@sujamait Aap toh bura maan gaye..ye lo question..Each root of the equation ax3 – 7x2 + cx + 231 = 0 is an integer. One of the roots is -1/2 times the sum of the other two roots. What is the sum of all the possible values of a?(a) 17 (b) –7 (c) –17 (d) None of these
p,q,r are roots => p = (-1/2) ( q + r) => p + q + r = -p ...(1)
Sum of roots = 7/a => -p = 7/a
p is an integer => a = 1,-1,7,-7 => p = -7,7, -1, 1 respectively
q + r = -2p => q + r = 14, -14, 2, -2
Now, pqr = -231/a => qr = 33
=> (q,r) = (11,3)/(-11,-3) =>p = -1/1 are rejected => a = 7/-7 are rejected
If 'a' is one of the roots of x^5 – 1 = 0 and a ≠ 1, then what is the value of a^15 + a^16 + a^17 +.......a^50?1) 12) 5a3) 354) NOTPlease explain with approach
a)1....? since a^5=1, given expr can be written as 7*(1+a+a^2+a^3+.a^4)+1 =7*{(a^5-1)/(a-1)} + 1 = 1
If 'a' is one of the roots of x^5 – 1 = 0 and a ≠ 1, then what is the value of a^15 + a^16 + a^17 +.......a^50?1) 12) 5a3) 354) NOTPlease explain with approach
If 'a' is one of the roots of x^5 – 1 = 0 and a ≠ 1, then what is the value of a^15 + a^16 + a^17 +.......a^50?1) 12) 5a3) 354) NOTPlease explain with approach
x^5 - 1 = (x -1)(x^4 + x^3 + x^2 + x + 1)
a ≠ 1 => a satisfies a^4 + a^3 + a^2 + a + 1 = 0 and a^5 = 1
no proper method....i assumed ki OA and OB together form 1 side and OC is perpendicular to this line...so area= 0.5*30*7 = 105...i wasn't sure whether this is max or not...thats y asked for options(if nt correct)
What if OA and OC form one side and OB is perpendicular? Value will become 165 I guess? Should be possible to get even more than that.
Need answer choices for this.....someone please provide? Edit: 192 tak aa raha hai...but can't prove it is maximum...not sure if I am making some mistake?
Sports Authority of India wanted to recruit a coach for Badminton sport and the conditions were as follows: 1. Candidate should be a graduate with minimum 60%. 2. Candidate should have finished the training from NIS Institute. 3. Candidate should have got minimum 3 years of experience as a coach. 4. Candidate should have played badminton for minimum 2 years. 5. Candidate should have passed physical fitness test.
In case the candidate has satisfied all the above conditions and has trained a State Champion, the candidate can be referred to the Senior Coach position.
In case the candidate has satisfied all the above conditions except (3) but has won a state tournament, the candidate can be referred to the post of Assistant coach.
Based on the above criteria and the information given in each case, you have to decide the course of action. You are not to assume anything. All these cases are given to you as on 21.01.2005. If you are not able to decide the course of action for want of data, your answer will be €˜data inadequate €™.
The recruitment is being conducted on 21st January 2005. For the possible course of action in each case,
Mark 1 if the candidate fulfills the criteria for coach Mark 2 if the candidate does not fulfill the criteria and he is rejected. Mark 3 if the data is inadequate. Mark 4 if the candidate is to be referred for the post of Senior Coach. Mark 5 if the candidate is to be referred for the post of Assistant Coach.
1. Saina has played Badminton for 3 years, has finished training from NIS Institute, is a graduate with 65% marks,has experience of 5 years as a coach and has passed the physical fitness test.
2. Raj Kumar was a state champion has played badminton for 6 years, is a graduate with 69% marks, has finished the training from NIS Institute, has coached for 1 year and has passed physical fitness test.
3. Kumari has coached Sampath who was a state champion, has passed the physical fitness test, has got 6 years of experience as a coach, is a graduate with 82% marks, has played badminton for 5 years, and has finished the training from NIS Institute.
4. Sandeep has finished the training from NIS Institute, has played badminton for 4 years, has passed physical fitness test, has coached for 2 years and has finished his graduation with 67% marks.
5. Vetrivel has played Badminton for 3 years, is a graduate with 78% marks,finished the training from NIS Institute, has coached for 6 years and has failed in physical fitness test.
Some Lr qs to practise:Sports Authority of India wanted to recruit a coach for Badminton sport and the conditions were as follows:1. Candidate should be a graduate with minimum 60%.2. Candidate should have finished the training from NIS Institute.3. Candidate should have got minimum 3 years of experience as a coach.4. Candidate should have played badminton for minimum 2 years.5. Candidate should have passed physical fitness test.In case the candidate has satisfied all the above conditions and has trained a State Champion, the candidate can be referred to the Senior Coach position.In case the candidate has satisfied all the above conditions except (3) but has won a state tournament, the candidate can be referred to the post of Assistant coach.Based on the above criteria and the information given in each case, you have todecide the course of action. You are not to assume anything. All these cases are given to you as on 21.01.2005. If you are not able to decide the course of action for want of data, your answer will be €˜data inadequate €™.The recruitment is being conducted on 21st January 2005. For the possible course of action in each case,Mark 1 if the candidate fulfills the criteria for coachMark 2 if the candidate does not fulfill the criteria and he is rejected.Mark 3 if the data is inadequate.Mark 4 if the candidate is to be referred for the post of Senior Coach.Mark 5 if the candidate is to be referred for the post of Assistant Coach.1.Saina has played Badminton for 3 years, has finished training from NIS Institute, is a graduate with 65% marks,has experience of 5 years as a coach and has passed the physical fitness test.2.Raj Kumar was a state champion has played badminton for 6 years, is a graduate with 69% marks, has finished the training from NIS Institute, hascoached for 1 year and has passed physical fitness test.3.Kumari has coached Sampath who was a state champion, has passed the physical fitness test, has got 6 years of experience as a coach, is a graduate with 82% marks, has played badminton for 5 years, and has finished the training from NIS Institute.4.Sandeep has finished the training from NIS Institute, has played badminton for 4 years, has passed physical fitness test, has coached for 2 years and has finished his graduation with 67% marks.5.Vetrivel has played Badminton for 3 years, is a graduate with 78% marks,finished the training from NIS Institute, has coached for 6 years and has failed in physical fitness test.
A teacher asked a student to add nine two digit number such that each number is tem more than previous number. But the student has all the numbers, which are formed by interchanging the digits of each of the given number. Surprisingly, the sum he got was the same as the teacher had asked for. Find the differnce of the digits in the least of the numbers the student was asked for to add?
A teacher asked a student to add nine two digit number such that each number is tem more than previous number. But the student has all the numbers, which are formed by interchanging the digits of each of the given number. Surprisingly, the sum he got was the same as the teacher had asked for. Find the differnce of the digits in the least of the numbers the student was asked for to add?
4?
Trial and error....15, 25, 35....95 and 51, 52,...59 both have same average = 55...so should be the case... regards scrabbler
Some Lr qs to practise:Sports Authority of India wanted to recruit a coach for Badminton sport and the conditions were as follows:1. Candidate should be a graduate with minimum 60%.2. Candidate should have finished the training from NIS Institute.3. Candidate should have got minimum 3 years of experience as a coach.4. Candidate should have played badminton for minimum 2 years.5. Candidate should have passed physical fitness test.In case the candidate has satisfied all the above conditions and has trained a State Champion, the candidate can be referred to the Senior Coach position.In case the candidate has satisfied all the above conditions except (3) but has won a state tournament, the candidate can be referred to the post of Assistant coach.Based on the above criteria and the information given in each case, you have todecide the course of action. You are not to assume anything. All these cases are given to you as on 21.01.2005. If you are not able to decide the course of action for want of data, your answer will be 창€˜data inadequate창€™.The recruitment is being conducted on 21st January 2005. For the possible course of action in each case,Mark 1 if the candidate fulfills the criteria for coachMark 2 if the candidate does not fulfill the criteria and he is rejected.Mark 3 if the data is inadequate.Mark 4 if the candidate is to be referred for the post of Senior Coach.Mark 5 if the candidate is to be referred for the post of Assistant Coach.1.Saina has played Badminton for 3 years, has finished training from NIS Institute, is a graduate with 65% marks,has experience of 5 years as a coach and has passed the physical fitness test.2.Raj Kumar was a state champion has played badminton for 6 years, is a graduate with 69% marks, has finished the training from NIS Institute, hascoached for 1 year and has passed physical fitness test.3.Kumari has coached Sampath who was a state champion, has passed the physical fitness test, has got 6 years of experience as a coach, is a graduate with 82% marks, has played badminton for 5 years, and has finished the training from NIS Institute.4.Sandeep has finished the training from NIS Institute, has played badminton for 4 years, has passed physical fitness test, has coached for 2 years and has finished his graduation with 67% marks.5.Vetrivel has played Badminton for 3 years, is a graduate with 78% marks,finished the training from NIS Institute, has coached for 6 years and has failed in physical fitness test.
A teacher asked a student to add nine two digit number such that each number is tem more than previous number. But the student has all the numbers, which are formed by interchanging the digits of each of the given number. Surprisingly, the sum he got was the same as the teacher had asked for. Find the differnce of the digits in the least of the numbers the student was asked for to add?
If you observe you'll find that the reverse of digits are consecutive numbers..
In any case average of the nine numbers will be in the fifties.. So the reverse numbers should be in fifties..
@SarayuSheshadri yaar In any case average of the nine numbers will be in the fifties.... seems logical but how will this thing help in derving the answer?
@SarayuSheshadri yaar In any case average of the nine numbers will be in the fifties.... seems logical but how will this thing help in derving the answer?
consider my consecutive numbers are 31, 32, 33,..,39 average is 35..
But my average is in the fifties..
So only possible value can be 55..
Now if 55 is the average of my numbers 51 was the reverse of the first number..
