MCQOPTIONS
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MCQOPTIONS
This section includes 25 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In a rack and pinion system, rack is an element moving in translational direction and pinion is a rotary gear. Which one of the following statements is correct? |
| A. | Angular acceleration is inversely proportional to the torque on pinion shaft. |
| B. | Translational velocity is directly proportional to the moment of inertia of pinion. |
| C. | Translational acceleration is directly proportional to the moment of inertia of pinion. |
| D. | Translational acceleration is inversely proportional to the moment of inertia of pinion. |
| Answer» C. Translational acceleration is directly proportional to the moment of inertia of pinion. | |
| 2. |
A compliant motion control of robots can be understood by the problem of controlling of |
| A. | Position and velocity of joints |
| B. | Position and acceleration of the end-effector |
| C. | Manipulator motion and its force interactions with the environment. |
| D. | Joint velocities of given end-effector velocity. |
| Answer» D. Joint velocities of given end-effector velocity. | |
| 3. |
Assume that the joint mechanisms at serial link manipulators are frictionless. The joint torque t required to bear an arbitrary end point force F is |
| A. | J-1F |
| B. | JF |
| C. | JTF |
| D. | J-1FT |
| Answer» D. J-1FT | |
| 4. |
If the weight of 15 sheets of thick paper is 50 grams, how many sheets of the same paper would weigh \[1\frac{1}{4}\] kilograms? |
| A. | \[300\] |
| B. | \[250\] |
| C. | \[200\] |
| D. | \[375\] |
| Answer» E. | |
| 5. |
Two pipes A and B can fill a tank in 16 hours and 20 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank? |
| A. | \[8\frac{8}{5}\]hours |
| B. | \[8\frac{8}{9}\] hours |
| C. | \[8\frac{17}{9}\]hours |
| D. | \[8\frac{7}{9}\]hours |
| Answer» C. \[8\frac{17}{9}\]hours | |
| 6. |
If 40 men can complete a work in 10 days working 10 hours a day, then find the number of men is required the work in 5 days if they work 10 hours in a day. |
| A. | 100 men |
| B. | 60 men |
| C. | 150 men |
| D. | 80 men |
| Answer» E. | |
| 7. |
Robert can finish the writing of the book in 8 days while James can finish the same work in 10 days. If they work together, then how long they will take to finish the same work? |
| A. | \[10\frac{1}{2}\]days |
| B. | \[6\frac{2}{3}days\] |
| C. | \[\frac{4}{9}\] days |
| D. | \[4\frac{4}{9}\]days |
| Answer» E. | |
| 8. |
Twenty women can do work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman? |
| A. | 0.12777777777778 |
| B. | 0.16875 |
| C. | 5 : 3 |
| D. | data inadequate |
| Answer» C. 5 : 3 | |
| 9. |
Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom it took 32 min. more to fill the cistern. When the cistern is full, in what time will the leak empty it? |
| A. | 100 hours |
| B. | 111 hours |
| C. | 112 hours |
| D. | 114 hours |
| Answer» D. 114 hours | |
| 10. |
A is thrice as good a work man as B and therefore is able to finish a job in 60 days less than B, working together they can do it in: |
| A. | 20 days |
| B. | \[22\frac{1}{2}\] days |
| C. | 25 days |
| D. | 30 days |
| Answer» C. 25 days | |
| 11. |
Two pipes A and B can fill a tank in 2 hours and 75 minutes respectively. There is also an outlet C. If all the three pipes are opened together then the tank is full in 50 minutes. How much time will be taken by C alone to empty the full tank? |
| A. | 90 minutes |
| B. | 10 hours |
| C. | 150 minutes |
| D. | 120 minutes |
| Answer» C. 150 minutes | |
| 12. |
A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days , then B alone could do it in |
| A. | 15 days |
| B. | 20 days |
| C. | 25 days |
| D. | 30 days |
| Answer» D. 30 days | |
| 13. |
A and B working separately can do a piece of work in 9 and 12 days respectively. If they work on alternate days beginning with A, then in how many days, the work will be completed? |
| A. | \[11{\scriptstyle{}^{1}/{}_{4}}\]days |
| B. | \[5{\scriptstyle{}^{1}/{}_{4}}\] days |
| C. | \[\text{9}{\scriptstyle{}^{1}/{}_{4}}\] days |
| D. | \[\text{10}{\scriptstyle{}^{1}/{}_{4}}\] days |
| Answer» E. | |
| 14. |
A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days but with the help of C, they finish it in 3 days. Find the share of C. |
| A. | Rs. 75 |
| B. | Rs. 90 |
| C. | Rs. 110 |
| D. | Rs. 85 |
| Answer» B. Rs. 90 | |
| 15. |
A can do a certain job in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job? |
| A. | \[9\,\,{\scriptstyle{}^{1}/{}_{2}}\]days |
| B. | \[8\,\,{\scriptstyle{}^{1}/{}_{2}}\] days |
| C. | \[7\,\,{\scriptstyle{}^{1}/{}_{2}}\] days |
| D. | \[11\,\,{\scriptstyle{}^{1}/{}_{2}}\] days |
| Answer» D. \[11\,\,{\scriptstyle{}^{1}/{}_{2}}\] days | |
| 16. |
If A : B = 1: 3 and B : C = 4 : 5, then C : A is equal to __. |
| A. | 0.63055555555556 |
| B. | 12 ; 10 |
| C. | 0.33680555555556 |
| D. | 8 : 15 |
| Answer» B. 12 ; 10 | |
| 17. |
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, what is the number of revolutions made by the larger wheel? |
| A. | \[4\] |
| B. | \[9\] |
| C. | \[12\] |
| D. | \[49\] |
| Answer» C. \[12\] | |
| 18. |
A tailor makes 16 dresses from a \[40\text{ }m\]long material. How much material would be needed for 20 such dresses? |
| A. | \[20\text{ }m\] |
| B. | \[60\text{ }m\] |
| C. | \[\text{28 }m\] |
| D. | \[\text{50 }m\] |
| Answer» E. | |
| 19. |
Which of the following tables shows the inverse proportion? (i) x 6 12 30 48 y 250 125 50 31.25 (ii) x 115 130 145 160 y 615 600 585 570 (iii) x 50 100 300 1200 y 300 150 100 75 |
| A. | Only (i) |
| B. | Both (i) and (ii) |
| C. | Both (ii) and (iii) |
| D. | None of these |
| Answer» B. Both (i) and (ii) | |
| 20. |
Food in a camp lasts for 8 men for 29 weeks. How long would the food last for 10 men? |
| A. | \[22.3\]weeks |
| B. | \[24\]weeks |
| C. | \[32\] weeks |
| D. | \[23.2\]weeks |
| Answer» E. | |
| 21. |
A photograph of a type of bacteria enlarged 50000 times attains a length of 5 cm. What is the actual length of bacteria? |
| A. | \[1000\,cm\] |
| B. | \[{{10}^{-3}}\,cm\] |
| C. | \[{{10}^{-4}}\,cm\] |
| D. | \[{{10}^{-2}}\,cm\] |
| Answer» D. \[{{10}^{-2}}\,cm\] | |
| 22. |
A certain number of men can finish a piece of work in 100 days. If, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally? |
| A. | \[75\] |
| B. | \[82\] |
| C. | \[100\] |
| D. | \[110\] |
| Answer» E. | |
| 23. |
If x and y vary inversely as each other. and x = 10 when y = 6. Find y when x= 15, |
| A. | 3 |
| B. | 4 |
| C. | 2 |
| D. | 6 |
| Answer» C. 2 | |
| 24. |
A flagstaff \[17.5\text{ }m\] high casts a shadow of length\[40.25\text{ }m\]. What is the height of the building which casts a shadow of length \[28.75\text{ }m\] under similar conditions? |
| A. | \[\text{10 }m\] |
| B. | \[12.5\,m\] |
| C. | \[~17.5\,m\] |
| D. | \[21.25\,m\] |
| Answer» C. \[~17.5\,m\] | |
| 25. |
In a camp there is sufficient food for 105 soldiers for 21 days. If 42 soldiers leave the camp, how long would the food last? |
| A. | 30 |
| B. | 35 |
| C. | 65 |
| D. | 45 |
| Answer» C. 65 | |