Mensuration Questions for IBPS Clerk Mains 2017

Dear Aspirants,

Mensuration Questions for IBPS Clerk Mains 2017
Quantitative Aptitude for IBPS Clerk Mains 2017

Quantitative Aptitude
 (Mensuration) is a very important section you must prepare if you are aiming for a job in Bank or Insurance sector. So, these 15 questions can help you practice three very important topics of Quant Section.

Q1. The perimeter of a square is equal to twice the perimeter of a rectangle of length of 8 cm and breadth 7 cm. What is the circumference of a semicircle whose diameter is equal to the side of the square? (Rounded off to the two decimal places)(take π = 3.14) 
(a) 38.57 cms. 
(b) 23.57 cms. 
(c) 42.46 cms. 
(d) 47.47 cms. 
(e) 35.87 cms.
Q2. Four circles having equal radii are drawn with centres at the four corners of a square. Each circle touches the other two adjacent circle. If remaining area of the square is 168 cm square, what is the size of the radius of the circle? (in centimeters ) (take π = 22/7) 
(a) 1.4  
(b) 14 
(c) 35
(d) 21
(e) 3.5 

Q3. The length and breadth of the floor of a room are 20 feet and 10 feet respectively. Square tiles of 2 feet length of three different colours are to be laid to the floor. Black tiles are laid in the first row on all sides. If white titles are laid in the one-third of the remaining and blue tiles in the rest, how many blue tiles will be there? 
(a) 48  
(b) 32 
(c) 16
(d) 24
(e) None of these 

Q4. The radius of a circular field is equal to the side of a square field. If the difference between  the perimeter of the circular field and that of the square field is 32m, what is the perimeter of the square field? (in metere) 
(a) 84
(b) 95
(c) 56
(d) 28
(e) 112 

Q5. A well with 21 metre inner diameter is dug 10m deep. Earth taken out of it, has been evenly spread all around it to a width of 14 m to form an embankment. The height (in metres) of the embankment is : 

Q6. Each dimension in metres of a rectangular solid is an integer less than 17, the volume of the solid is 3120 cubic metre. If the height of the solid is 16m and length of the solid is 15 metre, what is the surface area (in sq. metre) of the solid? 
(a) 1826 
(b) 1268
(c) 1395 
(d) 1286
(e) 643

Q7. The areas of three consecutive faces of a cuboid are 12 cm square,20cm square  and 15 cm square, then the volume (in cm square) of the cuboid is 
(a) 3600 
(b) 100 
(c) 80 
(d) 60
(e) 120

Q8. A ball of lead 4 cm in diameter is covered with gold. If the volume of the gold and lead are equal, then the thickness of gold [given ∛2 = 1.259] is approximately 
(a) 5.038 cm 
(b) 5.190 cm  
(c) 1.038 cm  
(d) 0.518 cm 
(e) 5.18 cm

Q9. If the area of the base of a cone is 770 cm square and the area of the curved surface is 814 cm square, then its volume (in cm cube) is 
(a) 213√5
(b) 392√5 
(c) 550√5
(d) 616√5
(e) 616√3

Q10. The outer circumference of a 1 cm thick pipe is 44 cm. How much water will 7 cm of the pipe hold. (take π=22/7) 
(a) 1078 cm cube
(b) 1792 cm cube
(c) 303 cm cube
(d) 792 cm cube
(e) 972 cm cube

Q11. Two solid cylinders of radii 4 cm and 5 cm and lengths 6 cm and 4 cm, respectively are recast into cylindrical disc of thickness 1 cm. The radius of the disc is 
(a) 7 cm 
(b) 14 cm 
(c) 21 cm  
(d) 28 cm 
(e) 32 cm
Q12. The diameter of the base of a cylindrical drum is 35 dm and the height is 24 dm. It is full of kerosene. How many tins each of size 25cm × 22cm × 35cm can be filled with kerosene from the drum? (use π=22/7) 
(a) 1200 
(b) 1020
(c) 600 
(d) 120
(e) 160

Q13. A path of uniform width surrounds a circular park. The difference of internal and external circumferences of this circular path is 132 m. Its width is (take π=22/7)
(a) 22 m 
(b) 20 m 
(c) 21 m 
(d) 24 m 
(e) 26 m

Q14. A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30 m/min, then the radius of the circular ground is (take π=22/7). 
(a) 10.5 m
(b) 3.5 m 
(c) 5.5 m 
(d) 7.5 m 
(e) 8.5 m

Q15. The area of a triangle is 216 cm2 and its sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is  
(a) 6 cm 
(b) 12 cm 
(c) 36 cm 
(d) 72 cm 
(e) 24 cm


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