During the hearing, fast bowlers Amir and Asif gave differing explanations for Majeed's accuracy in predicting when they would overstep.
Butt, Amir and Asif were last month caught by a News of the World sting which alleged they accepted money to deliberately bowl no-balls during the fourth Test against England at Lord's.
Butt, who was Test captain during the summer tour of England, Amir and Asif were questioned by British police following allegations published in the News of the World newspaper about the final Test against England at Lord's.
Captain Salman Butt, bowlers Mohammad Amir and Mohammad Asif and wicketkeeper Kamran Akmal are the quartet being questioned.
Until then, Salman Butt, Mohammad Amir and Mohammad Asif remain provisionally suspended from all cricket by the International Cricket Council (ICC).
The Pakistan Cricket Board said Salman Butt, Mohammad Amir and Mohammad Asif had written to the ICC "indicating their intention to defend themselves".
Batsman Salman Butt, as well as bowlers Mohammad Amir and Mohammad Asif, are under investigation for allegations made during Pakistan's tour of England.
Lorgat would not discuss details of the case against Salman Butt, Mohammed Amir and Mohammed Asif, but expressed himself happy at the way the matter had been dealt with.
Three players - batsman Salman Butt and pace bowlers Mohammad Amir and Mohammad Asif - were suspended and placed under investigation for alleged spot-fixing during the tour of England earlier this year.
Also rested were opener Imran Farhat, pacemen Mohammad Amir and Mohammad Asif and wicketkeeper Zulqarnain Haider - while injured seamer Umar Gul is set to miss the rest of the Test series with a torn hamstring.
Match-fixing is considered a more serious charge than the spot-fixing claims faced by Butt, Asif and Amir.
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The allegations first appeared on 29 August in the News of the World newspaper, which accused skipper Salman Butt, Asif and Amir of accepting money in return for bowling deliberate no-balls.
BBC: Police to question Pakistan bowler Wahab Riaz next week
It was claimed Asif and Amir deliberately bowled no-balls at pre-arranged times during the Test, with Butt also said to be involved, in return for money from a bookmaker's "middle man".
It was claimed Asif and Amir deliberately bowled no-balls at pre-arranged times during the Test, with skipper Butt also said to be involved, in return for money from a bookmaker's "middle man".
Pakistan trio Salman Butt, Mohammad Asif and Mohammad Amir have already given police statements.
BBC: Police to question Pakistan bowler Wahab Riaz next week
Former captain Salman Butt and bowlers Mohammad Asif and Mohammad Amir were also banned from international cricket for five years.
Butt and pace bowlers Mohammad Asif and Mohammad Amir were provisionally suspended by the ICC over the claims made during Pakistan's tour of England.
The much-publicised absence of Mohammad Asif and Mohammad Amir had allowed the 31-year-old an opportunity to come into the side, and he seized it with both hands.
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And in 2011, three top Pakistani players - Salman Butt, Mohammad Asif and Mohammad Amir - were banned after they were found guilty of involvement in a betting scam.
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The last time England and Pakistan met in a test series, it fell under the long, dark shadow of the match-fixing antics of Salman Butt, Mohammad Asif and Mohammad Amir.
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Former Pakistan captain Salman Butt and the bowling pair of Mohammad Asif and Mohammad Amir were all handed prison terms and handed bans of varying lengths by the International Cricket Council.
The Test series that preceded the one-day matches had been overshadowed by claims that bowlers Mohammad Asif and Mohammad Amir deliberately bowled no-balls after an undercover journalist paid money to a middle man.
Yesterday three international cricket players (Salman Butt, Mohammad Asif and Mohammad Amir of Pakistan) were convicted of conspiracy to defraud the public by a court in London and sentenced to jail time ranging from six months to two and half years.
This investigation is in addition to the alleged spot-fixing over no-balls in the Lord's Test in August, which led to a police investigation and ICC charges against Salman Butt, Mohammad Asif and Mohammad Amir - who have all now returned to Pakistan.
Despite the ongoing investigation into alleged spot-fixing that has blighted Pakistan's preparation for this one-day series, with players Salman Butt, Mohammad Asif and Mohammad Amir all charged and provisionally suspended by the International Cricket Council, the tourists produced a spirited display to come within 24 runs of their target.
The prospect of unsettled weather on the first two days at least suggests that Amir and the wily Mohammad Asif will still be a handful with the famous Lord's slope assisting them to move the ball off the seam as well, making it vitally important that England's batsmen knuckle down and be prepared to graft.
Asif, fellow paceman Mohammad Amir and batsman Salman Butt were suspended following spot-fixing allegations made during Pakistan's tour of England.
Former captain Butt has received a 10-year ban, five suspended, Asif seven years - two suspended - and Amir five.
Butt and Amir later lost their appeals to the ICC over the provisional bans, while Asif withdrew his appeal.
Bowler Mohammad Asif, 28, was jailed for one year and bowler Mohammad Amir, 19, was sentenced to six months for their part.
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