Official Quant thread for CAT 2013

Ram started from P towards Q at 3 am and Ravi from Q towards P at 8 am. They met at 12 pm and then reached their destinations simultaneously, at what time did Ram reach Q?

If the first wicket pair of Das and Dasgupta bats for 22 overs and during this partnership Das has started batting normally and turned aggressive after 15 overs ...que is 4m Arun Sharma, Page 147, 5th edition...if anybdy needs full que plz prompt...I need solution of each que asked under the para...thanks

In a colony, there are 350 residents. The number of residents who smoke cigar, hookah and cigarette as a percentage of the total number of residents is at least 40%, at least 30% and at least 22% respectively.

a) If 50% of the residents do not smoke, then at most how many residents smoke exactly one of cigar, cigarette and hookah?

a) 70 b) 175 c) 98 d) 91




b) If p is the number of residents smoking all the three, then

a) 28

b) 0

c) 0

d) 0


👍

Three ladies have each brought a child for admission to a school. The head of the school wishes to interview the six people one by one, taking care that no child is interviewed before his/her mother. In how many different ways can the interview be arranged?
a) 60 b) 720 c)2 d) 90

find last digit of 17^18^19^20

which is the smallest no. which when divided by 7,8,9 leaves 2,4,6 as remainders?

thus --->



can any one explain this???

At a particular tym in the 20th century, thr were 7 bowlers in the indian cricket team's list of 16 players short listed to play the nxt world cup. Satatistician discovered that if u luked at the no. of wkts taken by any of the 7 bowlers of the current indian team, the no. of wkts taken by them had a strange property. the no. were such that for any team selection of 11 players (having 1 to 7 bowlers) by using the no. of wkts taken by each bowler and attaching coefficient of +1, 0, -1 to each value avaliable & aading the resultant values, any no. from 1 to 1093, both included could b formed. if we denote W1,W2,W3,W4,W5,W6,W7 as the 7 values in ascending order what could b d the ans to the following que.



FIND THE INDEX OF THE LARGEST POWER OF 3 IN THE PRODUCT OF

W1 W2 W3 W4 W5 W6 W7A)15 B)10 C)21 D)6

  • Find the value of W1+2W2+3W3+4W4+5W5+6W6 A)2005 B)1995 C)1985 D)NONE OF THESE
  • FIND THE INDEX OF THE LARGEST POWER OF 3 IN THE PRODUCT OF W1 W2 W3 W4 W5 W6 W7A)15 B)10 C)21 D)6

0 voters

In a gathering of some friends, it was observed that five of the friends don €™t like to play cards, five don €™t like to watch TV and five don €™t like to listen to songs. Among those who like to play cards, only four like to watch TV. Among those who like to watch TV, only three like to listen to songs. Among those who listen to songs, only two like to play cards. Only one of the friends likes all the three activities mentioned.

57. What is the total number of friends in the gathering?

(a) 15 (b) 14 (c) 11 (d) Cannot be determined

58. What is the number of friends who like exactly one of the three activities mentioned?

(a) 3 (b) 4 (c) 5 (d) Cannot be determined


Bob is about to hang his 8 shirts in the wardrobe. He has four different styles of shirt, two identical ones of each particular style. How many different arrangements are possible if no two identical shirts are next to one another?

A.

764

B.

864

C.

964

D.

1064

P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A.

250 km

B.

350 km

C.

450 km

D.

500 km

Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5:3 and 1:2, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4:3. What is the ratio of the composition of the two basic elements in alloy X?

A.

1 : 1

B.

2 : 3

C.

5 : 2

D.

4 : 3

(1+2x^2+x^4)^100 no. of terms? approach plz @akki26

How many times does 2 appear in 4 digit numbers?

Total number of odd positive integral solution of a+b+c+d

a. 16c4 b. 2^5 c. 11c3 d.12c4 e. NoT


plz explain

In how many ways can four identical yellow balls and two identical red balls be arranged on the circumference of a circle?

Please explain

In how many ways can four identical yellow balls and two identical red balls be arranged on the circumference of a circle?

If w+ 5x + 5y + 5z = N has 165 non negative integral solution then what is the

value of Max(N)

a. 50 b. 45 c. 49 d. 44 d. none of these

Total number of integral ordered pair solution of a*b*c=1001^2

a. 27 b. 27c3 c. 216 d.864 e. NoT

what is the remainder when 53^1111 is divided by 51?