Thakur, who resumed Day 3 unbeaten, brought up his century with ease, reinforcing his case as the ideal seam-bowling all-rounder ahead of the Leeds Test.
This happened following India's practice session that saw both India's senior batters hit the nets at the Optus Stadium.
India have long curated home tracks that accentuate turn, but the assumption their own batters would master such conditions no longer appears safe following their defeat in the opening Test against South Africa.
'We are wishing you come back to RCB. I'm a die-hard RCB fan and you playing past in the RCB... definitely the rumours I've heard. I won't say anything but I'm just wishing and praying that you come into RCB,' to which Rahul replied 'Let's hope.'
Images from Day 1 of the second Test between India and South Africa, in Guwahati, on Saturday.
He contrasts that with Pakistan's past batting line-ups.
'That's the stuff that a lot of people don't see...the work that you put in, away from the shiny lights and the TV, but it's always nice I guess when you get the rewards from that.'
Earlier, after being 0-2 early in their second innings, India continued to battle on to frustrate England on day five, the tourists doing everything possible to keep the series alive on 322-4 at tea.
Rahul, who was dropped in the middle of England Test series held earlier this year, will be looking to make a comeback in the Indian Test set-up with the two-match Test series against Bangladesh, starting September 19.
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'They say it's not what we have in life, but who we have in our life that matters... feeling blessed to have you in ours for a connection I can't explain... happy birthday Rahul... love you son.'
India's experienced opener KL Rahul expressed admiration for vice-captain Rishabh Pant and his dream to replicate the dynamic southpaw's play style following their record-breaking exploits on Day 3 of the third Test against England at Lord's.
Sai Sudharsan pulled off a jaw-dropping catch on Day 2.
Virat Kohli's stroke-filled 91-ball 93 set up India's win in the series opener against New Zealand.
TV commentators Graeme Smith and Scott Styris remarked that such discussions should occur privately, not in front of the broadcasting cameras.
Rahul was given a test on collecting the ball outside off-stump, and the 31-year-old also managed to crouch for the entire duration of training without much discomfort.
The short turnaround time from the high of winning a controversy-marred Asia Cup notwithstanding, Shubman Gill's India will be outright favourites against a struggling and under-strength West Indies when the teams face-off on a green-top in the first Test in Ahmedabad on Thursday.
'I don't think the target was a lot. It was just 10 over-par. We bowled well in patches. Just made a few mistakes.'
Indian Test skipper Shubman Gill spoke on the team dinner hosted by head coach Gautam Gambhir on Thursday
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Kaif also questioned Gill's tactical choices on debut, especially the call to leave out Kuldeep -- a bowler capable of turning games in Australia's own backyard.
Entertainers on the field, K L Rahul and Jasprit Bumrah enthralled fans off the pitch.
K L Rahul eases concerns surrounding his fitness ahead of the first Test against Australia, starting in Perth, by batting comfortably in the nets on Sunday.
India captain Rohit Sharma has climbed to second place in the ICC men's ODI batting rankings, closing in on top-ranked Shubman Gill.
KL Rahul also indulged in Mangalore's famous Pabba's gadbad ice-cream during his visit.
'...the guys who are just part of Test cricket, I think for them to prepare and play domestic cricket is very, very important.'
On a surface offering little assistance for bowlers, South Africa's top order had frittered away starts but number seven Muthusamy marshalled a lower-order surge with a composed 109.
The Indian selectors will be announcing the team for the three-match ODI series against the Black Caps, starting January 11 in Vadodara and there have been speculations about whether Pant can hold on to his place in the squad.
'A further assessment will be conducted at the conclusion of the series.'
The cricketing ecosystem has learned to survive the prolonged absence of Kohli and Rohit -- at least in two formats -- in this interim period.
Kuldeep was instrumental to India's success at the Asia Cup, topping the wicket-taking chart with 17 wickets. Chopra explained the rationale behind dropping the left-arm wrist spinner, attributing it to batting depth.
With the pitch here not assisting the spinners so far a great deal, Rampaul expressed his surprise.
IMAGES from the IPL match between Delhi Capitals and Rajasthan Royals played in New Delhi on Wednesday.
Jurel and Nitish Kumar Reddy then safely saw off the bowling to stay 73 for 5 till close of play, taking a 11-run lead.
Nitish flaunted his six-hitting muscle in the first innings and showed signs of living up to the belief that the former Indian skipper has exuded in him. After being put to bat by Australia, rain interrupted the play on four instances, and the Indian team toiled for rhythm as well as runs.
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Rahul's decision to bowl after winning the toss backfired quickly as Sunil Narine went all guns blazing against the LSG bowling unit.
