Q) 9 contestants for miss India are seated around a round circular table. Aditya wants to date 3 of them such that he does not select any 2 neighboring contestants. No. Of ways in which Aditya can do this is?
There are 5 balls with just one having a different weight(either more or less). A weight gauge is also provided. Find the minimum number of usage of gauge so as to find the odd ball? Please post ur approach as well.
All the three-digit numbers are written in the ascending order, from left to right, in a row, such that each three-digit number is separated from the following number by a comma. How many commas are present for which the digit immediately preceding the comma equals the digit immediately following it?
Please Explain
All possible pairs are formed from the divisors of 21600. How many such pairs have HCF of 45?
In order to get 45 in both the terms of a pair , 21600 should contain two 45's and here 21600 contain only one 45 .
(45a , 45b ) =21600 where a,b are co primes .
HCF * LCM =21600 ==> 45 * 45 * a*b = 21600
I cannot proceed from here . Pls. help
The King of Timbkutu has many children. His oldest son was 13 years old. Moreover all his children, except 43, were twins. Also, all of his children except 43, were triplets. Also, finaly, all of his children except 43, were quadruplets. How many children did he have? (Quadruplets are not counted as twins or triplets and triplets are not counted as twins)
a) 55 b) 67 c)79 d) Either a or b
Please explain in detail.
Can anyone pls explain the concept of eq. of time taken by 2 persons running on circular track in same direction and starting from same point to meet for the first time ever = L(length of track)/difference between speed of both(relative speed). My doubt is why are we taking only L in the numerator though total distance covered by both is more than that (i.e. 1 complete round+ (2*distance travelled by slower person))?
Mr. X, a very industrious person, wants to establish his own unit. For this he needs an instant loan of Rs. 5,00,000 and, every five years he requires an additional loan of Rs 100,000. If he had to clear all his outstandings in 20 years, and he repays the principal of the first loan equally over the 20 years, find what amount he would have to pay as interest on his initial borrowing if the rate of interest is 10% p.a. Simple Interest.
- 560,000
- None of these
- 500,000
- 525,000
- 540,000
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Archimedes was working on a problem. In the problem, there was a 3-digit number, N, with different
non-zero digits X, Y and Z. Archimedes formed all possible 3-digit numbers using the digits of N,
without repetition. The six number thus formed were divided into 3 groups - G1, G2 and G3 - with
two numbers in each group. The sum of the numbers in G1, G2, and G3 were found to be 827, 980
and 1079 respectively. Which of the following cannot be a digit N?
a.6
b.2
c.3
d.4
the number. of non-negative integer solutions of the system of equations
x1+x2+x3+x4=35 and
x1+x2=25 is?
1.(47^47)-(13^13) is divisible by
a.7
b.9
c.10
d.4
e.none of these
2. 3f(x) + 2f((x+59)/x-1)) = 10x+30.
Find f(7) ?
#numbers
what is the highest 3-digit number that divides the number 11111...1(27 times) perfectly without leaving any remainder?
in a race 0f 600 meters ,ajay beats vijay by 60 meters and in a race of 500 meters vijay beats anjay by 25 meters . by how many meters will ajay beats anjay in a 400 metres race?
binomial
how many terms in the expansion ( 3^1/3 + 5^1/5) ^100 are integers ?
#fucntions
The domain of the function f(x) = log7{log3(log5(20x- x^2 - 91))} ?
7,3,5, are the bases
One off topic question. I have these anxiety issues and posses a record of not being able to sleep before an important day, and 29th being one of those days I am afraid that I might not be able to sleep in this case either. So how much do you guys think can this affect my performance?? Any suggestions on the same will be very helpful.
Need solution for this question
How to solve this!??
Find the sum of all possible real values of 'p' for which the equation 2x^2-x+3p=0 and x^2-x-p=0 will have a common root.
Ans: Values of p come out to be 0 and -(4/25) so answer is -(4/25).
How many numbers are there between 1000 and 10000 which when divided by 4,5,6,7 leave remainder 1, 3, 3, 5 respectively ?
How many distinct rectangles having integral sides (in cm) and a perimeter less than or equal to 150 cm are possible?
There are three solutions of an acid − A, B and C − of different concentrations and volumes. The concentration of A in percentage points is an integer, that of B is 5 percentage points greater than that of A, while that of C lies between 60 and 80. If A and B are mixed, the resultant concentration would be 25%, whereas if A and C are mixed, the resultant concentration would be equal to that of B. If the total volume of A and B is 15 litres, and the volume of C is 1 litre, find the volume (in litres) of B.