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
131
What is the angle between the hands of a clock at 1:15?
Answer:
52.5°
Using the formula Angle = |30H - 5.5M|. Substituting H=1 and M=15 gives |30(1) - 5.5(15)| = |30 - 82.5| = |-52.5| = 52.5°.
132
What is the angle between the hands of a clock at 12:30?
Answer:
165°
For times starting with 12, we can use H=0. Angle = |30(0) - 5.5(30)| = |-165| = 165°.
133
What is the angle between the hands of a clock at 11:30?
Answer:
165°
Substitute H=11 and M=30 into the formula |30H - 5.5M|. We get |30(11) - 5.5(30)| = |330 - 165| = |165| = 165°.
134
What is the angle between the hands of a clock at 10:30?
Answer:
135°
Using the angle formula |30H - 5.5M|: |30(10) - 5.5(30)| = |300 - 165| = |135| = 135°.
135
What is the angle between the hands of a clock at 9:30?
Answer:
105°
Applying the formula |30H - 5.5M|: |30(9) - 5.5(30)| = |270 - 165| = |105| = 105°.
136
What is the angle between the hands of a clock at 8:30?
Answer:
75°
Substitute H=8 and M=30 into the formula |30H - 5.5M|. We get |30(8) - 5.5(30)| = |240 - 165| = |75| = 75°.
137
What is the angle between the hands of a clock at 7:30?
Answer:
45°
Using the formula Angle = |30H - 5.5M| with H=7 and M=30 gives |30(7) - 5.5(30)| = |210 - 165| = |45| = 45°.
138
What is the angle between the hands of a clock at 6:30?
Answer:
15°
Applying the formula |30H - 5.5M|: |30(6) - 5.5(30)| = |180 - 165| = |15| = 15°. At 6:30, the hour hand has moved halfway to 7, while the minute hand is at 6.
139
What is the angle between the hands of a clock at 5:30?
Answer:
15°
Substitute H=5 and M=30 into the formula |30H - 5.5M|. We get |30(5) - 5.5(30)| = |150 - 165| = |-15| = 15°.
140
What is the angle between the hands of a clock at 4:30?
Answer:
45°
Using the formula Angle = |30H - 5.5M| with H=4 and M=30 gives |30(4) - 5.5(30)| = |120 - 165| = |-45| = 45°.