Is solving arun sharma enough for cat?
- No
- Yes
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The roots of 9y^2+6my+2m=0, where m is a whole number, are rational, How many values can 'm' take ?
How many 3 digit number in base 10 are there such that they can be expressed using 3 digits in both base 9 and base 11?
Hello
Really like this question, since it tests many concepts in a go..
If x and y are real numbers such that 5^log_2(x)=7/2+7/4+7/8... and
5^log_7(y)=1+ 1/2+ 1/4 then x-y is
a) 2log_7(5)
b) 7log_5 (2)
c) 0
d) 1
There are nine three-digit numbers with distinct units digits. Each number is reversed and the reversed number is subtracted from the original number. The results were found to have an average of 0. If for each number, the hundreds digit is not less than its units digit, find the average of the hundreds digits of the greatest and the least numbers.
a) 4 b) 5 c)6 d) 7
Can someone answer this along with an explanation?
## base _system_pointers## ___/\____ note karlo ..handy hoga
***If a number is converted to base " n" and ends with a single 0, then the number is divisible by n .
***If a number in base "n" ends with 00 , then it is divisible by n^2.
*** If a number written in base "n" has K digits, then it lies in between
N^(k-1) and (n^k -1)
##cat16 :mg
How many two digit numbers are there, which when written in base 9, gets reversed when written in base 7 ?
##cat 16
Supoose we have a traingle. The altitudes of the traingles are 8 , 15 and 17.
Then which of the following is the inradius of the traingle ?
1)9
2)16
3)4
4) None
##cat 16
We have 4 dices. In how many ways a sum of 20 can be obtained by throwing all the 4 dices ?
##cat16
Find the sum of rational terms in the expansion of
( 3^ 1/2 + 2^1/5 )^ 1024
##cat 16
Find the maximum value of
12 sin x - 9 sin^2x
##quant _pointers##
The greatest coefficient in (x+y+z) ^ n
= n! /( r1 ! *r2!*r3! ) * ( x^ r1 *y^ r2 z^r3 )
maximum coeffcient = n! /( r1 ! *r2!*r3! )
n is a constant vale so we need to minimise the denominator
r1=r2=r3 (as close possible values)
such that r1 +r2+r3=n
##cat16
If N=888....upto 100 digits, what is the remainder when N is divided by 625?
1.128
2.138
3.338
4.388
[x]+[3x]+[4x] find the range
[x]= greatest integer
ABCD is a rhombus of side 12cm. The diagonals of the rhombus meet at the point P. Line segment PX and PY are joined, where X and Y are the midpoints of the sides AD and CD respectively. If the length of the line segment PD is 10cm, find the length of the line segment XY.
Post the elaborated approach to find the Remainder of 2^33/27 step by step?
If a+sq.root of 3 ,b as well as (a+sq.rt of 3)(b+sq.rt5) are rational numbers ,then (sq.rt of 3)ab is equal to ? please explain me in detail
If A is the set of all rational numbers between 0 and 3(excluding both) and B is the set of all real numbers not less than 3, which of the following is true?
A)The greatest element in A is 2.9999
B)The least element in A is 0.00001
C)The least element in B is 3
D)More than one of the above
Please explain me in detail
##cat 16
The capital of 4 partners A B C and D are in the ratio of 7:8:6:5.A's and C's capitals are there in the business for the entire year .If each partner kept his money invested in the buisness for a period which is more than 6 months and B and D together get 111/267 of the total profit,then for how many months is D's capital invested?