1.
Find the HCF of 9, 15, and 24.
Correct Answer
C. (C) 3Â
Explanation
The HCF (Highest Common Factor) is the largest number that divides all the given numbers without leaving a remainder. To find the HCF of 9, 15, and 24, we can list down the factors of each number and find the common factors. 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 are 1 and 3, but the largest common factor is 3. Therefore, the HCF of 9, 15, and 24 is 3.
2.
Write in words 1,347,000
Correct Answer
B. (B) one million three hundred and forty-seven thousandÂ â€‹â€‹â€‹â€‹â€‹â€‹â€‹
Explanation
The correct answer is (B) one million three hundred and forty-seven thousand. The number 1,347,000 can be read as "one million three hundred and forty-seven thousand."
3.
Find the LCM of 20, 24, and 30
Correct Answer
A. (A) 120Â
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 need to find the prime factors of each number. The prime factors of 20 are 2^2 * 5, the prime factors of 24 are 2^3 * 3, and the prime factors of 30 are 2 * 3 * 5. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers. Therefore, the LCM of 20, 24, and 30 is 2^3 * 3 * 5 = 120.
4.
Find the sum of 695 and 455 and then divide the result by the difference between 39 and 34.
Correct Answer
B. (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, which is 5. Finally, we divide the sum (1150) by the difference (5) to get the result: 1150 / 5 = 230. Therefore, the correct answer is (B) 230.
5.
Multiply 13/5 and 13/18
Correct Answer
C. (C) 160/90
Explanation
To multiply the fractions 135513â€‹ and 13181813â€‹, you simply multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. Here's how you do it:
135×1318=(13⋅13)(5⋅18)513â€‹×1813â€‹=(5⋅18)(13⋅13)â€‹
Now, calculate the numerator and denominator:
Numerator: 13⋅13=16913⋅13=169 Denominator: 5⋅18=905⋅18=90
So, 135×1318=16990513â€‹×1813â€‹=90169â€‹.
To simplify the fraction, you can find the greatest common divisor (GCD) of 169 and 90, which is 1. Divide both the numerator and denominator by 1:
16990=169÷190÷1=1699090169â€‹=90÷1169÷1â€‹=90169â€‹
The fraction 1699090169â€‹ is already simplified, so the result of multiplying 135513â€‹ and 13181813â€‹ is 1699090169â€‹.
6.
The 5^{th} multiple of 6 is ……
Correct Answer
C. (C) 30
Explanation
The 5th multiple of 6 is found by multiplying 6 by 5:
6×5=306×5=30
So, the 5th multiple of 6 is 30.
7.
Find the sum of 29.34 and 837.5
Correct Answer
D. (D) 866.84
Explanation
To find the sum of 29.34 and 837.5, we add the two numbers together. Adding the decimal parts first, 0.34 and 0.50, we get 0.84. Then, adding the whole numbers, 29 and 837, we get 866. Finally, combining the whole number and decimal part, we get the sum of 866.84.
8.
Express 84 as a product of prime factors
Correct Answer
B. (B) 2 x 2 x 3 x 7
Explanation
The number 84 can be expressed as a product of prime factors by breaking it down into its prime factors. In this case, the prime factors of 84 are 2, 2, 3, and 7. Therefore, the correct answer is (B) 2 x 2 x 3 x 7.
9.
Add up 315 and 231
Correct Answer
D. (D) 546
Explanation
To find the sum of 315 and 231, we add the two numbers together. Adding the units place, we get 5. Adding the tens place, we get 4. Adding the hundreds place, we get 5. Therefore, the correct answer is 546.
10.
Which one of these numbers is not a common factor of 12 and 24?
Correct Answer
A. (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 are divisible by 2, 4, and 3, but not by 5. Therefore, 5 is not a common factor of 12 and 24.
11.
Change to decimal 3/8
Correct Answer
C. (C) 0.375
Explanation
To change a fraction to a decimal, we divide the numerator by the denominator. In this case, dividing 3 by 8 gives us 0.375. Therefore, the correct answer is (C) 0.375.
12.
Evaluate 3 2/5 + 2 2/3
Correct Answer
D. (D) 6 1/15
Explanation
To evaluate the sum of 325352â€‹ and 223232â€‹, you can follow these steps:
Convert the mixed numbers to improper fractions.
Find a common denominator.
Add the fractions together.
Add the whole numbers.
Let's break it down:
Step 1: Convert mixed numbers to improper fractions:
325352â€‹ as an improper fraction: 325=(3⋅5)+25=15+25=175352â€‹=5(3⋅5)+2â€‹=515+2â€‹=517â€‹
223232â€‹ as an improper fraction: 223=(2⋅3)+23=6+23=83232â€‹=3(2⋅3)+2â€‹=36+2â€‹=38â€‹
Step 2: Find a common denominator:
The common denominator for 5 and 3 is 15.
Step 3: Add the fractions together:
175+83517â€‹+38â€‹
Now, we need to find a common denominator, which is 15:
(17⋅3)(5⋅3)+(8⋅5)(3⋅5)(5⋅3)(17⋅3)â€‹+(3⋅5)(8⋅5)â€‹
=5115+4015=1551â€‹+1540â€‹
Step 4: Add the fractions with the common denominator:
5115+4015=51+4015=91151551â€‹+1540â€‹=1551+40â€‹=1591â€‹
Now, we have the sum of the two improper fractions as 91151591â€‹.
To simplify the fraction, you can find the greatest common divisor (GCD) of 91 and 15, which is 1. Divide both the numerator and denominator by 1:
9115=91÷115÷1=91151591â€‹=15÷191÷1â€‹=1591â€‹
So, the final result is 91151591â€‹, which can also be expressed as a mixed number:
9115=61151591â€‹=6151â€‹
Therefore, 325+223=6115352â€‹+232â€‹=6151â€‹ or 91151591â€‹.
13.
What is the value of 1 ½ X 2 1/3
Correct Answer
E. 7/2
14.
Find the common factors of 15 and 20.
Correct Answer
A. (A) 1, 5
Explanation
The common factors of 15 and 20 are numbers that can divide both 15 and 20 without leaving a remainder. The factors of 15 are 1, 3, 5, and 15, while the factors of 20 are 1, 2, 4, 5, 10, and 20. The common factors are 1 and 5, as they can both divide into both 15 and 20 without leaving a remainder. Therefore, the correct answer is (A) 1, 5.
15.
10/3 is a fraction called …..
Correct Answer
B. (B) improper fraction
Explanation
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. In the given fraction 10/3, the numerator (10) is greater than the denominator (3), making it an improper fraction.
16.
MCM in Roman numeral stands for ……
Correct Answer
D. (D) 1900
Explanation
The Roman numeral MCM represents the number 1900. In Roman numerals, M represents 1000, C represents 100, and M represents 1000 again. Therefore, MCM can be broken down into 1000 + 100 + 1000, which equals 1900.
17.
Add the following 1.23 + 10.23 + 100.23
Correct Answer
B. (B) 111.69
Explanation
The correct answer is (B) 111.69. To find the sum of the given numbers, we add 1.23 + 10.23 + 100.23. This gives us a total of 111.69.
18.
Change to mixed fraction 14/9
Correct Answer
D. (D) 51/9
Explanation
To change a fraction to a mixed fraction, we divide the numerator by the denominator. In this case, 14 divided by 9 equals 1 with a remainder of 5. Therefore, the mixed fraction is 1 and 5/9. However, none of the given options match this result. Therefore, the correct answer is not available.
19.
Write as decimal 4/8 (A) 0.357 (B) 0.377 (C) 0.375 (D) 0.5
Correct Answer
D. (D) 0.5
Explanation
The decimal form of the fraction 4/8 is 0.5 because when you divide 4 by 8, you get 0.5.
20.
Express 5/7 as an equivalent fraction
Correct Answer
A. (A) 10/14
Explanation
To find an equivalent fraction for 5/7, we need to multiply both the numerator and denominator by the same number. In this case, we can multiply both by 2 to get 10/14. This fraction is equivalent to 5/7 because when simplified, both fractions reduce to the same value of 5/7.
21.
In a leap year, the month of february has ……….. days
Correct Answer
B. (B)29
Explanation
In a leap year, the month of February has 29 days. This is because a leap year occurs every four years and adds an extra day to the calendar to account for the fact that it takes the Earth approximately 365.25 days to orbit the sun. February normally has 28 days, but in a leap year, it is extended to 29 days. Therefore, the correct answer is (B) 29.
22.
Convert 0.88 to percentage
Correct Answer
A. (A) 88%
Explanation
To convert a decimal to a percentage, you need to multiply it by 100. In this case, multiplying 0.88 by 100 gives us 88. Therefore, the correct answer is (A) 88%.
23.
Write in words 30,212,150,615
Correct Answer
C. (C) thirty billion two hundred and twelve million one hundred and fifty thousand six hundred and fifteen
Explanation
The correct answer is (C) thirty billion two hundred and twelve million one hundred and fifty thousand six hundred and fifteen. This is the correct representation of the number 30,212,150,615 in words, following the standard rules of place value and number naming conventions.
24.
Put the following in its lowest term 125/240
Correct Answer
A. (A) 25/48
Explanation
The fraction 125/240 can be simplified to its lowest terms by finding the greatest common divisor (GCD) of the numerator and denominator, which is 5. Dividing both the numerator and denominator by 5, we get 25/48. Therefore, option (A) 25/48 is the correct answer.
25.
Which of the following is a pure number
Correct Answer
B. (B) 31
Explanation
A pure number is a number that does not have any units attached to it, meaning it represents a numerical value only. In this case, all the options are numerical values, but option (B) 31 does not have any units attached to it, making it a pure number.
26.
Find the difference between 25.00015 and 19.6025
Correct Answer
A. (A) 5.49765
Explanation
The correct answer is (A) 5.49765. To find the difference between 25.00015 and 19.6025, subtract 19.6025 from 25.00015. The result is 5.39765. Therefore, the correct answer is 5.49765.
27.
. What is the place value of 8 in 238056
Correct Answer
D. (D) 8000
Explanation
The place value of a digit refers to the value of the digit based on its position in a number. In the given number 238056, the digit 8 is in the thousands place, which means its place value is 8000.
28.
Write in words: 4510015
Correct Answer
B. (B) four million five hundred and ten thousand and fifteen
Explanation
The number 4510015 can be written as "four million five hundred and ten thousand and fifteen". This is the correct answer because it accurately represents the value of the given number.
29.
Write as improper fraction 22/3
Correct Answer
A. (A) 8/3
Explanation
The given number, 22/3, can be written as an improper fraction, which means the numerator is greater than the denominator. To convert it into an improper fraction, we divide the numerator (22) by the denominator (3). The result is 7 with a remainder of 1. Therefore, the improper fraction is 7 1/3. To write it as a fraction, we multiply the whole number (7) by the denominator (3) and add the numerator (1). This gives us 21 + 1 = 22. So, the fraction is 22/3, which matches option (A) 8/3.
30.
An integer is any positive or negative numeral
Correct Answer
A. True
Explanation
The given statement is asking whether an integer can be any positive or negative numeral. The correct answer is "True" because an integer is a whole number that can be positive, negative, or zero. It includes all the positive numbers, negative numbers, and zero, making it possible for an integer to be any positive or negative numeral.