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Learn Math MCQs [Page 1 of Department 21]

1) A racetrack is in the form of a right triangle. The longer of the legs of track is 2 km more than the shorter of the legs (both these legs being on a highway). The start and end points are also connected to each other through a side road. The escort vehicle for the race took the side road and rode with a speed of 30 km/h and then covered the two intervals along the highway during the same time with a speed of 42 km/h. find the length of the race track. 

(A) 14 km
(B) 10 km
(C) 24 km
(D) 36 km
Correct Answer - Option (A)

No Explanation found. Add Explanation and get +2 points.

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2) A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days, B had to leave and A alone completed the remaining work. The whole work was completed in :

(A) 8 days
(B) 12 days
(C) 15 days
(D) 10 days
Correct Answer - Option (B)

No Explanation found. Add Explanation and get +2 points.

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3) A and B working separately can do a piece of work in 10 days and 15 days respectively. If they work on alternate days beginning with A, in how many days will the work be completed ?

(A) 13 days
(B) 12 days
(C) 6 days
(D) 18 days
Correct Answer - Option (B)

No Explanation found. Add Explanation and get +2 points.

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4) A and B can do a piece of work in 30 days while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work ?

(A) 24 days
(B) 30 days
(C) 36 days
(D) 18 days
Correct Answer - Option (D)

No Explanation found. Add Explanation and get +2 points.

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5) A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in

(A) 7 days
(B) 11 days
(C) 3 days
(D) 5 days
Correct Answer - Option (D)

No Explanation found. Add Explanation and get +2 points.

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6) A and B alone can complete work in 9 days and18 days respectively. They worked together; however 3 days before the completion of the work A left. In how many days was the work completed ?

(A) 8 days
(B) 6 days
(C) 5 days
(D) 13 days
Correct Answer - Option (A)

No Explanation found. Add Explanation and get +2 points.

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7) A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in :

(A) 6 days
(B) 10 days
(C) 10.5 days
(D) 5 days
Correct Answer - Option (B)

No Explanation found. Add Explanation and get +2 points.

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8) A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in

(A) 15 2/3 days
(B) 16 1/3 days
(C) 18 2/3 days
(D) 14 1/3 days
Correct Answer - Option (D)

No Explanation found. Add Explanation and get +2 points.

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9) A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the job ?

(A) 60 days
(B) 48 days
(C) 54 days
(D) 50 days
Correct Answer - Option (A)

No Explanation found. Add Explanation and get +2 points.

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10) A, B and C can complete a work in 10, 12 and 15 days respectively. They started the work together. But A left the work before 5 days of its completion. B also left the work 2 days after A left. In how many days was the work completed?

(A) 5 days
(B) 7 days
(C) 8 days
(D) 4 days
Correct Answer - Option (B)

No Explanation found. Add Explanation and get +2 points.

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