Grade 9 Logical Reasoning

Size: px

Start display at page:

Download "Grade 9 Logical Reasoning"

Katherine Cox
5 years ago
Views:

1 ID : ae-9-logical-reasoning [] Grade 9 Logical Reasoning For more such worksheets visit Answer t he quest ions () Kalid is brother of Akram. Aziza is sister of Kalid. Abdul is brother of Aiesha. Aiesha is daughter of Akram. Gadil is f ather of Aziza. Who is the uncle of Abdul? (2) There are two solution of acid S and S 2, such that S contains 70% acid whole S 2 contains 80% acid. What quantities of S and S 2 should me mixed to get liters of solution that contains 77% acid. (3) Fatin can complete some work in 60 days, while Amir can complete the same work in 40 days. They started the work together, and when the work was half complete, Amir f ell ill and Fatin had to f inish the remaining work. How long did it take to complete the work? (4) If f (x) = x + 5, g(x) = 5x and h(x) = 4/x, f ind the value of f - (g(h(4))). (5) 392 people work at an of f ice. 3 7 of the workers are women, and 3 4 of the people are married. What is the maximum possible number of unmarried women at the of f ice? (6) If N = 2, f ind the sum of digits in the expansion of N. (7) A shopkeeper sells a book f or Dhs8 and losses / of what it costs him. Find the cost price of book. Choose correct answer(s) f rom given choice (8) If xy represents a two-digit number, where x and y are positive single digits, which of the f ollowing CANNOT be true? a. 4x = y b. x - y = 9 c. x + y = 6x d. x = y (9) If Atiya drives at two third of her usual speed, she covers a certain distance in 3 hours more than the time she takes while driving at her usual speed. Find the time taken by her to cover this distance with her usual speed. a. 7 hours b. 5 hours c. 6 hours d. 8 hours () You are given a set of tiles which are numbered f rom to 2. You do the f ollowing operations repeatedly: you remove all those tiles that are numbered with a perf ect square, and renumber the remaining tiles consecutively starting with. How many times must you perf orm the operation bef ore you are lef t with tile? a. 22 b. 2 c. 20 d. 9

2 ID : ae-9-logical-reasoning [2] () One morning af ter sunrise, Ain was standing f acing a pole. The shadow of the pole f ell exactly to her lef t. Which direction was she f acing? a. North b. East c. South d. West (2) In an exam with two subjects, 65% passed the f irst subject, and 65% passed the second subject. 25% f ailed in both the subjects. If 297 passed in both subjects, then how many wrote the exam? a. 540 b. 560 c. 520 d. 530 (3) Bibi, Faiza, Hasan, Adila, Aleser, and Akila are playing game by f orming two teams of three players in each team. How many dif f erent ways can they be put into two teams of three players? a. 20 b. c. 30 d. 2 (4) Adiva and Fatima are standing together on a sunny day. Adiva's shadow is f eet long and Fatima's shadow is 9 f eet long. How tall is Fatima? Which of f ollowing statements are suf f icient to answer the question. I. Adiva is 5 f eet tall. II. Adiva is standing 4 f eet away f rom Fatima. a. Statement II alone is suf f icient to answer the problem. b. Statement I alone is suf f icient to answer the problem. c. Statements I and II both are not suf f icient d. Statements I and II both are needed. Fill in the blanks (5) There are boys and 2 girls students in a school. Principal wants to divide them in section such that a section can have only boys or only girls. If all sections should have same number of students, and principal wants to have as f ewer section as possible, there would be sections in the school. 206 Edugain ( All Rights Reserved Many more such worksheets can be generated at

3 Answers ID : ae-9-logical-reasoning [3] () Kalid Kalid is the brother of Akram. Aziza is the sister of Kalid. So Aziza is also the sister of Akram. Abdul is the brother of Aiesha. Aiesha is the daughter of Akram. So Akram is also the f ather of Abdul Step 5 Gadil is the f ather of Aziza. So Gadil is also the f ather of Kalid and Akram. Step 6 Since Aziza is f emale, she cannot be uncle of Abdul, theref ore only possibility is Kalid. Step 7 Theref ore, Kalid is the uncle of Abdul. (2) 3 liters of S and 7 liters of S 2 (3) 42 days Fatin can complete a work in 60 days. So in day it would complete /60 of the work. So in 'x' days it would complete x/60 of the work. Amir can complete a work in 40 days. So in day it would complete /40 of the work. So in 'x' days it would complete x/40 of the work. Here when both Fatin and Amir work together, they complete only half of the work. So the equation f ormed would be x/60 + x/40 = /2 Solving this we get x = 2 Step 5 We know that the remaining work was completed by Fatin. So if Fatin takes 60 days to complete the whole work, then it would take 60/2 days to complete half load of work lef t Step 6 So the total time required to complete the work is /2 = 42 days.

4 (4) 0 ID : ae-9-logical-reasoning [4] Since f (x) = x + 5, f - (x) = x - 5 f - (g(h(4))) = f - (g(4/4)) = f - (g()) = f - (5 ) = f - (5) = 5-5 = 0 (5) 70 (6) 6 (7) Dhs20 According to the question, we have been asked to f ind the cost price of a book. Let's the cost price of the book be x. Selling Price, S.P. = Dhs8 Loss = of cost price = Loss = Cost Price - Selling Price x = x - 8 x 8 = x - x 8 = x( - 8 = x( - 8 = x( 9 ) ) ) 8 x = 9 x = 20 Theref ore, the cost price of book is Dhs20.

5 (8) b. x - y = 9 ID : ae-9-logical-reasoning [5] 4x = y The digit y of the number xy is 4 times the digit x, if xy = 4. 4 is a two digit number of positive digits and hence 4x = y is true. x - y = 9 is possible only if 9-0 = 9 So, y = 9 and x = 0 and the number would be 09, which is one digit number and hence, x - y = 9 cannot be true. x + y = 6x y = 6x - x y = 5x The digit y of the number xy is 5 times the digit x if xy = 5. 5 is a two digit number of positive digits and hence x + y = 6x is true. It is given that x and y are positive. Both digits of the number xy may be equal if the number xy = is a two digit number of positive digits and hence x = y is true. (9) c. 6 hours () c. 20 () a. North (2) a. 540 (3) b. (4) b. Statement I alone is suf f icient to answer the problem.

6 (5) 32 ID : ae-9-logical-reasoning [6] The principal wants to divide students in section such that a section can have only boys or only girls and all sections should have same number of students. Theref ore both total number of boys and total number of girls should be f ully divisible by number of students in a section. Also since we want as f ewer section as possible, the number of students in a section should be as high as possible. Theref ore, the number of students in each section = Maximum possible number which f ully divides both number of boys and number of girls, =The HCF of and 2. Calculating the HCF of and 2. All prime f actors of = 2 5, All prime f actors of 2 = , The HCF of and 2 is = 2 5 = The number of students in each section =. The number of sections in the school = The total number of students in the school The number of students in each section = 320 = 32

Grade 8 Full Year 8th Grade Review

ID : ww-8-full-year-8th-grade-review [1] Grade 8 Full Year 8th Grade Review For more such worksheets visit www.edugain.com Answer t he quest ions (1) Find the 6 rational numbers between -3 10 and -7 10.