1.
Find the HCF of 9, 15, and 24.
Correct Answer
C. 3
Explanation
The highest common factor (HCF) of 9, 15, and 24 is 3. To find the HCF, we can list the factors of each number and find the largest factor that is common to all three numbers. 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 largest factor that is common to all three numbers is 3, so the HCF is 3.
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 because the number 1,347,000 is written as "one million three hundred and forty-seven thousand."
3.
Find The LCM of 20, 24, and 30.
Correct Answer
A. 120
Explanation
The LCM (Least Common Multiple) is the smallest number that is divisible by all the given numbers without leaving any remainder. To find the LCM of 20, 24, and 30, we can start by finding the prime factorization of each number. The prime factorization of 20 is 2 x 2 x 5, 24 is 2 x 2 x 2 x 3, and 30 is 2 x 3 x 5. Then, we take the highest power of each prime factor that appears in any of the numbers, which gives us 2^3 x 3^1 x 5^1. Multiplying these together, we get 120, which is the LCM of 20, 24, and 30.
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 the two numbers together: 695 + 455 = 1150.
Next, we find the difference between 39 and 34: 39 - 34 = 5.
Finally, we divide the sum (1150) by the difference (5): 1150 / 5 = 230.
Therefore, the correct answer is 230.
5.
Multiply 13/5 and 13/18.
Correct Answer
C. 169/90
Explanation
To multiply fractions, we multiply the numerators together and the denominators together. In this case, multiplying 13/5 and 13/18 gives us (13 * 13) / (5 * 18) = 169 / 90.
6.
The 5^{th} multiple of 6 is ……
Correct Answer
C. 30
Explanation
The 5th multiple of 6 can be found by multiplying 6 by 5, which equals 30. Therefore, the correct answer is 30.
7.
. 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. The sum of 29.34 and 837.5 is 866.84.
8.
Express 84 as a product of prime factors
Correct Answer
B. 2x2x3x7
Explanation
The number 84 can be expressed as a product of prime factors by finding the prime numbers that divide evenly into 84. The prime factors of 84 are 2, 2, 3, and 7. Therefore, the correct answer is option 2, which states that 84 can be expressed as 2 x 2 x 3 x 7.
9.
Add up 315 and 231
Correct Answer
D. 546
Explanation
The correct answer is Option 4. To find the sum of 315 and 231, we add the corresponding digits together. Starting from the rightmost digit, 5 plus 1 equals 6. Moving to the next digit, 1 plus 3 equals 4. Finally, adding the leftmost digits, 3 plus 2 equals 5. Therefore, the sum of 315 and 231 is 546.
10.
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 both numbers. The factors of 12 are 1, 2, 3, 4, 6, and 12, while the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Therefore, the only number that is not a factor of both 12 and 24 is 5.
11.
Change to decimal 3/8
Correct Answer
C. 0.375
Explanation
The fraction 3/8 can be changed to a decimal by dividing 3 by 8. When we do this, we get 0.375. Therefore, option 3 is the correct answer.
12.
Evaluate 3 2/5 + 2 2/3
Correct Answer
A. 6 1/15
13.
. What is the value of 1 ½ X 2 1/3
Correct Answer
B. 3 ½
Explanation
To find the product of the mixed numbers 1 ½ and 2 1/3, you can follow these steps:
1. Convert the mixed numbers into improper fractions:
1 ½ = 3/2
2 1/3 = 7/3
2. Multiply the two improper fractions:
(3/2) * (7/3) = (3 * 7) / (2 * 3) = 21/6
3. Simplify the resulting fraction:
21/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
(21 ÷ 3) / (6 ÷ 3) = 7/2
So, the product of 1 ½ and 2 1/3 as a mixed fraction is 3 1/2.
14.
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. These are the numbers that can evenly divide both 15 and 20 without leaving a remainder.
15.
10/3 fraction is called.....
Correct Answer
D. Mixed Fraction
Explanation
The fraction 10/3 is a mixed fraction because it consists of a whole number (10) and a proper fraction (3/3).
16.
MCM in Roman numeral stands for ……
Correct Answer
D. 1900
Explanation
In Roman numerals, MCM represents the number 1900.
Here's the breakdown:
- M represents 1000
- CM represents 900 (CM is a subtractive notation where C is 100 and is subtracted from M, which is 1000, resulting in 900)
17.
Add the following 1.23 + 10.23 + 100.23
Correct Answer
B. 111.69
Explanation
The correct answer is option 2, 111.69. This is the sum of 1.23, 10.23, and 100.23.
18.
Change to mixed fraction 14/9
Correct Answer
B. 15/9
Explanation
To convert the fraction 14/9 into a mixed fraction, you can perform long division:
14 ÷ 9 = 1 with a remainder of 5.
So, 14/9 is equal to 1 whole and 5/9.
Therefore, in mixed fraction form, 14/9 is equal to 1 5/9.
19.
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. So, 4/8 simplifies to 1/2. In decimal form, 1/2 is equal to 0.5. Therefore, the correct answer is option 4.
20.
. Express 5/7 as an equivalent fraction
Correct Answer
A. 10/14
Explanation
To express 5/7 as an equivalent fraction, we can multiply both the numerator and denominator by the same number. In this case, we can multiply both 5 and 7 by 2 to get 10/14. Therefore, the correct answer is Option 1, 10/14.
21.
In a leap year, the month of February has ……….. days.
Correct Answer
B. 29
Explanation
In a leap year, the month of February has 29 days. A leap year occurs every four years, and it is a year that is evenly divisible by 4. This extra day is added to the month of February to keep the calendar year synchronized with the solar year.
22.
Convert 0.88 to percentage.
Correct Answer
A. 88%
Explanation
To convert a decimal to a percentage, you multiply the decimal by 100. In this case, multiplying 0.88 by 100 gives us 88%. Therefore, the correct answer is option 1, 88%.
23.
Write in words 30,212,150,615
Correct Answer
C. Thirty billion two hundred and twelve million one hundred and fifty thousand six hundred and fifteen
24.
Put the following in its lowest term 125/240
Correct Answer
A. 25/48
Explanation
The correct answer is option 1, 25/48. To put a fraction in its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by that number. In this case, the GCD of 125 and 240 is 5. Dividing both numbers by 5 gives us 25/48, which is the fraction in its lowest terms.
25.
. Which of the following is a pure number?
Correct Answer
B. 31
Explanation
The number 31 is a pure number because it is a whole number that is not a fraction or a decimal. It does not have any units or physical meaning attached to it. It is simply a numerical value. The other options (25, 36, and 42) are also whole numbers, but they are not considered pure numbers because they can also represent quantities with units or physical meaning.
26.
Find the difference between 25.00015 and 19.6025.
Correct Answer
A. 5.39765
Explanation
The difference between 25.00015 and 19.6025 is 5.39765.
27.
What is the place value of 8 in 238056
Correct Answer
C. Thousands
Explanation
The place value of a digit refers to the position of the digit in a number, which determines its value. In the given number, 238056, the digit 8 is in the thousands place. Therefore, the place value of 8 in 238056 is 8,000.
28.
Write in words: 4510015
Correct Answer
B. Four million five hundred and ten thousand and fifteen
Explanation
The correct answer is Four million five hundred and ten thousand and fifteen
29.
Write as improper fraction 22/3
Correct Answer
A. 8/3
Explanation
To convert the mixed number 22/3 into an improper fraction, we follow this procedure:
22/3 = (3 × 7 + 1)/3 = 21/3 + 1/3 = 7 + 1/3
Therefore, the improper fraction is:
22/3 = 7 + 1/3
So, the correct answer is (A) 22/3.
30.
Which is the greatest in the following -19, -7, +4, +3, -5.
Correct Answer
C. +4
Explanation
The greatest number in the given options is +4.
31.
The 5^{th} multiple of 6 is ……
Correct Answer
C. 30
Explanation
The 5th multiple of 6 can be found by multiplying 6 by 5, which equals 30.