FPSC · Other · N/A
Solved clocks MCQs — 13 questions on the angle between the hands, hour-hand rotation, how often the hands coincide, stand straight or at right angles, watch gain and loss, and coincidence and opposite-hands times, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers clock problems.
Paper Snapshot
Questions
13
Time
13
Minutes
Subjects
1
Topics
9
Read mode shows correct answers. Attempt mode hides answers, starts timer, and shows your result after submission.
About this paper
This is the Arithmetic: Clocks solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 13 published questions (book pp. 764-765, of 15 printed) on the angle between the clock hands, the hour hand's rotation, how often the hands coincide, stand straight or at right angles, watch gain and loss, and the times the hands coincide or stand opposite. Every published answer was re-solved from scratch and agrees with the book's printed Answer Key on p. 765; two printed items were dropped because their correct answers are not among the options, and four printed options with truncation or misprint defects were corrected and flagged.
Paper Controls
Subject 1
Topic Section
3 solved MCQs shown directly below
Correct Answer: 47 1/2 degrees
Hour hand at 3:25 is at 3 x 30 + 25 x 0.5 = 102 1/2 degrees and the minute hand at 25 x 6 = 150 degrees, so the angle is 150 - 102 1/2 = 47 1/2 degrees.
Correct Answer: 130 degrees
At 3:40 the hour hand is at 3 x 30 + 40 x 0.5 = 110 degrees and the minute hand at 40 x 6 = 240 degrees, so the angle is 240 - 110 = 130 degrees.
Correct Answer: 67 1/2 degrees
At 5:15 the hour hand is at 5 x 30 + 15 x 0.5 = 157 1/2 degrees and the minute hand at 15 x 6 = 90 degrees, so the angle is 157 1/2 - 90 = 67 1/2 degrees.
Topic Section
2 solved MCQs shown directly below
Correct Answer: 155 degrees
In 5 hours 10 minutes the hour hand turns through 5 1/6 x 30 = 155 degrees.
Correct Answer: 180 degrees
From 8 in the morning to 2 in the afternoon is 6 hours, and the hour hand turns 6 x 30 = 180 degrees.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 22
The hands coincide 11 times in 12 hours, so 22 times in a day.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 44
Counting both together (coincide) and opposite positions, the hands are in a straight line 22 times in 12 hours, so 44 times in a day.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 44
In 12 hours the hands form a right angle 22 times, so 44 times in a day.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 22
The hands are opposite each other 11 times in 12 hours, so 22 times in a day.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 32 8/11 minutes
A correct clock's hands coincide every 65 5/11 minutes, so this watch loses 65 5/11 - 64 = 1 5/11 minutes per coincidence; with 1440 / 64 = 22 1/2 coincidences a day, the loss is 22 1/2 x 16/11 = 32 8/11 minutes per day.
Topic Section
2 solved MCQs shown directly below
Correct Answer: 16 4/11
At 3 O'clock the hands are 15 minute-spaces apart and the minute hand gains 55 minute-spaces in 60 minutes, so they coincide after 60/55 x 15 = 16 4/11 minutes past 3.
Correct Answer: 49 1/11 minute past 9
At 9 O'clock the hands are 45 minute-spaces apart, so they coincide after 60/55 x 45 = 49 1/11 minutes past 9.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 5 5/11 minutes past 7
For the hands to be opposite between 7 and 8, the minute hand must gain enough to be 30 spaces from the hour hand, giving 60/55 x 5 = 5 5/11 minutes past 7 (the printed "past 4" in option (a) is a misprint for "past 7", see header).
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
Questions
13 questions, published of 15 printed in the book. Two items were dropped, never inferred, because their correct answers do not appear among the printed options.
The angle between the hour and minute hands at a given time, how far the hour hand turns over a stated interval, how many times a day the hands coincide, stand in a straight line, stand opposite or at right angles, how much a watch gains or loses per day, and the exact times the hands coincide or stand opposite.
Yes. Every published answer was re-solved from scratch — angle as the difference of 30 times the hour plus half the minutes and 6 times the minutes, coincidence after 60/55 times the minute-space gap, and watch loss from the 65 5/11-minute correct coincidence interval — and agrees with the book's printed Answer Key on p. 765.
Clock problems appear in the arithmetic and general-ability sections of FPSC, PPSC, NTS, PTS and CSS MPT one-paper exams, so the same methods apply across all of them.
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