(Gillesania)ALGEBRA SETS 7, 8, 9
C. 1
Problem 7-10: Solve for x if x + 3x + 5x + 7x + ... + 49x = 625 A. 1/4 B. 1/2 C. 1 D. 1/4
C. 7:3
Problem 7-12: If the sum of the first 13 terms of two arithmetic progressions are in the ratio 7:3, find the ratio of these corresponding 7th term. A. 3:7 B. 1:3 C. 7:3 D. 6:7
D. 2xz / (x + z)
Problem 7-13: If 1/x, 1/y, 1/z are in arithmetic progression, then y is equal to: A. x-z B. 1/2(x + 2z) C. (x + z) / 2xz D. 2xz / (x + z)
C. 645, 645
Problem 7-16: The sum of all numbers between 0 and 10,000 which is exactly divisible by 77 is: A. 546, 546 B. 645, 568 C. 645, 645 D. 645, 722
D. 340
Problem 7-17: What is the sum of the following finite sequence terms? 18, 25, 32, 39, ... ,67 A. 27/14 B. 33/28 C. 45/28 D. 20/14
C. 1/11
Problem 7-19: Find the fourth term of the progression 1/2, 0.2, 0.125,... A. 0.102 B. 1/10 C. 1/11 D. 0.099
A. 12
Problem 7-20: The 10th term of the progression 6/5, 4/3, 3/2, ... is: A. 12 B. 10/3 C. 12/3 D. 13/3
A. 13120
Problem 7-24: There are 6 geometric means between 4 and 8748. Find the sum of all the terms. A. 13120 B. 15480 C. 10250 D. 9840
A. 4/3
Problem 7-27: The 1st, 4th and 8th terms of an A.P. are themselves geometric progression (G.P.). What is the common ratio of the G.P. A. 4/3 B. 5/3 C. 2 D. 7/3
D. 5
Problem 7-30: The sum of three numbers in arithmetic progression is 45. If 2 is added to the first number, 3 to the second, and 7 to the third, the new numbers will be in geometrical progression. Find the common difference in A.P. A. -5 B. 10 C. 6 D. 5
A. 36 & 4
Problem 7-31: The geometric mean and the harmonic mean of two numbers are 12 and 36/5 respectively. What are the numbers? A. 36 & 4 B. 72 & 8 C. 36 & 8 D. 72 & 4
C. 76
Problem 7-33: A besiege fortress is held by 5700 men who have provisions for 66 days. If he garrison loses 20 men each day, for how many days can the provisions hold out? A. 60 B. 72 C. 76 D. 82
A. 9122
Problem 7-34: If one third of the air in the tank is removed by each stroke of an air pump, what fractional part of the total air in removed in 6 strokes? A. 0.9122 B. 0.0877 C. 0.8211 D. 0.7145
A. 75 m
Problem 7-35: A rubber ball from a height of 15 m. On each rebound, it rises 2/3 of the height from which it last fell. Find the distance traveled by the ball before it comes to rest. A. 75 m B. 96 m C. 100 m D. 85 m
B. 17.8
Problem 7-36: In the recent Bosnia conflict, the NAIO force captured 6400 soldiers. The provisions on hand will last for 216 meals while feeding 3 meals a day. The provisions lasted 9 more days because o daily deaths. At an average, how many died per day? A. 15.2 B. 17.8 C. 18.3 D. 19.4
C. 20
Problem 7-38: In a benefit show, a number of wealthy men agreed that the first one to arrive would pay 10 centavos to enter and each later arrival would pay twice as much as the preceding man. The total amount collected from all of them was P104,857.50. How many wealthy men had paid? A. 18 B. 19 C. 20 D. 21
D. 12
Problem 7-47: In a class of 40 students, 27 students lice Calculus and 25 like Geometry. How many students like both calculus and Geometry? A. 10 B. 14 C. 11 D. 12
C. 28
Problem 7-48: A class of 40 took examination in Algebra and Trigonometry. If 30 passed Algebra, 36 passed Trigonometry, and 2 failed in both subjects, the number of students who passed the two subjects is: A. 2 B. 8 C. 28 D. 25
C. 45/28
Problem 7-6: Which of the following numbers should be changed to make all the numbers from an arithmetic progression when properly arranged? A. 27/14 B. 33/28 C. 45/28 D. 20/14
B. 2
Problem 7-7: The first term of an arithmetic progression (A.P.) is 6 and the 10th term is 3 times the second term. What is the common difference? A. 1 B. 2 C. 3 D. 4
