গাণিতিক যুক্তি
মোট ১৯৫৮২ টি প্রশ্ন · উত্তর ও ব্যাখ্যাসহ · বিনামূল্যে
১৫৯০১–১৫৯২০ দেখানো হচ্ছে, মোট ১৯৫৮২ টির মধ্যে
- An inlet pipe can fill a tank completely in 18 hours. In what time will the pipe fill 2/3 part of the tank? MCQ
- A passenger sitting by the window of a train notices that he can count 16 electric poles in one minute. If the poles are known to be 30 meters apart, at what speed is the train traveling in km/h? MCQ
- Two taps, P and Q, can fill a tank in 6 and 8 minutes respectively. A leak (outlet pipe) R can empty 20 liters of water per minute. If all three are opened together, the tank is filled in 12 minutes. What is the capacity of the tank in liters? MCQ
- A train was delayed by 30 minutes due to a technical snag. To cover the distance of 100 km on time, the driver had to increase its usual speed by 10 km/h. Find the usual speed of the train in km/h? MCQ
- An inlet pipe A can fill a cistern in 15 minutes and an outlet pipe B can empty it in 10 minutes. If the cistern is already full up to one-fourth of its capacity and both pipes are opened together, how long will it take to completely empty the cistern? MCQ
- A car travels a distance of 60 km in 1 hour and 40 minutes. How much faster, in kilometers per hour, on an average, must it travel to make the same trip in 20 minutes less time? MCQ
- Two pipes P and Q can fill a reservoir in 15 and 20 hours respectively. Both pipes are opened together. After how many hours should pipe P be turned off so that the reservoir is filled in 12 hours? MCQ
- In covering a distance of 48 km, Robin takes 2 hours more than Karim. If Robin triples his speed, he would take 2 hours less than Karim. What is Robin's original speed in km/h? MCQ
- A train covers a distance of 600 meters in 25 seconds, whereas a car covers a distance of 43.2 km in 36 minutes. What is the ratio of the speed of the train to the speed of the car? MCQ
- A thief steals a scooter at 10:00 a.m. and drives away at 30 km/h. The theft is discovered at 11:00 a.m. and the owner immediately starts chasing the thief in a car at 50 km/h. At what time will the owner catch the thief? MCQ
- The ratio between the speeds of two trains, Train P and Train Q, is 7:9. If Train Q covers a distance of 270 km in 3 hours, find the speed of Train P in km/h. MCQ
- One tap (A) fills a reservoir four times as fast as another tap (B). If both taps running together can fill the reservoir in 20 minutes, then how long will the slower tap (B) alone take to fill the reservoir? MCQ
- Fahim is travelling to City B. He calculated that if he travels at 20 km/h, he will reach there at 3 : 00 p.m., but if he travels at 30 km/h, he will reach there at 1 : 00 p.m. At what speed must he travel to reach City B exactly at 2 : 00 p.m.? MCQ
- Two ships, Alpha and Beta, start towards each other from two ports, 160 km apart. The speeds of Ship Alpha and Ship Beta in still water are 16 km/h and 24 km/h respectively. If Ship Alpha proceeds downstream and Ship Beta proceeds upstream, they will meet after how many hours? MCQ
- Two inlet pipes can fill a tank in 10 hours and 20 hours, respectively. An outlet pipe is attached to these two pipes, and thus, the tank was filled in 12 hours. In 90 hours, the outlet pipe alone can empty how many tanks? MCQ
- A motorcyclist covers the first 40 km in 20 minutes and the second 60 km in 30 minutes. Between these two segments, the motorcyclist stopped for 10 minutes for a rest. What is the average speed of the motorcycle in km/h? MCQ
- A cyclist completes a journey in 8 hours. He travels the first half of the journey at the rate of 15 km/hr and the second half at the rate of 25 km/hr. Find the total journey in km. MCQ
- A trapezium has an area of 150 square centimeters. If the lengths of its two parallel sides are 12 cm and 18 cm, what is the distance between these two parallel sides?
MCQ - Which trigonometric ratio is undefined in value?
MCQ - Given that the diagonal of a square measures 10√2 units, find the area of the square in square units.
MCQ