Official Quant thread for CAT 2013

Sum of digits of a 5 digit number is 41. Find the probability that such a number is divisible by 11?

A.

2/15

B.

11/36

C.

3/35

D.

6/35

Four unit squares are chosen at random on a chessboard. What is the probability that three of them are of one colour and fourth is of opposite colour?

A.

80/427

B.

160/427

C.

320/1281

D.

640/1281

Shiwani thought of a two-digit number and divided the number by the sum of the digits of the number. He found that the remainder is 3. Devesh also thought of a two-digit number and divided the number by the sum of the digits of the number. He also found that the remainder is 3. Find the probability that the two digit number thought by Shiwani and Devesh is TRUE?

A.

1/15

B.

1/14

C.

1/13

D.

1/12

An eight-digit telephone number consists of exactly two zeroes. One of the digits is repeated thrice. Remaining three digits are all distinct. If the first three digits (from left to right) are 987, then find the probability of having only one 9, one 8 and one 7 in the telephone number.

A.

1/18

B.

1/20

C.

1/10

D.

5/47

How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?

A.

20 kgs

B.

12.5 kgs

C.

16 kgs

D.

200 kgs

Three gold coins of weight 780gm, 840gm and 960gm are cut into small pieces, all of which have the equal weight. Each piece must be heavy as possible. If one such piece is shared by two persons, then how many persons are needed to give all the pieces of gold coins?

A.

86

B.

70

C.

43

D.

35

If 1,logx/logy ,logy/logz,-15logz/logx are in AP. find the relation btween x,y and z

  • x=z^3
  • none of dese
  • All of dese
  • xy=1
  • y=1/z^3

0 voters

A set of 15 different words are given.In how many ways is it possible to choose a subset of not more than 5 words?
1)4944
2)4 raised to 15
3)15 raised to 4
4)4943
Can you please help me out with the solution for this question with steps..thanks

The game 'Chunk-a-Luck' is played at carnivals in some parts of Europe. Its rules are as follows: If you pick a number from 1 to 6 and the operator rolls three dice. If the number you picked comes up on all three dice, the operator pays you Rs. 3 ; If it comes up on two dice, you are paid Rs. 2; And it comes up on just one dice, you are paid Rs. 1.

Only if the number you picked does not come up at all, you pay the operator Rs. 1. The probability that you will win money playing in this game is:

A.

0.52

B.

0.753

C.

0.42

D.

None of the above

Two friends A and B run around a circular track of length 510 metres, starting from the same point, simultaneously and in the same direction. A who runs faster laps B in the middle of the 5th round. If A and B were to run a 3 km race long race, how much start, in terms of distance, should A give B so that they finish the race in a dead heat?

A.

545.45 metres

B.

666.67 metres

C.

857.14 metres

D.

Cannot be determined

Yana and Gupta leave points x and y towards y and x respectively simultaneously and travel in the same route. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the speed of Gupta?

A.

72 kmph

B.

32 mph

C.

20 mph

D.

None of these

Quantum CAT: Quantitative Aptitude Common Admission Test for Admission Into IIMs (Paperback) by Sarvesh K Verma Publisher:Arihant .This is said to be good book for preparation of CAT if any one has an e-copy please share it


given Q

7^7^7^7......infinity.. mod 29 =?

can someone plz send me de basics of shifting of graphs...graphs of inequalities and function graph


Let a, b, c be odd positive integers. Now the equation ax^2+bx+c=0 always has
1) real roots 2) no real roots 3) rational roots 4) no rational roots


(1) question can be answered from statement A alone but not by using the statement B alone.(2) question can be answered from statement B alone but not by using the statement A alone.(3) question can be answered by using either of the statements alone.(4) question can be answered by using both the statements but not by either of the statements alone.(5) question cannot be answered on the basis of the two statements.

Consider integers x, y and z. What is the minimum possible value of x2+ y2+ z2

A. x + y + z = 89

B. Among x, y, z two are equal. (CAT 2007)

  • 4
  • 1
  • 5
  • 2
  • 3

0 voters

Someone pls solve and let me know the approach...

The density of a liquid is defined as the weight per unit vol of the liquid. The densities of two liquids A and B are in the ration 2:1. The liquid B evaporates at a rate(in kg/hr) which is twice as fast compared to that of liquid A, which evaporates at a rate of 1 kg/hr. If 70kg of liquid A is moved with 30kg of liquid of B to form a mixture, find the number of hrs the mixture needs to be evaporated so that the density of the resultant mixture is 1.04 times that of the original mixture. Assume that there is no chemical reaction between the liquids.

2.5
3
3.5
4

Pls post the approach. TIME walo ka solution samjh ni aya 😠

If x² + y² - 6x + 4y = 4, find the maximum value of 3x + 4y. . .pls post your approach