Group 1
The number 2 is
10%
of
40%
of x. Find x.
50
If A = 5^x + 5^(−x) and B = 5^x − 5^( −x ), evaluate A^2 − B^2
4
If x = √ 5 and y =( x − 1/ x )/(x + 1 /x ), compute (y − 1 /y )/(y + 1 /y ).
-5/13
Compute
48/(sqrt(1/16^(-3/2)))-3^(1/2)*sqrt((4+sqrt(4))/(4-sqrt(4))
3
A certain rectangle has area 6 and diagonal of length
2sqrt(5)
What is its perimeter?
8sqrt(2)
The largest angle of a given triangle is
35^@
more than the smallest angle, which is
10^@
less
than the intermediate angle. What is the measure of the intermediate angle?
55^@
Four numbers are written in a row. The average of the first two numbers is 7, the middle two
2.3 and the final two 8.4. What is the average of the first and last number?
13.1
Four suspects of a crime made the following statements to the police: Andy said “Carl did
it”. Bob said “I didn’t do it”. Carl said “Dave did it”. Dave said “Carl lied”. If only one of
the four is telling the truth, who did it?
Bob
Find all solutions to the equation
sqrt( x + 10) + ( x + 10)^(1/4) = 12 .
105
How many three-digit numbers have at least one 7 but no zeroes?
217