Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
141
What is the angle between the hands of a clock at 3:30?
Answer:
75°
Using the angle formula |30H - 5.5M|: |30(3) - 5.5(30)| = |90 - 165| = |-75| = 75°.
142
What is the angle between the hands of a clock at 2:30?
Answer:
105°
Applying the formula |30H - 5.5M| with H=2 and M=30 gives |30(2) - 5.5(30)| = |60 - 165| = |-105| = 105°.
143
What is the angle between the hands of a clock at 1:30?
Answer:
135°
Using the standard formula Angle = |30H - 5.5M|. Substituting H=1 and M=30 gives |30(1) - 5.5(30)| = |30 - 165| = |-135| = 135°.
144
What is the angle between the hands of a clock at exactly 12:00?
Answer:
0°
At exactly 12:00, both the hour and minute hands perfectly overlap, pointing at the 12. Therefore, the angle between them is exactly 0°.
145
What is the angle between the hands of a clock at exactly 11:00?
Answer:
30°
At 11:00, the hour hand points to 11 and the minute hand to 12, separating them by exactly 1 hour marking. 1 × 30° = 30°.
146
What is the angle between the hands of a clock at exactly 10:00?
Answer:
60°
At 10:00, the shortest distance between the hands spans 2 hour markings (from 10 to 12). 2 × 30° = 60°.
147
What is the angle between the hands of a clock at exactly 9:00?
Answer:
90°
At 9:00, the hour hand is at 9 and the minute hand is at 12. The shortest distance between them spans 3 hour markings. 3 × 30° = 90°.
148
What is the angle between the hands of a clock at exactly 8:00?
Answer:
120°
At 8:00, the hands are separated by 4 hour markings on the shorter side of the clock face (from 8 to 12). 4 × 30° = 120°.
149
What is the reflex angle between the hands of a clock at exactly 7:00?
Answer:
210°
At 7:00, the smaller (interior) angle is 5 × 30° = 150°. The reflex angle is the larger angle measuring more than 180°. Therefore, the reflex angle is 360° - 150° = 210°.
150
What is the angle between the hands of a clock at exactly 6:00?
Answer:
180°
At 6:00, the hour hand points to 6 and the minute hand points to 12. They form a perfect straight line, which measures 6 × 30° = 180°.