Official Quant thread for CAT 2013

MBA CAT 2024
23227

Consider a sequence −6, −12, 48, 24, −30, −36, 42 …

If sum of the first n terms of the sequence is 132, then the value of n is?

(A) 11 (B) 13 (C) 18 (D) 22 (E) 24
23228
@Faruq said:
A man purchased 129kgs of sugar and was forced to sell it a loss equal to the selling price of 30kg of sugar. If he purchased each kilo of sugar at Rs. 15, then at what price did he sell each kilogram?a. 11.5 b. 13.7 c. 14.28 d. 12.1
Loss = CP - SP
=> 30SP = 129*15 - 129SP
=> SP = 129*15/159 = 12.1 ?
23229
A shopkeeper allows two successive discounts of 10% and 20%... if he sells an article for Rs. 540, the marked price of the article is:
a. 750 b. 720 c. 800 d. 810


After the addition of 35 liters of water to a can of diluted milk, the concentration of milk in the can becomes 30%. Now, further 40 liters of water is added to the can and the concentration of milk in the can gets reduced by 10 percentage points. How many more liters of water must be added to the can now such that the concentration of milk in the can becomes 8%?
(a)160
(b) 180
(c) 175
(d) 200
23230
Fifty white marbles are placed in a row. What is the minimum number of black marbles that need to
be placed between the white marbles such that each marble (white or black) has at least one
neighbour of the other colour?

(a) 24 (b) 49 (c) 25 (d) 48
23231
@Faruq said:
A shopkeeper allows two successive discounts of 10% and 20%... if he sells an article for Rs. 540, the marked price of the article is:a. 750 b. 720 c. 800 d. 810
MP = 540/0.9*0.8 = 540/0.72 = 54000/72 = Rs. 750. [Option A]
23232
How many different terms does the product (a + b + c+ d + e + f)(c + d + e + f + g) have?
11
30
25
24
29
23233
Three men toss a coin in succession for a prize to be given to the
person who first obtains a head. What is third man chance of winning
the prize?
1/8
7/8
1/7
1/2
23234
Ten people A, B, C, D, E, F, G, H, I and J attend a conference. F wants to speak before A, B wants to speak after A, C wants to speak after B and D wants to speak after C. In how many distinct orders can the 10 people speak?
10!
10c5
5! 10c5
NONE OF THESE
23235
@Faruq said:
A shopkeeper allows two successive discounts of 10% and 20%... if he sells an article for Rs. 540, the marked price of the article is:a. 750 b. 720 c. 800 d. 810After the addition of 35 liters of water to a can of diluted milk, the concentration of milk in the can becomes 30%. Now, further 40 liters of water is added to the can and the concentration of milk in the can gets reduced by 10 percentage points. How many more liters of water must be added to the can now such that the concentration of milk in the can becomes 8%?(a)160(b) 180(c) 175(d) 200
750 and 180? trying orally...

regards
scrabbler
23236
Sanjog and Rahul took part in a two-day maths contest. At the end both had attempted questions worth 500 marks. Sanjog scored 160 out of 300 attempted on the first day and 140 out of 200 attempted on the second day, so his two-day success ratio was 3/5. Rahul's attempted figures were different from Sanjog's (but with the same two-day total). Rahul had a positive integer marks on each day. For each day Rahul's success ratio was less than Sanjog's. What is the largest possible two-day success ratio that Rahul could have achieved?


81/125
349/500
Cannot be determined
None of these
23237
Aryan and Nandini are siblings. They participated in two different competition i.e. swimming and wrestling respectively. Aryan participated in swimming and Nandini in wrestling. Both were awarded rank between 1 to 50 (including 1 and 50). What is the probability that difference between their ranks is not more than 10 rank?
9 / 25
17 / 40
40 / 100
3 / 10
23238
Answer the questions based on the following information.
A, B, and C are three numbers. Let
@(A,B) = Average of A and B
*(A,B) = Product of A and B
/(A,B) = A divided by BIf A = 2 and B = 4, the value of @ (/(*(A,B),B),A) would be


2
4
6
16
6
23239
21 straught lines. no 2 of which are parallel. no 3 of which are concurrent are drawn on a plane. into how many regions is the plane divided by the lines?

441
230
1024
264
232
23240
@sameersapre23 said:
Fifty white marbles are placed in a row. What is the minimum number of black marbles that need tobe placed between the white marbles such that each marble (white or black) has at least oneneighbour of the other colour?(a) 24 (b) 49 (c) 25 (d) 48
25? After 1st, 3rd, 5th etc white marble...

regards
scrabbler
23241
@sameersapre23 said:
Fifty white marbles are placed in a row. What is the minimum number of black marbles that need tobe placed between the white marbles such that each marble (white or black) has at least oneneighbour of the other colour?(a) 24 (b) 49 (c) 25 (d) 48
50 Marbles => 49 Spaces.

Thus, [ 49/2 ] = 25. where [ ] denotes greatest integer function.
23242
@sameersapre23 said:
How many different terms does the product (a + b + c+ d + e + f)(c + d + e + f + g) have?1130252429
24?

6*5 - 4C2 which are repeated twice...

regards
scrabbler
23243
@sameersapre23 said:
21 straught lines. no 2 of which are parallel. no 3 of which are concurrent are drawn on a plane. into how many regions is the plane divided by the lines?4412301024264232
232 ??
23244
@sameersapre23 said:
Three men toss a coin in succession for a prize to be given to the person who first obtains a head. What is third man chance of winning the prize?1/87/81/71/2
1/7....each round mein prob in ratio 4:2:1....sum to inf bhi aisa hi ratio mein hoga...

regards
scrabbler
23245
@sameersapre23 said:
How many different terms does the product (a + b + c+ d + e + f)(c + d + e + f + g) have?1130252429
6*5 = 30 - 6 = 24 Terms.
23246
@sameersapre23 said:
Ten people A, B, C, D, E, F, G, H, I and J attend a conference. F wants to speak before A, B wants to speak after A, C wants to speak after B and D wants to speak after C. In how many distinct orders can the 10 people speak?10!10c55! 10c5NONE OF THESE
5! 10C5??