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2018 E.C.
2018 E.C. · social · Q37 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
Two six face dice are thrown at a time. What is the probability of getting the sum of the outcome is a prime number?
A.32
B.127
C.85
D.125
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q38 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
There are three red, four yellow and three green balls in a bag. If two balls are picked randomly from the bag at a time, what is the probability of getting at least one green ball?
A.457
B.158
C.157
D.31
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q39 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
At a market, the price of Papaya is twice the price of Banana per kilogram. If I pay Birr 280 for 2 kilograms of Banana and 1 kilogram of Papaya, then how much is the price of Papaya per kilogram in Birr?
A. 70
B. 140
C. 210
D. 100
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q40 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
Fifty percent of one fifth of 120 is equivalent to twenty percent of two third of a number. Which one of the following is this number?
A. 90
B. 16
C. 36
D. 75
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q41 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
A person is given the colors blue, red and green and asked to paint six houses in a row. The rules are: R1: No two neighboring houses can have the same color. R2: The second and the last houses must have same color. R3: The third and fifth houses cannot have the same color. Then which houses will always have the same color?
A. The fourth and the sixth
B. The first and the sixth
C. The first and the fourth
D. The second and the fifth
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q42 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
In a household, there are three mothers, six daughters and four granddaughters living together. What is the smallest possible number of females in the house?
A. 9
B. 7
C. 12
D. 13
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q43 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
For x,y=0,x=y, which one of the following is the simplified form of x2−y2(x−y)2[(x1+y1)÷(y1−x1)]
A.∅
B. 0
C. -1
D. 1
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q44 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
Let x and y be real numbers such that 0<x<1 and 0<y<1. Consider the two quantities A and B given in the following table. Quantity AQuantity B xyx+y Which one of the following is true?
A. The two quantities are equal.
B. The relationship cannot be determined.
C. Quantity A is greater than quantity B.
D. Quantity B is greater than quantity A.
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q45 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
Three people X, Y and Z can finish a certain job in 3, 4 & 6 hours respectively. All the three started to do the job together, but after 1 hour X decides to quit and left the group. How many minutes will it take for Y and Z together to finish the remaining job?
A. 20
B. 25.7
C. 36
D. 30
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q46 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
Suppose that a driver drives a car at a speed of 20 km/hr for the first one hour, then increases the speed to 45 km/hr for the next three hours and lastly decreases the speed to 30 km/hr for the two hours. How many kilometers has the driver covered in total?
A. 95
B. 100
C. 215
D. 75
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q47 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
Consider the two quantities A and B given in the following table. Quantity AQuantity B Circumference of a circle with radius 2 unitsPerimeter of an equilateral triangle with side length 4 units Which one of the following is true?
A. Quantity A is greater than quantity B.
B. The relationship cannot be determined.
C. Quantity B is greater than quantity A.
D. The two quantities are equal.
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q48 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
Given a rectangular region, which one of the following is the possible unit of measure of area?
A. meters
B. inches
C. cubic centimeter
D. Hectare
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q49 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
Which one of the following is true about the lines 2x−y=2 and x−2y=2?
A. They are parallel lines.
B. They are intersecting lines.
C. They have the same y-intercept.
D. They are Perpendicular lines.
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q50 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
Given a parallelogram with length of base is 2x units and length of the other side x units. An equilateral triangle of side length x units and height equal to the height of the parallelogram is removed from one side of the parallelogram. What is the area of the remaining trapezoid?
A.433x2
B.23x2
C.43x2
D.3x2
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q51 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
Which one of the following is the simplified form of the expression 12+86(21+31)?
A.2
B.21
C.1
D.21
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q52 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
What is the nature of the roots of the equation x2−3x+3=0?
A. No real roots
B. one root rational
C. Distinct real roots
D. Repeated real roots
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q53 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
An employer deals with a worker to start with monthly salary of Birr 1,000 and promise to double the salary every year. For how many years will the worker stay in the job to get a better salary not exceeding Birr 10,000?
A. 5
B. 6
C. 4
D. 9
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q54 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
A tour company has a discount package for a round trip from place P to place Q. The discount price is Birr (1000−4x) per person from x travelers. How many people should use the package so that the company has maximum income?
A. 150
B. 200
C. 250
D. 125
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
2018 E.C. · social · Q55 · Quantitative - Arithmetic
Section Two: Quantitative Reasoning (Questions 36-60) Directions: This section contains 25 quantitative reasoning items which consist of percentage, probability, mathematical logical analytical reasoning, comparison of algebra, quadratic equation, exponentials, rational, linear equations, ratios, Solve each of the problems given in questions 36 - 60 according to their specific two quantities, geometry and trigonometry, and data interpretation using table. instructions and select the correct answer from the given four alternatives. Then, blacken the letter of your choice on the separate answer sheet provided.
If 3x−2y=1, then what is the value of 93x+1⋅82y−x362y+1?
A.92x
B.98
C.92
D.4x
Worked solutionUnofficial
No keyed letter is published for this item. No keyed letter is published for this 2018 E.C. social item (Quantitative - Arithmetic). The bank has no key we trust (often an unkeyed 2018 item, a missing figure, or confidence none). Try the options yourself, then practise the same subject timed in the app.
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