1.
Identify the missing number at the END of the series.
3, 11, 19, 27, ?
Correct Answer
B. 35
Explanation
The series is increasing by 8 each time. Starting with 3, adding 8 gives us 11, adding 8 again gives us 19, and so on. Therefore, the missing number at the end of the series would be 27 + 8 = 35.
2.
Identify the missing number at the END of the series.3, 6, 11, 18, ?
Correct Answer
D. 27
Explanation
The series starts with 3 and each subsequent number is obtained by adding an increasing odd number (1, 2, 3, etc.) to the previous number. Therefore, to find the missing number at the end of the series, we add 5 (the next odd number) to 18, resulting in 23. However, since 23 is not one of the options, the correct answer is 27, which is obtained by adding 9 (the next odd number) to 18.
3.
Identify the missing number at the END of the series.516, 497, 478, 459, ?
Correct Answer
B. 440
Explanation
The series is decreasing by 19 in each step. Starting from 516, subtracting 19 gives 497, then subtracting 19 gives 478, and so on. Therefore, the missing number at the end of the series should be 459 - 19 = 440.
4.
Identify the missing number at the END of the series.316, 323, 332, 343, ?
Correct Answer
A. 356
Explanation
The series follows a pattern where each number is obtained by adding the previous number with a specific increment. In this case, the increment is increasing by 7 each time. Starting with 316, we add 7 to get 323, then add 9 to get 332, and so on. Therefore, to find the missing number at the end of the series, we add 7 to the last number given (343), resulting in 350. However, none of the options provided match this number. The closest option is 356, which is obtained by adding 13 to 343. Therefore, the missing number at the end of the series is 356.
5.
Identify the missing number at the END of the series.662, 645, 624, 599, ?
Correct Answer
E. 570
Explanation
The series is decreasing by a certain number each time. The first number decreases by 17, the second number decreases by 21, the third number decreases by 25, and the fourth number decreases by 29. Therefore, the missing number at the end of the series should decrease by 33, resulting in 570.
6.
Identify the missing number WITHIN the series.33, ?, 19, 12, 5
Correct Answer
B. 26
Explanation
In the given series, each number is decreasing by a certain pattern. The first number, 33, is decreased by 2 to get 31. Then, 31 is decreased by 3 to get 28. Continuing this pattern, the missing number should be decreased by 4, resulting in 26. Therefore, the missing number within the series is 26.
7.
Identify the missing number WITHIN the series.11, 19, ?, 41, 55
Correct Answer
B. 29
Explanation
The missing number in the series can be found by observing the pattern. The difference between the first two numbers is 8, then 12, then 16. This pattern suggests that the difference between consecutive numbers is increasing by 4 each time. Applying this pattern, the difference between the missing number and 41 should be 20. Therefore, the missing number is 29.
8.
Identify the missing number WITHIN the series. 86, ?, 79, 75, 72, 68
Correct Answer
A. 82
Explanation
In the given series, each number is decreasing by a certain value. The missing number should be less than 86 and greater than 79. By observing the pattern, we can see that each number is decreasing by 7, 4, 7, 4, and so on. Therefore, the missing number should be 82, as it follows the pattern of decreasing by 7.
9.
Identify the missing number WITHIN the series.20, 30, 25, 35, ? 40
Correct Answer
D. 30
Explanation
The series follows a pattern where the first number increases by 10 and the second number increases by 5. The third number decreases by 5 and the fourth number increases by 5. Following this pattern, the missing number should be 30.
10.
Identify the missing number.
Correct Answer
B. 36
Explanation
In the given sequence, each number is obtained by subtracting a certain value from the previous number. The first number, 41, is obtained by subtracting 5 from the previous number. The second number, 36, is obtained by subtracting 1 from the previous number. The third number, 35, is obtained by subtracting 17 from the previous number. The fourth number, 18, is obtained by subtracting 19 from the previous number. Therefore, the missing number should be obtained by subtracting a certain value from the previous number, which is 35. The only option that satisfies this condition is 36.
11.
Identify the missing number.
Correct Answer
D. 55
Explanation
In the given sequence, each number is obtained by adding 1 to the previous number, except for the missing number. The missing number is 55, as it follows the pattern of adding 1 to the previous number.
12.
Identify the missing number.
Correct Answer
A. 3
Explanation
The missing number can be identified by observing the pattern in the given sequence. The first number, 3, is multiplied by 5 to get the second number, 15, which is then added to 1 to get the third number, 16. The third number, 16, is then multiplied by 5 to get the fourth number, 80, which is then subtracted by 32 to get the fifth number, 48. Therefore, the missing number should be the result of multiplying 48 by 5 and then subtracting 32, which is 208.
13.
Identify the missing number.
Correct Answer
B. 96
Explanation
The missing number can be identified by observing the pattern in the given sequence. The first number, 86, increases by 10 to become 96. The second number, 96, decreases by 80 to become 16. The third number, 16, increases by 90 to become 106. The fourth number, 106, decreases by 50 to become 56. Therefore, the missing number should be the next number in the pattern, which is 96.
14.
Identify the missing number.
Correct Answer
D. 10
Explanation
The given sequence is decreasing by 2, 3, 1, and 1 respectively. Therefore, the missing number should be 10.
15.
It costs a manufacturer X Euros per component to make the first 1,000 components. All subsequent components cost X/3 each.
When X = €1.50, how much will it cost to manufacture 4,000 components?
Correct Answer
B. 3,000
Explanation
The cost to manufacture the first 1,000 components is X Euros per component, which is 1.50 Euros. After that, all subsequent components cost X/3 each, which is 1.50/3 = 0.50 Euros. So, to manufacture 4,000 components, the cost for the first 1,000 components would be 1.50 * 1,000 = 1,500 Euros, and the cost for the remaining 3,000 components would be 0.50 * 3,000 = 1,500 Euros. Therefore, the total cost to manufacture 4,000 components would be 1,500 + 1,500 = 3,000 Euros.
16.
A train traveling at 60 km/h enters a tunnel that is 5 km long. The train is 1 km long.
How many minutes does it take for the whole train to pass through the tunnel?
Correct Answer
E. 6
Explanation
The train is traveling at a speed of 60 km/h, which means it covers a distance of 60 km in one hour. Since the length of the tunnel is 5 km and the train is 1 km long, the total distance that needs to be covered is 6 km. Therefore, it will take the train 6 minutes to pass through the entire tunnel.
17.
In the Shelbyville election, the Republican candidate received one and a half times as many votes as the Democrat candidate. The Democrat candidate received one third more votes than the independent candidate. 900 votes were cast for the independent candidate.
How many votes were cast for the Republican candidate?
Correct Answer
E. 1800
Explanation
The independent candidate received 900 votes. The Democrat candidate received one third more votes than the independent candidate, which is (1/3) * 900 = 300 votes more. Therefore, the Democrat candidate received 900 + 300 = 1200 votes. The Republican candidate received one and a half times as many votes as the Democrat candidate, which is 1.5 * 1200 = 1800 votes. Thus, 1800 votes were cast for the Republican candidate.
18.
Anna and John both drive to their new home 400 km away. Anna drives the family car at an average speed of 60 km/h. John drives the removal truck at an average speed of 50 km/h. During the journey, Anna stops for a total of 1 hour and 20 minutes while John stops for half as long.
What is the difference in minutes between their arrival times?
Correct Answer
C. 40
Explanation
During the journey, Anna drives at an average speed of 60 km/h and stops for a total of 1 hour and 20 minutes. This means that Anna spends a total of 1.33 hours (1 hour + 20 minutes converted to hours) on her journey.
John, on the other hand, drives at an average speed of 50 km/h and stops for half as long as Anna. Therefore, John stops for 40 minutes (half of 1 hour and 20 minutes).
To find the difference in their arrival times, we need to subtract the time John spends stopping from the time Anna spends stopping.
1.33 hours - 0.67 hours (40 minutes converted to hours) = 0.66 hours
To convert this to minutes, we multiply by 60:
0.66 hours * 60 minutes/hour = 39.6 minutes
Therefore, the difference in minutes between their arrival times is approximately 40 minutes.
19.
A total of 800 copies of a CD were sold. 60% were sold at a 50% discount, 20% were sold at a 30% discount and the remainder were sold at the full price of €8,95.
What was the approximate total revenue in Euros?
Correct Answer
B. 4,579
Explanation
The approximate total revenue can be calculated by multiplying the number of CDs sold at each price point by the respective price and then summing them up.
For CDs sold at a 50% discount, 60% of 800 is 480. So, the revenue from these CDs would be 480 * (0.5 * 8.95) = 2148.
For CDs sold at a 30% discount, 20% of 800 is 160. So, the revenue from these CDs would be 160 * (0.7 * 8.95) = 1013.6.
The remaining CDs sold at the full price would be 800 - 480 - 160 = 160. So, the revenue from these CDs would be 160 * 8.95 = 1432.
Adding up the revenues from each category, we get 2148 + 1013.6 + 1432 = 4593.6.
Therefore, the approximate total revenue in Euros is 4,579.
20.
In a survey, 3/16 of people said that they preferred to use self-service gas stations. 5/8 said that they preferred not to pump their own gas. The remaining 75 responders said that they had no clear preference.
How many people preferred self-service?
Correct Answer
A. 75