X=a root (b)/c where b is not divsible by square of any prime and a, c are coprime
X= sin (y)
Where y=inverese sin (3/5) +inverese tan (2)
Find a+b+c
Answer is not 21
1. How many natural numbers 'n' exists with the following property:
i) n has exactly 100 digits (in decimal representation)
ii) all the digits of n are odd.
iii) n is divisible by 5
iv) the number m = n/5 has 100 odd digits.
A thief escapes from city A at 2 pm and flees towards city B at 40 kmph. At 3 pm, the police realize the escape and start chasing the thief at 50 kmph. Simultaneously, a police team from station B also starts towards city A to apprehend the thief at a speed of 60 kmph. what should be the distance between A and B such that both the police team nab the thief at the same time?
plz help puys!
1/m + 1/n = 1/4
1) How many positive integers satisfy the values of (m,n) in the above equation?
2) How many positive odd integers satisfy the value of n in the above equation?
If 12 xy + 9x + 12y = 40, and x and y are positive integers, then what is the minimum value of 3x + 4y?
For how many positive integer values of N, is N2 + 12N is a perfect square?
Find the sum of all 2 digit numbers N = ab , where a≠0, such that N divides a0b.
We define a function f(x,y)=(x+1)(y−1). For how many ordered pairs of integers (x,y) subject to 1≤x,y≤90 are there, such that f(x,y)=f(y,x)?
Two trains travel at speeds of120km/hr and 150km/hr from same station at same time in same direction. Thirty minutes later third train starts from same station as earlier in same direction. It crossed faster train an hour and a half after it crossed slow train. Find third train's speed ( assum length of all 3 trains negligible
Q:In a triangle ABC with side AB=AC and ang(BAC) =20 degree ,
D is a point on side AC and BC =AD.FInd ang(DBC).
a)50 b)45 c)65 d)70
It is given that N = 13 x 17 x 41 x 829 x 56659712633. Further it is given that N is an 18-digit number, with nine of the ten digits from 0 to 9 each appearing twice. Find the sum of the digits of N.
How many ordered pairs of integers (a,b) are there to
(a/b )−(b/a)-(2/a)-(2/b)=0,
where a and b satisfy −82 ≤ a ≤ 82,−82 ≤ b≤ 82?
Census is conducted every 5 years on the 1st Jan. There is a couple in that city. They got married in 1990 and gave birth to several children after marriage. In the previous four censuses in 1991, 1996, 2001 and 2006, the sums of the ages of the couple and their children are all multiples of 8. What is the minimum number of children the couple have in 2006? (Assume all the members of the couple's family are alive in 2006)
If [x] is the greatest integer not exceeding x. For example, [1.1] = 1, [6.9] = 6 and [5] = 5. Then how many different value [n/2001]*[6010/n] can take if n is positive integer.
@jain4444 Three not necessarily distinct positive integers between 1 and 99, inclusive, are written in a row on a blackboard. Then, the numbers, without including any leading zeros, are concatenated to form a new integer N. For example, if the integers written, in order, are 25, 6, and 12, then N = 25612 (and not N = 250612). Determine the number of possible values of N.
this one was not done...??
How many ordered triples of positive integers (a, b, c) are there for which a^4*b^2*c = 54000?
If 2 n can exactly divide p! then the value of n which is not possible : a. 43 b. 44 c. 45 d. None of these
Let a, b, c be not necessarily distinct integers between 1 and 2011, inclusive. Find the smallest possible value of (ab + c)/(a + b + c) .
54√3,
144,
108√ 6 − 108√2
Which one is smallest?
chk attachment for prob