Please continue here for all the Quant queries and discussions. The links to the previous threads are: Part 1 http://www.pagalguy.com/forum/quantitative-questions-and-answers/74662-official-quant-thread-cat-2012-a.html Part 2 http://www.pagalguy.com/forum/quantitative-questions-and...
But yar why (a+b+c+d) is not possible??? EDITED: Dhanyawad @[251735:chillfactor] sir dhyan me hi nai rha ..... Agey kabhi galti nai hogi (a^13+b^13+c^13+d^13) mod (a+b+c+d) =0 [Only when a,b,c,d are in AP] :banghead: Also (a+b+c+d)^3 mod (a+b+c+d) = 0 @[577366:chevy] bhai ye...
@Budokai001 said: Aizen bhai,OA is d)26 .... you have the first term as well na ? i proceeded like... (a+b)^2 -(a^2+b^2)= 2ab --->divisble by 2 (a+b)^3-(a^3+b^3)=3(a^2b+aB^2) --. divisible by 3 and so extending this(a+b+c+d)^13 - (a^13+b^13+c^13+d^13) will be divisble by 13 From options 26 is the only lowest multiple of 13.
But yar why (a+b+c+d) is not possible???
EDITED: Dhanyawad @[251735:chillfactor] sir dhyan me hi nai rha ..... Agey kabhi galti nai hogi
(a^13+b^13+c^13+d^13) mod (a+b+c+d) =0 [Only when a,b,c,d are in AP]
:banghead:
Also (a+b+c+d)^3 mod (a+b+c+d) = 0
@[577366:chevy] bhai ye question dekhna to, mujhe to Multiple correct lag rha hai....
@[555978:yashasvi5] Let the total units of work be W units. Let x units/hour be the rate of work of the second person and let y units/hour be the rate of work of the woman. Let a units/hour be the rate of the first person. Now, as per the given condition, (W/x)=3+[(W)/(x+y)] ....(i)<...
Let the total units of work be W units. Let x units/hour be the rate of work of the second person and let y units/hour be the rate of work of the woman. Let a units/hour be the rate of the first person.
Now, as per the given condition,
(W/x)=3+[(W)/(x+y)] ....(i)
(W/a)=[(W)/(x+y)] ....(ii)
(W/a)=[2*(W/x)] -8 ...(iii)
from eqn(ii) we get as
a=x+y...(iv)
Solving eqn (i) and eqn(iii), we get..
W/a=2 hours, W/x=5 hours
Thus, from eqn(ii), we can write as
W/y=10/3 hours.
Now, the required time can be written as
T=(W)/(x+y+a)
Substituing the value of x, y and a in terms of W, get T as 1 hour, which is our required answer..
My Intrvwr askd me"Wht do u wnt 2 bcum in ur life?" I said"A Gud Humn" n i wsnt slctd bt i'm happy!!
iska answer i guess will be Cannot be determined,, 523abc for divisibility wid 9,,sum of numbers shud be multiple of 9 10+a+b+c=18 a+b+c=8 a=1,b=5,c=2 523152 is divisible by all 7,8,9 a*b*c=10 similarly wen a+b+c+10=27 a+b+c=17 6,5,6 523656 is also divisible by 7...
@RaghavMittal said: Kindly help,The number 523abc is divisible by 7,8 and 9. Then the value of a*b*c isA. 10B. 60C. 180D. Cannot be determinedKindly share the approach as well..Thank you..
iska answer i guess will be Cannot be determined,, 523abc for divisibility wid 9,,sum of numbers shud be multiple of 9 10+a+b+c=18 a+b+c=8 a=1,b=5,c=2 523152 is divisible by all 7,8,9 a*b*c=10
similarly wen a+b+c+10=27 a+b+c=17 6,5,6 523656 is also divisible by 7,8,9 a*b*c=180
so cannot be determined,,,
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Aizen bhai,OA is d)26 .... you have the first term as well na ? i proceeded like... (a+b)^2 -(a^2+b^2)= 2ab --->divisble by 2 (a+b)^3-(a^3+b^3)=3(a^2b+aB^2) --. divisible by 3 and so extending this(a+b+c+d)^13 - (a^13+b^13+c^13+d^13) will be divisble by 13 From options 26 is the...
find out root of 603000it is 776.xxx so all numbers in the subset should be greater than 776 (as 776 is not member of set A, but 780 is and 773*780 < 603000) so elements in subset will be 780 787 794 801 . . . 1004=> (1004 - 780)/7 +1 = 33 elements
@Budokai001 said: set 'S' is defined as shown .S={3,10,17,24.....1004}'A' is a subset of S such that the product of any two elements of A is greater than 603000.What is the maximum possible number of elements in A a)33 b)32c)31d)30
find out root of 603000
it is 776.xxx
so all numbers in the subset should be greater than 776 (as 776 is not member of set A, but 780 is and 773*780 < 603000)
so elements in subset will be 780 787 794 801 . . . 1004
=> (1004 - 780)/7 +1 = 33 elements
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@pyashraj said: @yashasvi5 Q.2 Two men and a women are entrusted with a task. The second man needs three hours more to cope with the job than the second man and the woman would need working together. The first man, working alone, would need as much time as the second man and the woman working together. The first man, working alone, would spend eight hours less than the double period of time the second man would spend working alone. How much time would the two men and the women need to complete the task if they all worked together? Is the answer 1hour...
yes correct answer......cud you please give d approach?
@[555978:yashasvi5] Q.2 Two men and a women are entrusted with a task. The second man needs three hours more to cope with the job than the second man and the woman would need working together. The first man, working alone, would need as much time as the second man and the woman working togeth...
Q.2 Two men and a women are entrusted with a task. The second man needs three hours more to cope with the job than the second man and the woman would need working together. The first man, working alone, would need as much time as the second man and the woman working together. The first man, working alone, would spend eight hours less than the double period of time the second man would spend working alone. How much time would the two men and the women need to complete the task if they all worked together?
Is the answer 1hour...
My Intrvwr askd me"Wht do u wnt 2 bcum in ur life?" I said"A Gud Humn" n i wsnt slctd bt i'm happy!!
my take is 32... sqrt of 603000 is approx equal to 780... so no of elements in set S with value more than or equal to 780 is 32.. hence the answer. Please let me know if my ans is wrong..
@Budokai001 said: set 'S' is defined as shown .S={3,10,17,24.....1004}'A' is a subset of S such that the product of any two elements of A is greater than 603000.What is the maximum possible number of elements in A a)33 b)32c)31d)30
my take is 32...
sqrt of 603000 is approx equal to 780...
so no of elements in set S with value more than or equal to 780 is 32.. hence the answer.
@Budokai001 said: set 'S' is defined as shown .S={3,10,17,24.....1004}'A' is a subset of S such that the product of any two elements of A is greater than 603000.What is the maximum possible number of elements in A a)33 b)32c)31d)30
@sumeet1489 said: option a hai kya iska
OA is A
(a+b+c+d)^13 - (a^13+b^13+c^13+d^13) is always divisble by
a)156
b)a+b+c+d
c)12
d)26
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Kindly help, The number 523abc is divisible by 7,8 and 9. Then the value of a*b*c is A. 10B. 60C. 180D. Cannot be determined Kindly share the approach as well.. Thank you..
@Stoicalme said: One side of a staircase is to be closed in by rectangular planks from the floor to each step.The width of each plank is 9 inches and their height are successively 6 inches ,12 inches , 18 inches.... and so on.There are 24 planks required in total.Find the area in square feet.
Iska a. 33 hai kya??? Elements of S is in AP. So we are asked the product of any two elements... 1004 + (33-1)*-7 = 780 So when multiplied by next lowest number should be > 603000 So 780*787 = 613860 .... p.s: @[419941:Enceladus] : sood sir __/\__ ; @[522923:allan89] bhai __/\__
@Budokai001 said: set 'S' is defined as shown .S={3,10,17,24.....1004}'A' is a subset of S such that the product of any two elements of A is greater than 603000.What is the maximum possible number of elements in A a)33 b)32c)31d)30
Iska a. 33 hai kya???
Elements of S is in AP.
So we are asked the product of any two elements...
1004 + (33-1)*-7 = 780
So when multiplied by next lowest number should be > 603000
So 780*787 = 613860 ....
p.s: @[419941:Enceladus] : sood sir __/\__ ; @[522923:allan89] bhai __/\__
@chevy said: haan yaar,,galti kar di maine,, 1) 4/6=2/3 6/9=2/3 5/4 LCM will be= LCM of numer/HCF of denomi = 10/1=10 2) 4/6=2/3 3/9=1/3 6/5 HCF will be=HCF on nume/LCM of denomi = 1/15 P.S.--- Aaj toh mela laga hua hai yahaan pe,,,lage raho bhai log
why cant we derive the solution without simplyfying..
I too got the answer after getting fractions simplified.
@Stoicalme said: LCM of fractions= (LCM of numerators)/(HCF of denominators) HCF of fractions=(HCF of numerators)/(LCM of denominators)Hence, the answers :1) 60/1. 2) 1/90
haan yaar,,galti kar di maine,, 1) 4/6=2/3 6/9=2/3 5/4 LCM will be= LCM of numer/HCF of denomi = 10/1=10 2) 4/6=2/3 3/9=1/3 6/5 HCF will be=HCF on nume/LCM of denomi = 1/15 P.S.--- Aaj toh mela laga hua hai yahaan pe,,,lage raho bhai log
@allan89 said: total distance travelled together = 2nd, where n=5; d= 100 =>1000m. A travels =2/5 *1000 =400m. => A and B will be at P during 5th meeting . Hence ans should be 0m
LCM of fractions= (LCM of numerators)/(HCF of denominators) HCF of fractions=(HCF of numerators)/(LCM of denominators)Hence, the answers :1) 60/1. 2) 1/90
@Budokai001 said: set 'S' is defined as shown .S={3,10,17,24.....1004}'A' is a subset of S such that the product of any two elements of A is greater than 603000.What is the maximum possible number of elements in A a)33 b)32c)31d)30
In how many ways can (2^4)(3^6) be written as a product of two distinct numbers? In how many ways can (5^6)(7^5) be written as a product of two distinct factors? In how many ways can (2^7)(3^11) be written as a product of two co-primes?
One side of a staircase is to be closed in by rectangular planks from the floor to each step.The width of each plank is 9 inches and their height are successively 6 inches ,12 inches , 18 inches.... and so on.There are 24 planks required in total.Find the area in square feet.
One side of a staircase is to be closed in by rectangular planks from the floor to each step.The width of each plank is 9 inches and their height are successively 6 inches ,12 inches , 18 inches.... and so on.There are 24 planks required in total.Find the area in square feet.
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total distance travelled together = 2nd, where n=5; d= 100 =>1000m. A travels =2/5 *1000 =400m. => A and B will be at P during 5th meeting . Hence ans should be 0m
@yudh said: bhaio please ye saval solve karna.... Distance between P and Q is 100m and speed of A and B are 20m/s and 30 m/s.initially A and B are at P.they move between P and Q.calculate distance between P and place of fifth meeting?
total distance travelled together = 2nd, where n=5; d= 100
=>1000m.
A travels =2/5 *1000 =400m.
=> A and B will be at P during 5th meeting . Hence ans should be 0m
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set 'S' is defined as shown .S={3,10,17,24.....1004}'A' is a subset of S such that the product of any two elements of A is greater than 603000.What is the maximum possible number of elements in A a)33 b)32c)31d)30
@chevy said: it'll be 4hrs capacity be total 24llet A take a hrs to fill 2.4lB take b hrs to fill 2.4lin 1 hr A fills 2.4/aB fills 2.4/bnwacc to conditiona/2 * 2.4/b + b/3 * 2.4/a = 5/6 * 24sry 2.4 nhi 24 hoga a/2b + b/3a=5/6from dis a:b=2:3 aaya 1/2x + 1/3x = 1/24 so A takes,,, 4hrs
capacity u have assumed as 24 l randomly or on some obeservation?
It can be written as (100 + 1)(100 + 2)(100 + 3)(200 - 1)(200 - 2)(200 - 3). The last two digits of the product of the first two terms will be 06 (100n + 6) The last two digits of the product of the last two terms will be 94 (200n - 6) The product of 94 and 6 is 564. Hence the last two ...
@[555978:yashasvi5] 1/A+1/B=1/2.4=5/12 A/2B+B/3A=5/6 Solving these two ,which took some time.. got A=24/5 , then B=24/5 A=4 then B=6 So least time will be 4 hours
@yashasvi5 said: Time and Work Questions Q.1 Two pipes A and B can fill up a half tank in 1.2 hours.The tank was initially empty. Pipe B was kept open for half the time required by pipe A to fill the tank by itself.Then, pipe A was kept for as much time as was required by pipe B to fill up 1/3 of the tank by itself.It was found that the tank then was 5/6 full.The least time in which any of the pipes can fill the tank fully isa.> 4.8 hrs b.> 4 hrs c.> 3.6 hrs d.> 6 hrs Q.2 Two men and a women are entrusted with a task. The second man needs three hours more to cope with the job than the second man and the woman would need working together. The first man, working alone, would need as much time as the second man and the woman working together. The first man, working alone, would spend eight hours less than the double period of time the second man would spend working alone. How much time would the two men and the women need to complete the task if they all worked together?
@[555978:yashasvi5]
1/A+1/B=1/2.4=5/12
A/2B+B/3A=5/6
Solving these two ,which took some time..
got A=24/5 , then B=24/5
A=4 then B=6
So least time will be 4 hours
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AB*r=x*yvolume of figure=pi/3*r^2*height of 1st cone + pi/3*r^2*height of second cone =pi/3*r^2(sum of heights of two cone)=pi/3*r^2*10 now for r to be maximum xy should be max. which is possible when x=y2x^2=100x=5_/2xy=50 10r=xyr=5 volume=250(pi)/3
bhaio please ye saval solve karna.... Distance between P and Q is 100m and speed of A and B are 20m/s and 30 m/s.initially A and B are at P.they move between P and Q.calculate distance between P and place of fifth meeting?
Distance between P and Q is 100m and speed of A and B are 20m/s and 30 m/s.initially A and B are at P.they move between P and Q.calculate distance between P and place of fifth meeting?
it'll be 4hrs capacity be total 24llet A take a hrs to fill 2.4lB take b hrs to fill 2.4lin 1 hr A fills 2.4/aB fills 2.4/bnwacc to conditiona/2 * 2.4/b + b/3 * 2.4/a = 5/6 * 24sry 2.4 nhi 24 hoga a/2b + b/3a=5/6from dis a:b=2:3 aaya 1/2x + 1/3x = 1/24 so A takes,,, 4hrs
@yashasvi5 said: Time and Work QuestionsQ.1 Two pipes A and B can fill up a half tank in 1.2 hours.The tank was initially empty. Pipe B was kept open for half the time required by pipe A to fill the tank by itself.Then, pipe A was kept for as much time as was required by pipe B to fill up 1/3 of the tank by itself.It was found that the tank then was 5/6 full.The least time in which any of the pipes can fill the tank fully isa.> 4.8 hrs b.> 4 hrs c.> 3.6 hrs d.> 6 hr
it'll be 4hrs
capacity be total 24l
let A take a hrs to fill 2.4l
B take b hrs to fill 2.4l
in 1 hr A fills 2.4/a
B fills 2.4/b
nw
acc to condition
a/2 * 2.4/b + b/3 * 2.4/a = 5/6 * 24
sry 2.4 nhi 24 hoga
a/2b + b/3a=5/6
from dis a:b=2:3 aaya
1/2x + 1/3x = 1/24
so A takes,,, 4hrs
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1) Lets pick up 10^10. It can be written as (10^3)^3*10. Now, 10^3 = 1001 - 1 and thus leaves a remainder of -1 when divided by 7. Thus 10^10 leaves a remainder of -10 (or +4) when divided by 7. Each of the subsequent terms of series will follow the same pattern and thus leave a remainder of 4...
@Stoicalme said:1) The remainder when 10^10+10^100....10^10000000000 is divided by 7 is? 2) The remainder when 2^2+22^2+......(222...49 2s)^2 is divided by 9 is?
1) Lets pick up 10^10. It can be written as (10^3)^3*10. Now, 10^3 = 1001 - 1 and thus leaves a remainder of -1 when divided by 7. Thus 10^10 leaves a remainder of -10 (or +4) when divided by 7. Each of the subsequent terms of series will follow the same pattern and thus leave a remainder of 4 when divided by 7. So for 10 such terms, the summation will be 10*4 = 40 which leaves a remainder of 5 when divided by 7. Hence 5.
2) An interesting concept: Any 'n' digit number leaves a remainder of 'unitary sum of its digit' when divided by 9. E.g. 4326 will leave a remainder of 6 (4 + 3 + 2 + 6 = 15 = 1 + 5 = 6) when divided by 9.
In this case, we can narrow down the equation to 2^2 + 4^2 + 6^2 + ....+ 98^2 which is same as 2^2 (1^2 + 2^2 +....49^2) which is same as 4*(49)*(49 + 1)*(2*49 + 1)/6 = 161700 which leaves a remainder of 6 when divided by 9.
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