CA Foundation Exam > CA Foundation Questions > Ifnp13:(n+1)p12 =3 :4 then 'n' is ___...
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If np13 : (n+1)p12 =3 :4 then 'n' is ______
- a)13
- b)15
- c)18
- d)31
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Ifnp13:(n+1)p12 =3 :4 then 'n' is ______a)13b)15c)18d)31Correc...
NP13 : (n+1)P 12 = 3 : 4
4( nP3) = 3 { (n+1) P 12)
4 ( n !/ (n-13) ! ) = 3 { (n+1)! / (n+1-12)!}
4 n !/ (n-13) ! = 3 ( (n+1)!/(n-11)!)
4. (n-11)! / (n-13)! = 3 (n+1)! / n!
4. (n-11)(n-12) = 3(n+1)
4 (n^2 - 23n + 132) = 3n + 3
4n^2 - 92n + 528 - 3n -3 = 0
4x^2 - 95n + 525 = 0
(4n - 35)(n- 15)= 0
4n -35 = 0
n = 35/4
n - 15 =
n= 15
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Ifnp13:(n+1)p12 =3 :4 then 'n' is ______a)13b)15c)18d)31Correc...
Given equation: (n-1)p^2/3 = 4/3
To find: value of n
Solution:
Step 1: Simplifying the equation
Multiplying both sides by 3, we get:
(n-1)p^2 = 4
Dividing both sides by p^2, we get:
(n-1) = 4/p^2
Step 2: Substituting the value of p
From the given information, we know that:
p^2 = 3/4
Substituting this value in the above equation, we get:
(n-1) = 4/(3/4)
(n-1) = 16/3
n-1 = 5.33
n = 6.33
Step 3: Rounding off to the nearest integer
As n has to be a whole number, we round off 6.33 to the nearest integer, which is 6.
Step 4: Adding 1 to get the actual value of n
As the given equation is (n-1)p^2/3 = 4/3, we need to add 1 to the calculated value of n to get the actual value.
Therefore, n = 6+1 = 7.
Hence, option B (15) is incorrect and the correct answer is option B (7).
To find: value of n
Solution:
Step 1: Simplifying the equation
Multiplying both sides by 3, we get:
(n-1)p^2 = 4
Dividing both sides by p^2, we get:
(n-1) = 4/p^2
Step 2: Substituting the value of p
From the given information, we know that:
p^2 = 3/4
Substituting this value in the above equation, we get:
(n-1) = 4/(3/4)
(n-1) = 16/3
n-1 = 5.33
n = 6.33
Step 3: Rounding off to the nearest integer
As n has to be a whole number, we round off 6.33 to the nearest integer, which is 6.
Step 4: Adding 1 to get the actual value of n
As the given equation is (n-1)p^2/3 = 4/3, we need to add 1 to the calculated value of n to get the actual value.
Therefore, n = 6+1 = 7.
Hence, option B (15) is incorrect and the correct answer is option B (7).
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Ifnp13:(n+1)p12 =3 :4 then 'n' is ______a)13b)15c)18d)31Correct answer is option 'B'. Can you explain this answer?
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