গাণিতিক যুক্তি
মোট ১৯৫৮২ টি প্রশ্ন · উত্তর ও ব্যাখ্যাসহ · বিনামূল্যে
৩৩৮১–৩৪০০ দেখানো হচ্ছে, মোট ১৯৫৮২ টির মধ্যে
- An individual is cycling at a speed of 30 km per hour. He catches his predecessor who had started earlier in three hours. What is the speed of his predecessor who had started 3 hours earlier? MCQ
- A job can done by 3 skilled men in 15 days or by 5 boys in 30 days. How many days will they take if they work together? MCQ
- The speed of three cars is in the ratio of 2 : 3 : 4. The ratio of the times taken by these cars to travel the same distance is- MCQ
- A man completes a certain journey by a car. If he covered 40% of the distance at the speed of 20kmph. 30% of the distance at 15 kmph and the remaining of the distance at 30 kmph, his average speed is- MCQ
- A, B and C start together from the same place to walk round a circular path of length 12km. A walks at the rate of 6 km/h, B 3 km/h and C 3/2 km/h. They will meet together at the starting place at the end of- MCQ
- The speed of a car increases by 2 kms after every one hours. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours? MCQ
- The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 7.5 m away from the wall. The length of the ladder is? MCQ
- An observer 2.7 m tall is 18√3 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is- MCQ
- A mirror is placed on the ground facing upwards. A man sees the top of a tower in the mirror which is at a distance of 100 m from the mirror. The man is 0.5 m away from the mirror, and his height is 1.5 m. MCQ
- A pole of 72 metre long breaks into two parts without complete separation and makes an angle 30° with the ground. Find the length of the broken part of the pole. MCQ
- If tan 2A = cot(A - 30°) and 2A is an acute angle, then find 'A' is- MCQ
- ∠B is the right angle of a right angles triangle ABC. If tanA = 3/4, then 5sinACosA =? MCQ
- A circus artist is climbing a 28 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 60°. MCQ
- A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where to top touches the ground is 12 m then the height of the tree is- MCQ
- If θ is a positive acute angle and 4cos2θ - 1 = 0, then the value of tan(θ - 15°) is equal to? MCQ
- Two ships are sailing in the sea on the two sides of the lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 45° and 45° respectively. If the lighthouse is 120 m high, the distance between the two ships is? MCQ
- The angle of elevation of the top of a tower of height x metre from a point on the ground is found to be 60°. By going y metre away from that point, it becomes 30°. Which one of the following relations is correct? MCQ
- A boy of height 1.3 m is walking away from the base of a lamp post at a speed of 0.9 m/sec. Find the height of the lamp post from the ground, if the shadow of the boy is 2.4 m after walking for 5 sec. MCQ
- Which of these values cannot be the value of sinθ? MCQ
- A zip wire runs between two posts, 30m apart. The zip wire is at an angle of 60° to the horizontal. Calculate the length of the zip wire. MCQ