Skip to main content
Sarkari MCQs Government Exam Question Bank
Menu
Question no. 56572

If Arif reads 39 pages in half an hour, how long will she take to finish a 1287-page book?

Select your answer for: If Arif reads 39 pages in half an hour, how long will she take to finish a 1287-page book?
Show answer

Answer: B. 16.5 Hours

Explanation

Reading thirty-nine pages in half an hour establishes a reading speed of seventy-eight pages per hour. To find the total duration required, divide the complete book length of twelve eighty-seven pages by the hourly reading rate. Dividing twelve eighty-seven by seventy-eight results in a total completion time of sixteen point five hours. Reading speed represents a standard rate calculated by dividing total pages read by elapsed time in hours. Unit rate calculations allow students to scale work performance metrics across larger quantities and durations. Decimal time representations convert fractional hour remainders into standard thirty-minute increments for clarity.

Option A suggests sixteen hours, underestimating the time required to read the remaining fraction of pages. Option C proposes seventeen hours, overestimating the total duration needed by failing to calculate the exact decimal quotient. Option D offers fifteen point five hours, which falls short of the true mathematical division result.

Subject
Mathematics
Category
Mathematics
Topic
—
Difficulty
medium

Related questions

Q1. Taps A, B, and C fill a tank in 12, 15, and 20 hours. With A open continuously and B and C operating on alternating hours, when will the tank be full is_______?

Select your answer for: Taps A, B, and C fill a tank in 12, 15, and 20 hours. With A open continuously and B and C operating on alternating hours, when will the tank be full is_______?
Show answer

Answer: C. 7 hrs

Tap rates per hour are one twelfth, one fifteenth, and one twentieth for A, B, and C respectively. Operating tap A continuously while B and C alternate fills cumulative fractions of the tank each hour. Summing the operat...

Q2. A wire bent into a square encloses 484 sq cm. If reshaped into a circle, what area will it enclose_________?

Select your answer for: A wire bent into a square encloses 484 sq cm. If reshaped into a circle, what area will it enclose_________?
Show answer

Answer: C. 616 Sq.cm

A square enclosing four hundred eighty four square centimeters has a side length of twenty two centimeters. Calculating the total perimeter of the square yields eighty eight centimeters of total wire length. Bending the...

Q3. Three 6-sided dice are rolled simultaneously. What is the probability that exactly two dice show matching numbers-.

Select your answer for: Three 6-sided dice are rolled simultaneously. What is the probability that exactly two dice show matching numbers-.
Show answer

Answer: B. 5/12

Rolling three six-sided dice generates a total sample space of two hundred sixteen possible outcome combinations. Counting all favorable outcomes where exactly two dice display matching numbers yields ninety possible way...

Q4. Pipes P, Q, and R fill a cistern in 20, 15, and 12 minutes respectively. How many minutes will all three take combined:__________?

Select your answer for: Pipes P, Q, and R fill a cistern in 20, 15, and 12 minutes respectively. How many minutes will all three take combined:__________?
Show answer

Answer: A. 5 min

Individual work rates for pipes P, Q, and R are one twentieth, one fifteenth, and one twelfth per minute. Summing the fractions one twentieth, one fifteenth, and one twelfth gives a combined rate of twelve over sixty. Si...

Q5. Towns X, Y, and Z sit along a river with Y equidistant from X and Z. A boatman takes 10 hours for X to Y and back, and 4 hours for X to Z. Find the ratio of his still water speed to the current speed.

Select your answer for: Towns X, Y, and Z sit along a river with Y equidistant from X and Z. A boatman takes 10 hours for X to Y and back, and 4 hours for X to Z. Find the ratio of his still water speed to the current speed.
Show answer

Answer: B. 5:3

Setting up algebraic equations for travel times between towns along a river establishes speed relationships. Comparing the boat speed in still water against the river current speed yields the required ratio. Simplifying...

Q6. In a group of 30 individuals, if everyone shakes hands with everyone else, how many total handshakes occur?

Select your answer for: In a group of 30 individuals, if everyone shakes hands with everyone else, how many total handshakes occur?
Show answer

Answer: B. 435

Every individual in a group shakes hands with every other person exactly once without duplicate counting. The mathematical formula for calculating total pairwise handshakes in any group is n multiplied by n minus one ove...

New!

Mock Test System is now available!

Prepare for your exam with interactive mock tests. Select your subjects, attempt 100 random MCQs against the clock, and see exactly where you stand.

Start Mock Test