while selling he gives 20% less to customers.

Also he give 9.09% discount to the person buying commodities from him. So what is the total profit?

how to find the ways to form a number, if sum of its digits are given???

If two players A and B; play a game of coins in which the last person picking up the coin from the table wins the game.Now, consider there are 50 coins on a table & a person can pick up at max 7 coins & min of one coin in his chance.

If A starts the game , what should be the no. of coin he must pick up to ensure he wins.πŸ˜ƒπŸ˜ƒ

if x = 3.635 * 10^16

x +1/x βˆ’1 (> , x βˆ’1/x +1 ?

ps :explain..

A and B are playing a game in which they have to select 'n' number of coins. 'n' can be

between 1 and 4, both included. There are totally 180 coins. The last one who picks a

coin wins. How many coins should A pick in the beginning to ensure his win?

A and B are playing a game in which they have to select 'n' number of coins. 'n' can be

between 1 and 4, both included. There are totally 124 coins. The last one who picks a

coin loses. How many coins should A pick in the beginning to ensure his win?

if a + b/10>0

b + a/10

then

compare a and b >,

please explain

ABC and DEF are right triangles.

Each side of Ξ”ABC is twice the

length of the corresponding side of

Ξ”DEF.


then

(The area of Ξ”DEF)/(The area of Ξ”ABC) >1/2 or

ps:explain..


Most probable cases for coin type questions:

1. who picks the last coin and loses the game

2. who picks the last coin and wins the game

case 1 :

If A wants to win the game he should make number of coins in the from = (max+min)k+1 after his chance

case 2 :

If A wants to win the game he'll try to make number of coin in the form = (max+min)k
where k is a natural number


l/m+ n= m/n + l= n/l + m= k , where

k is a real number.


k = or > or

expalin please.

3x + 4|y| = 33. How many integer values of (x, y) are possible?

A. 6

B. 3

C. 4

D. More than 6