Official Quant thread for CAT 2013

@albiesriram said:
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takesdouble that of C to complete the same task. They are paired in groups of two each. One pair takes two- thirds the timeneeded by the second pair to complete the work. Which is the first pair?1. A, B 2. A, C 3. B, C 4. A, D
It's BC
@albiesriram said:
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takesdouble that of C to complete the same task. They are paired in groups of two each. One pair takes two- thirds the timeneeded by the second pair to complete the work. Which is the first pair?1. A, B 2. A, C 3. B, C 4. A, D
Efficiencies of A, B, C and D = 1/4, 1/8, 1/16, 1/32.

Option 4 - A, D

Proof => 1/8 + 1/16 = 3/16.
A and D => 1/4 + 1/32 = 9/32.

These are efficiencies. Time will be 16/3 and 32/9 where 32/9 = 2/3 of 16/3.
Thus, A and D will be the first pair. -- [Edited]
@albiesriram said:
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takesdouble that of C to complete the same task. They are paired in groups of two each. One pair takes two- thirds the timeneeded by the second pair to complete the work. Which is the first pair?1. A, B 2. A, C 3. B, C 4. A, D
A & D option 4) edited
@albiesriram said:
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takesdouble that of C to complete the same task. They are paired in groups of two each. One pair takes two- thirds the timeneeded by the second pair to complete the work. Which is the first pair?1. A, B 2. A, C 3. B, C 4. A, D
A,D ?
@albiesriram said:
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takesdouble that of C to complete the same task. They are paired in groups of two each. One pair takes two- thirds the timeneeded by the second pair to complete the work. Which is the first pair?1. A, B 2. A, C 3. B, C 4. A, D
B,C ?
@Estallar12 said:
Efficiencies of A, B, C and D = 1/4, 1/8, 1/16, 1/32.Option 3 - B and C Proof => 1/8 + 1/16 = 3/16.A and D => 1/4 + 1/32 = 9/32.3/16 = Two - thirds of 9/32.
@zuloo said:
b,c option 3)
OA D :(
@albiesriram said:
OA D
Oh :banghead: That was efficiency. Needed to take the inverse of that.

First pair then will be A and D. :|
@albiesriram said:
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takesdouble that of C to complete the same task. They are paired in groups of two each. One pair takes two- thirds the timeneeded by the second pair to complete the work. Which is the first pair?1. A, B 2. A, C 3. B, C 4. A, D
option d ? A,D

time taken by AD = 1/4 + 1/32 = 32/9
by BC = 1/8 + 1/16 = 16/3

32/9 = 2/3*16/3 ---> so AD
@Estallar12 said:
Oh That was efficiency. Needed to take the inverse of that.First pair then will be A and D.
First pair in terms of time taken,then why not B and C?
@albiesriram said:
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takesdouble that of C to complete the same task. They are paired in groups of two each. One pair takes two- thirds the timeneeded by the second pair to complete the work. Which is the first pair?1. A, B 2. A, C 3. B, C 4. A, D
W = 4a = 8b = 16c = 32d

Time taken by a and d together = 4*32/36 = 32/9
by b and c = 16*8/24 = 16/3
We can see that 16/3 *2/3 = 32/9

Option 4. A and D
@zuloo said:
kyun bhai first pair toh B&C; hi hoga.B & C: 1/8+1/16= 3/16A & D: 1/4+1/32= 9/32NOW 2/3*9/32= 3/16 HENCE PROVED.
SORRY BHAI chutiap ho gaya. theek hai. A&D; hi hoga.
@zuloo said:
kyun bhai first pair toh B&C; hi hoga.B & C: 1/8+1/16= 3/16A & D: 1/4+1/32= 9/32NOW 2/3*9/32= 3/16 HENCE PROVED.
sorry chutiap ho gaya. sahi hai A&D; HI HOGA.
@zuloo said:
kyun bhai first pair toh B&C; hi hoga.B & C: 1/8+1/16= 3/16A & D: 1/4+1/32= 9/32NOW 2/3*9/32= 3/16 HENCE PROVED.
bhai 3/16 and 9/32 efficiency hai not the time taken by them to complete the task

@Estallar12 said:
Oh That was efficiency. Needed to take the inverse of that.First pair then will be A and D.
same mistake .

@albiesriram said:
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takesdouble that of C to complete the same task. They are paired in groups of two each. One pair takes two- thirds the timeneeded by the second pair to complete the work. Which is the first pair?1. A, B 2. A, C 3. B, C 4. A, D
Time taken = 1:2:4:8Efficiency = 8:4:2:1
pairwise time taken = 2:3
pairwise efficiency = 3:2
hence 8+1:4+2
@albiesriram said:
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takesdouble that of C to complete the same task. They are paired in groups of two each. One pair takes two- thirds the timeneeded by the second pair to complete the work. Which is the first pair?1. A, B 2. A, C 3. B, C 4. A, D
Time taken = 1:2:4:8
Efficiency = 8:4:2:1
pairwise time taken = 2:3
pairwise efficiency = 3:2
hence 8+1:4+2
@albiesriram said:
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takesdouble that of C to complete the same task. They are paired in groups of two each. One pair takes two- thirds the timeneeded by the second pair to complete the work. Which is the first pair?1. A, B 2. A, C 3. B, C 4. A, D
Time taken = 1:2:4:8
Efficiency = 8:4:2:1
pairwise time taken = 2:3
pairwise efficiency = 3:2
hence 8+1:4+2
@zuloo said:
same mistake . chutiap ho gaya.
Control mere bhai control! 😛
From which step of the following process does the error begin?
Step 1 a = b i.e., let a = b
Step 2 aa = ab
Step 3 aa - bb = ab - bb
Step 4 (a + b) x (a - b) = b(a - b)
Step 5 a + b = b
Step 6 2a = a
Step 7 2 = 1
1. 3 2.1 3. 5 4. 6
@ScareCrow28 said:
Ye sab galtiyaan @scrabbler ki wajah se hori h Orally karne ke chakkar me sab galat hora hai..
Over time you will figure which to do orally and which not :mg: Better to do the mistakes in practice than to do them in the real thing!

regards
scrabbler