A 180°
B 270°
C 360°
D 540°
Explanation: The sum of interior angles of a quadrilateral is 360°.
Explanation: 3⁴ / 3² = 3² = 9.
Explanation: 2/3 - 1/6 = 4/6 - 1/6 = 3/6 = 1/2.
Explanation: 2(9) - 5(3) + 1 = 18 - 15 + 1 = 4.
Explanation: 35% of 400 = 0.35 × 400 = 140.
Explanation: By definition, 0! = 1.
A x = 1 or x = 6
B x = 2 or x = 3
C x = -2 or x = -3
D x = 2 or x = -3
Explanation: (x-2)(x-3) = 0, so x = 2 or x = 3.
A 54√3
B 108
C 36√3
D 72√3
Explanation: Area = (3√3/2)(6²) = (3√3/2)(36) = 54√3.
A Kind
B Cruel
C Indifferent
D Hostile
Explanation: \'Benevolent\' means well-meaning and kindly. \'Kind\' is the closest synonym.
A Permanent
B Fleeting
C Transient
D Brief
Explanation: \'Ephemeral\' means lasting a very short time. \'Permanent\' is its direct opposite.
A Rare
B Omnipresent
C Scarce
D Hidden
Explanation: \'Ubiquitous\' means present everywhere. \'Omnipresent\' carries the same meaning.
A Practical
B Idealistic
C Realistic
D Sensible
Explanation: \'Pragmatic\' means dealing with things sensibly and realistically. \'Idealistic\' is its opposite.
A Trivial
B Groundbreaking
C Mundane
D Ordinary
Explanation: Only \'Groundbreaking\' makes sense as it means innovative and revolutionary.
A A simple solution
B A difficult problem
C A celebration
D A type of music
Explanation: \'Conundrum\' refers to a confusing and difficult problem or question.
A Worsen
B Improve
C Maintain
D Destroy
Explanation: \'Ameliorate\' means to make something better. \'Improve\' is its synonym.
A Aggravate
B Alleviate
C Exacerbate
D Intensify
Explanation: \'Alleviate\' means to make suffering less severe. The other options mean to make worse.
A Clear
B Confused
C Coherent
D Intelligible
Explanation: \'Lucid\' means easy to understand. \'Confused\' is its opposite.
A Unfavorable
B Indifferent
C Favorable
D Disastrous
Explanation: \'Auspicious\' means conducive to success or favorable.
A Harmony
B Melody
C Din
D Silence
Explanation: \'Cacophony\' refers to a harsh mixture of sounds. \'Din\' means loud noise.
A Each of the students have submitted their work.
B Each of the students has submitted their work.
C Each of the students have submitted his work.
D Each of the student has submitted their work.
Explanation: \'Each\' is singular and takes \'has\'. \'Students\' is correct as it\'s part of a prepositional phrase.