Seeing stars!

Black background with stars

Yes, I am seeing stars in broad daylight! I wasn't until Sudhir arrived. But he came and forced a piece of paper into my hands and demanded that I solve the problem written on it. I could see nothing on the piece of paper except a number of stars. This is what was written on it: ** x ** - * = 120.

"What is this? I can seen five stars, an "x", a dash, an "equal" sign, and the number 120. What is there to solve?" I asked.

"Well, the stars represent digits; each star is a digit ranging from 0 to 9. So, ** is a two digit number, while * is a single-digit number. The "x" is a multiplication symbol, the dash is a minus symbol, and the "equal" sign, of course, is the "equal to" symbol. There you are, go ahead and solve it," Sudhir replied. And, yes, the two-digit numbers don't have a leading zero; for instance, you can't write 9 as 09.

"So, what you have is a two-digit number multiplied by a two-digit number minus a single-digit number = 120," he explained. "And, yes, there may be more than one answer," he said.

These stars are making my head spin. Will you help me solve it?






Click here for the solution


Some useful links for
your career:


  • Union Public Service Commission - www.upsc.gov.in
  • IIT-Kharagpur - www.iitkgp.ac.in
  • Indian Statistical Institute - www.isical.ac.in
  • Indian Institute of Technology Madras - www.iitm.ac.in
  • Indian Institute of Management, Ahmedabad - www.iimahd.ernet.in
  • Indian Institute of Mass Commission - www.iimc.nic.in
  • IIT Bombay - www.iitb.ac.in
  • Indian School of Mines, Dhanbad - www.ismdhanbad.ac.in
  • Birla Institute of Technology, Ranchi - www.bitmesra.ac.in
  • Central Institute of Fisheries Nautical and Engineering Training - www.cifnet.nic.in
  • Indian Institute of Information Technology, Allahabad (Deemed University) - www.iiita.ac.in
  • Central Marine Fisheries Research Institute, Kochi - www.cmfri.com
  • Tata Institute of Social Sciences, Mumbai - www.tiss.edu