Official Quant thread for CAT 2013

mailtoankit · February 5, 2013, 4:51pm

@pavimai said:
consider the set S={2,3,4,.....2n+1} ,where n is a positive integer larger than 2007 .Define X as the average of odd integers in S and Y as the average of the even integers in S.. What is the value of X-Y ???1(1/2)n20080

1?

2 + 4/2 = 3

3 + 5/2 = 4

4 - 3 = 1

iimaspirantaks · February 5, 2013, 5:00pm

@pavimai said:
consider the set S={2,3,4,.....2n+1} ,where n is a positive integer larger than 2007 .Define X as the average of odd integers in S and Y as the average of the even integers in S.. What is the value of X-Y ???1(1/2)n20080

1?

exodia · February 5, 2013, 5:03pm

The cost of an article (which is composed of raw materials and wages) was 3 times the value of the raw material used. The cost of raw materials increased in the ratio 3:7 and wages increased in the ratio 4:9. Find the present cost of the article if its original cost was Rs. 18.
1) Rs. 41
2) Rs. 30

3) Rs. 40

4) Rs. 46

pratskool · February 5, 2013, 5:07pm

@Exodia said:
The cost of an article (which is composed of raw materials and wages) was 3 times the value of the raw material used. The cost of raw materials increased in the ratio 3:7 and wages increased in the ratio 4:9. Find the present cost of the article if its original cost was Rs. 18.1) Rs. 412) Rs. 303) Rs. 404) Rs. 46

41

vbhvgupta · February 5, 2013, 5:07pm

Q6

@DeAdLy @Logrhythm @anytomdickandhary

subhashdec2 · February 5, 2013, 5:07pm

@Exodia said:

The cost of an article (which is composed of raw materials and wages) was 3 times the value of the raw material used. The cost of raw materials increased in the ratio 3:7 and wages increased in the ratio 4:9. Find the present cost of the article if its original cost was Rs. 18.1)

Rs. 41

2)
Rs. 303)

Rs. 404) Rs. 46

original cost =18

1/3 *18= raw material used =6

wages =12

new cost of raw materials = 14

new wages=27

present cost=41

exodia · February 5, 2013, 5:10pm

@Exodia said:
The cost of an article (which is composed of raw materials and wages) was 3 times the value of the raw material used. The cost of raw materials increased in the ratio 3:7 and wages increased in the ratio 4:9. Find the present cost of the article if its original cost was Rs. 18.1) Rs. 412) Rs. 303) Rs. 404) Rs. 46

OA 41

exodia · February 5, 2013, 5:11pm

@Exodia said:
Avessel contains a litres of wine and another vessel contains b litres of water. c litres are taken out of each vessel and transferred to the other if c x (a+b)=ab. If A and B are the respective values of the amount of wine remaining in the two containers after this operation, what can be said about the relationship between A and B?1) A=B2) (A-c)/(B-c) >23) A-B=4c4) None of thesePlz give answer alongwith explanation.

OA : D) None of these

saurav205 · February 5, 2013, 5:11pm

@Exodia said:
The cost of an article (which is composed of raw materials and wages) was 3 times the value of the raw material used. The cost of raw materials increased in the ratio 3:7 and wages increased in the ratio 4:9. Find the present cost of the article if its original cost was Rs. 18.1) Rs. 412) Rs. 303) Rs. 404) Rs. 46

41...

CP= W+RM (W=wage ; RM = Raw Material)

RM=a

CP=3a

W=2a

3a=18 ; a=6

RM= 6

3/7=6/X

where X is the new cost ; X =14

4/9 = 12/Y

Where Y is the new wage ; Y=27

CP = 27+14 = 41

exodia · February 5, 2013, 5:14pm

Sorry for spamming.....but surprised to see so many Liverpool fans here on this thread

YWNA

mailtoankit · February 5, 2013, 5:21pm

@Exodia said:
The cost of an article (which is composed of raw materials and wages) was 3 times the value of the raw material used. The cost of raw materials increased in the ratio 3:7 and wages increased in the ratio 4:9. Find the present cost of the article if its original cost was Rs. 18.1) Rs. 412) Rs. 303) Rs. 404) Rs. 46

41

cost of article = 18

cost of RM = 18/3 = 6

cost of wages = 12

3/7*x = 6

x = 14

4/9*y = 12

y = 27

present cost = 14 + 27 = 41

veertamizhan · February 5, 2013, 5:21pm

ABC is a right angled isosceles triangle with angle B being 90. If D is a pont on AB so that angle DCB = 15 and AD = 35cm, find the length of CD.

subhashdec2 · February 5, 2013, 5:25pm

@Exodia said:
Sorry for spamming.....but surprised to see so many Liverpool fans here on this thread

YWNA

YNWA man

exodia · February 5, 2013, 5:29pm

@veertamizhan said:
ABC is a right angled isosceles triangle with angle B being 90. If D is a pont on AB so that angle DCB = 15 and AD = 35cm, find the length of CD.

DCB is 45 degree as you mentioned that ABC is isoceles right angled triangle.
It should be DBC equal to 15 degree.
In that case CD is 35(2- root(3)).

ishu1991 · February 5, 2013, 5:31pm

@Exodia said:
DCB is 45 degree as you mentioned that ABC is isoceles right angled triangle.It should be DBC equal to 15 degree.In that case CD is 35(2- root(3)).

hw it cud be possible if angle b is 90 degree

exodia · February 5, 2013, 5:35pm

@ishu1991 said:
hw it cud be possible if angle b is 90 degree

angle ABC is 90 degree but angle DBC is 15 and angle ABD is 75 degree.

saurav205 · February 5, 2013, 5:36pm

@Exodia said:
Sorry for spamming.....but surprised to see so many Liverpool fans here on this thread YWNA

You also YNWA??

and why surprised ??

Sorry for spamming people, just could not help commenting!!!

veertamizhan · February 5, 2013, 5:37pm

@Exodia

saurav205 · February 5, 2013, 5:41pm

@Exodia said:
angle ABC is 90 degree but angle DBC is 15 and angle ABD is 75 degree.

D lies on AB , as per the question.

that means ADB is a straight line.

exodia · February 5, 2013, 5:41pm

@veertamizhan said:
@Exodia

Sorry man, I mis read the question and took D on AC. My mistake!!