Official Quant thread for CAT 2013

@Cat.Aspirant123 8181?
In a bank the account numbers are all 8 digit numbers, and they all start with the digit 2. So, an account number can be represented as 2x1x2x3x4x5x6x7. An account number is considered to be a 'magic' number if x1x2x3 is exactly the same as x4x5x6 or x5x6x7 or both. xi can take values from 0 to 9, but 2 followed by seven 0s is not a valid account number. What is the maximum possible number of customers having a 'magic' account number?

A. 9989
B. 19980
C. 19989
D. 19999
E. 19990
@surajsrivastav said:
In a bank the account numbers are all 8 digit numbers, and they all start with the digit 2. So, an account number can be represented as 2x1x2x3x4x5x6x7. An account number is considered to be a 'magic' number if x1x2x3 is exactly the same as x4x5x6 or x5x6x7 or both. xi can take values from 0 to 9, but 2 followed by seven 0s is not a valid account number. What is the maximum possible number of customers having a 'magic' account number?A. 9989 B. 19980 C. 19989 D. 19999 E. 19990
9999+9999-9=19989
@krum said:
9999+9999-9=19989
tune answer yad karke rkhe hai na..
@krum said:
9999+9999-9=19989
Bta kaise kiya???
Prof. Bee noticed something peculiar while entering the quiz marks of his five students into a spreadsheet. The spreadsheet was programmed to calculate the average after each score was entered. Prof. Bee entered the marks in a random order and noticed that after each mark was entered, the average was always an integer. In ascending order, the marks of the students were 71, 76, 80, 82 and 91. What were the fourth and fifth marks that Prof. Bee entered?

A. 71 and 82
B. 71 and 76
C. 71 and 80
D. 76 and 80
E. 91 and 80
@surajsrivastav said:
Prof. Bee noticed something peculiar while entering the quiz marks of his five students into a spreadsheet. The spreadsheet was programmed to calculate the average after each score was entered. Prof. Bee entered the marks in a random order and noticed that after each mark was entered, the average was always an integer. In ascending order, the marks of the students were 71, 76, 80, 82 and 91. What were the fourth and fifth marks that Prof. Bee entered?A. 71 and 82 B. 71 and 76 C. 71 and 80 D. 76 and 80 E. 91 and 80
c?
@surajsrivastav c
@surajsrivastav pahla 76 phir 82
phir 91 phir 71 phir 80
@surajsrivastav said:
tune answer yad karke rkhe hai na..
@surajsrivastav said:
Bta kaise kiya???
1x2x3 can be chosen in 10*10*10 ways = 1000
so 4x5x6 is fixed
7 can take 10 values , so total 10000

but one of these is 2 0 0 0 0 0 0 0 which is invalid , so 10000-1 = 9999

same with 5x6x7 - 9999

when both , such cases are 2 1 1 1 1 1 1 1, 2 2 2 2 2 2 2 2 ,......, 2 9 9 9 9 9 9 9

but we have already counted this 1 twice, so 9999*2 - 9 = 19989
The micromanometer in a certain factory can
measure the pressure inside the gas chamber
from 1 unit to 999999 units. Lately this
instrument has not been working properly. The
problem with the instrument is that it always
skips the digit 5 and moves directly from 4 to 6.
What is the actual pressure inside the gas
chamber if the micromanometer displays
0030l6? (3 marks)
(1) 2201 (2) 2202 (3) 2600
(4) 2960 (5) None of the above options
How many two digit numbers are multiples of 3 such that the number obtained by reversing the
digits is also a two digit number that is a multiple of 3?
a) 33 b) 30 c) 27 d) 24
e) None of these
@Cat.Aspirant123 27 honge 30 toh 3 ke multiple hai aur 30,60,90 nikal gaye
@sauravd2001 said:
@Cat.Aspirant123 27 honge 30 toh 3 ke multiple hai aur 30,60,90 nikal gaye
nah samjha ?
@surajsrivastav said:
Mast q..Consider a square ABCD of side 60 cm. It contains arcs BD and AC drawn with centres at A and D respectively. A circle is drawn such that it is tangent to side AB, and the arcs BD and AC. What is the radius of the circle?A. 9 cm B. 10 cm C. 12 cm D. 15 cm E. None of the above
@Cat.Aspirant123 said:
How many two digit numbers are multiples of 3 such that the number obtained by reversing thedigits is also a two digit number that is a multiple of 3?a) 33 b) 30 c) 27 d) 24e) None of these
all 2 digit multiples of 3 except those ending with 0 => 30 - 3 = 27
In a room there are 7 persons. The chance that 2 of them were born on the same day of the week is?
@Gaul said:
In a room there are 7 persons. The chance that 2 of them were born on the same day of the week is?
7c2*7c1*6*5*4*3*2/7^7

= 3*6!/7^5
@Gaul 2160/7^5
@sauravd2001 said:
The micromanometer in a certain factory can measure the pressure inside the gas chamber from 1 unit to 999999 units. Lately this instrument has not been working properly. The problem with the instrument is that it always skips the digit 5 and moves directly from 4 to 6. What is the actual pressure inside the gas chamber if the micromanometer displays 0030l6? (3 marks)(1) 2201 (2) 2202 (3) 2600(4) 2960 (5) None of the above options
3016

total skips = (19*9 + 100)*3 + 2 = 815

3016-815 = 2201


GN