Tag: math & puzzles

How many numbers are there between 0 and 1000 which on division by 2, 4, 6, 8 leave remainders 1, 3, 5, 7 respectively?

A welder can finish job A and job C in 10 days and 20 days respectively. A blacksmith can finish job B and job C in 15 days and 10 days respectively. On the first day, two welders begin work on job A and a day later three blacksmiths begin work on job B. What is the least time required to complete all the three jobs?

‘X’ is the largest sum of rupees which can never be paid using any number of coins of denominations Rs.4, Rs.8, Rs.13 and Rs.18. What is the sum of the digits of ‘X’?

Fifty white marbles are placed in a row. What is the minimum number of black marbles that need to be placed between the white marbles such that each marble (white or black) has at least one neighbour of the other colour?

We can stand in awe of the pyramids while understanding the slave labour and misery that comprised their construction. Similarly, amid the politics and pain that engulf and sometimes threaten to ______professional sport, there is also a/an _____ that can take your breath away.

A. Fortunately, global wealth and technology allow us to better prepare for and respond to natural disasters. B. It does not necessarily mean that volcanoes and quakes are getting worse — but rather that there are more of us living in areas where we might be affected by a disaster, and we have more to lose. C. As global populations have grown and people have crowded into risk zones — like earthquake areas and flood plains — the toll of natural disasters has grown as well. D. According to the Center for Research on Epidemiology of Disasters, the number of catastrophic events has more than doubled since the 1980s. E. The Red Cross estimates that the economic damage from disasters rose fivefold, to $629 billion, from 1985 to 2005.

Kamla fasted on 1st, 3rd, 6th, 10th, 15th...... day of the year 2010 and she continued fasting in this pattern thereafter. Bimla fasted on 1st, 4th, 8th, 13th, 19th..... day of the year 2010 and maintained the pattern thereafter. When would they fast together again?

Anyone who supports the Telangana state has no chance of securing a majority in the Andhra Pradesh state legislature. Also, anyone who understands the nitty-gritty of regional development would not support carving out the state of Telangana. So, only someone who truly understands regional development would have any chance of securing a majority in the house. The reasoning in the above argument is flawed because

A sequence 192, 360, 576……. is formed by multiplying the corresponding terms of two different Arithmetic Progressions. What is the eighth term of the sequence?

A two digit number is divided by the sum of its digits. What is the maximum possible remainder?