Official Quant thread for CAT 2013

Starting with 1, if all positive integers are written one after another , what is the 10,000th digit that will be written?


Plz answer this question with explanation ..

thanku πŸ˜ƒ

how to convert (3221301) with the base 4 to a number of base 16...

this is a binary to decimal conversion form of question.

Plz explain the method ...


thanku πŸ˜ƒ

On a rectangular track points A and B are diagonally opp.if X starts running from point A towards point B along rectangular track, he takes 12 mins more than he would have taken had he run along the straight path.this difference is 4 mins for Y.Z travels half the distance with X's speed and remaining half with Y's speed taking 10 mins to travel 9 km.find the speed of Y.

ABCDEF a six digit number with unique digits in it is divisible by 11 having sum of digits as 24. If A>C>E and B>D>F then what is sum of ACE?

  • 12
  • 14
  • 16
  • 18
  • 10

0 voters

0.9999999______ upto infinity is exactly equal to 1. This was a fact taught in our class and if someone disagree with it the point was made that as no number exist in b/w these 2 so dont dare to ask next question. I know this is write but is there any technical explanation to this.

44444444444444 divided by 7, find the remainder.


(## note there are 14 number of 4's are there)

what is the probability that same Letter is chosen from CALCUTTA & CUTTACK?

10 people are sitting around a table. what is the probability that a particular couple sit to next to each other?

In a polygon with side n how many triangles can be formed such that they donot have a common side with the polygon.?

Mr. Gosh arrives at his office 30 min late everyday. On a particular day, he reduces his speed by 25% and hence arrived 50 min late instead.

a. Find how much time would he take to travel to his office if he decides to be on time on a blue moon day.
b. If he has to arrive on time, by what percentage should he increase his speed?
(assume on each of these days , he starts from his home at the same time)

Plz answer this question and explain it in DETAIL as well


thanku πŸ˜ƒ

A AND B run a 1760 m race ending in a dead heat. At first A runs 20% faster than B . B then quickens his pace ,and for the remaining distance runs 20% faster than A. when B quickens his pace, A has already run how much distance?

If a+b+c=0, then find the value of


(a^2)/3b + (b^2)/3a + (c^2)/3ab

a^2 +b^2 =2

c^2 +d^2 =2

p^2 +q^2 =2

The numbers considered are all real, then


A) ab+cd+pq > or= 6

B ) ab+cd+pq

C) ab+cd+pq > or= 3

D) ab+cd+pq

E) none

A number X is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3. What is the probability that |X|

A.

5/7

B.

3/7

C.

3/5

D.

1/3

What is the probability of getting at least one six in a single throw of three unbiased dice?

A.

1/6

B.

125/216

C.

1/36

D.

81/216

E.

91/216

Consider income of two persons in ratio a:b and expenditure in ratio x:y.


IF expenditure cannot exceed the income for either of them, find the condition under which we can ascertain who saves more??

Eg. Incomes of A and B are in the ratio 4:5 and expenditures in the ratio of 3:4

If incomes are 400 and 500 and expenditures are 30 and 40 , B saves more . If incomes are 400 and 500 and exp are 330 and 440 , A saves more.

However in case incomes of A and B are in the ratio 4:5 and expenditures in the ratio 5:6, whatever the absolute value of their incomes and expenditure, B will always be saving more..

Can you generalize what we have observed here??

Plz answer with explanation
thanx πŸ˜ƒ

A 6-digit number is called "BHAI-MERE" number if it contains exactly 4 different digits. How many "BHAI-MERE" numbers exist?
i) 4536
ii) 2,94,840
iii) 1,91,520
iv) none


πŸ˜ƒ

Natural numbers that are smaller than 10^4 and whose decimal notation consists only of the digits 0,1,2,3 and 5 which are not repeated in any of these numbers are called "BHAI-MERE" numbers.

How many "BHAI-MERE" numbers are there?



πŸ˜ƒ

Two variants of the "BHAI-MERE" exam papers are to be given to 12 students. Number of ways in which the 12 students can be placed in two rows of 6 each so that there should be no identical variant side by side and that the students sitting one behind the other should have the same variant.


πŸ˜ƒ

a dishonest wholesaler purchases some articles at the rate of 250rs/article and he found 24% discount per article . now , he sells its to the retailer at 1467000 rs and gives a discount of 18% to the retailer. now retailer sells its 1599000 rs and gives a discount of 20% to the customer and makes a profit of 26%. now, customer sells it to the another purchaser at 2009000 and gives a discount of 25% and makes a profit of 27%. now if the number of articles are equal to 12 times the total number of persons involved in the system(retailer,wholesaler etc) , then what is the overall profit % made by customer??

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