Official Quant thread for CAT 2013

@vijay_chandola said:
202*20002 = 4040404 (7 digits)
4040404*200000002 = 80808... 15 digits
80808... 15 digits* 2020202.. = 1616161616..

Generalize it. Total digits would be 64 and number will be of 32323232.... type.
Thanks buddy...
@vijay_chandola said:
N = 32323232.... 32 times. ห†ยด sum of the digits = (3+2)*32 = 160
is this sort mthod?
@hari_bang said:
is this sort mthod?
ans to iska 160 hi hai??
In how many ways can three persons divide among themselves the
letters EVER ESTEEMED?
ans is-5849
provide solution...:)
@hari_bang said:
In how many ways can three persons divide among themselves theletters EVER ESTEEMED?ans is-5849provide solution...
all the letters used??
@pratyush9811 said:
all the letters used??
yaaa:)
No condition:)
@hari_bang something is missing because dvision of indentical items among people is not helping or even getting close to the answer.
P.S both the conditions 1. each getting 0 or more 2. each getting at least 1
@hari_bang said:
how many nos are perfect square in dis format xxyy??any sort trck?
Look from 1 to 25 their is only one number that will have yy ie 12^2 = 144
check with three numbers ie 38^2 , 62^2 & 88^2
Hence your answer will be 88^2= 7744

A biscuit manufacturing company, Critannia, sold its two brands 'Bourbon' and '30-70' in May 2012.
Each packet of 'Bourbon' was sold at 20% loss whereas each packet of '30-70' was sold at 30% profit.
In the whole transaction, there was neither profit nor loss. If it had sold each packet of 'Bourbon' at 10%
profit and that of '30-70' at 25% profit, the company would have made a profit of 0.8 million. If the ratio
of number of packets sold of Bourbon to that of '30-70' was 6 : 5, what was the difference between the
cost price of per packet of Bourbon and '30-70'?
1
A. 0 B. 1 C. 2 D. 2.5 E. Cannot be determined


One of the sides of a right angled triangle is 39 cm. The length of the altitude drawn from the vertex which
contains right angle is x cm and the length of its circum radius is y cm. If length (in cm) of each of the sides of
the triangle is an integer not more than 48, then find the numerical value of x ร— y.
1
A. 240 B. 260 C. 270 D. 364 E. Cannot be determined

@pratyush9811 said:
@hari_bang something is missing because dvision of indentical items among people is not helping or even getting close to the answer. P.S both the conditions 1. each getting 0 or more 2. each getting at least 1
koi nhi ye bta do 5849 kaise ayega?
bcoz tht is one of d option....

@sujamait
1st. insufficient info. CBD.
2nd one: 270?

side is 39, which is 13x3, took the pythagorean triplet, 5, 12 , 13 each multiplied by 3, so 15, 36 , 39., accordingly calculated values for x and y..
@sujamait said:
A biscuit manufacturing company, Critannia, sold its two brands 'Bourbon' and '30-70' One of the sides of a right angled triangle is 39 cm. The length of the altitude drawn
1. E

@sujamait said:
A biscuit manufacturing company, Critannia, sold its two brands 'Bourbon' and '30-70' in May 2012.Each packet of 'Bourbon' was sold at 20% loss whereas each packet of '30-70' was sold at 30% profit.In the whole transaction, there was neither profit nor loss. If it had sold each packet of 'Bourbon' at 10%profit and that of '30-70' at 25% profit, the company would have made a profit of 0.8 million. If the ratioof number of packets sold of Bourbon to that of '30-70' was 6 : 5, what was the difference between thecost price of per packet of Bourbon and '30-70'?1A. 0 B. 1 C. 2 D. 2.5 E. Cannot be determinedOne of the sides of a right angled triangle is 39 cm. The length of the altitude drawn from the vertex whichcontains right angle is x cm and the length of its circum radius is y cm. If length (in cm) of each of the sides ofthe triangle is an integer not more than 48, then find the numerical value of x ร— y.1A. 240 B. 260 C. 270 D. 364 E. Cannot be determined
1)I think cannot be determined as we don't know anything about the number of pockets to sold to gain .8 million(as per the second condition)...as whole,we could find the difference in cost prices

2)y = 1/2*(hyp) ie = (1/2)*39 and x = (15*36)/39

Now,x*y = 270
@sujamait said:
A biscuit manufacturing company
1.B
2.C
Function f is defined only on the set of all real numbers with real values, such that f(x2 + f(y)) = y + (f(x)) 2.Find the value of f(5).
options :
1. 1
2. 0
3. 5
4. 10
No. of methods to select 2 king, 2 queen and 2 jack from a pack of 52 cards are ....
frm m4maths.com
@hari_bang said:
No. of methods to select 2 king, 2 queen and 2 jack from a pack of 52 cards are ....frm m4maths.com
216
Seven trees โ‚ฌโ€œ T1, T2, T3, T4, T5, T6 and T7 โ‚ฌโ€œ are planted in a park which is in the shape of a quadrilateral.
T1, T2, T3 and T4 are at the four corners of the park in an anticlockwise direction. T5 is at the point of
intersection of the diagonals of the park and is also equidistance from T2 and T4. T6 is on the diagonal T1T3
such that T5 is equidistance from T1and T6. T7 is on one of the sides of the park such that T4, T6 and T7 are
collinear and the ratio of the distances between T2 and T4 to T3 and T4 is same as that of T2 and T7 to T3 and
T7. If the distance between T1 and T2 is 72 m and T4T5 : T4T3 = 3 : 4, then find the distance between T4 and
T7.
If you have 5 coins of 1 rupee; 4 coins of 2 rupee and 2 coins of 5 rupee. Then how many combination of coins are possible.
Ans is-89
approah anyone....:)
On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the sun was shining on him?