General Engineering Evaluation Exam (2021-2022)
In △ABC, the measure of ∠B is 90∘,BC=16, and AC=20. △DEF is similar to △ABC, where vertices D,E, and F correspond to vertices. A,B, and C, respectively, and each side of △DEF is 13 the length of the corresponding side of △ABC. What is the value of sin F?
3/5
A deposit of Php 1,000 per month in a bank giving 6% interest compounded monthly for two years. He stopped making deposits and withdrawals for 5 years. What is the amount of money in the bank after 7 years?
31882.47
A man left his home at past 3:00 PM as indicated in his wall clock. Between 2 to 3 hours after, he returned home and noticed the hands of the clock interchanged. At what time did he leave his home?
3:31.47
The excess assets over liabilities
equities
Suppose A,B, and C are statements such that C is true if exactly one of A and B is true. If C is false which of the following statements must be true?
if A is false, then B is false
Samsung, Panasonic, and LG are producing Single Board Computers (SBCs) for hobbyists. Samsung's SBCs take up 40% of the market, Panasonic's SBCs take up 25% of the market, and LG's SBCs take up the rest. 1% of all Samsung and Panasonic's SBCs are defective, whereas 2% of all LG SBCs are defective. If the SBC you bought was defective, what is the probability that it is a Panasonic SBC?
0.185
The eighth-grade students at Keisel Middle School are divided as number of left-handed students and right-handed students by gender. Let there be 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. If there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)
0.410
The eccentricity of the ellipse x^2/4 + y^2/16 = 1 is
0.866
What is x in x = sin^2 (1=cot^2)
1
In the xy-plane, the point (p, r) lies on the line with equation y = x + b, where b is a constant and the point with coordinates (2p, 5r) lies on the line with equation y = 2x + b. If p ≠ 0, what is the value of r/p?
3/4
The copying of an invention of another person without his/her permission
plagiarism
The hour hand of a clock is 3 inches long. What is its angular speed?
1.31 in/hr
A 1-inch-diameter coin is thrown on a table covered with a grid of lines two inches apart. What is the probability the coin lands in a square without touching any of the lines of the grid?
1/4
Find the sum of odd numbers from 1 to 63
1024
At a rock concert, the average sound intensity level for a person in a front-row seat is 110 dB110 dB for a single band. If all the bands scheduled to play produce sound of that same intensity, how many of them would have to play simultaneously for the sound level to be at or above the threshold of pain?
12
A diver with a flashlight shines a light beam upward from the bottom of a pool at an angle of incidence of 40. The light leaves the surface of the pool at an angle of refraction of 60•. The index of effraction of water is
13
A biker covered half the distance between two towns in 2 hr 30 min.After that he increased his speed by 2 km/hr. He covered the second half of the distance in 2 hr 20 min. What is the distance between the two towns and the initial speed of the biker?
140 km
From time 6:15 PM to the time 7:45 PM of the same day, the minute hand of a standard clock describes an arc
180
Which of the following sets of horizontal forces could not leave an object in equilibrium?
2 lb, 4 lb, 8 lb
If an object is thrown up at an initial velocity of 9.8 m/s, how long will it take to fall back to the ground?
2 s
The dynamic pressure q generated by a fluid moving with velocity v can be found using the formula above, where n is the constant density of the fluid. An aeronautical engineer uses the formula to find the dynamic pressure of a fluid moving with velocity v and the same fluid moving with velocity 1.5v. What is the ratio of the dynamic pressure of the faster fluid to the dynamic pressure of the slower fluid?
2.25
Out of 7 Consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
210
To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
23 days, 675 parts
how many factors of 2^5 x 3^6 x 5^2 are perfect squares?
24
A rubber ball is made to fall from a height of 50 feet and is observed to rebound 2/3 of the distance it falls . how far will the ball travel before carrying the rest if the ball continues to fall in this manner
250 feet
When all odd numbers from 1 to 101 are added, the result is:
2601
A regular octahedron (which can be decomposed into two square pyramids) has an edge of length 2m. What is the volume of the octahedron?
3.77
Elizabeth (E) can get a certain job done in fifteen days, and Tony (T) can finish only 75% of that job within the same time. Tony worked alone for several days and then Elizabeth joined him, so they finished the rest of the job in sixty-six days, working together. What percentage of the job Elizabeth completed?
40%
On the day your daughter is born, you deposit $1,000 in a college savings account that earns 8% compounded annually. On each of her birthdays thereafter, up to and including her 18th birthday, you deposit an additional $1,000. How much money is in the college account day after her 18th birthday?
41450
What is the probability of getting a sum greater than 4 with the two-fair hexahedron dice?
5/6
How many diagonals are there in a polygon having 12 sides polygon?
54
Question: What fraction of the volume of a sphere is taken up by the largest cylinder that can be fit inside the sphere?
58%
On a certain stretch of track, trains run at (96.56kph). How far back of a stopped train should be a warning torpedo be placed to signal an oncoming train? Assume that the brakes are applied at once and retard the train at the uniform rate of (0.61 m/s2)
589.7 m
Determine the force of gravitational attraction between a 52 kg boy and a 45 kg girl if the separation distance is 0.50 meters.
6.24 x 10^-7 N
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
720
An iron block weighs 5 newtons and has a volume of 200 cubic centimeters. Calculate the mass and density of the block.
7650 kg/m^3
Look for the value of a in the following forms of harmonic progression: 1, 1/5, 1/a, 1/11
9
Liquid assets that can be converted quickly into cash. They include cash equivalents, accounts receivable and inventory.
Current assets
A structure is called ______ that contain at least one multi-force member.
Frame
Any differential equation of the form y= px + f(p) where f(p) contains neither x nor y explicitly is called a/n _______.
Laguerre Polynomials
The point of concurrency of the altitudes in a triangle
Orthocenter
The new intellectual property code is
RA 8293
Unit of magnetic flux
Weber
A bin contains 50 bolts, 10 of which are defective. If a worker grabs 5 bolts from the bin in one grab, what is the probability that no more than 2 of the 5 are bad?
about 0.95
You bought a car by securing a loan in the amount of $20,000 from Auburn Bank at an interest rate of 9% compounded monthly. You agreed to pay off the loan in 48 equal monthly installments ( each payment occurs at the end of each month). Immediately after 36th payment , you want to pay off the remainder of the loan in a lump sum amount, what should this amount be?
less than $5,693
How can differential equation A(t) d^2x/dt62 + B(t) dx/dt + C = D(t) be described?
linear, homogeneous and first order
If x is the average (arithmetic mean) of m and 9 . y is the average of 2m and 15 , and z is the average of 3 m and 18, what is the average of x,y, and z in terms of m ?
m + 7
Which of the following statements is false?
the acceleration of a body rotating with a constant angular velocity is zero