what is (2557 + 326) - 218 * 54
(hint: use pemdas!)
-8889
100
What is the area of a square with side lengths 4 by 4 by 4?
64
100
What is the smallest integer that satisfies the inequality
(x - 3)/ (x^2 - 8x - 20) > 0 > 0?
-1
100
If x^(-3 )= 27, what is the value of x^1/2?
√3 / 3
100
If sin α = 12/13 , and cosα = 5/13 , then tanα = ?
12/5
200
Factorize x^2 + 10x + y^2 +26 = 0
(x+5)^2 + (y+13)^2 = 194
200
Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?
rhombus
200
How many different presidents have been inaugurated in the United States?
44
200
If f(x) = 2x + 3^x, what is the value of f(2)?
13
200
If 0° < x° < 90° and sin x = 1/2 , then cos x = ?
(√3)/2
300
What are the two real roots (so not the imaginary numbers) to x^4 -5x^2 -36 = 0?
3, -3
300
What is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between two sides is 1500?
24 sq units
300
Three friends Alice, Bond and Charlie divide $1105 amongst them in such a way that if $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive?
$495
300
What is the area, in square feet, of the triangle whose sides have lengths equal to 10, 6 and 8 feet?
24 square ft
300
What is the smallest positive value for x where y = sin 2x reaches its maximum?
π/4
400
what is co-secant of -31π/6
(write exact number)
2
400
What is the radius of the incircle of the triangle whose sides measure 5, 12 and 13 units?
2
400
What is the highest integral value of 'k' for which the quadratic equation x2 - 6x + k = 0 have two real and distinct roots?
8
400
104(54 - 24) / 21 =
290,000
400
What is the period and amplitude of the graph of the function y = 2 cos(4x + 2) – 7?
the amplitude is 2 and the period is 2π⁄4 = π⁄2.
500
what is the arch length of r=18 and Theta = 60°?
18.8
500
If 10, 12 and 'x' are sides of an acute angled triangle, how many integer values of 'x' are possible?
9
500
Working together, Jose and Jane can complete an assigned task in 20 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose.
60 days
500
A number is given as 987562153ab where a and b are digits. Which values of a and b, such that
a + b = 11 and a < b,
would result in 987562153ab being divisible by 4?
a=5 and b=6
500
If a=b/4 and sina and cosb are greater than zero, which of the following values could not be a?