Official Quant thread for CAT 2013

doubt

find no. of digits.
Q1. 5^20
Q2. (1/5)^20

given log2=0.3010

some1 plz explain these 2 in detail

Q) Line segment AB = 65 cm. A point C is selected such that ฮ”ABC is a right angle triangle. How

many triangles are possible...Integral solns


The total area of a square grid, comprising 10 ยด 10 identical small squares, is 10,000 sq.cm. A rectangle of area 1,800 sq.cm is to be selected from it such that a whole number of small squares are selected in the process. In how many ways can this be done?

112

118

114

116

There is a circle with a cyclic quad . Diagonal of da quad is 8 units. One angle opp to the same diag is 110. Find the radius of the circle ?


Matrix aur determinants vagarah vagarah, imp for CAT?

How many integer values of a & b are there such that 4a+7b = 3 while |a,b|
Is the answer 27?

A sign at the entrance to a large european city reads


BOJFRO
OXIO

Each letter is printed on a separate board and the boards are all of the same size. A great wind come and blows the ten boards to the ground. A helpful passer by who is illiterate comes along and replace the boards but his efforts are random since he cannot read.

What is the probability that he got OXIO correct?

Certain numbers of person are surveyed in the society regarding the viewer ship of TV Channel. 78% like Sony TV, 83% like Discovery, 67% like NDTV, 59% like Star Sports, 69% like History Channel and 72% like Zee Cinema.

1. Find the minimum percentage of surveyed population who likes exactly Four Channels?

2. Find the minimum percentage of surveyed population who likes at most three Channels?

3. Find the maximum percentage of surveyed population who likes at most two Channels?

4. Find the minimum percentage of surveyed population who likes at least Four Channels?

plz tell me the approach


Wrong thread I know but still ๐Ÿ˜ž

Did any of you receive any sort of confirmation mail from "XAT 2014" after sending Demand Draft of Rs 950/- ? Plz reply puys ๐Ÿ˜ž



how many numbers between 251 and 750 are divisible by 3 or 15 but not by 9 or 25?

we have this rule for two numbers:

HCF*LCM=Product

;which need not be true for more than two numbers

i am trying to form a pattern for a specific case of more than two numbers

1. HCF(1,2)=1; LCM(1,2)=2; product=2

HCF*LCM=product/1

2. HCF(1,2,3)=1; LCM(1,2,3)=6; product=6

HCF*LCM=product/1

3. HCF(1,2,3,4)=1; LCM(1,2,3,4)=12; product=24

HCF*LCM=product/2

4. HCF(1,2,3,4,5)=1; LCM(1,2,3,4,5)=60; product=120

HCF*LCM=product/2

5. HCF(1,2,3,4,5,6)=1; LCM(1,2,3,4,5,6)=60; product=720

HCF*LCM=product/12

6. HCF(1,2,3,4,5,6,7)=1; LCM(1,2,3,4,5,6,7)=420; product=5040

HCF*LCM=product/12

7. HCF(1,2,3,...,8)=1; LCM(1,2,3,...,8)=840; product=40320

HCF*LCM=product/48

8. HCF(1,2,3,...,9)=1; LCM(1,2,3,...,9)=2520; product=362880

HCF*LCM=product/48

9. HCF(1,2,3,...,10)=1; LCM(1,2,3,...,10)=2520; product=3628800

HCF*LCM=product/144

10. HCF(1,2,3,...,11)=1; LCM(1,2,3,...,11)=277200; product=39916800

HCF*LCM=product/144

11. HCF(1,2,3,...,12)=1; LCM(1,2,3,...,12)=332640; product=479001600

HCF*LCM=product/1440

12. HCF(1,2,3,...,13)=1; LCM(1,2,3,...,13)=4324320; product=6227020800

HCF*LCM=product/1440

and so on.

i am unable to identify the pattern here. the product is being divided by 1,1,2,2,12,12,48,48,144,144,1440,1440,... So, in general, what should be the value of "k" for which HCF*LCM=product/k; for 1,2,3,...,n?

A parallelogram has sides 3 and 5. The shorter diagonal is 4. Find the longer diagonal.

a^2 - b^2 = 578286. give the number of solutions for (a,b)

There are 2 lines 2x +3y = 4 and 4x+5y=6 ..These lines are tangent to a circle..find the radius of the circle?


4 , 8, cant be determined or non of these.


Source: CL hand out. OA not available

7/9 *26/28 * 63/65.......

X^2+Y^2=75^2 Find the total No of Integral Solutions.

The natural number X becomes divisible by 10 when 6 is added to it. Also, if the unit's digit of X is made the leftmost digit, the ten's digit is made the unit's digit, the hundred's digit is made the ten's digit and so on, the resulting number is equal to 4X. It is given that X is the smallest number with these properties. What is the sum of the digits of X?

1. 12
2. 14
3. 16
4. 18

can anyone give me link for MATRIX BASED LR????????????

s = ( 118 r ) / ( 116 + r) If s and r are positive integers, what is the maximum value of s ???
Saw this in another page of PG..Need approach...
OA=117