Please continue here for all the Quant queries and discussions. Link to the previous thread :- http://www.pagalguy.com/forum/quantitative-questions-and-answers/80436-official-quant-thread-cat-2012-a.html Please use the posts for discussions as judiciously as you can. Try to stick to ...
1. Uncle Shrooz has 3 daughters Loe, Joe and Koe, all of them are older than a year and their ages are integers. The product of their ages is 36 and the marriage of the youngest daughter is scheduled on 5th Jan 2010. What is the present age(in years) of the eldest daughter? (a) 6 (b) 9 (c) 18 (d) Data Insufficient
2. The value of given that a+b+c=0 is: a)1 b)0 c)abc d)x
3. The value of given that pqr=1 is: a)1 b)0 c)pqr d)p+q+r
PS: I do not have the answer key. Hope someone has been thru these ques b4.
1. ages can be: 2,3,6 2,2,9 3,3,4 The ages are unique only in 1st case as the ques mentions "youngest" & "eldest". (Marriage!!??) Ans: a
"All the help that you seek is within you." - Swami Vivekanand
Pls help in answering these: 1. Uncle Shrooz has 3 daughters Loe, Joe and Koe, all of them are older than a year and their ages are integers. The product of their ages is 36 and the marriage of the youngest daughter is scheduled on 5th Jan 2010. What is the present age(in years) of the elde...
1. Uncle Shrooz has 3 daughters Loe, Joe and Koe, all of them are older than a year and their ages are integers. The product of their ages is 36 and the marriage of the youngest daughter is scheduled on 5th Jan 2010. What is the present age(in years) of the eldest daughter? (a) 6 (b) 9 (c) 18 (d) Data Insufficient
2. The value of given that a+b+c=0 is: a)1 b)0 c)abc d)x
3. The value of given that pqr=1 is: a)1 b)0 c)pqr d)p+q+r
PS: I do not have the answer key. Hope someone has been thru these ques b4.
"All the help that you seek is within you." - Swami Vivekanand
here is 4 types of numbers 4k, 4k+1, 4k+2 and 4k+3 , 10 of each type n1 and n3 of same type and if n1 is of type of 4k+a, then n2 will be 4k+a+2 type if n1 and n2 of 4k type and n2 of 4k+2 type => 10*10*10 combinations if n1 and n3 of 4k+1 type and, n2 of 4k+3 type => 10*10*10 combinatio...
A combination lock has a 3 number combination, with each number an integer between 0 and 39 inclusive. Call the numbers n1, n2, and n3. If you know that n1 and n3 leave the same remainder when divided by 4, and n2 and n1 + 2 leave the same remainder when divided by 4, how many possible combinations are there?
here is 4 types of numbers 4k, 4k+1, 4k+2 and 4k+3 , 10 of each type
n1 and n3 of same type and if n1 is of type of 4k+a, then n2 will be 4k+a+2 type
if n1 and n2 of 4k type and n2 of 4k+2 type => 10*10*10 combinations if n1 and n3 of 4k+1 type and, n2 of 4k+3 type => 10*10*10 combinations if n1 and n3 of 4k+2 type and n3 of 4k type => 10*10*10 combinations if n1 and n3 of 4k+3 type and n3 of 4k+1 type => 10*10*10 combinations
total = 4*10*10*10 = 4000 combinations
I don't have time to hate people who hate me, because I am too busy in loving people who love me.
the numbers are of the form: 4m+k, 4l+k+2, 4k1+k. For k=0 putting m=0 to 9, we have corresponding ten values for k1=0 to 9. l goes from 0 to 9 too. thus total = 10*10*10 combinations similarly we get 1000 for k=1,2,3 So effectively no. of possible combinations would be 4*10*10*10= 4000....
A combination lock has a 3 number combination, with each number an integer between 0 and 39 inclusive. Call the numbers n1, n2, and n3. If you know that n1 and n3 leave the same remainder when divided by 4, and n2 and n1 + 2 leave the same remainder when divided by 4, how many possible combinations are there?
the numbers are of the form: 4m+k, 4l+k+2, 4k1+k. For k=0 putting m=0 to 9, we have corresponding ten values for k1=0 to 9. l goes from 0 to 9 too. thus total = 10*10*10 combinations similarly we get 1000 for k=1,2,3 So effectively no. of possible combinations would be 4*10*10*10= 4000. :|:shock:
A combination lock has a 3 number combination, with each number an integer between 0 and 39 inclusive. Call the numbers n1, n2, and n3. If you know that n1 and n3 leave the same remainder when divided by 4, and n2 and n1 + 2 leave the same remainder when divided by 4, how many possible combinations are there?
n1 n2 n3 when n1 of the form 4n then n2 of the form 4n+2 hence n1 and n3 each can take 10 values and n2 can take 10 values...hence 10*10*10 possibilities when n1 of the form 4n+1 then n2 of form 4n+3 hence n1 and n2 can take 10 values each and n2 can take 10 values hence 10*10*10
A combination lock has a 3 number combination, with each number an integer between 0 and 39 inclusive. Call the numbers n1, n2, and n3. If you know that n1 and n3 leave the same remainder when divided by 4, and n2 and n1 + 2 leave the same remainder when divided by 4, how many possible combinations are there?
n1 n2 n3 when n1 of the form 4n then n2 of the form 4n+2 hence n1 and n3 each can take 10 values and n2 can take 10 values...hence 10*10*10 possibilities when n1 of the form 4n+1 then n2 of form 4n+3 hence n1 and n2 can take 10 values each and n2 can take 10 values hence 10*10*10 when n1 of form 4n+2 then n1 and n3 can take 10 values and n2 10 values
hence 10*10*10
similarly for n1 of the form 4n+3 there would be 10*10*10 combinations...
A combination lock has a 3 number combination, with each number an integer between 0 and 39 inclusive. Call the numbers n1, n2, and n3. If you know that n1 and n3 leave the same remainder when divided by 4, and n2 and n1 + 2 leave the same remainder when divided by 4, how many possible combinatio...
A combination lock has a 3 number combination, with each number an integer between 0 and 39 inclusive. Call the numbers n1, n2, and n3. If you know that n1 and n3 leave the same remainder when divided by 4, and n2 and n1 + 2 leave the same remainder when divided by 4, how many possible combinations are there?
Three Lives. Three Destinies. One Name.
CAT'12 : 95.86%ile
Ye anayay hai A pe, Me nahi manti aise unjustice ko. Me A ko jyada dungi
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90 or concave if the internal angle is 270. If the number of convex corners in such a polygon is 25, the number of concave corners must be a. 20 b. 0 c. 21 d. 22
yes it is 21.
sum of all angles = (n-2 )*180 lets say no. of angles which is 270 =x
log2(3) hai, not log23 at x = 9 log2(3), log2(12) and log2(48 ) are in AP as 3, 12, 48 in GP it becomes log3, 2 + log3 and 4 + log 3 => in AP with common difference 2 (base is 2 here) so x = 9 satisfies
log2(3x+21) -log2(3x-15) = log2(3x-15) - log23(hope this is not log twenty three) thus, 3x+21/3x-15 = 3x-15/3 at, x=2 equations are equal. culdip bhai se diff aa raha hain...kuch to locha hain bhai
log2(3), log2 (3x 15) and log2 (3x + 21) are in AP then 3, (3x-15) and (3x+21) will be in GP so (3x-15)^2 = 3*(3x+21) => 9x^2 - 90x + 225 = 9x + 63 => x^2 - 11x + 18 = 0 => (x-2)(x-9) = 0 so x = 2 or 9 but 3x-15 can not be -ve, so x = 9
My take 10. AD4*E = A206 A can be 4 or 9. if it is 4, it will be less than A206. (100A+10D+4) 9 = 1000A+206 9(100A+10D) = 1170 100A +10D = 130 A= 1 , D=3 So 10
suppose polygon has n sides and 25 angles are convex then n-25 angles will be concave (as n sided polygon has n angles) so (n-2)*180 = 25*90 + (n-25)*270 180n - 360 = 2250 + 270n - 6750 n = 4140/90 = 46 so number of concave angles = 46 - 25 = 21
Ye anayay hai A pe, Me nahi manti aise unjustice ko. Me A ko jyada dungi
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90 or concave if the internal angle is 270. If the number of convex corners in such a polygon is 25, the number of concave corners must be a. 20 b. 0 c. 21 d. 22
suppose polygon has n sides and 25 angles are convex then n-25 angles will be concave (as n sided polygon has n angles)
Here 4 multiplied by something gives 6 hence E has to be 4 or 9. Let's try 4 AD4 X4 ---- Tens digit will be 4D+1 which can never be zero. Hence E is 9. AD4 X9 ---- Tens digit will be 9D+3 now D has to 3 Now we have A34 X9 --- A206 9A+3=10A + 2
The multiplication of two numbers is shown below. AD4 E A206 where A, D, and E are all distinct digits. The value of A + E is
A. 8 B. 9 C. 11 D. 10
Here 4 multiplied by something gives 6 hence E has to be 4 or 9. Let's try 4 AD4 X4 ---- Tens digit will be 4D+1 which can never be zero. Hence E is 9. AD4 X9 ---- Tens digit will be 9D+3 now D has to 3 Now we have A34 X9 --- A206
9A+3=10A + 2 A = 1 Therefore A+E=10 ________/\_________ Everyone.
E x 4 => last digit 6 E can be 4 or 9 let us take 4 E*4 = 16...6 carry one...but 1+4D should end in Zero......not possible for any value of D ------------------------------ hence E=9 D=3 AD4 x9 A206 E=9 D=3 A=1 hit and trial 134* 9 =1206 A+E=10
AD4 X E ----- A206 1- E can be 4 or 9. 2- If E is 4, we cannot get 0 in ten's place. E = 9. 3- Product of D and 9 should have 7 as unit's digit, D=3. 4- Product of E and A should have 9 as unit's digit, A=1. A+E = 10.
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90 or concave if the internal angle is 270. If the number of convex corners in such a polygon is 25, the number of concave corners must be a. 20 b. 0 c. 21 d. 22
Sum of angles of a polygon is (n-2)180 so ATQ 90n+270(n-25)=180(n-2) solve for n which would would 46 hence value of (n-25) would be 21
Ye anayay hai A pe, Me nahi manti aise unjustice ko. Me A ko jyada dungi
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90 or concave if the internal angle is 270. If the number of convex corners in such a polygon is 25, the number of concave corners must be a. 20 b. 0 c. 21 d. 22
C.21 foe every 5 convex angles 1 concave; for every 6 2 concaves and so on
Its 10 E can be 4 or 9...but 4 not possible cause in that case 4D+3 has to give units digit of 0...which is not possible hence E=9 We can now easily find that A=1 hence 10
The multiplication of two numbers is shown below. AD4 E A206 where A, D, and E are all distinct digits. The value of A + E is
A. 8 B. 9 C. 11 D. 10
Its 10
E can be 4 or 9...but 4 not possible cause in that case 4D+3 has to give units digit of 0...which is not possible hence E=9 We can now easily find that A=1 hence 10
Farooq purchases two watermelons, one weighing 20% more than the other. However, due to the summer heat, the combined weight of the two watermelons reduces by 1/4th. If the weight of the heavier watermelonreduces to 75% of its initial weight, then the lighter watermelon incurs a weight loss of
Farooq purchases two watermelons, one weighing 20% more than the other. However, due to the summer heat, the combined weight of the two watermelons reduces by 1/4th. If the weight of the heavier watermelonreduces to 75% of its initial weight, then the lighter watermelon incurs a weight loss of
A. 20% B. 25% C. 5% D. 22.5%
25% aayega isme
"Persistence and Determination alone are omnipotent" | http://anew-awakening.blogspot.in
No. of convex sides = 25, so sum of angles = 25*pi/2. The total angle of the polygon should be such that the sum can be expressed in the form : (n-2)*pi. Now, use the options: 25*pi/2 + x*(3*pi/2). When x = 21, Total angle = 44*pi. All others are fractions. Hence, Option (c).
Ye anayay hai A pe, Me nahi manti aise unjustice ko. Me A ko jyada dungi
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90 or concave if the internal angle is 270. If the number of convex corners in such a polygon is 25, the number of concave corners must be a. 20 b. 0 c. 21 d. 22
No. of convex sides = 25, so sum of angles = 25*pi/2.
The total angle of the polygon should be such that the sum can be expressed in the form : (n-2)*pi.
Now, use the options:
25*pi/2 + x*(3*pi/2). When x = 21, Total angle = 44*pi.
Farooq purchases two watermelons, one weighing 20% more than the other. However, due to the summer heat, the combined weight of the two watermelons reduces by 1/4th. If the weight of the heavier watermelonreduces to 75% of its initial weight, then the lighter watermelon incurs a weight loss of
Farooq purchases two watermelons, one weighing 20% more than the other. However, due to the summer heat, the combined weight of the two watermelons reduces by 1/4th. If the weight of the heavier watermelonreduces to 75% of its initial weight, then the lighter watermelon incurs a weight loss of
Ye anayay hai A pe, Me nahi manti aise unjustice ko. Me A ko jyada dungi
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90 or concave if the internal angle is 270. If the number of convex corners in such a polygon is 25, the number of concave corners must be a. 20 b. 0 c. 21 d. 22
21 hai kya Neetu ji
"Persistence and Determination alone are omnipotent" | http://anew-awakening.blogspot.in
Farooq purchases two watermelons, one weighing 20% more than the other. However, due to the summer heat, the combined weight of the two watermelons reduces by 1/4th. If the weight of the heavier watermelonreduces to 75% of its initial weight, then the lighter watermelon incurs a weight loss of...
Farooq purchases two watermelons, one weighing 20% more than the other. However, due to the summer heat, the combined weight of the two watermelons reduces by 1/4th. If the weight of the heavier watermelonreduces to 75% of its initial weight, then the lighter watermelon incurs a weight loss of
1. If log25 = log5y, then what is the appropriate value of y?
2. The angle subtended at the centre of a circle of diameter 50 cm by an arc of length 11 cm is?
3. f(x) = x/root3....then what is f(f(f(f(f....)))) ?
4. If r1 is the radius of the sphere with volume equal to the curved surface area of its hemisphere and r2 is the radius of the sphere with volume equal to its total curved surface area, then the ratio r1 : r2 is equal to ? forgot the formula :O
5. In how many ways can cards be distributed to 4 bridge players A, B, C, D such that each one of them has either all 4 aces or all 4 kings or all 4 queens or all 4 jacks? (Each player gets 13 cards)
6.A is 40% more efficient than B and his daily wages are 30% more. If A is paid Rs.65, how much will B receive for the same work?
_______//\\_______sam bhai(congractz for 1000 posts ) & otherz
Ye anayay hai A pe, Me nahi manti aise unjustice ko. Me A ko jyada dungi Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90 or concave if the internal angle is 270. If the number of convex corners ...
nah... A kam din me kaam comlpete krta hai.. B ko jyada din lgte hai.. aur unka wages din k according hai na ki kaam k accoding...
Ye anayay hai A pe, Me nahi manti aise unjustice ko. Me A ko jyada dungi
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90 or concave if the internal angle is 270. If the number of convex corners in such a polygon is 25, the number of concave corners must be a. 20 b. 0 c. 21 d. 22
length of arc= (x *2* pi*r)/(2*pi) 11 = x*50/2 x = 11/25 radian .. to convrt it in degree multiply by 180/pi nah... A kam din me kaam comlpete krta hai.. B ko jyada din lgte hai.. aur unka wages din k according hai na ki kaam k accoding...
let the selling price = (x+16) profit % = selling price x/(x+16)*100 = x+16 x^2-68x +256 =0 (x-64)(x-4) =0 so selling price of the article is either 20 or 80 sam bhai,gs4890 bhai aur baki sabhi bhaiyon mera ___/\___
Q.The cost price of an article is Rs.16. The percentage of profit when calculated on the selling price is numerically equal to the selling price. Then the selling price of the article is
let the selling price = (x+16) profit % = selling price x/(x+16)*100 = x+16 x^2-68x +256 =0 (x-64)(x-4) =0
so selling price of the article is either 20 or 80 sam bhai,gs4890 bhai aur baki sabhi bhaiyon mera ___/\___
b is gng to earn more because he is 40% less efficient so he is gng to take more days....:| ___________________________________ 10:14==5/7==thr efficiencies 65/5==13==A's earning per day 10==b's earning 10*7==70
Q.The cost price of an article is Rs.16. The percentage of profit when calculated on the selling price is numerically equal to the selling price. Then the selling price of the article is
Use C(n,r) + C(n,(r+1)) =C((n+1),(r+1)) C(101,50)=C(101,51) So C(101,51)+C(101,52) = C(102,52) Continue like this .... Finally C(179,129)+C(179,130) = C(180,130) P.s: Namaskar Sam bhai
Q.The cost price of an article is Rs.16. The percentage of profit when calculated on the selling price is numerically equal to the selling price. Then the selling price of the article is
1. If log25 = log5y, then what is the appropriate value of y?
2. The angle subtended at the centre of a circle of diameter 50 cm by an arc of length 11 cm is?
3. f(x) = x/root3....then what is f(f(f(f(f....)))) ?
4. If r1 is the radius of the sphere with volume equal to the curved surface area of its hemisphere and r2 is the radius of the sphere with volume equal to its total curved surface area, then the ratio r1 : r2 is equal to ? forgot the formula :O
5. In how many ways can cards be distributed to 4 bridge players A, B, C, D such that each one of them has either all 4 aces or all 4 kings or all 4 queens or all 4 jacks? (Each player gets 13 cards)
6.A is 40% more efficient than B and his daily wages are 30% more. If A is paid Rs.65, how much will B receive for the same work?
_______//\\_______sam bhai(congractz for 1000 posts ) & otherz
for qstn 1., are 2 & 5 the bases on either side of the equal sign ?
2. = 360*11/(2*22/7*25) = 25.7 4. r1 = 9/4 r2 = 3 r1:r2 = 3:4 5. 4!*36c9*27c9*18c9 6. B...........1 work A...............1.4 work wages A..........65.............1.4 A...................46..............1 work 46*100/130 = 35 (I am not sure though) B should earn less ...
1. If log25 = log5y, then what is the appropriate value of y?
2. The angle subtended at the centre of a circle of diameter 50 cm by an arc of length 11 cm is?
3. f(x) = x/root3....then what is f(f(f(f(f....)))) ?
4. If r1 is the radius of the sphere with volume equal to the curved surface area of its hemisphere and r2 is the radius of the sphere with volume equal to its total curved surface area, then the ratio r1 : r2 is equal to ? forgot the formula :O
5. In how many ways can cards be distributed to 4 bridge players A, B, C, D such that each one of them has either all 4 aces or all 4 kings or all 4 queens or all 4 jacks? (Each player gets 13 cards)
6.A is 40% more efficient than B and his daily wages are 30% more. If A is paid Rs.65, how much will B receive for the same work?
_______//\\_______sam bhai(congractz for 1000 posts ) & otherz
2. = 360*11/(2*22/7*25) = 25.7
4. r1 = 9/4 r2 = 3
r1:r2 = 3:4
5. 4!*36c9*27c9*18c9
6. B...........1 work A...............1.4 work
wages A..........65.............1.4 A...................46..............1 work
46*100/130 = 35 (I am not sure though)
1... 5
6.. 70rs
B should earn less than A. nahi kya A is more efficient & earning also more.
Q.The cost price of an article is Rs.16. The percentage of profit when calculated on the selling price is numerically equal to the selling price. Then the selling price of the article is
q.3 - infinite terms q.6 - nice strategy sirjee Q.The cost price of an article is Rs.16. The percentage of profit when calculated on the selling price is numerically equal to the selling price. Then the selling price of the article is
Q.3 till how many terms bro???? Q5..4K,4Q,4J,4A can be distributed amongst A,B,C,D in 4! ways... now we are left with 36 cards and each of A,B,C,D should get 9 cards each hence 4!*36C9*27C9*18C9*9C9
Q6... Let A do the work in 10x days...hence B does in 14x days.. Let the daily wage of B be 10y then that of A is 13y hence 10*13xy=65 hence xy=1/2 hence we have to find 14*10 xy=14*5=70
q.3 - infinite terms q.6 - nice strategy sirjee
Q.The cost price of an article is Rs.16. The percentage of profit when calculated on the selling price is numerically equal to the selling price. Then the selling price of the article is
1. If log25 = log5y, then what is the appropriate value of y?
2. The angle subtended at the centre of a circle of diameter 50 cm by an arc of length 11 cm is?
3. f(x) = x/root3....then what is f(f(f(f(f....)))) ?
4. If r1 is the radius of the sphere with volume equal to the curved surface area of its hemisphere and r2 is the radius of the sphere with volume equal to its total curved surface area, then the ratio r1 : r2 is equal to ? forgot the formula :O
5. In how many ways can cards be distributed to 4 bridge players A, B, C, D such that each one of them has either all 4 aces or all 4 kings or all 4 queens or all 4 jacks? (Each player gets 13 cards)
6.A is 40% more efficient than B and his daily wages are 30% more. If A is paid Rs.65, how much will B receive for the same work?
_______//\\_______sam bhai(congractz for 1000 posts ) & otherz
1... 5 2... 11/25 radian 3.. general term is x/3^n .. 4... working 5.. 4!*36c9*27c9*18c9 6.. 70rs
Q.3 till how many terms bro???? Q5..4K,4Q,4J,4A can be distributed amongst A,B,C,D in 4! ways... now we are left with 36 cards and each of A,B,C,D should get 9 cards each hence 4!*36C9*27C9*18C9*9C9 Q6... Let A do the work in 10x days...hence B does in 14x days.. Let the daily w...
3. f(x) = x/root3....then what is f(f(f(f(f....)))) ?
Q2...11/25 radians 5. In how many ways can cards be distributed to 4 bridge players A, B, C, D such that each one of them has either all 4 aces or all 4 kings or all 4 queens or all 4 jacks? (Each player gets 13 cards)
6.A is 40% more efficient than B and his daily wages are 30% more. If A is paid Rs.65, how much will B receive for the same work?
_______//\\_______sam bhai(congractz for 1000 posts ) & otherz
Q.3 till how many terms bro???? Q5..4K,4Q,4J,4A can be distributed amongst A,B,C,D in 4! ways... now we are left with 36 cards and each of A,B,C,D should get 9 cards each hence 4!*36C9*27C9*18C9*9C9
Q6... Let A do the work in 10x days...hence B does in 14x days.. Let the daily wage of B be 10y then that of A is 13y hence 10*13xy=65 hence xy=1/2 hence we have to find 14*10 xy=14*5=70
1. If log25 = log5y, then what is the appropriate value of y?
2. The angle subtended at the centre of a circle of diameter 50 cm by an arc of length 11 cm is?
3. f(x) = x/root3....then what is f(f(f(f(f....)))) ?
4. If r1 is the radius of the sphere with volume equal to the curved surface area of its hemisphere and r2 is the radius of the sphere with volume equal to its total curved surface area, then the ratio r1 : r2 is equal to ? forgot the formula :O
5. In how many ways can cards be distributed to 4 bridge players A, B, C, D such that each one of them has either all 4 aces or all 4 kings or all 4 queens or all 4 jacks? (Each player gets 13 cards)
6.A is 40% more efficient than B and his daily wages are 30% more. If A is paid Rs.65, how much will B receive for the same work?
_______//\\_______sam bhai(congractz for 1000 posts ) & otherz
1->5 2->geometry not my area 3->x/3^(n\2) 4->geometry again 5->4!*36c9*27c9*18c9 6->70 rs
few q's ....plz explain yr soln's 1. If log25 = log5y, then what is the appropriate value of y? 2. The angle subtended at the centre of a circle of diameter 50 cm by an arc of length 11 cm is? 3. f(x) = x/root3....then what is f(f(f(f(f....)))) ? 4. If r1 is the radius of the sphere ...
1. If log25 = log5y, then what is the appropriate value of y?
2. The angle subtended at the centre of a circle of diameter 50 cm by an arc of length 11 cm is?
3. f(x) = x/root3....then what is f(f(f(f(f....)))) ?
4. If r1 is the radius of the sphere with volume equal to the curved surface area of its hemisphere and r2 is the radius of the sphere with volume equal to its total curved surface area, then the ratio r1 : r2 is equal to ? forgot the formula :O
5. In how many ways can cards be distributed to 4 bridge players A, B, C, D such that each one of them has either all 4 aces or all 4 kings or all 4 queens or all 4 jacks? (Each player gets 13 cards)
6.A is 40% more efficient than B and his daily wages are 30% more. If A is paid Rs.65, how much will B receive for the same work?
_______//\\_______sam bhai(congractz for 1000 posts ) & otherz
Let f(p)=2^p +p^2 f(p)=(2^p+1)+(p^2-1) 1st we will check for p=2 and 3 f(2)=4+4=8 (Not Prime) f(3)=8+9=17(Prime) We know for every prime number > 3 ;(p^2 - 1) is divisible by 24 i.e divisible by 3. Also For every prime number greater than 3 ; (2^p+1) is divisible by 3. bcoz (...
We know for every prime number > 3 ;(p^2 - 1) is divisible by 24 i.e divisible by 3. Also For every prime number greater than 3 ; (2^p+1) is divisible by 3. bcoz (2^p + 1) mod 3 = 0 (bcoz all prime nos except 2 are odd)
So For p>3, f(p) can never be prime.
So we are left out with only one value of p and that is 3.
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