Free Crossover Aptitude Math Question and Answers — Questions and Answers
Question 1: What value is the smallest of the following?
- 0.0051
- 0.0015 (Correct answer)
- 0.0105
- 0.1005
Correct answer: 0.0015
To compare decimal values, you examine the digits from left to right, starting after the decimal point. All options begin with 0.00. Comparing the next digit, 0.0015 has a '1' in the thousandths place, while 0.0051 has a '5', 0.0105 has a '1' in the hundredths place, and 0.1005 has a '1' in the tenths place. Since 1 is the smallest digit in the thousandths place among the relevant options, 0.0015 is the smallest overall.
Question 2: 25% of what number is 53?
- 159
- 212 (Correct answer)
- 13.25
- 141.5
Correct answer: 212
To find the number, you can set up the equation: 0.25 * x = 53, where x is the unknown number. To solve for x, divide 53 by 0.25. Dividing by 0.25 is equivalent to multiplying by 4. Therefore, 53 * 4 = 212. So, 25% of 212 is 53.
Question 3: An analysis of 2500 flu patients revealed that 28% felt better up to 2 days after taking the initial treatment, 22% felt better up to 4 days later, and the other patients reported no change. How many people did not respond well to the treatment?
- 60
- 1250 (Correct answer)
- 1000
- 90
Correct answer: 1250
First, calculate the total percentage of patients who felt better: 28% + 22% = 50%. This means that the remaining percentage, 100% - 50% = 50%, did not respond well to the treatment. To find the number of patients, calculate 50% of the total 2500 flu patients. 0.50 * 2500 = 1250 patients.
Question 4: When it traveled 200 miles in 10 minutes, the Formula One race car smashed the world record. How many mph did it drive at?
- 250
- 500
- 1500
- 1200 (Correct answer)
Correct answer: 1200
The car traveled 200 miles in 10 minutes. To find the speed in miles per hour (mph), first convert 10 minutes to hours by dividing by 60 (10 minutes / 60 minutes/hour = 1/6 hour). Then, divide the distance by the time: 200 miles / (1/6 hour) = 200 * 6 = 1200 mph. The car drove at an astonishing speed of 1200 mph.
Question 5: The average number of photographs in three photo albums is 23, with 12 in one, 24 in the other, and 33 in the third. If we add an additional six images to the second album, how many photos will each album contain on average?
- 20
- 25 (Correct answer)
- 28
- 30
Correct answer: 25
Initially, the total number of photographs in the three albums is the average multiplied by the number of albums: 23 photos/album * 3 albums = 69 photos. If an additional six images are added to the second album, the new total number of photos becomes 69 + 6 = 75 photos. To find the new average, divide the new total by the number of albums: 75 photos / 3 albums = 25 photos per album.
Question 6: 13 | 21 | 34 | 55 | 89 | ?
- 123
- 144 (Correct answer)
- 100
- 107
Correct answer: 144
This sequence follows the Fibonacci pattern, where each number is the sum of the two preceding ones. Starting with 13 and 21, the sequence progresses: 13, 21, 34 (13+21), 55 (21+34), 89 (34+55). Therefore, to find the next number, you add the last two terms: 55 + 89 = 144.
Question 7: What would the following series of letters' next set of letters be? <br> <br> ghg ... hhh ... ihi ... jhj ?
- kkh
- lhl
- khk (Correct answer)
- hkk
Correct answer: khk
Observe the pattern in the series of triplets: the first and third letters are identical, and the middle letter remains constant ('h'). The first letter of each triplet follows an alphabetical sequence (g, h, i, j). Therefore, the next first letter should be 'k'. Combining this with the constant middle 'h' and repeating the first letter for the third, the next set of letters is 'khk'.
What value is the smallest of the following?