TESTfunda - CAT Question of the Day 11-Aug-12

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Testfunda
11-Aug-12
CAT Question of the Day
Let n be a positive integer. Let k be the number which needs to be subtracted from n to get the nearest perfect square less than or equal to n and let l be the number which needs to be added to n to get the nearest perfect square more than or equal to n.

If (nkl) has p number of factors then which of the following is definitely true?
OPTIONS
 
 1)p must be a prime
 2)p is square of an odd number
 3)p2 is of (4k + 1) type
 4)None of the above
Tip of the Day
Make it a point to be abreast of current affairs while preparing for GD/PI – read one daily newspaper with the business section, and if possible a business newspaper as well.
Last year's Question of the day (10-Aug-11)
Vishal went to a shop to buy a mobile phone. He chose one and the shopkeeper told him that the basic price of the phone is Rs. 4,200. The shopkeeper also said that he would have to pay VAT at the rate of 12%, tax A at the rate of 6% and tax B at the rate of 7%. The shopkeeper also offered him a discount of 5%. Now, Vishal is puzzled as to in what order should he add the taxes and subtract the discount so that his bill is minimized in the following scenarios?

a) The taxes/discount are both applied on the basic price i.e. on Rs. 4,200.

b) The taxes/discount are applied on the price after adding/subtracting the tax/discount till each point.
OPTIONS
 
 1)In a, the order does not matter. In b, first apply 5% discount, then the 6%, 7% and 12% taxes respectively.
 2)In a, the order does not matter. In b, first apply the 12%, 7% and 6% tax and finally the 5% discount.
 3)In a, apply the discount first and the taxes in any order, later. In b, the order does not matter.
 4)The order does not matter in either case.
 5)In a, the order does not matter. In b, first apply the 6%, 7% and then 12% tax in that order followed by the 5% discount.
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