Model Questions for SSC CGL TIER-2 Maths Set - 11

1. A and B can do a work in 18 and 24 days respectively. They worked together for 8 days and then A left. The remaining work was finished by B in:

(a) 7 days

(c) 12 days
(d)10 days

2. If 6 men and 8 boys can do a piece of work in 10 days and 266 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys to do the same type of work will be:

(a) 6 days
(b) 8 days
(c) 5 days
(d) 9 days

3. Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. If both pipes are opened together, the time taken to fill the tank is:

(a) 15 minutes
(b) 12 minutes
(c) 25 minutes
(d) 50 minutes

4. A is thrice as good a work­man as B and therefore, able to finish a job in 60 days less than B. Working together they will do it in:

(a) 30 days

(c) 40 days
(d) 25 days

5. A and B can do a work in 12 days. B and C in 15 days. C and A in 20 days. If A, B and C work together, they will complete the work in:

(a) 6 days

(c) 10 days

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6. Two right circular cylinders of equal volume have their heights in the ratio 1 : 2. The ratio of their radii is

(b) 1 : 4
(c) 1 : 2
(d) 2 : 1

7. A conical vessle whose internal radius is 12 cm and height 50 cm is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is

(a) 24cm
(b) 20cm
(c) 25cm
(d) 22cm

8. A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone, then

(a) H = 2R


(d) B = 3R

9. The breadth of a rectangular hall is three-fourths of its length. If the area of the floor is 768 sq. m. then the difference between the length and breadth of the hall is

(a) 8 metres
(b) 12 metres
(c) 32 metres
(d) 24 metres

10. The area of a circle is 38.5 sq. cm. Its circumference (in cm) is

(a) 32
(b) 26
(c) 24
(d) 20

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Answer:

1. (d) 2. (a) 3. (c) 4. (d) 5. (c) 6. (b) 7. (c) 8. (c) 9. (d) 10. (a)