1.
20 % of 2 is equal to
Correct Answer
C. 0.4
Explanation
The question asks for 20% of 2, which can be calculated by multiplying 2 by 0.20. This gives us 0.4, which is the correct answer.
2.
The population of a country increased by an average of 2% per year from 2000 to 2003. If the population of this country was 2 000 000 on December 31, 2003, then the population of this country on January 1, 2000, to the nearest thousand would have been
Correct Answer
A. 1 846 000
Explanation
The population of the country increased by an average of 2% per year from 2000 to 2003. To find the population in 2000, we need to calculate the population increase over the 3-year period.
Let's assume the population on January 1, 2000, is P.
From 2000 to 2001, the population would have increased by 2% of P, which is 0.02P.
So, on January 1, 2001, the population would be P + 0.02P = 1.02P.
Similarly, from 2001 to 2002, the population would have increased by 2% of 1.02P, which is 0.02(1.02P) = 0.0204P.
So, on January 1, 2002, the population would be 1.02P + 0.0204P = 1.0404P.
Finally, from 2002 to 2003, the population would have increased by 2% of 1.0404P, which is 0.020808P.
So, on January 1, 2003, the population would be 1.0404P + 0.020808P = 1.061208P.
Given that the population on December 31, 2003, is 2,000,000, we can set up the equation:
1.061208P = 2,000,000
Solving for P, we get P â‰ˆ 1,846,000. Therefore, the population on January 1, 2000, to the nearest thousand would have been 1,846,000.
3.
The exam scores of all 500 students were recorded and it was determined that these scores were normally distributed. If Jane's score is 0.8 standard deviation above the mean, then how many, to the nearest unit, students scored above Jane?
Correct Answer
D. 106
Explanation
Jane's score being 0.8 standard deviation above the mean indicates that she is above the majority of students. Since the scores are normally distributed, we know that approximately 68% of the scores fall within one standard deviation of the mean. This means that approximately 68% of the students scored below Jane. Therefore, the number of students who scored above Jane would be approximately 100% - 68% = 32%. Since there are 500 students in total, 32% of 500 is approximately 160. However, we need to round to the nearest unit, so the answer is 106.
4.
What is the next prime number after 7?
Correct Answer
B. 11
Explanation
The next prime number after 7 is 11 because a prime number is a number that is only divisible by 1 and itself. 9 is not prime because it is divisible by 3, 5 is not prime because it is divisible by 1 and 5, and 14 is not prime because it is divisible by 1, 2, 7, and 14. Therefore, the correct answer is 11.
5.
65 – 43 = ?
Correct Answer
C. 22
Explanation
The correct answer is 22 because when you subtract 43 from 65, you get 22.
6.
What comes after a million, billion and trillion?
Correct Answer
D. A quadrillion
Explanation
After a million, billion, and trillion, the next number is a quadrillion. This is because each term represents an increase in value by a factor of one thousand. A million is equal to one thousand thousand, a billion is equal to one thousand million, a trillion is equal to one thousand billion, and a quadrillion is equal to one thousand trillion.
7.
52 divided by 4 equals what?
Correct Answer
B. 13
Explanation
The correct answer is 13 because when you divide 52 by 4, you get the quotient of 13.
8.
87 + 56 = ?
Correct Answer
C. 143
Explanation
The correct answer is 143 because when we add 87 and 56 together, we get a sum of 143.
9.
How many sides does a nonagon have?
Correct Answer
D. 9
Explanation
A nonagon is a polygon with nine sides. Therefore, the correct answer is 9.
10.
What is the next number in the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ?
Correct Answer
C. 55
Explanation
The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones. In this sequence, 34 is the sum of 21 and 13, so the next number should be the sum of 34 and 21. Therefore, the next number in the sequence is 55.
11.
7 x 9 = ?
Correct Answer
B. 63
Explanation
The correct answer is 63 because when you multiply 7 by 9, you get the product of 63.
12.
What does 3 squared equal?
Correct Answer
D. 9
Explanation
The question is asking for the result of squaring the number 3. When a number is squared, it is multiplied by itself. Therefore, 3 squared is equal to 3 multiplied by 3, which equals 9.
13.
5 to the power of 0 equals what?
Correct Answer
B. 1
Explanation
Any number raised to the power of 0 is always equal to 1. This is a mathematical rule. Therefore, 5 to the power of 0 equals 1.
14.
65 – 43 = ?
Correct Answer
A. 22
Explanation
The correct answer is 22 because when you subtract 43 from 65, you get 22.
15.
What Is 24 X 2?
Correct Answer
B. 48
Explanation
The correct answer is 48 because when you multiply 24 by 2, you get the product of 48.
16.
√25?
Correct Answer
A. 5
Explanation
The square root of 25 is 5 because when a number is multiplied by itself, the result is the number itself. In this case, 5 multiplied by 5 equals 25.
17.
What Is 2 To The Power 4?
Correct Answer
D. 16
Explanation
The question is asking for the result of 2 raised to the power of 4. When a number is raised to a power, it means multiplying the number by itself the specified number of times. In this case, 2 raised to the power of 4 means multiplying 2 by itself 4 times. Therefore, the result is 16.
18.
1318 ÷ 2?
Correct Answer
C. 659
Explanation
The correct answer is 659 because when you divide 1318 by 2, you get the quotient of 659.
19.
0.75 Is The Same As?
Correct Answer
B. 75%
Explanation
The correct answer is 75%. To convert a decimal to a percentage, we multiply the decimal by 100. In this case, 0.75 multiplied by 100 gives us 75%.
20.
A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are seniors, juniors, and sophomores who applied. Each senior's name is placed in the lottery times; each junior's name, times; and each sophomore's name, time. What is the probability that a senior's name will be chosen?
Correct Answer
A. 3/8
Explanation
The probability that a senior's name will be chosen can be calculated by dividing the number of seniors by the total number of students. Since each senior's name is placed in the lottery 3 times, and there are a total of 8 students (seniors + juniors + sophomores), the probability is 3/8.