Official Quant thread for CAT 2013

MBA CAT 2024
29286
@viewpt said:
Q: if 653xy is divisible by 80 then the value of x+y is:???
x+y=6+0=6??

80=8*10

653x0

53x shud be divisible by 8

so x=6

so x+y=6?
29287
@Marchex said:
ABC is a 3 digit number with distinct digits. If it is known that 3 — ABC is equal to another 3 digit number CCC, then what is the value of B?(a) 1 (b) 3 (c) 5 (d) 8
8
29288
@Marchex said:
ABC is a 3 digit number with distinct digits. If it is known that 3 — ABC is equal to another 3 digit number CCC, then what is the value of B?(a) 1 (b) 3 (c) 5 (d) 8
8??

3*ABC=CCC

C can be 1,5 or 0,

0 not possible
With 111 ABC becomes 2 digit number which is nt reqd

with 555 ,,ABC becomes 185

so B=8
29289
@Marchex said:
ABC is a 3 digit number with distinct digits. If it is known that 3 — ABC is equal to another 3 digit number CCC, then what is the value of B?(a) 1 (b) 3 (c) 5 (d) 8
8
29290
Bhola starts walking towards the temple from his house. After covering one-fourth of the total distance to the temple he doubles his original speed. When he has walked half the total distance he increases his speed to three times his original speed and walks for another one-fourth of the total distance at this speed. For the remaining distance he increases his speed to four times his original speed. While coming back to his house he covers the entire distance at his original speed. If Bhola walks for 2 hours and 26 minutes in all, then for how much time does he walk at thrice his original speed?
(a) 24 min (b) 8 min (c) 6 min (d) Cannot be determined
29291
@Marchex said:
ABC is a 3 digit number with distinct digits. If it is known that 3 — ABC is equal to another 3 digit number CCC, then what is the value of B?(a) 1 (b) 3 (c) 5 (d) 8
3ABC=C*111
ABC=C*37

ABC is a multiple of 37

7*C sould end in C
C can be 1,5,0
C=1 is not possible

C=5
ABC=555/3=185

C=0 not possible
B=8
29292
If the expression x + 809436 * 809438 be a perfect square , then the value of x ??
29293
@Marchex said:
ABC is a 3 digit number with distinct digits. If it is known that 3 — ABC is equal to another 3 digit number CCC, then what is the value of B?(a) 1 (b) 3 (c) 5 (d) 8
d.8?
29294
@Marchex said:
Bhola starts walking towards the temple from his house. After covering one-fourth of the total distance to the temple he doubles his original speed. When he has walked half the total distance he increases his speed to three times his original speed and walks for another one-fourth of the total distance at this speed. For the remaining distance he increases his speed to four times his original speed. While coming back to his house he covers the entire distance at his original speed. If Bhola walks for 2 hours and 26 minutes in all, then for how much time does he walk at thrice his original speed?(a) 24 min (b) 8 min (c) 6 min (d) Cannot be determined
8 min hai kya??

d/4x + d/8x + d/12x + d/16x + d/x = 146 mins


d/x=96 mins

time taken when he walks thrice his speed =d/12x= 96/12 = 8??
29295
@viewpt said:
If the expression x + 809436 * 809438 be a perfect square , then the value of x ??
1?
29296
@Marchex said:
Bhola starts walking towards the temple from his house. After covering one-fourth of the total distance to the temple he doubles his original speed. When he has walked half the total distance he increases his speed to three times his original speed and walks for another one-fourth of the total distance at this speed. For the remaining distance he increases his speed to four times his original speed. While coming back to his house he covers the entire distance at his original speed. If Bhola walks for 2 hours and 26 minutes in all, then for how much time does he walk at thrice his original speed?(a) 24 min (b) 8 min (c) 6 min (d) Cannot be determined
D/4v + D/8v +D/12v+D/16v+ D/v=2+26/60 = 73/30
D/v(73/48)=73/30
D/v = 48/30
D/12v =4/30=4*60/30 minutes=8 mins


29297
@viewpt said:
If the expression x + 809436 * 809438 be a perfect square , then the value of x ??
x+809436*809438
x+(8094367-1)(8094367+1)
x+8094367^2-1^2
x=1
29298
@Marchex said:
Bhola starts walking towards the temple from his house. After covering one-fourth of the total distance to the temple he doubles his original speed. When he has walked half the total distance he increases his speed to three times his original speed and walks for another one-fourth of the total distance at this speed. For the remaining distance he increases his speed to four times his original speed. While coming back to his house he covers the entire distance at his original speed. If Bhola walks for 2 hours and 26 minutes in all, then for how much time does he walk at thrice his original speed?(a) 24 min (b) 8 min (c) 6 min (d) Cannot be determined
OA) b i.e. 8
29299
@Marchex said:
Bhola starts walking towards the temple from his house. After covering one-fourth of the total distance to the temple he doubles his original speed. When he has walked half the total distance he increases his speed to three times his original speed and walks for another one-fourth of the total distance at this speed. For the remaining distance he increases his speed to four times his original speed. While coming back to his house he covers the entire distance at his original speed. If Bhola walks for 2 hours and 26 minutes in all, then for how much time does he walk at thrice his original speed?(a) 24 min (b) 8 min (c) 6 min (d) Cannot be determined
8 min...
4t + t + t/2 + t/3 +t/4 = 2hr 26 min
29300
Mr. and Mrs. Choudhari have two sons and a daughter. The daughter is the youngest among the three children. Mrs. Choudhari is five years younger than Mr. Choudhari. The ages of the children form an Arithmetic Progression whose common difference is 1. The sum of the ages of the male members is 92 while that of the female members of the family is 67. What is the sum of the ages of Mr. and Mrs. Choudhari?
(a) 102 (b) 104 (c) 108 (d) None of these
29301
@Marchex said:
Mr. and Mrs. Choudhari have two sons and a daughter. The daughter is the youngest among the three children. Mrs. Choudhari is five years younger than Mr. Choudhari. The ages of the children form an Arithmetic Progression whose common difference is 1. The sum of the ages of the male members is 92 while that of the female members of the family is 67. What is the sum of the ages of Mr. and Mrs. Choudhari?(a) 102 (b) 104 (c) 108 (d) None of these
d,s1,s2
h,w
h=w+5

s1=d+1
s2=d+2

d+1+d+2+w+5=92
w+2d=84
w+d=67

d=17
w=50
105??
29302
Five equi-spaced points labeled 1, 2, 3, 4, 5 are marked in the same order in clockwise direction on the circumference of a circle. An ant is moving on the circumference of this circle in the clockwise direction. If the ant is at an odd numbered point it shifts one point ahead and if it is at an even numbered point it shifts two points ahead. If the ant starts from point 5, then where would it be after 2010 such movements?
(a) 1 (b) 3 (c) 5 (d) None of these
29303
@Marchex

Option (d)

Let one son = S1, second son=S2, Daughter=D
Then, first son=S1=D+1
second son= S2=D+2

(As they are in AP, with Daughter being the initial term)

Now,
Mr-Mrs=5
Mr+S1+S2=97
Mrs+D=67

Solving the above one gets D=17, Mrs=50, Mr=55
hence Mr+Mrs=105 !!

29304
Solve This
29305
@Marchex said:
Five equi-spaced points labeled 1, 2, 3, 4, 5 are marked in the same order in clockwise direction on the circumference of a circle. An ant is moving on the circumference of this circle in the clockwise direction. If the ant is at an odd numbered point it shifts one point ahead and if it is at an even numbered point it shifts two points ahead. If the ant starts from point 5, then where would it be after 2010 such movements?(a) 1 (b) 3 (c) 5 (d) None of these
none. at point 2?