1.
Find the HCF of 9, 15, and 24.
Correct Answer
C. 3
Explanation
The HCF (Highest Common Factor) is the largest number that divides all the given numbers without leaving a remainder. In this case, the factors of 9 are 1, 3, and 9. The factors of 15 are 1, 3, 5, and 15. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The common factors of all three numbers are 1 and 3. The largest common factor is 3, so it is the HCF of 9, 15, and 24.
2.
Write in words 1,347,000
Correct Answer
B. One million three hundred and forty-seven thousand
Explanation
The correct answer is "one million three hundred and forty-seven thousand." This is the correct way to write the number 1,347,000 in words.
3.
The LCM of 20, 24, and 30
Correct Answer
A. 120
Explanation
The LCM (Least Common Multiple) is the smallest multiple that is divisible by all the given numbers. To find the LCM of 20, 24, and 30, we can list the multiples of each number and find the smallest common multiple. The multiples of 20 are 20, 40, 60, 80, 100, 120, ... The multiples of 24 are 24, 48, 72, 96, 120, ... The multiples of 30 are 30, 60, 90, 120, ... The smallest common multiple of all three numbers is 120, which is the LCM.
4.
Find the sum of 695 and 455 and then divide the result by the difference between 39 and 34.
Correct Answer
B. 230
Explanation
To find the sum of 695 and 455, we add them together: 695 + 455 = 1150.
Then, we find the difference between 39 and 34: 39 - 34 = 5.
Finally, we divide the result of the sum (1150) by the difference (5): 1150 / 5 = 230. Therefore, the correct answer is 230.
5.
The 5^{th} multiple of 6 is â€¦â€¦
Correct Answer
C. 30
Explanation
The question asks for the 5th multiple of 6. To find this, we can multiply 6 by 5, which equals 30. Therefore, the correct answer is 30.
6.
Find the sum of 29.34 and 837.5
Correct Answer
D. 866.84
Explanation
The correct answer is 866.84. To find the sum of 29.34 and 837.5, we add the two numbers together. 29.34 + 837.5 equals 866.84.
7.
Express 84 as a product of prime factors
Correct Answer
B. 2 x 2 x 3 x 7
Explanation
The prime factorization of 84 is 2 x 2 x 3 x 7. This means that 84 can be expressed as the product of these prime numbers.
8.
Add up 315 and 231
Correct Answer
D. 546
Explanation
The correct answer is 546 because when you add 315 and 231 together, you get a sum of 546.
9.
Which one of these numbers is not a common factor of 12 and 24?
Correct Answer
A. 5
Explanation
The number 5 is not a common factor of 12 and 24 because it does not divide evenly into either of them. Both 12 and 24 can be evenly divided by 2, 3, and 4, but not by 5.
10.
Change to decimal 3/8
Correct Answer
C. 0.375
Explanation
To change a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). In this case, dividing 3 by 8 gives a decimal value of 0.375.
11.
Find the common factors of 15 and 20.
Correct Answer
A. 1, 5
Explanation
The common factors of 15 and 20 are 1 and 5. This is because both numbers can be divided evenly by 1, and they can also be divided evenly by 5.
12.
10/3 is a fraction called …..
Correct Answer
B. Improper fraction
Explanation
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. In this case, 10 is greater than 3, so it is an improper fraction.
13.
MCM in Roman numeral stands for ……
Correct Answer
D. 1900
14.
Add the following 1.23 + 10.23 + 100.23
Correct Answer
B. 111.69
Explanation
The correct answer is 111.69 because when we add 1.23, 10.23, and 100.23 together, we get a sum of 111.69.
15.
Write as decimal 4/8
Correct Answer
D. 0.5
Explanation
The given fraction 4/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4. After simplification, the fraction becomes 1/2. In decimal form, 1/2 is equal to 0.5.
16.
In leap year, the month of february has ……….. days
Correct Answer
B. 29
Explanation
In a leap year, the month of February has 29 days. This is because a leap year occurs every 4 years and has an extra day added to the calendar to account for the Earth's orbit around the sun. This extra day, known as February 29th, ensures that the calendar stays in sync with the solar year.
17.
Convert 0.88 to percentage
Correct Answer
A. 88%
Explanation
To convert a decimal number to a percentage, you need to multiply it by 100. In this case, 0.88 multiplied by 100 equals 88. Therefore, 0.88 is equivalent to 88%.
18.
Which of the following is a pure number
Correct Answer
B. 31
Explanation
A pure number is a number that does not have any units or dimensions associated with it. In this case, all the given options are numbers, but only 31 does not have any units or dimensions attached to it. Therefore, 31 is the pure number among the given options.
19.
Which of the following options represents the simplest form of the fraction 125/240
Correct Answer
A. 25/48
Explanation
To simplify the fraction 125/240â€‹, we find the greatest common factor (GCF) of the numerator (125) and the denominator (240), which is 5. Dividing both the numerator and denominator by 5, we get 25/48 as the simplest form of the fraction.
20.
What is the place value of 8 in 238056
Correct Answer
D. 8000
Explanation
The correct answer is 8000 because the place value of a digit is determined by its position in the number. In the given number 238056, the digit 8 is in the thousands place, which means it represents 8000.
21.
Find the prime factors of 18
Correct Answer
D. 2, 3 and 3
Explanation
The prime factors of 18 are 2,3 and 3. This means that 2 and 3 are the prime numbers that, when multiplied together, give the number 18.
22.
An integer is any positive or negative numeral.
Correct Answer
A. True
Explanation
An integer is any positive or negative numeral without any decimal or fractional part. It includes whole numbers and their negative counterparts. Therefore, the statement that an integer is any positive or negative numeral is true.
23.
Which is greatest 4^{2}, 3^{3} or 2^{4}?
Correct Answer
C. 3^{3}
24.
Express correct 14.467 to 2 decimal places
Correct Answer
C. 14.47
Explanation
The correct answer is 14.47 because when expressing a number to 2 decimal places, we round the number to the nearest hundredth. In this case, 14.467 is closer to 14.47 than it is to 14.46, so we round up to 14.47.
25.
Find the prime factors of 15
Correct Answer
D. 3,5
Explanation
The prime factors of 15 are 3 and 5. This means that 3 and 5 are the prime numbers that, when multiplied together, give the result of 15.
26.
. The H.C.F. of 8 and 12
Correct Answer
B. 4
Explanation
The H.C.F. (Highest Common Factor) is the largest number that divides both 8 and 12 without leaving a remainder. To find the H.C.F., we can list the factors of both numbers and find the largest common factor. The factors of 8 are 1, 2, 4, and 8, while the factors of 12 are 1, 2, 3, 4, 6, and 12. The largest common factor is 4, which is the H.C.F.
27.
Round off 394.672 to 2 significant figure
Correct Answer
C. 390
Explanation
394.672 rounded to 2 significant figures would be 390. This is because the first significant figure is 3, and the second significant figure is 9. Since the digit following the second significant figure (4) is less than 5, the second significant figure remains unchanged. Therefore, the correct answer is 390.
28.
The prime factors of 18
Correct Answer
D. 2 and 3
Explanation
The prime factors of a number are the prime numbers that can be multiplied together to get the original number. In this case, the prime factors of 18 are 2 and 3 because 2 multiplied by 3 equals 6, and 6 multiplied by 3 equals 18.
29.
Change 12835 to the nearest thousand
Correct Answer
B. 13,000
Explanation
To round 12835 to the nearest thousand, we look at the hundreds digit. Since it is 8, which is greater than or equal to 5, we round up to the next thousand. Therefore, the nearest thousand to 12835 is 13000.
30.
Round up 1.865 to the nearest whole number
Correct Answer
C. 2
Explanation
To round up 1.865 to the nearest whole number, we need to look at the decimal part of the number. Since the decimal part is greater than or equal to 0.5, we round up the whole number to the next higher integer. In this case, the decimal part is 0.865, which is greater than 0.5. Therefore, we round up 1.865 to the nearest whole number, which is 2.
31.
Change 70% to a fraction.
Correct Answer
B. 7/10
Explanation
The correct answer is 7/10 because to convert a percentage to a fraction, you divide the percentage by 100. In this case, dividing 70 by 100 gives us 7/10.
32.
Binary Numeral consists 0 and 1.
Correct Answer
A. True
Explanation
A binary numeral is a number system that consists of only two digits, 0 and 1. This means that any number in binary representation can be expressed using only these two digits. Therefore, the statement "Binary numeral consists of 0 and 1" is true.