which battle did this place witness during 1932 to 1945?
"Battle of Pasir Panjang", is one of the battles.
History of Singapore
Several fights by the Allied forces and volunteers of Singapore's population against the advancing Japanese, such as the Battle of Pasir Panjang, took place during this period. 
when did singapore became part of the british empire 1819 who settled in its ancient time during 1826 to 1867? Penang and Malacca
wiki:16127866
History of Singapore [SEP] 1942–1945: The Battle for Singapore and Japanese occupation
Several fights by the Allied forces and volunteers of Singapore's population against the advancing Japanese, such as the Battle of Pasir Panjang, took place during this period. However, with most of the defenses shattered and supplies exhausted, Lieutenant-General Arthur Percival surrendered the Allied forces in Singapore to General Tomoyuki Yamashita of the Imperial Japanese Army on Chinese New Year, 15 February 1942. About 130,000 Indian, Australian, and British troops became prisoners of war, many of whom would later be transported to Burma, Japan, Korea, or Manchuria for use as slave labour via prisoner transports known as "hell ships." The fall of Singapore was the largest surrender of British-led forces in history.