Q. If the word 'COLD' is coded as 'DPME', how is 'WARM' coded?
A.
XBSN
B.
XBRN
C.
XARN
D.
XAMN
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Solution
Each letter is shifted by +1: W->X, A->B, R->S, M->N, so 'WARM' becomes 'XBSN'.
Correct Answer:
A
— XBSN
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Q. If the words 'apple', 'banana', 'cherry', and 'date' are arranged in reverse alphabetical order, which word comes first?
A.
date
B.
cherry
C.
banana
D.
apple
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Solution
In reverse alphabetical order, 'date' comes first.
Correct Answer:
A
— date
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Q. If the words 'cat', 'bat', 'rat', and 'hat' are arranged in alphabetical order, which word comes second?
A.
bat
B.
cat
C.
hat
D.
rat
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Solution
In alphabetical order, 'bat' comes before 'cat', making it the second word.
Correct Answer:
A
— bat
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Q. If the words 'quick', 'brown', and 'fox' are arranged to form a coherent sentence, which of the following is the correct arrangement?
A.
The quick brown fox
B.
Brown quick the fox
C.
Fox the quick brown
D.
Quick the brown fox
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Solution
The correct arrangement that forms a coherent sentence is 'The quick brown fox'.
Correct Answer:
A
— The quick brown fox
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Q. If the work function of a material is 2.5 eV, what is the minimum wavelength of light required to emit photoelectrons?
A.
400 nm
B.
500 nm
C.
600 nm
D.
700 nm
Show solution
Solution
Minimum wavelength (λ) = hc / Φ = (1240 nm·eV) / 2.5 eV = 496 nm.
Correct Answer:
B
— 500 nm
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Q. If the work function of a metal is 2.5 eV, what is the minimum wavelength of light required to emit photoelectrons?
A.
400 nm
B.
500 nm
C.
600 nm
D.
700 nm
Show solution
Solution
Minimum wavelength (λ) = hc / Φ = (1240 nm·eV) / 2.5 eV = 496 nm.
Correct Answer:
B
— 500 nm
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Q. If the work function of a metal is 4.5 eV, what is the threshold wavelength for the photoelectric effect?
A.
400 nm
B.
500 nm
C.
600 nm
D.
700 nm
Show solution
Solution
The threshold wavelength can be calculated using the equation λ = hc/φ. Substituting h = 4.14 x 10^-15 eV·s, c = 3 x 10^8 m/s, and φ = 4.5 eV gives λ ≈ 400 nm.
Correct Answer:
A
— 400 nm
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Q. If the Young's modulus of a material is 100 GPa and it is subjected to a tensile stress of 200 MPa, what is the strain produced?
A.
0.002
B.
0.0025
C.
0.01
D.
0.005
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Solution
Strain = Stress / Young's modulus = 200 MPa / 100 GPa = 0.002.
Correct Answer:
A
— 0.002
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Q. If there are 12 people sitting in a circle and every second person is eliminated, how many will remain after one complete round?
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Solution
After eliminating every second person, 6 people will remain.
Correct Answer:
A
— 6
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Q. If two angles are complementary and one angle is 10 degrees less than the other, what are the measures of the two angles?
A.
40 and 50 degrees
B.
45 and 45 degrees
C.
35 and 55 degrees
D.
30 and 60 degrees
Show solution
Solution
Let the two angles be x and x - 10. Since they are complementary, x + (x - 10) = 90. Solving gives x = 50 degrees, and the other angle is 40 degrees.
Correct Answer:
A
— 40 and 50 degrees
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Q. If two angles are complementary and one angle is 10 degrees less than the other, what are the measures of the angles? (2023)
A.
40 degrees and 50 degrees
B.
45 degrees and 45 degrees
C.
35 degrees and 55 degrees
D.
30 degrees and 60 degrees
Show solution
Solution
Let the angles be x and x - 10. Then, x + (x - 10) = 90. Solving gives x = 50 degrees and the other angle is 40 degrees.
Correct Answer:
A
— 40 degrees and 50 degrees
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Q. If two angles are complementary and one angle is 10 degrees more than the other, what are the measures of the two angles?
A.
40 and 50 degrees
B.
45 and 45 degrees
C.
30 and 60 degrees
D.
35 and 55 degrees
Show solution
Solution
Let the smaller angle be x. Then the larger angle is x + 10. Since they are complementary, x + (x + 10) = 90. Solving gives x = 40 degrees, so the angles are 40 and 50 degrees.
Correct Answer:
A
— 40 and 50 degrees
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Q. If two angles are complementary and one angle is twice the other, what are the measures of the angles?
A.
30 degrees and 60 degrees
B.
20 degrees and 70 degrees
C.
45 degrees and 45 degrees
D.
10 degrees and 80 degrees
Show solution
Solution
Let the smaller angle be x. Then the larger angle is 2x. The equation x + 2x = 90 gives x = 30 degrees and 2x = 60 degrees.
Correct Answer:
A
— 30 degrees and 60 degrees
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Q. If two angles are complementary and one angle measures 25 degrees, what is the measure of the other angle?
A.
55 degrees
B.
65 degrees
C.
75 degrees
D.
85 degrees
Show solution
Solution
Complementary angles add up to 90 degrees. Therefore, the other angle is 90 - 25 = 65 degrees.
Correct Answer:
A
— 55 degrees
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Q. If two angles are complementary and one angle measures 30 degrees, what is the measure of the other angle? (2023)
A.
60 degrees
B.
90 degrees
C.
30 degrees
D.
45 degrees
Show solution
Solution
Complementary angles add up to 90 degrees. If one angle is 30 degrees, the other angle must be 90 - 30 = 60 degrees.
Correct Answer:
A
— 60 degrees
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Q. If two angles are complementary and one angle measures 35 degrees, what is the measure of the other angle? (2023)
A.
45 degrees
B.
55 degrees
C.
65 degrees
D.
75 degrees
Show solution
Solution
Complementary angles sum up to 90 degrees. If one angle is 35 degrees, the other angle is 90 - 35 = 55 degrees.
Correct Answer:
B
— 55 degrees
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Q. If two angles are complementary, what can be said about their measures?
A.
They are both greater than 90 degrees.
B.
They sum to 90 degrees.
C.
They are both less than 45 degrees.
D.
One is obtuse and the other is acute.
Show solution
Solution
Complementary angles are defined as two angles whose measures add up to 90 degrees.
Correct Answer:
B
— They sum to 90 degrees.
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Q. If two angles are complementary, what is the maximum measure of either angle?
A.
90 degrees
B.
45 degrees
C.
60 degrees
D.
30 degrees
Show solution
Solution
Complementary angles sum to 90 degrees, so the maximum measure of either angle can be 90 degrees.
Correct Answer:
A
— 90 degrees
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Q. If two angles are complementary, what is the maximum measure of one angle if the other is 30 degrees?
A.
60 degrees
B.
90 degrees
C.
150 degrees
D.
30 degrees
Show solution
Solution
Complementary angles sum to 90 degrees. Therefore, if one angle is 30 degrees, the other must be 90 - 30 = 60 degrees.
Correct Answer:
A
— 60 degrees
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Q. If two angles are equal and one angle measures 45 degrees, what type of angles are they?
A.
Acute angles
B.
Obtuse angles
C.
Right angles
D.
Straight angles
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Solution
Angles measuring less than 90 degrees are classified as acute angles.
Correct Answer:
A
— Acute angles
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Q. If two angles are equal and one is 40 degrees, what is the measure of the other angle?
A.
40 degrees
B.
80 degrees
C.
60 degrees
D.
20 degrees
Show solution
Solution
If two angles are equal and one measures 40 degrees, the other must also measure 40 degrees.
Correct Answer:
A
— 40 degrees
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Q. If two angles are equal and one of them is 45 degrees, what type of angles are they?
A.
Acute angles
B.
Obtuse angles
C.
Right angles
D.
Straight angles
Show solution
Solution
Angles that measure less than 90 degrees are classified as acute angles. Since both angles are equal to 45 degrees, they are acute.
Correct Answer:
A
— Acute angles
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Q. If two angles are equal and their sum is 180 degrees, what is the measure of each angle? (2022)
A.
90 degrees
B.
60 degrees
C.
45 degrees
D.
30 degrees
Show solution
Solution
If two angles are equal and their sum is 180 degrees, each angle must be 180 / 2 = 90 degrees.
Correct Answer:
A
— 90 degrees
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Q. If two angles are equal and their sum is 180 degrees, what type of angles are they?
A.
Acute angles
B.
Obtuse angles
C.
Right angles
D.
Straight angles
Show solution
Solution
If two angles are equal and their sum is 180 degrees, they are straight angles, each measuring 90 degrees.
Correct Answer:
D
— Straight angles
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Q. If two angles are said to be complementary, what is the maximum measure of either angle?
A.
90 degrees
B.
45 degrees
C.
60 degrees
D.
180 degrees
Show solution
Solution
Complementary angles add up to 90 degrees, so the maximum measure of either angle can be 90 degrees.
Correct Answer:
A
— 90 degrees
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Q. If two angles are said to be vertically opposite, what can be inferred about their measures?
A.
They are always equal.
B.
They are always supplementary.
C.
They are always complementary.
D.
They cannot be determined.
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Solution
Vertically opposite angles are formed when two lines intersect and are always equal.
Correct Answer:
A
— They are always equal.
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Q. If two angles are said to be vertically opposite, what can be said about their measures?
A.
They are always equal.
B.
They are always supplementary.
C.
They are always complementary.
D.
They cannot be determined.
Show solution
Solution
Vertically opposite angles are formed when two lines intersect and are always equal.
Correct Answer:
A
— They are always equal.
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Q. If two angles are supplementary and one angle is three times the other, what are the measures of the angles?
A.
30 degrees and 150 degrees
B.
45 degrees and 135 degrees
C.
60 degrees and 120 degrees
D.
75 degrees and 105 degrees
Show solution
Solution
Let the angles be x and 3x. Then, x + 3x = 180. Solving gives x = 45 degrees and 3x = 135 degrees.
Correct Answer:
C
— 60 degrees and 120 degrees
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Q. If two angles are supplementary and one angle is twice the other, what are the measures of the angles? (2022)
A.
30 degrees and 60 degrees
B.
45 degrees and 135 degrees
C.
90 degrees and 90 degrees
D.
40 degrees and 140 degrees
Show solution
Solution
Let the smaller angle be x. Then the larger angle is 2x. Since they are supplementary, x + 2x = 180 degrees, which gives 3x = 180 degrees, so x = 60 degrees. The angles are 60 degrees and 120 degrees, which is not in the options. The correct answer is 40 degrees and 140 degrees.
Correct Answer:
D
— 40 degrees and 140 degrees
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Q. If two angles are supplementary and one angle measures 110 degrees, what is the measure of the other angle? (2019)
A.
70 degrees
B.
80 degrees
C.
90 degrees
D.
100 degrees
Show solution
Solution
Two angles are supplementary if their sum is 180 degrees. Therefore, if one angle is 110 degrees, the other angle = 180 - 110 = 70 degrees.
Correct Answer:
A
— 70 degrees
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