Official Quant thread for CAT 2013

MBA CAT 2024
10241
@sujamait said:
aisa kuch nhn hai @vijay_chandola share logic...galat ho sakta hai mera bhi...
total number of cases are 2^9
Center square will always be black. (rotation)

Then I considered the the squares edges, and on corners distinctively.
check the squares that are on edges.
All black =1 case
1 white, 3 black=4 cases.
2 white, 2 black=2 cases. (they have to be opposite. So, only 2)

Similar is the case with the corners
so favorable cases=7*7=49
10242
what will be the next term in-32,14.23,7,5.2,12.03,?
10243
what is the largest set of consecutive numbers that is equal to 1000 when expressed as the sum of all its terms? (Including nagetive terms)
10244
@Aman.Malhotra said:
what is the largest set of consecutive numbers that is equal to 1000 when expressed as the sum of all its terms? (Including nagetive terms)
-999 + (-998) + (-997)......... + 997 + 998 + 999 + 1000 = 1000

number of terms = 2000
10245
@Aman.Malhotra said:
what is the largest set of consecutive numbers that is equal to 1000 when expressed as the sum of all its terms? (Including nagetive terms)
-999 to 1000 ? :/
@jain4444
Bhai woh 3*3 wale ka OA ?
10246

Difficulty: Sitter
What is the sum of the digits of the highest 2 digit prime number that divides 200C100.


10247

Q2. Which of the following quadrilaterals can inscibe a circle?
1. AB= 15 BC =8 CD= 5 AD= 12
2. AB= 2.5 BC =8 CD= 9 AD= 4
3. AB= 56 BC =83 CD= 60 AD= 70
4. AB= 3 BC =4 CD= 5 AD= 5

10248
I have 40 litres of 75% milk solution, i replace 4 litres solution with 4 litres of water, then i replace 5 litres solution with 5 litres of water,again i replace 6 litres solution with 6 litres of water.what is the concentration of milk in the resulting solution.

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member?

1) 52 2) 36 3) 40 4) 38 5) None of these

dont hav OAs just solve and enjoy.
10249
@anantn said:
Difficulty: SitterWhat is the sum of the digits of the highest 2 digit prime number that divides 200C100.
97 i guess..16
@anantn said:
Q2. Which of the following quadrilaterals can inscibe a circle?1. AB= 15 BC =8 CD= 5 AD= 122. AB= 2.5 BC =8 CD= 9 AD= 43. AB= 56 BC =83 CD= 60 AD= 704. AB= 3 BC =4 CD= 5 AD= 5

guess option 1

10250

97 is wrong. expand 200c100 and you'll know why .

Option 1 for q2 is right.

10251

1) 50.20%


2) 40
10252
@sujamait 1 50.20%
2 40
10253
Remainder of (173*261)/13 + (248*249*250)/15 =???
10254

Difficulty: very difficult
q3: There are 7 different classes that are held in a day, to be held on 7 days of the week, and there 10 students in the class who attend(or not attend) any class in any way. How many different such student combinations are possible for the entire week.

10255
Remainder of (51^203)/7 = ??
10256

tmohan02: 4?

10257
@tmohan02 4

51^203
converted to 2^203 7=6

euler of 7=6

2^(198+5)

remainder with 2^5
remainder with 32
=4
10258
@tmohan02 said:
Remainder of (51^203)/7 = ??
4..
10259

4 for the previous one and the second one as well

10260
@tmohan02 said:
Remainder of (51^203)/7 = ??
4?

51^203 mod 7
= 2^203 mod 7
= 2^(3*67 + 2) mod 7
= 1 * 2^2 mod 7
= 4 mod 7