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Official Quant Thread for CAT 2012 [Part 1] Quantitative

Hi puys,
CAT 2011 season is finally over [smiley] [smiley]
Let start a new season of Quants thread for CAT 2012.. [smiley] [smiley]
Here are few links of Quants thread for CAT 2011 season...
Part-8
http://www.pagalguy.com/forum/quanti...at-2011-a.html (Official Quant Threa...
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Page 275 of 491
The income of a is rs 15000 and is equal to the expenditure of b,if the ratio of the savings of a to the savings of b is 2:1 ,which of the following statements is definitely true?
1)the combined income of a and b is more than rs 45000
2)the combined expenditure of a and b is not less than 20000
3)A's expenditure added to twice of b's income is equal to rs 45000
4)b's expenditure added to twice of a 's income is equal to rs 30000

p and q are the centre of two circles intersecting at r and s .if pr=26cm ,qr=30cm and pq=28 cm
find the length (in cms) of the common chord of the two circles
1)40 2)42 3)48 4)50
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Page 276 of 491