Q. The numbers between 1 and 520, including both, are divisible by 2 or 6 is _______

View solution

Q. In a renowned software development company of 240 computer programmers 102 employees are proficient in Java, 86 in C#, 126 in Python, 41 in C# and Java, 37 in Java and Python, 23 in C# and Python, and just 10 programmers are proficient in all three languages. How many computer programmers are there those are not proficient in any of these three languages?

View solution

Q. In class, students want to join sports. 15 people will join football, 24 people will join basketball, and 7 people will join both. How many people are there in the class?

View solution

Q. The sum of all integers from 1 to 520 that are multiples of 4 or 5?

View solution

Q. There are 9 letters having different colors (red, orange, yellow, green, blue, indigo, violet) and 4 boxes each of different shapes (tetrahedron, cube, polyhedron, dodecahedron). How many ways are there to place these 9 letters into the 4 boxes such that each box contains at least 1 letter?

View solution

Q. A card is drawn randomly from a standard deck of cards. Determine the probability that the card drawn is a queen or a heart.

View solution

Q. An integer from 300 through 780, inclusive is to be chosen at random. Find the probability that the number is chosen will have 1 as at least one digit.

View solution

Q. From 1, 2, 3, …, 320 one number is selected at random. Find the probability that it is either a multiple of 7 or a multiple of 3.

View solution

Q. Computation of the discrete logarithm is the basis of the cryptographic system _______

View solution

Q. Solve the logarithmic function of ln(\(\frac{1+5x}{1+3x}\)).

View solution

Q. Determine the logarithmic function of ln(1+5x)⁻⁵.

View solution

Q. Find the value of x: 3 x² aˡᵒᵍᵃˣ = 348?

View solution

Q. Solve for x: log₂(x²-3x)=log₂(5x-15).

View solution

Q. Solve for x the equation 2ˣ⁺³ = 5ˣ⁺².

View solution

Q. Given: log₄ z = B log₂/₃z, for all z > 0. Find the value of constant B.

View solution

Q. Evaluate: 16ˣ – 4ˣ – 9 = 0.

View solution

Q. Transform 54ʸ = n+1 into equivalent a logarithmic expression.

View solution

Q. If logₐ\((\frac{1}{8}) = -\frac{3}{4}\), than what is x?

View solution

Q. The explicit formula for the geometric sequence 3, 15, 75, 375,… is _______

View solution

Q. The third term of a geometric progression with common ratio equal to half the initial term is 81. Determine the 12th term.

View solution