গাণিতিক যুক্তি
মোট ১৯৫৮২ টি প্রশ্ন · উত্তর ও ব্যাখ্যাসহ · বিনামূল্যে
১৫৬২১–১৫৬৪০ দেখানো হচ্ছে, মোট ১৯৫৮২ টির মধ্যে
- √(5x - 4) = - 1, determine the value of x? MCQ
- If dividing P(x) = 3x3 - 5x2 + cx - 7 by (x - 2) results in the remainder 5, then find the value of c. MCQ
- Find the product of two consecutive numbers if four times the first number is 3 more than three times the second number. MCQ
- What should be the value of "P" so that the expression (9 − 12x + Px2) becomes a perfect square? MCQ
- If a2 + bc + ac + ab is divided by a + b, what is the result? MCQ
- If one root of x2 - (p + 4)x + 20 = 0 is 5, then find the value of p. MCQ
- If x3 - y3 = 64 and x - y = 4, what is the value of xy? MCQ
- Rima and Maisha start walking from P to Q at 7 and 3 kmph respectively. Rima reaches Q and starts back for P. How far from Q will she meet Maisha if the distance between P and Q is 24 km? MCQ
- A reservoir can be filled in 6 hours by three taps, P, Q, and R. Tap R is three times as fast as Q, and tap Q is twice as fast as P. How long will tap Q alone take to fill the reservoir? MCQ
- A plane traveling at 300 miles per hour is heading for Tokyo International Airport at 11:50 pm. It is 25 miles from the airport. At what time will it arrive at the airport? MCQ
- A tap can fill a cistern in 12 hours. Due to a drain pipe at the bottom, it takes 15 hours to fill the same cistern. If the cistern is full, how much time will the drain pipe take to empty it? MCQ
- A ferry, when empty, travels twice as fast as when it is full. It travels 30 miles south with cargo, spends 30 minutes unloading, and returns to its original port empty in a total of 8 hours. What is the speed of the ferry when it is empty? MCQ
- Three pipes A, B, and C can fill a tank in 6, 12 and 24 hours respectively. Pipe A was opened at 8 a.m. Pipe B at 9 a.m. and Pipe C at 10 a.m. When will the tank be completely full? MCQ
- A cyclist covers 12 rounds of a circular track of 500 meters every day. The time taken by the cyclist for three consecutive days are 60, 70, and 50 minutes respectively. On an average, what is the speed of the cyclist in meters/minute? MCQ
- An inlet pipe can fill a tank completely in 24 hours. In what time will the pipe fill (3/4) part of the tank? MCQ
- Javed traveled from home to office at an average speed of 20 mph. Then he drove back from the office at an average speed of 30 mph. If he spent a total of 3 hours traveling and he took the same road each way, what is the total distance (in miles) that Javed travelled? MCQ
- Two taps, P and Q, can fill a tank in 8 and 12 minutes respectively. A leak (outlet pipe) R can empty 15 liters of water per minute. If all three are opened together, the tank is filled in 24 minutes. What is the capacity of the tank in liters? MCQ
- The speeds of P and Q are in the ratio 4 : 5. P takes 15 minutes more than Q to reach the same destination. Find the time taken by P to reach the destination. MCQ
- An inlet pipe A can fill a cistern in 12 minutes and an outlet pipe B can empty it in 9 minutes. If the cistern is already Fill up to one-third of its capacity and both pipes are opened together, how long will it take to completely empty the cistern? MCQ
- A car travels 120 km in 2 hours 30 minutes. How much faster (km/h) must it travel to cover the same distance in 30 minutes less? MCQ