(REAL)Aptitude test 2022 ACTUAL TEST

Aptitude test The prefix milli- means Correct Answer: 1/1000 (1000millimeter = 1meter) to convert you're either multiplying or dividing by 1000 kilo Correct Answer: a thousand (I kilo xy = 1000 y) mega Correct Answer: a million (1 megaxy = y) giga Correct Answer: billion (1 giga xy = 1,000,000,000y) tetra Correct Answer: a trillion (1 tetra x = 1,000,000,000,000y) deci Correct Answer: one tenth (10decimeter = 1meter) centi Correct Answer: one hundredth (100centimeter = 1 meter) micro Correct Answer: one millionth (1,000,000 micrometers = 1meter) nano Correct Answer: a billionth (1,000,000,000 nanometers = 1 meter) pico Correct Answer: one trillionth (1,000,000,000,000 picometers = 1 meter) 1 us ton in pounds Correct Answer: 2000pounds = 1 ton one gram is how many oz Correct Answer: 1g = 0.3527oz 1oz is how many grams Correct Answer: 1oz = 28.35g area of a cirle Correct Answer: A = πr² (π): pi, approx. 3.14 pythagorean thereom Correct Answer: in a right triangle, a^2 + b^2 = h^2 perpendicular lines Correct Answer: Lines that intersect to form right angles isosceles triangle Correct Answer: has two congruent angles, that meet with a vertex of the congruent side and the non congruent side. there are two congruent sides and one that is not scalene triangle Correct Answer: has no equal sides equation that helps find sum of angles in a triangle Correct Answer: sum of a triangles angles are always 180 finding side of triangles that's not a right triangle and gives you an altitude Correct Answer: make a right triangle with the altitude and use pythagorean sin of theta Correct Answer: opposite/hypotenuse cos of theta Correct Answer: adjacent/hypotenuse tan of theta Correct Answer: opposite/adjacent area of a triangle Correct Answer: b/2 * h area of a trapezoid Correct Answer: A=1/2h(b1+b2) perimeter of a circle Correct Answer: pi * diameter volume of a cube Correct Answer: edge * 3 volume of a cylinder Correct Answer: V=πr²h volume of a cone Correct Answer: V=1/3πr²h volume of a sphere Correct Answer: V=4/3πr³ how to convert decimal number to binary number (or any number form) Correct Answer: start by dividing original number by 2 then record the remainder as well, divide the result of the last division by 2, and then record remainder...repeat until you get to the number that is not divisible by 2 and give it a remainder of 1. your binary number is all of those remainders recorded opposite of how you found them...like if this 0 1 0 0 1 1 0 1 0 1 was your table then your binary number is (0)base 2 also when converting any decimal number you only have to divide by whatever case that number form (that you're converting to) is in ex. If going from decimal form to octal form then you do everything the same except you divide by 8 how do convert any number form to decimal form Correct Answer: when converting binary this form is called doubling because binary uses base 2. so take your original number in case(x) then add the leftmost digit with the previous total times x convert binary form to octal form Correct Answer: group your binary numbers into groups of three always starting with your rightmost groups ex. (100) (100) (010) 421. 421. 421 400. 400. 420 4. 4. 6 446 is your octal form after pairing you take 421 under each group and either multiply the one or the zero with whatever it's on top of, once you get your new group of 3 numbers you add those together to make one digit. all these digits come together to make your octal number converting binary to hexadecimal Correct Answer: take your binary string and group it into tours like so (1010)(1010) 8421. 8421 8020. 8020 10. 10 10 in hexadecimal is an a therefore the answer is AA deka Correct Answer: prefix meaning ten 10 meter = 1dekameter hecto Correct Answer: prefix meaning 100 100 meters = 1 hectometer simplyfing square roots Correct Answer: find multiples then see if there are squares in the multiples converting from hex to binary Correct Answer: take each individual number of the hexadecimal and find its value (a, b , c...will be 10, 11, 12 and so respectively) after you have individual values take for number 154 because one's are under the suns that make up each individual number in the whole of hexadecimal number 154 converting octal to binary Correct Answer: take the individual digits of octal number and set up like 421 421 101 110 for number 56 because there are ones under each number that's sums equal the digit is representing for octal number 56 basics of boolean algebra Correct Answer: when remembering the rules for boolean algebra (a *a = a, a * b negated = a ) you have to think ofnl your only two possible variable numbers being one and zero and you never have a two! you are only achieving nothing (0), something (1), or possibly into a variable form that cannot be simplified. speaking off, simplification is always possible like when your adding a + ab it just become a(1 + b) which equals a! addition property of logarithms Correct Answer: log base b of c + log base b of a = log base b of c*a subtraction property of logarithms Correct Answer: log base b of a - log base b of c = log base b of a/c exponent property of logarithms Correct Answer: exponent properties says when a power is raised to a power, those powers are multiplied. so with a logarithm when your exponent is raised to an exponent it can be placed at the front of the logarithm ex. 2 log base b of c = log base b of c ^2 vectors have both Correct Answer: magnitude and direction adding two vectors Correct Answer: add your y values and your x values , when you add both your vectors it creates a new vector that connects the two conceptually. how do you find magnitude or the other side of a vector Correct Answer: Pythagorean Theorem aka square root of x^2 + y^2 scalar has ? Correct Answer: magnitude only scalar multiplied by vector is? Correct Answer: scaling aka changing the magnitude of the vecotr dot method to multiply vectors Correct Answer: take the magnitude of x vector and multiply by y vector then multiply by cos of theta which makes the scalar logarithm rule when exponent is a fraction Correct Answer: a ^m/n = (1/n squared root of a) ^m aka 2 ^5/3 = (cubed root of 2)^5 conversion from hexadecimal to octal and octal to hexadecimal Correct Answer: you essentially want to turn the form into binary and then into the others form! how to explain behavior of vector around starting point Correct Answer: with starting point being (x2, y2) x2+x1, y2+y1 how to describe vector based on direction Correct Answer: either 20° north of west or just 50° which means rotated 50° clockwise of east how to find the direction of a vector Correct Answer: use your trigonometric properties (as long as theres a right angle!) change of base rule in logarithms Correct Answer: if you have a base youd like to change you can use division. also if you have logarithms being divided you can simplify with this rule!! ex. log base a of b = log b/log a of any base for the new one as long as they're the same when multiplying with 10s with exponents Correct Answer: multiplying by 10 always changes the decimal place, therefore if you multiply by 10 the decimal goes forward once if you multiply by 10 to the negative one then the decimal goes back once and so on the bigger the exponent is how many feet are in a yard Correct Answer: 3ft how many yards in a mile Correct Answer: 1760yd how many grams in an ounce Correct Answer: 28.4g how many centimeters in an inch Correct Answer: 2.54cm how to wire a percentage in two different forms Correct Answer: either 50% = .5 Orr 50/100 equality with an and Correct Answer: means the equalities both have to do with each other so if one is x7 and one is x4 then your domain is (7,4) therefore it is when the equations have an overlap equality with an or Correct Answer: meaning neither equation changes each other so if you have x-7 or x-8 then your domain is all real numbers common formula for d distance Correct Answer: d= r * t rate times time how many feet in a meter Correct Answer: 3.28 ft y intercept Correct Answer: when x=0 x intercept Correct Answer: when y=0 slope of a line Correct Answer: change in y/change in x slope intercept form Correct Answer: y=mx+b point slope form Correct Answer: y-y₁=m(x-x₁) standard form of an equation Correct Answer: Ax+By=C with A, B, and C being constants system of equations elimination Correct Answer: put one equation into the second equation to use whatever the first equation equals in the second equation . which will also eliminate one of the variable ex. 5x - 3y = -3 5x + 4y = 6 then subtract 5x + 4y on both sides of the first equation and you will eliminate 5x as well as only have to subtract six on the other side of the equation arithmetic sequence equation Correct Answer: first value times your changing factor (x-1) Correct Answer: