Quantitative Aptitude · Reasoning

Time and Clocks

562 Questions

Time and clocks problems evaluate quantitative aptitude by testing concepts on clock gains, losses, and relative speeds of hands. Questions also cover global time zones and standard time calculations. These logical reasoning topics frequently appear in SSC and banking exams.

Clock gain or lossTime zonesAngle between handsStandard time calculationPrecise time measurement

Time and Clocks Questions

Multiple choice
  1. 2:20 a.m.

  2. 3:30 a.m.

  3. 3:55 p.m.

  4. 3:20 p.m.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The time now is 10:45 a.m. The last flight for Mumbai took off 25 minutes back, i.e. at 10:20 a.m. The next flight is after 5 hours, i.e. at 3:20 p.m. The correct answer is option (4).

Multiple choice
  1. 8:00 a.m.

  2. 8:05 a.m.

  3. 8:10 a.m.

  4. 8:20 a.m.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Sumit reached the place of meeting at 8:30 a.m. The man he was supposed to meet came 30 minutes after this, i.e. at 9:00 a.m. This man was 40 minutes late for the meeting. Hence, the meeting was scheduled for 8:20 a.m. The correct answer is option (4).

Multiple choice
  1. 6:30 p.m.

  2. 6:40 p.m.

  3. 7:10 p.m.

  4. 7:20 p.m.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Clearly, the time nedeed to complete all five assignments = 40 x 5 = 200 minutes = 3 hours 20 minutes Thus, required time = 6:40 p.m.

Multiple choice

The author could have been all of the following except

PASSAGE – III

The passage is followed by a question based on its content. Answer the question on the basis of what is stated or implied in the passage.

Why do we divide a minute into 60 seconds, an hour into 60 minutes, while there are only 24 hours in a day? Currently, the most prevalent numeral system is decimal (base 10), which possibly originated as it enabled easier counting with fingers. The civilizations that first split the day into smaller parts, nevertheless, used different numeral systems, notably duodecimal (base 12) and sexagesimal (base 60).

Most historians opine that the Egyptians were the first to divide the day into smaller parts. The first of the sundials they created were just stakes placed on the ground that indicated time by the length and direction of the resulting shadow. By 15th century B.C., they had developed a more advanced sundial. Without artificial light, humans at that time considered sunlit and dark periods to be two opposing realms. When sundials were used first, however, the Egyptians also first observed a group of 36 stars which divided the circle of the heavens. The clepsydra i.e. water clock, was also used to record time at night, and was perhaps the most accurate timekeeping device of its times.
Later the concept of a 24-hour day arose. The concept of fixed-length hours, however, originated in the Hellenistic period. Hipparchus proposed dividing the day into 24 equinoctial hours. Despite this suggestion, laypeople continued to use seasonally varying hours.

Hipparchus and other Greek scientists used astronomical techniques developed by the Babylonians. They made calculations in the sexagesimal (base 60) system. Although we do not know why 60 was chosen, it is convenient for expressing fractions, since it is the smallest number divisible by the first six counting numbers and also by 10, 12, 15, 20 and 30.

The Greek astronomer Eratosthenes used a sexagesimal system to divide a circle into 60 parts. Abou 100 years later, Hipparchus normalized the lines of latitude and also invented a system of longitude lines that encompassed 360 degrees. In his treatise Almagest, Ptolemy expanded Hipparchus' work by subdividing each of the 360 degrees of latitude and longitude. Each degree was divided into 60 parts, each subdivided into 60 parts. The first division, partes minutae primae, or first minute, became known as the "minute." The second segmentation, partes minutae secundae, or "second minute," became known as the second.

However, minutes and seconds, were not used for everyday timekeeping until many centuries. Clock displays split the hour into halves, thirds, quarters and sometimes even 12 parts, but never by 60. In fact, the hour was not commonly understood to be 60 minutes. It was not practical for the general public to consider minutes until the first mechanical displaying minutes appeared by 16th century. Even today, many clocks and wristwatches have a resolution of only one minute. Thanks to all this, modern society still thinks of time divisions in this manner.
  1. science historian

  2. horologist

  3. science educator

  4. ancient historian

  5. Physics historian

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Options (1), (2), (4) and (5) are probable professions for the author to be in, but a science educator is more likely to conduct experiments on popular science and disseminate the role of science in daily life. Hence, option (3) is the best one here.

Multiple choice

The passage is primarily an attempt to

PASSAGE – III

The passage is followed by a question based on its content. Answer the question on the basis of what is stated or implied in the passage.

Why do we divide a minute into 60 seconds, an hour into 60 minutes, while there are only 24 hours in a day? Currently, the most prevalent numeral system is decimal (base 10), which possibly originated as it enabled easier counting with fingers. The civilizations that first split the day into smaller parts, nevertheless, used different numeral systems, notably duodecimal (base 12) and sexagesimal (base 60).

Most historians opine that the Egyptians were the first to divide the day into smaller parts. The first of the sundials they created were just stakes placed on the ground that indicated time by the length and direction of the resulting shadow. By 15th century B.C., they had developed a more advanced sundial. Without artificial light, humans at that time considered sunlit and dark periods to be two opposing realms. When sundials were used first, however, the Egyptians also first observed a group of 36 stars which divided the circle of the heavens. The clepsydra i.e. water clock, was also used to record time at night, and was perhaps the most accurate timekeeping device of its times.
Later the concept of a 24-hour day arose. The concept of fixed-length hours, however, originated in the Hellenistic period. Hipparchus proposed dividing the day into 24 equinoctial hours. Despite this suggestion, laypeople continued to use seasonally varying hours.

Hipparchus and other Greek scientists used astronomical techniques developed by the Babylonians. They made calculations in the sexagesimal (base 60) system. Although we do not know why 60 was chosen, it is convenient for expressing fractions, since it is the smallest number divisible by the first six counting numbers and also by 10, 12, 15, 20 and 30.

The Greek astronomer Eratosthenes used a sexagesimal system to divide a circle into 60 parts. Abou 100 years later, Hipparchus normalized the lines of latitude and also invented a system of longitude lines that encompassed 360 degrees. In his treatise Almagest, Ptolemy expanded Hipparchus' work by subdividing each of the 360 degrees of latitude and longitude. Each degree was divided into 60 parts, each subdivided into 60 parts. The first division, partes minutae primae, or first minute, became known as the "minute." The second segmentation, partes minutae secundae, or "second minute," became known as the second.

However, minutes and seconds, were not used for everyday timekeeping until many centuries. Clock displays split the hour into halves, thirds, quarters and sometimes even 12 parts, but never by 60. In fact, the hour was not commonly understood to be 60 minutes. It was not practical for the general public to consider minutes until the first mechanical displaying minutes appeared by 16th century. Even today, many clocks and wristwatches have a resolution of only one minute. Thanks to all this, modern society still thinks of time divisions in this manner.
  1. offer a tribute to the ancient Egyptian and Greek civilizations for their efforts in making timekeeping devices

  2. explain the history of scientific developments in the context of inventing timekeeping devices

  3. tell the reader why an hour contains 60 minutes, a minute 60 seconds and a day 24 hours

  4. explain the reasons behind the invention of different timekeeping devices

  5. Describe how the Greeks built on the earlier work done by the Babylonians in the context of developing timekeeping devices.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Nowhere does the author give any glowing account of the contributions made by the Greeks and the Egyptians. At the most, the description is purely neutral. Hence, option (1) does not fit the bill here. Options (3) and (5) refer to tangential issues within the passage and are therefore, ruled out. Even option (4) is ruled out because the author does not tell us any reasons behind the inventions. The passage is a simple and straight attempt, in a chronological order, to tell the about the history of certain developments taking place in the invention of timekeeping devices. It starts from the earliest and goes on to talk about the latest in the field. Hence, justifying option (2).

Multiple choice

The passage helps us answer which of the following questions?1. What was the reason behind choosing 60 as the basis of astronomical calculations?2. When did the use of minute start among the general populace?3. Did the Greeks build on others' work in timekeeping devices?4. What was the reason that the Egyptians started developing timekeeping devices?

Choose your answer from the following options.

PASSAGE – III

The passage is followed by a question based on its content. Answer the question on the basis of what is stated or implied in the passage.

Why do we divide a minute into 60 seconds, an hour into 60 minutes, while there are only 24 hours in a day? Currently, the most prevalent numeral system is decimal (base 10), which possibly originated as it enabled easier counting with fingers. The civilizations that first split the day into smaller parts, nevertheless, used different numeral systems, notably duodecimal (base 12) and sexagesimal (base 60).

Most historians opine that the Egyptians were the first to divide the day into smaller parts. The first of the sundials they created were just stakes placed on the ground that indicated time by the length and direction of the resulting shadow. By 15th century B.C., they had developed a more advanced sundial. Without artificial light, humans at that time considered sunlit and dark periods to be two opposing realms. When sundials were used first, however, the Egyptians also first observed a group of 36 stars which divided the circle of the heavens. The clepsydra i.e. water clock, was also used to record time at night, and was perhaps the most accurate timekeeping device of its times.
Later the concept of a 24-hour day arose. The concept of fixed-length hours, however, originated in the Hellenistic period. Hipparchus proposed dividing the day into 24 equinoctial hours. Despite this suggestion, laypeople continued to use seasonally varying hours.

Hipparchus and other Greek scientists used astronomical techniques developed by the Babylonians. They made calculations in the sexagesimal (base 60) system. Although we do not know why 60 was chosen, it is convenient for expressing fractions, since it is the smallest number divisible by the first six counting numbers and also by 10, 12, 15, 20 and 30.

The Greek astronomer Eratosthenes used a sexagesimal system to divide a circle into 60 parts. Abou 100 years later, Hipparchus normalized the lines of latitude and also invented a system of longitude lines that encompassed 360 degrees. In his treatise Almagest, Ptolemy expanded Hipparchus' work by subdividing each of the 360 degrees of latitude and longitude. Each degree was divided into 60 parts, each subdivided into 60 parts. The first division, partes minutae primae, or first minute, became known as the "minute." The second segmentation, partes minutae secundae, or "second minute," became known as the second.

However, minutes and seconds, were not used for everyday timekeeping until many centuries. Clock displays split the hour into halves, thirds, quarters and sometimes even 12 parts, but never by 60. In fact, the hour was not commonly understood to be 60 minutes. It was not practical for the general public to consider minutes until the first mechanical displaying minutes appeared by 16th century. Even today, many clocks and wristwatches have a resolution of only one minute. Thanks to all this, modern society still thinks of time divisions in this manner.
  1. 1 only

  2. 1, 2 and 3

  3. 2 and 3 only

  4. 2, 3 and 4

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The question is based on a reading of different parts of the passage together.Question 1 is not answered by the passage at all. In fact, the passage says although it is unknown why 60 was chosen…… So is true of question 4, for which no answer is available in the passage. The passage does contain the answers to questions 2 and 3 in the last and the 4th paragraphs respectively. Hence, option (3) is the correct answer.

Multiple choice

In terms of its nature, the passage could be characterized as which of the following?

PASSAGE – III

The passage is followed by a question based on its content. Answer the question on the basis of what is stated or implied in the passage.

Why do we divide a minute into 60 seconds, an hour into 60 minutes, while there are only 24 hours in a day? Currently, the most prevalent numeral system is decimal (base 10), which possibly originated as it enabled easier counting with fingers. The civilizations that first split the day into smaller parts, nevertheless, used different numeral systems, notably duodecimal (base 12) and sexagesimal (base 60).

Most historians opine that the Egyptians were the first to divide the day into smaller parts. The first of the sundials they created were just stakes placed on the ground that indicated time by the length and direction of the resulting shadow. By 15th century B.C., they had developed a more advanced sundial. Without artificial light, humans at that time considered sunlit and dark periods to be two opposing realms. When sundials were used first, however, the Egyptians also first observed a group of 36 stars which divided the circle of the heavens. The clepsydra i.e. water clock, was also used to record time at night, and was perhaps the most accurate timekeeping device of its times.
Later the concept of a 24-hour day arose. The concept of fixed-length hours, however, originated in the Hellenistic period. Hipparchus proposed dividing the day into 24 equinoctial hours. Despite this suggestion, laypeople continued to use seasonally varying hours.

Hipparchus and other Greek scientists used astronomical techniques developed by the Babylonians. They made calculations in the sexagesimal (base 60) system. Although we do not know why 60 was chosen, it is convenient for expressing fractions, since it is the smallest number divisible by the first six counting numbers and also by 10, 12, 15, 20 and 30.

The Greek astronomer Eratosthenes used a sexagesimal system to divide a circle into 60 parts. Abou 100 years later, Hipparchus normalized the lines of latitude and also invented a system of longitude lines that encompassed 360 degrees. In his treatise Almagest, Ptolemy expanded Hipparchus' work by subdividing each of the 360 degrees of latitude and longitude. Each degree was divided into 60 parts, each subdivided into 60 parts. The first division, partes minutae primae, or first minute, became known as the "minute." The second segmentation, partes minutae secundae, or "second minute," became known as the second.

However, minutes and seconds, were not used for everyday timekeeping until many centuries. Clock displays split the hour into halves, thirds, quarters and sometimes even 12 parts, but never by 60. In fact, the hour was not commonly understood to be 60 minutes. It was not practical for the general public to consider minutes until the first mechanical displaying minutes appeared by 16th century. Even today, many clocks and wristwatches have a resolution of only one minute. Thanks to all this, modern society still thinks of time divisions in this manner.
  1. Analytical

  2. Descriptive

  3. Syllogistic

  4. Normative

  5. Well-reasoned

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Options (3) and (5) are ruled out as the writer does not ask any questions nor does he has a reason to answer them here. Hence, both of them are wrong. Regarding option (1), it can be seen easily that the emphasis in the passage is not on reasons or analysis, it is on narration, pure and simple. So even this one does not make the mark. The author does not prescribe any standards or rules, thereby ruling out even option (4). This, the best option here seems to be (2).

Multiple choice

Which of the following would be unjustified in the context of the above passage?

PASSAGE – III

The passage is followed by a question based on its content. Answer the question on the basis of what is stated or implied in the passage.

Why do we divide a minute into 60 seconds, an hour into 60 minutes, while there are only 24 hours in a day? Currently, the most prevalent numeral system is decimal (base 10), which possibly originated as it enabled easier counting with fingers. The civilizations that first split the day into smaller parts, nevertheless, used different numeral systems, notably duodecimal (base 12) and sexagesimal (base 60).

Most historians opine that the Egyptians were the first to divide the day into smaller parts. The first of the sundials they created were just stakes placed on the ground that indicated time by the length and direction of the resulting shadow. By 15th century B.C., they had developed a more advanced sundial. Without artificial light, humans at that time considered sunlit and dark periods to be two opposing realms. When sundials were used first, however, the Egyptians also first observed a group of 36 stars which divided the circle of the heavens. The clepsydra i.e. water clock, was also used to record time at night, and was perhaps the most accurate timekeeping device of its times.
Later the concept of a 24-hour day arose. The concept of fixed-length hours, however, originated in the Hellenistic period. Hipparchus proposed dividing the day into 24 equinoctial hours. Despite this suggestion, laypeople continued to use seasonally varying hours.

Hipparchus and other Greek scientists used astronomical techniques developed by the Babylonians. They made calculations in the sexagesimal (base 60) system. Although we do not know why 60 was chosen, it is convenient for expressing fractions, since it is the smallest number divisible by the first six counting numbers and also by 10, 12, 15, 20 and 30.

The Greek astronomer Eratosthenes used a sexagesimal system to divide a circle into 60 parts. Abou 100 years later, Hipparchus normalized the lines of latitude and also invented a system of longitude lines that encompassed 360 degrees. In his treatise Almagest, Ptolemy expanded Hipparchus' work by subdividing each of the 360 degrees of latitude and longitude. Each degree was divided into 60 parts, each subdivided into 60 parts. The first division, partes minutae primae, or first minute, became known as the "minute." The second segmentation, partes minutae secundae, or "second minute," became known as the second.

However, minutes and seconds, were not used for everyday timekeeping until many centuries. Clock displays split the hour into halves, thirds, quarters and sometimes even 12 parts, but never by 60. In fact, the hour was not commonly understood to be 60 minutes. It was not practical for the general public to consider minutes until the first mechanical displaying minutes appeared by 16th century. Even today, many clocks and wristwatches have a resolution of only one minute. Thanks to all this, modern society still thinks of time divisions in this manner.
  1. The Babylonians were inspired by the Egyptians in their efforts to develop timekeeping devices.

  2. To a great extent, the credit for developing a fairly modern system of timekeeping should go to the Greeks.

  3. The concept of a fixed length day was started by the Greeks.

  4. The sundial was probably a primitive timekeeping device as compared to other devices invented by the Egyptians.

  5. The ease of counting with fingers is possibly the reasons for our adopting the decimal system as a base.

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The last few paragraphs amply support the conclusion in option (2). Hence, it is ruled out as an answer. Option (3) is also duly supported by the passage as it was the Greeks who began using the concept of diving an hour into 60 minutes and a minute into sixty seconds, as per the last paragraph above. Thus it does not fit the bill. The idea contained in option (4) is correct as it can be made out on the basis of contents here which mention that the water clock developed by the Egyptians was possibly the most advanced timekeeping device of its own times. The first few lines of the passage have enough support for option (5). In fact, the Babylonians inspired the Greeks in timekeeping, as per the passage. Hence, option (1) seems to be a valid answer.

Multiple choice
  1. one minute

  2. 50 second

  3. 30 second

  4. 20 second

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The full version of the Indian national anthem, Jana Gana Mana, is officially required to be played for approximately 52 seconds. 50 seconds is the closest approximation provided in the options.