Time from 5 am of a particular day to 10 pm on the 4th day is 89 h. Now, the clock loses 16 min in 24 h or on other words, we can say that 23 h 44 min of this clock is equal to 24 h of the correct clock. or (23 + 44/60)
⇒ 356 h of this clock = 24 h of the correct clock
∴ 89 h of this clock
= (24 x 15/356 x 89) h of correct clock
= 90 h of the correct clock

Correct Option: B

Time from 5 am of a particular day to 10 pm on the 4th day is 89 h. Now, the clock loses 16 min in 24 h or on other words, we can say that 23 h 44 min of this clock is equal to 24 h of the correct clock. or (23 + 44/60)
⇒ 356 h of this clock = 24 h of the correct clock
∴ 89 h of this clock
= (24 x 15/356 x 89) h of correct clock
= 90 h of the correct clock

At 3 O'clock, then minute hand is 15 min away from the hour hand. To coincide, it must gain 15 min as 55 min are gained in 60 min.
15 min are gained in (60/55 )x 15 min = 16⁴/₁₁ min

Correct Option: D

At 3 O'clock, then minute hand is 15 min away from the hour hand. To coincide, it must gain 15 min as 55 min are gained in 60 min.
15 min are gained in (60/55) x 15 min = 16⁴/₁₁ min
Hence, the hands are coincide at 16⁴/₁₁ min past 3.

Hint
Mohan was born on 31st July.

Correct Option: A

Mohan was born on 31st July, August 15 falls on Monday.

18th February, 1997 is Tuesday. So, 17th February, 1998 will also be Tuesday.
Again 16th February, 1999 will also be Tuesday.

Correct Option: C

18th February, 1997 is Tuesday. So, 17th February, 1998 will also be Tuesday.
Again 16th February, 1999 will also be Tuesday.
Hence, 18th February, 1999 will be Thursday.

26 January, 1996 to 15 August, 2000 days were = 1663
1663 having odd day = 4
∴ In the year 2000, Independence day will on Tuesday.

Correct Option: A

26 January, 1996 to 15 August, 2000 days were = 1663
1663 having odd day = 4
∴ In the year 2000, Independence day will on Tuesday.