Official Quant thread for CAT 2013

MBA CAT 2024
39176

Two bottles A and B contain diluted acid. In bottle A, the amount of water is four times that of acid. In bottle B, the amount of acid is 4 times that of water. How much mixture should be taken from each bottle in order to prepare 4 litres of diluted sulphuric acid containing equal amount of acid and water?

2 litres, 2 litres

3 litres, 1 litre

1 litre, 3 litres

2.5 litres, 1.5 litres

None of these

39177

There are 10 identical blocks of cuboid of dimension 2 inches × 3 inches × 5 inches. The blocks are kept one on top of the other in a random fashion to form a structure. How many structures with unique heights can be created using these blocks? (Neglect instability of the structure) NOTE: Two of the flat faces of each cube are parallel to the ground.

39178

Samjhao Koi

39179

An advertisement board is to be designed with 5 vertical strips using some or all of the colours red, blue and green. in how many ways can the board be designed such that no two adjacent strips are of the same colour?
1. 12
2. 36
3. 24
4. 48
5.72

Approach pl

39180

The natural number 555......5 consisting of 65 fives,is equal to


1.5*(10^65-1/9)

2.5*(1+10^13+10^26+..........+10^65)(1+10+10^2+.......+10^12)

3.5*(1+10^5+10^10+10^15+.......+10^60)*(1+10+.....+10^4)
  • all three
  • only 1
  • only 1 and 2
  • only 1 and 3
  • only 2 and 3

0 voters

39181

If f(2, 7) = 57 and f(1, 6) = 37, what is the value of f(3, 10)?(a) 107 (b) 127 (c) 147 (d) None of these


I think the answer is107 please correct me if i am wrong

39182

If n is a natural number and the integers x1, x2, x3, ... xn are such that
(x1.x2) + (x2.x3) +.... + (xn-1.xn) + (xn.x1) - (x1.x2.x3 . . . . . xn-1.xn) is even, which of the following statements are true?
I. For all even values of n, all the x's have to be even.
II. For all even values of n, all the x's can be even.
III. For all odd values of n > 1, all the x's can be odd.
IV. For all odd values of n > 1, all the x's have to be odd.


Only I and III

Only II and III

Only II and IV

Only I and IV

39183

find the remainder when 777....(upto 37 digits) is divided by 19

  • 8
  • 7
  • 1
  • 2
  • 6

0 voters

39184

If a cartoon containing a dozen crockery plates is dropped , then which of the following cannot be the ratio of broken and unbroken plates?(a) 2:1 (b) 3:1 (c) 4:1 (d) 5:1

39185

A Chinese painter (Leo) has 9 jars of paint:4 are yellow2 are redrest are brown.He will combine 3 jars of paint into a new container to make a new color, which he will name accordingly to the following conditions:Brat Y if the paint contains 2 jars of brown paint and no yellowBrat X if the paint contains 3 jars of brown paintJoy X if the paint contains at least 2 jars of yellowJoy Y if the paint contains exactly 1 jar of yellowWhat is the probability that the name of the new color will have Joy?(a) 5/42 (b) 37/42 (c) 1/21 (d) 4/9

39186
pls help in solving the following
1.the number of ways in which 7! can be written as sum of some consecutive numbers
2.how many integer values of a and b are there such that 4a+7b=3 while |a|
3.S is a set of all natural numbers having 24 factors and 3 prime factors .Find the digital sum of the smallest element in S
4.12 ^107 % 37
5. (6^83+8^83) %49
6.N is a set of all natural numbers less than 500 which can be written as sum of two or more consecutive natural numbers.Find the max no of elements in N
7.How many non zero integral values of X,Y,Z are there such that X^2+Y^2=Z^2 and Z^2
8.how many natural numbers are there with 24 factors where 2,3,5 are the only prime factors
39187

not sure about OA, so lets discuss

  • 45c7
  • 56c7
  • 55c7
  • 63c7

0 voters

39188

The area of a rectangle is 675 sq.cm. If both the length and the breadth (in cm) of the rectangle are integers, how many such rectangles are there, for which at least one of the dimensions is not a multiple of 3 and at least one of the dimensions is not a multiple of 5?
1)1 2)2 3)6 4)4

39189

What is the remainder when 1! + 2 × 2! + 3 × 3! + 4 × 4! + ... + 12 × 12! is divided by 13? (a)1 (b)12 (c)11 (d)0

39190

please explain????completely...i am not able to understand ki vo leak completely khali kitni der me karega ????


two pipes a and b can fill the tank in 20 hours and 30 hours. both the pipes are opened to fill the tank but when the tank is one third full,a leak develops in the tank through which one fourth of the water supplied by pipes goes out.What is the total time taken to fill the tank??


39191

There is a trapezium ABCD such that the sides AB and CD are parallel to each other. The diagonals AC and BD intersect at O. The area of the triangle COD is 10 square cm and the area of the triangle AOB is 40 square cm. Find the area of the trapezium.

39192

The average of five natural numbers is 150. A particular number among the five exceeds another by 100. The rest three numbers lie between these two numbers and they are equal. How many different values can the largest number among the five take? (a) 59 (b) 19 (c) 21 (d) 42

39193

let n!= 1*2*3*...*n!.what could be the value of 1!+(2*2!)+(3*3!)+........(10*10!)??


plz tell the explanation as well...thnx in advance
  • 11!-1
  • 11*11!
  • 11!
  • 11!+1

0 voters

39194

how do we find out digital roots ? and thus help me find whether a number is a perfect square?

39195

Q. Find the remainder
888222888222. . . . . up to 9235 digits divided by 53.

Answer not known.

Do tell the approach.