The equation 4x-Ay=B has a number of integral solutions.If HCF(A,4)=1 and the number of solutions (x,y)for 0 less than x, y less than 500 is 45,then the number of possible values of A is
remainder when 126*128*130......186*188 is divided by 29!
A natural number has only two prime factors. It is 100 times the number of its factors. Find the sum of the digits of the least number satisfying these conditions.
Please suggeest a better approach
Q. An Engineer takes a project to build 15Km road in 300 days and employs 45 men for the purpose. After 100 days, he finds that only 2.5 km is complete. Find the number of extra employees needed to complete the project on time.
a. 68 (Oa)
b. 45
c. 54
d. 43
Q. Ap can do a work in 12 days; Ap and Am work together and are paid 54 Rs and 81 Rs. Respectively.
How many days they must have taken to complete the work together?
a. 4 days
b. 4.5 days
Q. Ap can do a work in 12 days; Ap and Am work together and are paid 54 Rs and 81 Rs. Respectively.
How many days they must have taken to complete the work together?
a. 4 days
b. 4.5 days
c. 4.8 days
d. 5 Hours
e. 4.2 days
please suggest best approach
In the following figure, two circles are inscribed in a semi-circle with AB being the diameter and O being the center. Wherever any two out of the circles, semi-circle and diameter touch each other, they do so tangentially. Find the ratio of the radius of the two circles.
It is being given that (2^32 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number:
(2^16 + 1)
(2^16 - 1)
(7 x 2^23)
(2^96 + 1)
the diff betweeen 3 digit no and a no formed by reversing the digit is 297. the sum of the units and tens digit is same as the diff of the hundreds and units digits. also the hundreds digit is twice the units digit. fnd the no?
a)242
b)342
c)603
d)884
pls solve completely...
Is there a property that says that if a circle is inscribed inside a square with all sides of square acting as tangents to the circle, then the circle's diameter is equal to the side of square?? please post comments below..
m points are there out of which n are collinear
1. no of lines that can be formed = mC2-nC2+1
2. no of triangles that can be formed = ?
3. no of quadrilaterals that can be formed = ?
please help with answers(with explaination if possible)
thanks a lot in advance👍
a+b+c = 73 a>b>c
no of soln?
How many perfect squares are divisors of 1!.2!.3!.4!..8!?
What would be probability that x*y*z + y*z + z is divisible by 3 where x, y & z are randomly drawn elements from {1,2,3,4,5,6.......,99} with replacement
.a. 1/3
b. 2/3
c. 13/27
d. 14/27
e. None of these (???)
There are 3 soft drinks, 4 chinese dishes and 2 ice creams in how many ways can a meal be formed if at least one of each item is to be included, depending uponn the no. of people who turn up?
5 different balls to be placed in 3 different boxes. IN how many ways this can be done so that no box is empty? Explain!
A candidate is required to ans 6 out of 10 que. 10 que are divided into 2 groups of 5 each. If a candidate can't ans more that 4 from a group. How many ways can he make up his choice?
In how many ways can four identical yellow balls and two identical red balls be arranged on the circumference of a circle?
If the lines x = a + m, y = –2 and y = mx are concurrent, what is the least possible value of |a|?
Seven people enter a room with four available chairs. Those without a chair are asked to leave. How many seating arrangements are possible?
a. 210
b. 144
c. 35
d. 24
a shipping clerk has 5 boxes of diff integral but unknown weights. the clerk weighed the boxes in pairs. he obtained the weights, in kgs as 122,124,125,126,127,128,129,130,132 and 133. how much would the heaviest box weigh?(in kgs)
a)69
b)67
c)70
d)68
plz explain hw u did it?
Let Z = {1, 11, 111, 1111, ..., 11111 up to 55 times} and T be a subset of Z such that the sum of no two elements of T is divisible by 3. The maximum possible number of elements in T is