Mathematics Mcqs for PPSC, FFPS, NTS

C takes 6 days to complete half of a work and D takes 5 days to complete 1/3rd of the same work. They take turns to complete the task. If C works for the first 4 days, in how many days will D complete the rest of the work without the help of C?

A. 10 days
B. 12 days
C. 8 days
D. 9 days

P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?

A. Rs.40
B. Rs.70
C. Rs.90
D. Rs.100

The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electric pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole ?

A. 5 metres
B. 8 metres
C. 10 metres
D. 12 metres

The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is :________?

A. 30°
B. 45°
C. 60°
D. 90°

From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is :_________?

A. 149 m
B. 156 m
C. 173 m
D. 200 m

If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.

A. 50°
B. 60°
C. 70°
D. 80°

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :_________?

A. 173 m
B. 200 m
C. 273 m
D. 300 m

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :_________?

A. 2.3 m
B. 4.6 m
C. 7.8 m
D. 9.2 m

P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?

A. 5 days
B. 10 days
C. 15 days
D. 12 days

P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?

A. 8
B. 6
C. 4
D. 2