Official Quant thread for CAT 2013

@Tiws said:
In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the runs scored by Ram is(A) 88 (B) 96 (C) 102 (D) 112 (E) None of the above
96
@Tiws said:
In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the runs scored by Ram is(A) 88 (B) 96 (C) 102 (D) 112 (E) None of the above
96
@Tiws said:
In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the runs scored by Ram is

(A) 88 (B) 96 (C) 102 (D) 112 (E) None of the above
96
@Tiws said:
In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the runs scored by Ram is(A) 88 (B) 96 (C) 102 (D) 112 (E) None of the above
(B) 96

R + S = 26W
B = W + 8
W + 26W + W + 8 = 232
28W = 224
W = 8
R + S = 208
6x + 7x = 208
x = 16
R = 6x = 96
Let X = {a, b, c} and Y = {l, m}. Consider the following four subsets of X — Y. F1 = {(a, l), (a, m), (b, l), (c, m)} F2 = {(a, l), (b, l), (c, l)} F3 = {(a, l), (b, m), (c, m)} F4 = {(a, l), (b, m)}
Which one, amongst the choices given below, is a representation of functions from X to Y?
(A) F1, F2 and F3 (B) F2, F3 and F4 (C) F2 and F3 (D) F3 and F4 (E) None of the above
@Tiws said:
In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the runs scored by Ram is(A) 88 (B) 96 (C) 102 (D) 112 (E) None of the above
R+S =6x+7x= 13x= 26w
Byes= w +8

total = 26w + w+ w+8 =232
w= 8
13x= 26 x 8

x = 16
hence 6x = 96
@Tiws said:
In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the runs scored by Ram is(A) 88 (B) 96 (C) 102 (D) 112 (E) None of the above
R+S =6x+7x= 13x= 26w
Byes= w +8

total = 26w + w+ w+8 =232
w= 8
13x= 26 x 8

x = 16
hence 6x = 96
@Tiws said:
In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the runs scored by Ram is(A) 88 (B) 96 (C) 102 (D) 112 (E) None of the above
R+S =6x+7x= 13x= 26w
Byes= w +8

total = 26w + w+ w+8 =232
w= 8
13x= 26 x 8

x = 16
hence 6x = 96
Each of 216 small identical cubes are painted blue on all faces and all these cubes are arranged to form a large cube. Now all the faces of the large cube are painted pink.
How many small cubes have only one colour on them?

125
96
64
81
Two sticks of different lengths burn at different rates. Each stick burns exactly for half an hour. Which of the following time intervals can we measure?
5 mins
7.5 mins
8 mins
9 mins
@Cat.Aspirant123 said:
Each of 216 small identical cubes are painted blue on all faces and all these cubes are arranged to form a large cube. Now all the faces of the large cube are painted pink.How many small cubes have only one colour on them?125966481
64?
@audiq7 said:
64?
steps
@Cat.Aspirant123 steps koi nai hai bhai... 6*6*6 ka cube hoga.. agar outermost layer chhod do to 4*4*4 ka cube bacha.. so 64
@Cat.Aspirant123 said:
Two sticks of different lengths burn at different rates. Each stick burns exactly for half an hour. Which of the following time intervals can we measure?5 mins7.5 mins8 mins9 mins
7.5?
@Cat.Aspirant123 said:
Two sticks of different lengths burn at different rates. Each stick burns exactly for half an hour. Which of the following time intervals can we measure?5 mins7.5 mins8 mins9 mins
7.5 min
@Cat.Aspirant123 said:
Each of 216 small identical cubes are painted blue on all faces and all these cubes are arranged to form a large cube. Now all the faces of the large cube are painted pink.
How many small cubes have only one colour on them?

125
96
64
81
64..?
@Cat.Aspirant123 said:
Each of 216 small identical cubes are painted blue on all faces and all these cubes are arranged to form a large cube. Now all the faces of the large cube are painted pink.
How many small cubes have only one colour on them?

125
96
64
81
64.!!
@Cat.Aspirant123 said:
Each of 216 small identical cubes are painted blue on all faces and all these cubes are arranged to form a large cube. Now all the faces of the large cube are painted pink.How many small cubes have only one colour on them?125966481
64

216 = 6^3
Number of cubes with one colour on them = (6-2)^3 = 64
Please solve this...

@shattereddream said:
7.5 min
explain ?