Official Quant thread for CAT 2013

@nole said:
there are two quantities of milk-amul and sudha having different prices per litre,their volumes being 130 litres and 180 litres respectively.After equal amounts of milk was removed from both,the milk removed from amul was added to sudha and vice versa.The resulting two types of the milk now have the same price.Find the amount of milk drawn out from each type of milk.1)58.662)75.483)81.234)none of these.
75.48?
The average salary received by 23 employees in an office is Rs.5500. If the average salary of the first ten employees is Rs.6620 and the average salary of the last 12 employees is Rs.4556, what is the salary obtained by the 11th employee?

Rs.5826
Rs.5628
Rs.5612
Rs.5286
@Shray14 said:
If 16 men can finish a job in 32 days, in what time will the job be completed if 8 men leave after 16 days?approach plz
16*16+8*x=16*32
x=32
total=16+32=48
@Shray14 : only option with last digit 8 :P

how= 23*0 - 10*0 - 12*6= last digit only = 0-0-2=8
@Shray14 said:
The average salary received by 23 employees in an office is Rs.5500. If the average salary of the first ten employees is Rs.6620 and the average salary of the last 12 employees is Rs.4556, what is the salary obtained by the 11th employee?Rs.5826Rs.5628Rs.5612Rs.5286
5628?
@Shray14 said:
The average salary received by 23 employees in an office is Rs.5500. If the average salary of the first ten employees is Rs.6620 and the average salary of the last 12 employees is Rs.4556, what is the salary obtained by the 11th employee?Rs.5826Rs.5628Rs.5612Rs.5286
Rs. 5628?

5500 * 23 = 126500
6620*10 = 66200
4556*12 = 54672
11th employee's salary = 126500 - 66200 - 54672 = 5628
@grkkrg said:
Rs. 5628?5500 * 23 = 1265006620*10 = 662004556*12 = 5467211th employee's salary = 126500 - 66200 - 54672 = 5628
Yeh cal mistakes mera peecha kab chodengi..
although this question has already been discussed here,but i m still not able to grasp it.

Ashish is studying late into the night and id hungry . He opens his mother's snack cupboard without switching on the lights . Knowing that his mother has kept 10 packets of chips and biscuits in the cupboards . He pulls out 3 packets from the cupboards and all of them turn out to be chips . what is the probability that the snack cupboard contains 1 packets of biscuits and 9 packets of chips ?i

approached it like this.number of possible cases
3chips packet 7biscuit
4chips 6 biscuit
5chips 5 biscuits
6chips 4biscuits
7chips 3 biscuits
8chips 2 biscuits
9chips 1biscuits
10 chips 0 biscuits(although i took this case also,because in forums everyone was taking it,but when it is given 10 packets of chips and biscuits,then i think ATLEAST 1 biscuits packet must be there.isn't it?? )

answer is Probability = C(9, 3)/{C(10, 3) + C(9, 3) + .... + C(3, 3)} = 84/330 = 14/55

my answer was 1/8,because above there are total 8 cases.can someone explain WHY ANSWER IS NOT 1/8 ??
A jewelry shop has announced a discount in price by 20%. How many rings costing Rs. 500 each should Kamla purchase to avail a total discount of Rs.500?

7
6
5
4
Approach??
@Shray14 5?
@Shray14 said:
A jewelry shop has announced a discount in price by 20%. How many rings costing Rs. 500 each should Kamla purchase to avail a total discount of Rs.500?7654Approach??
i think answer is 5 rings

20% of 500=100rs
now he needs 2 buy 5 rings 2 avail a discount of 500 rs
@Shray14 said:
A jewelry shop has announced a discount in price by 20%. How many rings costing Rs. 500 each should Kamla purchase to avail a total discount of Rs.500?7654Approach??
5 rings
@nole said:
although this question has already been discussed here,but i m still not able to grasp it.Ashish is studying late into the night and id hungry . He opens his mother's snack cupboard without switching on the lights . Knowing that his mother has kept 10 packets of chips and biscuits in the cupboards . He pulls out 3 packets from the cupboards and all of them turn out to be chips . what is the probability that the snack cupboard contains 1 packets of biscuits and 9 packets of chips ?iapproached it like this.number of possible cases3chips packet 7biscuit4chips 6 biscuit5chips 5 biscuits6chips 4biscuits7chips 3 biscuits8chips 2 biscuits9chips 1biscuits10 chips 0 biscuits(although i took this case also,because in forums everyone was taking it,but when it is given 10 packets of chips and biscuits,then i think ATLEAST 1 biscuits packet must be there.isn't it?? )answer is Probability = C(9, 3)/{C(10, 3) + C(9, 3) + .... + C(3, 3)} = 84/330 = 14/55my answer was 1/8,because above there are total 8 cases.can someone explain WHY ANSWER IS NOT 1/8 ??
Ah good old iift question...well good new i mean to say :P.
Basically it involves application of baye's theorem. The reason they have taken done 3c3 4c3 etccc..is because the question is because the number of cases of him taking out the three chips will not be uniform as the number of chips changes. The event space has been modified.The denominator will vary, so its essentially asking thuis: (probability of ashish taking out 3 chips when there are 9 chips packets and 1 biscuit)/ (probability of asish takingout 3 chips packets when there are >=3 chips packets)

A shopkeeper mixed coffee and chikori powder in the ratio of 5:3 in a jar of 40 Kgs. How much chikori powder should he mix to these 40 kgs. To make the ratio 1:1?
@Shray14 said:
A shopkeeper mixed coffee and chikori powder in the ratio of 5:3 in a jar of 40 Kgs. How much chikori powder should he mix to these 40 kgs. To make the ratio 1:1?
25kg of coffee and 15 of chikori
So add 10kg of chikori to make ratio 1:1
@Shray14 He will have to add 10 kgs of chikori powder.
A music shop sells cassettes of English music, Hindi film songs and Telegu film songs at a ratio of 2:4:5. If in the month of June the shop sold 452 cassettes of Hindi film songs, the number of cassettes of Telegu film songs is??
@Shray14 said:
A music shop sells cassettes of English music, Hindi film songs and Telegu film songs at a ratio of 2:4:5. If in the month of June the shop sold 452 cassettes of Hindi film songs, the number of cassettes of Telegu film songs is??
565?
@maddy2807 said:
565?
it is in option..bro approach?
@Shray14 said:
it is in option..bro approach?
total no be X
acc to question
4X/11= 452
X= 452*11/4
Ration of tamil= 5X/11
replace value of X