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Explanation A square is a special type of rhombus where all four angles are right angles (90 degrees), making it both a rhombus and a rectangle. Therefore, a square has four equal sides and four right angles.
A rhombus has four sides of equal length, but its angles are not necessarily 90 degrees. The opposite angles in a rhombus are equal, and the adjacent angles are supplementary (add up to 180 degrees).
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4.
3RD
WHAT IS 4X4+5=?
A.
20
B.
21
Correct Answer
B. 21
Explanation To solve 4×4+5, we follow the order of operations:
Multiplication first:
4×4=16
Addition next:
16+5=21
So, 4×4+5=21
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5.
The number 6 is prime no. or composite no. or neither?
A.
PRIME
B.
COMPOSITE
C.
NIETHER
Correct Answer
B. COMPOSITE
Explanation The number 6 is composite because it can be divided evenly by numbers other than 1 and itself. In the case of 6, it can be divided by 2 and 3 without leaving a remainder. This means that 6 is not a prime number, which is defined as a number that can only be divided by 1 and itself. Therefore, the correct answer is composite.
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6.
DIRIVATIVES/12TH
WHAT IS THE FIRST DIRIVATIVE OF 6X+4?
A.
6
B.
5
Correct Answer
A. 6
Explanation The first derivative of 6x+4 is 6. This is because when we take the derivative of a constant term (in this case, 4), it becomes 0. The derivative of 6x is 6, as the power of x is reduced by 1 and the coefficient (6) remains the same. Therefore, the first derivative of 6x+4 is 6.
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7.
WHAT IS THE FIRST DIRIVATIVE OF 4?
A.
0
B.
1
C.
2
D.
3
Correct Answer
A. 0
Explanation The first derivative of a constant value is always 0. In this case, the constant value is 4, so its first derivative will be 0. The first derivative represents the rate of change of a function at a given point, and since the function is a constant, it does not change and therefore has no rate of change.
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8.
DOES A LINE HAVE SYMMETRY
A.
YES
B.
NO
C.
MAYBE
Correct Answer
A. YES
Explanation A line has symmetry because it can be divided into two equal parts that are mirror images of each other.
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9.
DOES 1+1=2
A.
YES
B.
NO
C.
YES AND NO
D.
YESNO
Correct Answer
A. YES
Explanation The answer is "YES" because in basic arithmetic, when you add 1 and 1 together, the result is 2.
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10.
IS 5 PRIME
A.
True
B.
False
Correct Answer
A. True
Explanation The number 5 is considered prime because it is only divisible by 1 and itself. It does not have any other factors. Prime numbers are unique in that they cannot be formed by multiplying two smaller numbers together.
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11.
1=1
A.
MAYBE YES
B.
MAYBE NO
C.
DEFINETLY
D.
CAN'T SAY
Correct Answer
C. DEFINETLY
Explanation The answer "DEFINETLY" is the correct choice because the statement "1=1" is a mathematical equation that is always true. In mathematics, the symbol "=" denotes equality, and in this case, it means that the value of 1 is equal to the value of 1. Therefore, the answer "DEFINETLY" indicates that the statement is definitely true.
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12.
What is the value of 8 + (3 * 4)?
A.
20
B.
32
C.
14
D.
40
Correct Answer
A. 20
Explanation First, follow the order of operations (PEMDAS/BODMAS):
Perform the multiplication inside the parentheses: 3 * 4 = 12
Then, add the result to 8: 8 + 12 = 20
So, the correct answer is 20.
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