Official Quant thread for CAT 2013

MBA CAT 2022
641
@Anivesh90 in case of perfect squares havin odd no. of factors??
+1 or -1 :P
642
@99_or_nothing said:
@krum what if the no. is perfect square and has odd no. of factors??
then [n/2]+1
643
@99_or_nothing said:
@Anivesh90 in case of perfect squares havin odd no. of factors??+1 or -1
[No. of fact/2]+1
[] denotes gif
644
Q > If the last digits of the products 1.2, 2.3, 3.4, ..., n(n+1) are added, the result is 2010. How many products are used?
645
@staaalinnn said:
Q > If the last digits of the products 1.2, 2.3, 3.4, ..., n(n+1) are added, the result is 2010. How many products are used?
1003?
646

@staaalinnn said:
Q > If the last digits of the products 1.2, 2.3, 3.4, ..., n(n+1) are added, the result is 2010. How many products are used?
1st 10 unit digits of products add upto 20

2+6+2+0+0+2+6+2+0+0= 20. This then repeats for every 10 numbers. 10 products give 20, so 1000 will give 2000. Remaining 10 can be obtained using the next three products. 1000 + 3

1003 (edited)
647
@staaalinnn said:
Q > If the last digits of the products 1.2, 2.3, 3.4, ..., n(n+1) are added, the result is 2010. How many products are used?
XAT Q :splat:
648
@Anivesh90 said:
1005?
@sauravd2001 said:
@Hypertexter said:
903 is it?
@gs4890 said:
XAT Q
I don't know the answer boss..please highlight ur process !!
649
@staaalinnn 1003
650
@staaalinnn the last digits are 2 6 2 0 0 2 6 2 0 0...
so 1003 terms..
651

2+6+2+0+0+2+6+2+0+0=20(10 pairs make 20)

so 1000 pairs make 2000 and add 3 pairs which make 10 more
1003 pairs make 2010
652

Yup bhai log .. @sauravd2001 , @Anivesh90 I got the answer too.. thanks anyways..

653

Q: If ropes are used to make a circle, square and equilateral triangle having equal area, which among it will be lengthiest rope? ()

654
@Hypertexter edit it or remove it...NDA
655
@Hypertexter waise it will be triangle..
656
@Hypertexter equlateral triangle
657

The price of Darjeeling tea (in Rs/Kg) is 100+0.1n on the nth day of 2007 (n = 1,2,.....100) and then remains constant. On the other hand the price of Ooty tea (in Rs/Kg) is 89+0.15n on the nth day of 2007(n = 1,2,.....365)

On which date in 2007 will their prices be equal?

1) May 21
2) April 11
3) May 20
4) June 30
658
@Anivesh90 said:
@Hypertexter edit it or remove it NDA
Edited. However, after all the slots it hardly causes any problem. Anyways, not going against NDA :)
659
@soumitrabengeri said:
The price of Darjeeling tea (in Rs/Kg) is 100+0.1n on the nth day of 2007 (n = 1,2,.....100) and then remains constant. On the other hand the price of Ooty tea (in Rs/Kg) is 89+0.15n on the nth day of 2007(n = 1,2,.....365)On which date in 2007 will their prices be equal?1) May 212) April 113) May 204) June 30
May 21?
660
@soumitrabengeri said:
The price of Darjeeling tea (in Rs/Kg) is 100+0.1n on the nth day of 2007 (n = 1,2,.....100) and then remains constant. On the other hand the price of Ooty tea (in Rs/Kg) is 89+0.15n on the nth day of 2007(n = 1,2,.....365)On which date in 2007 will their prices be equal?1) May 212) April 113) May 204) June 30
Its an AIMCAT question I suppose..