# Model Questions for RRB LOCO PILOT(ALP) Exam : Maths Set -19

## Model Questions for RRB LOCO PILOT(ALP) Exam : Maths Set -19

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

(a) 22

(b) 24

(c) 26

(d) 32

**2. 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) 24 metres

(d) 32 metres

**3. 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

**4. 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) 25cm

(b) 20cm

(c) 24cm

(d) 22cm

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

(b) 2 : 1

(c) 1 : 2

(d) 1 : 4

## Study Kit for Railway Recruitment Board (RRB) Loco Pilot (ALP) Exams

रेलवे भर्ती बोर्ड (आरआरबी) लोको पायलट परीक्षा के लिए अध्ययन सामग्री

**6. 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) 5 days

(c) 10 days

**7. 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) 20 days

(c) 25 days

(d) 30 days

**8. 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) 50 minutes

(b) 12 minutes

(c) 25 minutes

(d) 15 minutes

**9. 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) 5 days

(b) 4 days

(c) 6 days

(d) 7 days

**10. 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) 5 days

(c) 8 days

(d) 10 days