Official Quant thread for CAT 2013

@bodhi_vriksha said:
This method is the shortest for this problem Now try this one...Logrhythm is dating 9 girls simultaneously in his hometown, Ranchi. On the week leading to the Valentines Day he was unfortunately stuck in Gurgaon, so he went to the Sahara mall and collected 9 gift items from the Archie's shop. He attached name tags of each girl friend to each gift and then wrapped each gift with a wrapper. However, in haste Logrhythm pasted address labels on the wrappers and forgot to double check them. In how many ways could he have pasted the address labels so that at least three of his girl friends would get to know that they were being two-timed.Disclaimer: The problem is fictitious and has no resemblance to anyone living! Team BV - Vineet
simultaneously

itni toh life mein nahi kar paya

#forever_alone

this wld waise bhi same as dearrangment of 3+4+5+6+7+8+9 things ??
@bodhi_vriksha said:
This method is the shortest for this problem Now try this one...Logrhythm is dating 9 girls simultaneously in his hometown, Ranchi. On the week leading to the Valentines Day he was unfortunately stuck in Gurgaon, so he went to the Sahara mall and collected 9 gift items from the Archie's shop. He attached name tags of each girl friend to each gift and then wrapped each gift with a wrapper. However, in haste Logrhythm pasted address labels on the wrappers and forgot to double check them. In how many ways could he have pasted the address labels so that at least three of his girl friends would get to know that they were being two-timed.Disclaimer: The problem is fictitious and has no resemblance to anyone living! Team BV - Vineet
9! - 9C2
@Logrhythm said:
simultaneously itni toh life mein nahi kar paya#forever_alone this wld waise bhi same as dearrangment of 3+4+5+6+7+8+9 things ??
Or 9! - cases of 0, 1, 2....would be quicker I guess.

regards
scrabbler

What is the smallest positive integer which can be written as sum of two perfect squares in two ways?
@scrabbler said:
Or 9! - cases of 0, 1, 2....would be quicker I guess.regardsscrabbler
was abt to write that 😁

ekdum se strike kara jab solve kar raha tha paper pe (paper use karta hun na mein toh)
@amresh_maverick said:
What is the smallest positive integer which can be written as sum of two perfect squares in two ways?
65?

1, 8 and 4, 7

(Not rigorous, just saw this solution, didn't check smallest!)

Edit: If the numbers can be repeated, then 25 + 25 = 49 + 1 also fits.

regards
scrabbler

@scrabbler said:
65?1, 8 and 4, 7(Not rigorous, just saw this solution, didn't check smallest!)regardsscrabbler
what is the logic here ?
@amresh_maverick said:
What is the smallest positive integer which can be written as sum of two perfect squares in two ways?
65

just tried randomly

1 ke sath pair kara squares ko

1^2 + 8^2 = 65

uske baad

4^2 + 7^2 = 65




@amresh_maverick said:
What is the smallest positive integer which can be written as sum of two perfect squares in two ways?
65 ?
@amresh_maverick said:
what is the logic here ?
No logic, just TError.

Looked for some sums of squares, and checked if any of them could work in another combo. At first try looked only for distinct combos though....when I relaxed that, found ki 50 bhi satisfy karta hai.

regards
scrabbler

@amresh_maverick said:
What is the smallest positive integer which can be written as sum of two perfect squares in two ways?
65 and after that 85 😃

Q If in any decreasing arithmetic progression, Sum of all its terms except first term equals -36. Sum of all terms except last term equals Zero. Difference between 10th and 6th term equals -16. What will be the first term of this series ???

Ans ??????

@ananyboss said:
Q If in any decreasing arithmetic progression, Sum of all its terms except first term equals -36. Sum of all terms except last term equals Zero. Difference between 10th and 6th term equals -16. What will be the first term of this series ???Ans ??????
16 ?
@ananyboss said:
Q If in any decreasing arithmetic progression, Sum of all its terms except first term equals -36. Sum of all terms except last term equals Zero. Difference between 10th and 6th term equals -16. What will be the first term of this series ???Ans ??????
16???
@heylady
@ananyboss 16
@amresh_maverick said:
What is the smallest positive integer which can be written as sum of two perfect squares in two ways?
65 only
@albiesriram none of these ans should be +/- 2 ??
@amresh_maverick said:
Find the remainder when 35! is divided by (15!)(16!). logic ?
Zero
@ananyboss said:
Q If in any decreasing arithmetic progression, Sum of all its terms except first term equals -36. Sum of all terms except last term equals Zero. Difference between 10th and 6th term equals -16. What will be the first term of this series ???Ans ??????
its 16