IBONG TIRIRIT 2 - Problem Solving

65 536

Determine the sum of the coefficient of the variables in the expression (2x + 3y –z)^8 .

– 15 V

Find the voltage drop to move 2 C of charge from point a to point b that requires – 30 Joules of energy.

60 ways

How many permutations can be made out of the letters in the word DIEGO taken 3 at a time?

– 273 oC

What is the temperature in degrees Celsius of a molecule at absolute zero?

xπ/180

If at an angle measures x degrees, what is the measure in radians?

500

An area of 25.6 cm² on the map represents a lot having an area of 640 m². If the scale on the map is 1:x, what is the value of x?

0.618

If the z = 1 – 1 – 1 – …, what is the value of z?

1.258925

Solve for the value of x from the following equation: 10^x = x^x.

4/3

If 4y = 3x, then, what is the value of (3x)² / (4y)²?

7

When the expression x⁴ + ax³ + 5x² + bx + 6 is divided by (x – 2), the remainder is 16. When it is divided by (x + 1) the remainder is 10. Determine the value of the constant a.

4

What is the value of k to make the expression kx² – 3kx + 9 a perfect square?

15 yrs old

Two times the mother’s age is 8 more than six times her daughter’s age. Ten years ago, the sum of their ages was 44. What is the daughter’s age?

3:2

If the daily wage of CPM and a Plumber are in the ratio 2:1. In a day, a CPM has to work 8 hrs but the

Plumber only 6 hrs. Determine the ratio of their hour wages

π(0.001)²/4

Which of the following is the equivalent of one circular mil?

2Logb 3

Which of the following is the equivalent of the expression 2Logb 6 – Logb 4?

20

A 100-kg salt solution originally 4 % by weight salt in water is boiled to reduce water content until the

concentration is 5 % by weight salt. How much water is evaporated?

10

Tukmol can paint a fence of 50 % faster than Kikoy and 20 % faster than Tiburcio and together thay can paint a given fence in 4 hours. How long will it take Tukmol to paint the same fence if he had to work alone?

3:06.36

It is now between 3 and 4 o’clock and twenty minutes the minute hand will be as much as the hour-hand as it is now behind it. What is the time now?

10 units

Determine the diameter of a circle, x² + y² - 6x + 4y - 12 = 0

(1,2)

What is the minimum point of y = x + 1/x

2

The volume of the cube is increasing at a rate of 5 cu. m per minute. Determine the rate at which the

surface area is increasing, in m2/min, when its side is 10 m.

0.15

What is the simple interest rate if an investment of P37,500.00 accumulates to P45,937.5 in 18 months?

Collective bargaining

What do you think is the negotiation of wage rates, conditions of employment, etc. by representatives of the labor force and management?

What is the value of lim x→∞ (x² - 1 ) / (x³ - 1) ?

0

P1,968.23

What is the present value of P5,000.00 due in 8 years if money is worth 12% compounded semiannually?

852

Twice the middle digit of a three-digit number is the sum of the other two. If the number is divided by the sum of its digit, the answer is 56 and the remainder is 12. If the digits are reversed, the number becomes smaller by 594. Find the number.

252 km - marked na tama, pero 225 km pag sinolve so idk….

A man left Sta. Rosa City to drive to Lopez, Quezon at 6:15 pm and arrived at 11:45 pm. If he averaged 50 kph and stopped 1 hour for dinner, how far is Lopez, Quezon from Sta. Rosa City?

16

If x varies directly as y and inversely as z, and x = 14 when y = 7 and z = 2, find the value of x when z = 4 and y = 16.

16 %

Lucy sold 100 pirated DVD. Eighty of them were sold at a profit of 30% while the rest were sold at a loss of 40%. What is the percentage gain or loss on the whole stock?

11

How many terms of the sequence –9, –6, –3, … must be taken so that the sum is 66?

13 120

There are 6 geometric means between 4 and 8748. Find the sum of all terms.

277 200

How many permutations can be made out of the letters of the word ENGINEERING?

0.10714

A bag contains 3 white and 5 red balls. If two balls are drawn at random, find the probability that both are white.

5

Determine the absolute value of the complex number 3 + 4i.

0

Simplify i^1997 + i^1999, where i is an imaginary number.

90o

The sum of the two interior angles of a triangle is equal to the third angle and the difference of the two angles is equal to 2/3 of the third angle. Find the third angle.

40

Evaluate the integral of (3x² + 9y²) dx dy if the interior limit has an upper limit of y and a lower limit of 0, and the outer limit has an upper limit of 2 and lower limit of 0.

Symmetric axiom

If a = b, then b = a. This illustrates which of the following axioms in algebra?