গাণিতিক যুক্তি
মোট ১৯৫৮২ টি প্রশ্ন · উত্তর ও ব্যাখ্যাসহ · বিনামূল্যে
১৫৬৪১–১৫৬৬০ দেখানো হচ্ছে, মোট ১৯৫৮২ টির মধ্যে
- Two pipes P and Q can fill a tank in 12 and 15 hours respectively. Both pipes are opened together. After how many hours should pipe P be turned off so that the tank is filled in 10 hours? MCQ
- In covering a distance of 72 km, Robin takes 3 hours more than Karim. If Robin triples his speed, he would take 1 hour less than Karim. What is Robin's original speed in km/h? MCQ
- Two taps, P and Q, together can fill a tank in 12 minutes. If Tap Q takes 10 minutes more than Tap P to fill the tank separately, how much time will be taken by Tap P alone to fill the tank? MCQ
- A person travels equal distance with speeds of 3 km/hr, 4 km/hr and 5 km/hr and taken a total time of 47 minutes. The total distance (in km) is : MCQ
- A thief steals a motorcycle at 9:00 a.m. and rides away at 40 km/h. The theft is discovered at 10:00 a.m. and the owner immediately starts chasing the thief in a car at 60 km/h. At what time will the owner catch the thief? MCQ
- Anika ran from her house to the library at an average speed of 10 kmph and returned along the same route at an average speed of 15 kmph. If it took her 20 minutes in total to run to the library and come back, how many minutes did it take to run from her house to the library? MCQ
- One tap (A) fills a tank three times as fast as another tap (B). If both taps running together can fill the tank in 12 minutes, then how long will the slower tap (B) alone take to fill the tank? MCQ
- A boat's speed with the current is 22 km/hr and the speed of the current is 4 km/hr. What is the boat's speed against the current? MCQ
- A plan left 40 minutes late due to bad whether and order to reach its destination 1600 km away in time, it had increase its speed by 400 kmph from its usual speed. Find the usual speed of the plane? MCQ
- Two inlet pipes can fill a tank in 6 hours and 15 hours, respectively. An outlet pipe is attached to these two pipes, and thus, the tank was filled in 10 hours. In 30 hours, the outlet pipe alone can empty how many tanks? MCQ
- A motorcyclist covers the first 24 km in 12 minutes and the second 36 km in 18 minutes. Between these two segments, the motorcyclist stopped for 6 minutes for a rest. What is the average speed of the motorcycle in km/h? MCQ
- A cyclist completes a journey in 6 hours. He travels the first half of the journey at the rate of 12 km/hr and the second half at the rate of 20 km/hr. Find the total journey in km. MCQ
- If 3sin2θ + 2cos2θ = 2 and 0 ≤ θ ≤ 90°, then tanθ = ? MCQ
- The wheel of a scooter has a diameter of 140 cm. How many revolutions per minute must the wheel make so that the speed of the scooter is 132 km per hour? MCQ
- How many diagonals does a 10-sided polygon have? 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
- The value of sec 30° is: MCQ
- If the curved surface area of a sphere is equal to the curved surface area of a hemisphere, find the radius of the hemisphere. MCQ
- If the diameter of a circle is tripled, how many times will its new area increase? MCQ
- A ladder is leaning against a wall. It makes a 60° angle with the wall. If the distance between the foot of the ladder and the wall is 7 meters, find the length of the ladder. MCQ