TESTfunda - CAT Question of the Day 29-May-12

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Testfunda
29-May-12
CAT Question of the Day
Let abc be the three digit number. If bca + bac + cab + cba + acb = 2982, then find a × b × c.
OPTIONS
 
 1)48
 2)24
 3)96
 4)None of the above
Tip of the Day
If two numbers a and b, leave a remainder of ra and rb respectively, when divided by a number x, then the remainder when their product ab is divided by x is the same as the remainder when rarb is divided by x.
Last year's Question of the day (28-May-11)
There was a theft at a jewellery shop and all the gold coins went missing. The shopkeeper told the police that he did not know the exact number of gold coins in the shop. He also added that when he paired them up in groups of two, exactly one was left unpaired. Similarly, when he paired them up in groups of 3, 4, 5 or 6, exactly one was left unpaired. But when he paired them up in groups of 7, none was left unpaired. What is the minimum number of coins that could have been there at the shop?
OPTIONS
 
 1)4321
 2)301
 3)721
 4)91
 5)None of these
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