SSC CGL Clock Questions with Detailed Solutions

Get SSC CGL Clock Questions to prepare for your upcoming exam. Solve the most expected questions and detailed solutions that can be asked in the exam.

Important SSC CGL Clock Questions

Q1.

At what time (in PM), the angle between hour and minute hands of a clock will be 70 degrees?

  • A.

    6:45

  • B.

    2:30

  • C.

    5:40

    ✓ Correct
  • D.

    3:35

Answer & Solution

Correct option is C

Information Given:
Required angle = 70°
Formula: Angle = |30H − 5.5M|
Logic:
For 5:40 → |30×5 − 5.5×40| = |150 − 220| = 70°
Explanation:
Logic: Check the options using the clock-angle formula.
5:40 PM gives exactly 70°.
Final Answer:
5:40 PM
Final Correct Option:
(C) 5:40
Q2.

A clock is 4 minutes slow at 8:20 AM and 8 minutes fast at 2:50 PM. At what time (in AM) will it show the correct time?

  • A.

    9:45

  • B.

    10:30

    ✓ Correct
  • C.

    11:15

  • D.

    10:00

Answer & Solution

Correct option is B

Information Given:
At 8:20 AM, clock is 4 minutes slow.
At 2:50 PM, clock is 8 minutes fast.
Total gain = 4 + 8 = 12 minutes.
Logic:
Time interval = 8:20 AM → 2:50 PM = 6 hours 30 minutes = 390 minutes.
Clock gains 12 minutes in 390 minutes.
Explanation:
To gain 4 minutes:
390 × 4/12 = 130 minutes = 2 hours 10 minutes.
8:20 AM + 2:10 = 10:30 AM.
Final Answer:
10:30 AM
Final Correct Option:
(B) 10:30
Q3.

At what time (approximately) (in PM) for the first time after 12:00 PM minute hand and hour hand of the clock will make an angle of 40 degrees?

  • A.

    12:04

  • B.

    12:05

  • C.

    12:07

    ✓ Correct
  • D.

    12:09

Answer & Solution

Correct option is C

Information Given:
At 12:00, both hands coincide.
Required angle = 40°.
Logic:
Minute hand gains 5.5° per minute over the hour hand.
Explanation:
Logic: 5.5 × t = 40
t = 40 ÷ 5.5 = 7.27 minutes
→ Time ≈ 12:07 PM.
Short Trick:
Time = Angle ÷ 5.5 → 40 ÷ 5.5 ≈ 7 minutes.
Final Answer:
12:07 PM
Final Correct Option:
(C) 12:07
Q4.

A clock is 8 minutes slow at 6 AM and 16 minutes fast at 6 PM. At what time (in AM) will it show the correct time?

  • A.

    11:52

  • B.

    10:30

  • C.

    10:00

    ✓ Correct
  • D.

    11:30

Answer & Solution

Correct option is C

Information Given:
At 6 AM, clock is 8 minutes slow.
At 6 PM, clock is 16 minutes fast.
Total gain = 8 + 16 = 24 minutes in 12 hours.
Logic:
Clock gains 24 minutes in 12 hours → gains 2 minutes/hour.
Explanation:
Logic: To recover 8 minutes → 8 ÷ 2 = 4 hours.
6 AM + 4 hours = 10:00 AM.
Short Trick:
Time to correct = Initial error ÷ hourly gain = 8 ÷ 2 = 4 hours.
Final Answer:
10:00 AM
Final Correct Option:
(C) 10:00
Q5.

If the minute hand of a clock points towards the South at 12:00 a.m., then in which direction will the minute hand point at 3:00 a.m. in the same clock?

  • A.

    South

    ✓ Correct
  • B.

    East

  • C.

    North

  • D.

    West

Answer & Solution

Correct option is A

Given
At 12:00 a.m., the minute hand points towards South.

Solution
At 12:00 a.m., the minute hand is at 12, pointing South.
At 3:00 a.m., the minute hand is also at 12.
Since the clock orientation remains unchanged, the minute hand at 12 will still point towards South.

Final Answer
So the correct answer is (a)

Q6.

At what time between 6 and 7 o'clock will the hands of a watch coincides with each other?

  • A.

    23²⁄₁₁ minutes past 6

  • B.

    27¹⁄₁₁ minutes past 6

  • C.

    32⁸⁄₁₁ minutes past 6

    ✓ Correct
  • D.

    33¹⁄₁₁ minutes past 6

Answer & Solution

Correct option is C

Information Given:
Time is between 6 and 7 o’clock.
At 6:00, hour hand is 180° ahead of minute hand.
Logic:
Time = 180° ÷ 5.5° per minute.
Explanation:
180 ÷ 5.5 = 360/11 = 32 8/11 minutes
Therefore, hands coincide at 32 8/11 minutes past 6.
Short Trick:
For coincidence after H o’clock: H × 60/11 minutes.
6 × 60/11 = 32 8/11 minutes
Final Answer:
32 8/11 minutes past 6
Final Correct Option:
(C) (c) 32⁸⁄₁₁ minutes past 6
Q7.

What will be the time shown by the water image of clock showing time 4 Hours 45 Minutes?

  • A.

    1 Hour 45 minutes

    ✓ Correct
  • B.

    1 Hour 15 Minutes

  • C.

    2 Hours 35 Minutes

  • D.

    3 Hours 25 Minutes

Answer & Solution

Correct option is A

Given time = 4:45

Since the minutes are more than 30, subtract from 17:90:
17:90−4:45
=13:45
Convert 13:45 into 12-hour format:
13:45 = 1:45
Therefore, the water image will show 1 Hour 45 Minutes.
Correct Answer: (A) 1 Hour 45 minutes
Q8.

Angle between minute hand and hour hand of a clock at 2:15 and 4:45 are J and K respectively. What is the absolute difference (in degrees) between J and K?

  • A.

    120

  • B.

    105

    ✓ Correct
  • C.

    125

  • D.

    110

Answer & Solution

Correct option is B

Information Given:
At 2:15 → J
At 4:45 → K
Logic:
Minute hand = 6° per minute
Hour hand = 30° per hour + 0.5° per minute
Explanation:
2:15:
Minute = 15×6 = 90°
Hour = 2×30 + 15×0.5 = 67.5°
J = 90 − 67.5 = 22.5°
4:45:
Minute = 45×6 = 270°
Hour = 4×30 + 45×0.5 = 142.5°
K = 270 − 142.5 = 127.5°
Difference = 127.5 − 22.5 = 105°
Short Trick:
Angle = |30H − 5.5M|.
Final Answer:
105°
Final Correct Option:
(B) 105
Q9.

At what time (approximately) (in AM) between 7 AM and 8 AM will the hour and minute hands of the clock be opposite to each other?

  • A.

    7:07

  • B.

    7:05

    ✓ Correct
  • C.

    7:03

  • D.

    7:08

Answer & Solution

Correct option is B

Information Given:
Time lies between 7 AM and 8 AM.
For opposite hands, angle = 180°.
Logic:
At 7:M:
Hour hand = 210 + 0.5M
Minute hand = 6M
Explanation:
6M − (210 + 0.5M) = 180
5.5M = 390
M = 70.9 minutes ≈ 7:11
But this is outside the given options, so check the smaller separation condition:
(210 + 0.5M) − 6M = 180 → M = 5.45 minutes ≈ 7:05
Final Answer:
7:05 AM
Final Correct Option:
(B) 7:05
Q10.

A clock was set right at 4 AM on 15 May 2017. It loses 20 seconds every hour. What time (in AM) will the clock show on 16 May 2017 at 4 AM?

  • A.

    3:53

  • B.

    3:52

    ✓ Correct
  • C.

    3:54:40

  • D.

    3:55:20

Answer & Solution

Correct option is B

Information Given:
Clock is correct at 4:00 AM on 15 May 2017.
It loses 20 seconds every hour.
Time elapsed = 24 hours.
Logic:
Total loss = 24 × 20 = 480 seconds = 8 minutes.
Explanation:
Correct time = 4:00 AM
Clock loses 8 minutes in 24 hours.
Clock will show = 4:00 − 8 minutes = 3:52 AM.
Final Answer:
3:52 AM
Final Correct Option:
(B) 3:52
Q11.

At what time (approximately) (in AM) between 9 AM and 10 AM will the hour and minute hands of the clock overlap?

  • A.

    9:49

    ✓ Correct
  • B.

    9:52

  • C.

    9:46

  • D.

    9:54

Answer & Solution

Correct option is A

Information Given:
Time is between 9 AM and 10 AM.
At 9:00, hour hand = 270°, minute hand = 0°.
Formula Used:
Time of overlap = (60H)/11 minutes past H o'clock
Logic:
For H = 9:
9 × 60 / 11 = 540/11 = 49.09 minutes.
Explanation:
9:00 → hands have 270° difference.
Minute hand gains on hour hand at 5.5°/minute.
270 ÷ 5.5 = 49.09 minutes
→ approximately 9:49 AM.
Final Answer:
9:49 AM
Final Correct Option:
(A) 9:49
Q12.

A clock is 5 minutes fast at 10:00 AM and 15 minutes fast at 4:00 PM. At what time (in AM) will it show the correct time?

  • A.

    7:00

    ✓ Correct
  • B.

    6:00

  • C.

    12:30

  • D.

    4:00

Answer & Solution

Correct option is A

Information Given:
At 10:00 AM, clock is 5 minutes fast.
At 4:00 PM, clock is 15 minutes fast.
Logic:
Fastness increases by 10 minutes in 6 hours → 10/6 = 5/3 minutes per hour.
Explanation:
At 10 AM, it is already 5 minutes fast.
To become correct, go backward by the time when it was 0 minutes fast.
Time needed = 5 ÷ (5/3) = 3 hours.
10 AM − 3 hours = 7:00 AM.
Final Answer:
7:00 AM
Final Correct Option:
(A) 7:00
Q13.

A clock is 8 minutes fast at 2:00 PM and 14 minutes fast at 8:00 PM. At what time (in AM) will it show the correct time?

  • A.

    6:30

  • B.

    6:00

    ✓ Correct
  • C.

    5:00

  • D.

    5:30

Answer & Solution

Correct option is B

Information Given:
At 2:00 PM, clock is 8 min fast.
At 8:00 PM, clock is 14 min fast.
Fast gain = 14 − 8 = 6 min in 6 hours.
Logic:
Clock gains 1 minute every 60 minutes.
Explanation:
Logic: From 2 PM to 8 PM = 6 hours → gains 6 minutes.
So at 2 PM, it is already 8 minutes fast.
It would have been correct 8 hours before 2 PM → 6:00 AM.
Final Answer:
6:00 AM
Final Correct Option:
(B) 6:00
Q14.

At what time (approximately) (in PM) between 1 PM and 2 PM will the hour and minute hands of the clock be opposite to each other?

  • A.

    1:36

  • B.

    1:35

  • C.

    1:38

    ✓ Correct
  • D.

    1:40

Answer & Solution

Correct option is C

Information Given:
Time is between 1 PM and 2 PM.
Hands must be 180° apart.
Formula Used:
Angle = |30H − 5.5M|
Explanation:
At 1:M, angle = |30 − 5.5M| = 180
5.5M − 30 = 180 → 5.5M = 210
M = 210/5.5 = 38.18 minutes
Therefore, time ≈ 1:38 PM.
Final Answer:
1:38 PM
Final Correct Option:
(C) 1:38
Q15.

At what time (approximately) (in PM) for the first time after 2:00 PM minute hand and hour hand of the clock will make an angle of 30 degrees?

  • A.

    2:00

  • B.

    2:05

    ✓ Correct
  • C.

    2:09

  • D.

    2:02

Answer & Solution

Correct option is B

Information Given:
Time is after 2:00 PM.
Required angle = 30°.
Logic:
At 2:00, angle = 60°.
Relative speed of hands = 5.5° per minute.
Explanation:
Required decrease = 60 − 30 = 30°.
Time = 30 ÷ 5.5 = 5.45 minutes.
2:00 + 5.45 minutes ≈ 2:05 PM.
Short Trick:
(60 − 30) ÷ 5.5 ≈ 5 minutes → 2:05 PM.
Final Answer:
2:05 PM
Final Correct Option:
(B) 2:05

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