Question: An electronic clock shows time in hours and minutes. For example, 08:15 means that it is now a quarter past eight. If one looks at the clock at sometime between 6:00 and 9:00, what is the probability that he will see the digit 8?
- \(\frac{1}{5}\)
- \(\frac{1}{3}\)
- \(\frac{2}{5}\)
- \(\frac{4}{9}\)
- \(\frac{1}{2}\)
Correct option: C
Solution and Explanation:
Approach Solution 1:
The period between 6:00 and 9:00 consists of 180 minutes. During 72 minutes of these 180 the clock will display the digit 8: during 60 minutes of the 8:00 – 9:00 hour and during 6 minutes of each of the hours 6:00 – 7:00 and 7:00 – 8:00. The required probability = \(\frac{72}{180}=\frac{2}{5}\)
Approach Solution 2:
6 to 7 : 6:08; 6:18; 6:28.. 6:58; 6 times also similarly 7-8; 6 times
6-8: 12 times
8-9: 60 times
Total: 72 minutes when 8 would come on display
Total minutes: (9 – 6) hours * 60 = 180 minutes
\(\frac{72}{180}=\frac{2}{5}\)
Approach Solution 3:
first time it shows is 6:08
then 6:18,6:28...38,48,58
6 cases out of 60 between 6 and 7
6 cases out of 60 between 7 and 8
now between 8:00 and 9:00 he will see all the time. All the 60 cases.
So 72 cases out of 180 cases
=72/180 = 2/5
“An electronic clock shows time in hours and minutes. For example, 08:15 means that it is now a quarter past eight. If one looks at the clock at sometime between 6:00 and 9:00, what is the probability that he will see the digit 8?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.
Suggested GMAT Problem Solving Questions
- If the mean of set S does not exceed mean of the subset of set S, which GMAT Problem Solving
- A Milkman Sells Milk after Adding Some Water in it GMAT Problem Solving
- It Was Observed by National Geographic that Equinox Happened GMAT Problem Solving
- Paracelsus University has Two Kinds of Professors, Academic Professors GMAT Problem Solving
- What is the Smallest Prime Factor of 5^8+10^6–50^3? GMAT Problem Solving
- In A Locality, There Are Ten Houses In A Row. On A Particular Night GMAT Problem Solving
- The “Connection” Between Any Two Positive Integers a And b GMAT Problem Solving
- Find the least positive integers which must be added to 15,463 so that the result GMAT Problem Solving
- Mayank Buys Some Candies for $15 a dozen and An Equal Number of Different GMAT Problem Solving
- If John Throws a Coin Until a Series of Three Consecutive Heads GMAT Problem Solving
- In the Diagram Above, ABCD is a Parallelogram and the Areas of Yellow GMAT Problem Solving
- On certain road 10% of the motorists exceed the posted speed limit GMAT Problem Solving
- If n is a positive integer and the product of all the integers from 1 to n GMAT Problem Solving
- John has 10 pairs of matched socks. If he loses 7 individual socks GMAT Problem Solving
- If x is an integer and 4^x < 100, what is x? GMAT Problem Solving
- The ratio 2 to 1/3 is equal to the ratio GMAT Problem Solving
- In the Decimal Notation of Number (2/23)^3. What is the Third Digit GMAT Problem Solving
- Tom Read a Book Containing 480 Pages by Reading the Same Number GMAT Problem Solving
- A 100-litre Mixture of Milk and Water Contains 36 litres of Milk GMAT Problem Solving
- The Figure shows the Graph of y = (x + 1)(x - 1)^2 in the xy-plane GMAT Problem Solving
- If 75 Percent of a Class Answered the First Question on a Certain Test Correctly GMAT Problem SolvingA Clock Strikes 4 taking 9 seconds GMAT Problem Solving
- What is the Largest Power of 3 Contained in 200! GMAT Problem Solving
- Find The Value Of x GMAT Problem Solving
- 4 Out Of 15 Apples Are Rotten. They Are Taken Out One By One At Random GMAT Problem Solving
- Last Year 26 Members of a Certain Club Traveled to England, 26 Members Traveled to France, and 32 Members Traveled to Italy GMAT Problem Solving
- Running at the Same Constant Rate, 6 Identical Machines can Produce a Total of 270 Bottles Per Minute GMAT Problem Solving
- If 2^x + 2^y = x^2 + y^2, Where x and y are Nonnegative GMAT Problem Solving
- Hot Competition 3 Sep/8AM: In A Triangle ABC, Shown Above, Three Lines GMAT Problem Solving
- A Thief Steals a Car at 2.30 p.m. and Drives it at 60 km/h. The Theft GMAT Problem Solving
- If |x + 1 | > 2x - 1, Which Of The Following Represents The Correct Range GMAT Problem Solving
- Which Of The Following Is A True Statement? GMAT Problem Solving
- A machine puts c caps on bottles in m minutes. How many hours will it GMAT Problem Solving
- What is the least common multiple of 15, 18, and 24? GMAT Problem Solving
- The Price of Darjeeling Tea (in rupees per kilogram) is 100+0.10n GMAT Problem Solving
- A Migraine Typically Afflicts One Side of the Head, Lasts for Hours GMAT Sentence Correction
- A 5-meter-long wire is cut into two pieces. If the longer piece GMAT Problem Solving
- The average weight of 15 items is 8 kg. The least average GMAT Problem Solving
- In a class of 78 students 41 are taking French, 22 are taking German GMAT Problem Solving
- If |x| > 3, which if the following must be true? GMAT Problem Solving
- Kate and David each have $10. GMAT Problem Solving
- How many five digit numbers can be formed using the digits 0, 1, 2, 3, 4, and 5 which are divisible by 3, without repeating the digits? GMAT Problem Solving
- Which of the following lines are parallel to line x = 4 – 2y? GMAT Problem Solving
- John has 12 clients and he wants to use color coding to identify each client GMAT Problem Solving
- Which of the following expressions has the greatest values? GMAT Problem Solving
- If @ x=x^2/2x^2-2 , What is the Units Digit of @ (@4)? GMAT Problem Solving
- What is the product of all possible solutions of the equation |x+2|- 5|x+2| = -6? GMAT Problem Solving
- If 69% of k is 23, approximately how much is 23% of k? GMAT Problem Solving
- Metropolis Corporation has 4 Shareholders GMAT Problem Solving
- If x and y are positive integers and (1/7)^x * (1/8)^12 = (1/8)^1/18y, then what is the value of y-x? GMAT Problem Solving
- At Springfield High, three-fourths of the male students and half of the female students speak a foreign language GMAT Problem Solving
*The article might have information for the previous academic years, please refer the official website of the exam.