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
61
How many times do the hands of a clock point in opposite directions in 12 hours?
Answer:
11
The hands of a clock are exactly opposite each other 11 times every 12 hours. They only form a straight opposite line once between 5:00 and 7:00, which is precisely at 6:00.
62
How many times do the hands of a clock coincide in 24 hours?
Answer:
22
Since the hands coincide 11 times in a 12-hour cycle, they will coincide exactly 11 × 2 = 22 times in a full 24-hour day.
63
How many times do the hands of a clock coincide in 12 hours?
Answer:
11
The hands of a clock coincide exactly 11 times in 12 hours. This is because between 11:00 and 1:00, they only coincide once, precisely at 12:00.
64
At what exact time between 4 and 5 o'clock will the hands of a clock be pointing in opposite directions?
Answer:
4:54 6/11
Substitute H=4 into the formula (60/11) × (H + 6). We get (60/11) × 10 = 600/11 = 54 6/11 minutes past 4.
65
At what exact time between 3 and 4 o'clock will the hands of a clock be pointing in opposite directions?
Answer:
3:49 1/11
Applying the formula (60/11) × (H + 6) for H = 3 yields (60/11) × 9 = 540/11 = 49 1/11 minutes past 3.
66
At what exact time between 2 and 3 o'clock will the hands of a clock be pointing in opposite directions?
Answer:
2:43 7/11
Using the opposite formula (60/11) × (H + 6). For H = 2, (60/11) × 8 = 480/11 = 43 7/11 minutes past 2.
67
At what exact time between 1 and 2 o'clock will the hands of a clock be pointing in opposite directions?
Answer:
1:38 2/11
The formula for opposite hands is (60/11) × (H ± 6). Since H < 6, we use H + 6. For H = 1, (60/11) × 7 = 420/11 = 38 2/11 minutes past 1.
68
At what exact time between 5 and 6 o'clock will the hands of a clock coincide?
Answer:
5:27 3/11
Substitute H=5 into the formula (60/11) × H. We get (60/11) × 5 = 300/11 = 27 3/11 minutes past 5.
69
At what exact time between 4 and 5 o'clock will the hands of a clock coincide?
Answer:
4:21 9/11
Using the coincidence formula (60/11) × H. For H = 4, (60/11) × 4 = 240/11 = 21 9/11 minutes past 4.
70
At what exact time between 3 and 4 o'clock will the hands of a clock coincide?
Answer:
3:16 4/11
Applying the formula (60/11) × H for H = 3 gives (60/11) × 3 = 180/11 = 16 4/11 minutes past 3.