Question : 1 – If the diameter of a sphere is 14 cm, then what is the surface area (in cm2) of the sphere? [ 08-AUG-2017 Shift-1 ]
Options:
1) 616
2) 308
3) 462
4) 636
Correct Answer: 616
Question : 2 – One of the diagonal of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal? [ 08-AUG-2017 Shift-2 ]
Options:
1) 3 : 10
2) 3 : 20
3) 7 : 20
4) 7 : 10
Correct Answer: 7 : 20
Question : 3 – 40 men took a dip in a pool 30 m long and 25 m broad. If the average water displaced by a man is 5 m3, then what will be the rise (in cm) in level of the pool? [ 08-AUG-2017 Shift-3 ]
Options:
1) 25
2) 26.66
3) 27.33
4) 28
Correct Answer: 26.66
Question 4 – The length, breadth and height of a cuboid are in the ratio 19 : 11 : 13. If length is 30 cm more than height, then what is the volume (in cm3) of this cuboid?
Options:
1) 81510
2) 89665
3) 195300
4) 339625
Correct Answer: 339625
Question : 5 – Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area? [ 09-AUG-2017 Shift-1 ]
Options:
1) 12
2) 14
3) 16
4) 28
Correct Answer: 2
Question : 6– The length of two parallel sides of a trapezium are 18 m and 24 m. If its height is 12 m, then what is the area (in m2) of the trapezium ? [09-AUG-2017 Shift-2 ]
Options:
1) 126
2) 252
3) 504
4) 1024
Correct Answer: 252
Question : 7 – A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what percent of material is wasted? [09-AUG-2017 Shift-3 ]
Options:
1) 48.5
2) 37.5
3) 57.8
4) 64
Correct Answer: 57.8
Question : 8 – If the diameter of a hemisphere is 21 cm, then what is the volume (in cm3) of hemisphere? [ 10-AUG-2017 Shift-1 ]
Options:
1) 2810
2) 1250.5
3) 1725.25
4) 2425.5
Correct Answer: 2425.5
Question:9) Due to increase of k% in the side, the area of a square increases by 69%. What is the value of k?[12-AUG-2017 Shift-1]
Options:
1) 30
2) 33
3) 34.5
4) 35
Correct Answer: 30
Question:10)A solid sphere of diameter 7 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area ?[11-AUG-2017 Shift-2]
Options:
1) 77
2) 154
3) 87
4) 38.5
Correct Answer: 77
Question:11) A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percent of material is wasted this process?[12-AUG-2017 Shift-3]
Options:
1) 25
2) 0
3) 5
4) 10
Correct Answer: 25
Question:12) How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?[16-AUG-2017 Shift-1]
Options:
1) 112
2) 108
3) 116
4) 104
Correct Answer: 108
Question:13) If the radius of the cylinder is decreased by 20%, then by how much percent the height must be increased, so that the volume of the cylinder remains same?[16-AUG-2017 Shift-2]
Options:
1) 20
2) 36.25
3) 56.25
4) 65
Correct Answer: 56.25
Question:14)The diagonal of a square is 12 cm what is the length (in cm) of its side?[17-AUG-2017 Shift-1]
Options:
1) 6√2
2) 12√2
3) 6
4) 9
Correct Answer: 6√2
Question:15)Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?
Options:
1) 12
2) 20
3) 24
4) 10
Correct Answer: 10
Question:16)Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?[21-AUG-2017 Shift-3]
Options:
1) 12
2) 20
3) 24
4) 10
Correct Answer: 10
Question:17)A cylindrical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of the conical heap is 24 cm, what is the radius of its base?[31 August 2016- Morning Shift]
Options:
1) 12 cm
2) 24 cm
3) 36 cm
4) 48 cm
Correct Answer: 36 cm
Question:18)The volume of metallic cylindrical pipe of uniform thickness is 748 c.c. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is?[29 August 2016- Morning Shift]
Options:
1) 0.5 cm
2) 1.5 cm
3) 1 cm
4) 2 cm
Correct Answer: 1 cm
Question:19).A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is?[28 August 2016- Evening Shift]
Options:
1) 5
2) 10
3) 20
4) 22
Correct Answer: 20
Question:20).A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is?[4 September 2016- Morning Shift]
Options:
1) 5√5 cm
2) 5√3 cm
3) 5√15 cm
4) 5√10 cm
Correct Answer: 5√15 cm
Question:21)A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is?[10 September 2016]
Options:
1) 19 cm
2) 21 cm
3) 23 cm
4) 25 cm
Correct Answer: 19 cm
Question:22) If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?[12-AUG-2017 Shift-1]
Options:
1) 125√3
2) 147√3
3) 156√3
4) 169√3
Correct Answer: 147√3
Question:23)The lengths of two parallel sides of a trapezium are 21 cm and 9 cm. If its height is 10 cm, then what is the area (in cm2) of the trapezium?[12-AUG-2017 Shift-2]
Options:
1) 35
2) 75
3) 150
4) 225
Correct Answer: 150
Question:24) What is the area (in sq cm) of a rhombus if the lengths of its diagonals are 25 cm and 20 cm?[17-AUG-2017 Shift-2]
Options:
1) 500
2) 250
3) 125
4) 200
Correct Answer: 250
Question:25)The areas of two similar triangles ΔABC and ΔPQR are 121 sq cms and 64 sq cms respectively. If PQ = 12 cm, what is the length (in cm) of AB?[17-AUG-2017 Shift-2]
Options:
1) 7.25
2) 6.25
3) 16.5
4) 5.25
Correct Answer: 16.5
Question:25) What is the area (in sq cm) of an equilateral triangle of side 10 cm?
Options:
1) 25√3
2) 50√3
3) 75√3
4) 10√3
Correct Answer: 25√3
Question:26)What is the area (in sq cm) of a circle whose circumference is 22 cm?
Options:
1) 77
2) 38.5
3) 44
4) 88
Correct Answer: 38.5
Question:27) What is the area (in sq cm) of an equilateral triangle of side 10 cm?[21-AUG-2017 Shift-1]
Options:
1) 25√3
2) 50√3
3) 75√3
4) 10√3
Correct Answer: 25√3
Question:28)What is the area (in sq cm) of a circle whose circumference is 22 cm?[21-AUG-2017 Shift-2]
Options:
1) 77
2) 38.5
3) 44
4) 88
Correct Answer: 38.5
Question:29)In a trapezium ABCD, AB || CD, AB < CD, CD = 6 cm and distance between the parallel sides is 4 cm. If the area of ABCD is 16 cm2, then AB is?[31 August 2016- Morning Shift]
Options:
1) 1 cm
2) 2 cm
3) 3 cm
4) 8 cm
Correct Answer: 2 cm
Question:30).A rectangle with one side of length 4 cm is inscribed in a circle of diameter 5 cm . Find area of the rectangle.[30 August 2016- Afternoon Shift]
Options:
1) 21 cm2
2) 12 cm2
3) 4 cm2
4) 3 cm2
Correct Answer: 12 cm2
Question:31)The area of the largest triangle that can be inscribed in a semicircle of radius 6m is?[29 August 2016- Morning Shift]
Options:
1) 36 m2
2) 72 m2
3) 18 m2
4) 12 m2
Correct Answer: 36 m2
Question:32)The area of a rectangle in 60 cm2 and its perimeter is 34 cm, then the length of the diagonal is?[29 August 2016- Evening Shift]
Options:
1) 17cm
2) 11cm
3) 15cm
4) 13cm
Correct Answer: 13cm
Question:33)A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the centre of the circle is?[29 August 2016- Evening Shift]
Options:
1) 8cm
2) 6cm
3) 4cm
4) 12cm
Correct Answer: 6cm
Question:34)The perimeter of a rhombus is 240 m and the distance between any two parallel sides is 20 m. The area of the rhombus in sq.m. is?[28 August 2016- Morning Shift]
Options:
1) 600
2) 1200
3) 2400
4) 4800
Correct Answer: 1200
Question:35)Radius of the incircle of an equilateral ΔABC of sides 2√3 units is x cm. The value of x is?[28 August 2016- Morning Shift]
Options:
1) ⅓
2) ½
3) 1
4) √3
Correct Answer: 1
Question:36)The length of the two adjacent sides of a rectangle inscribed in a circle are 5 cm and 12 cm respectively. Then the radius of the circle will be?[28 August 2016- Evening Shift]
Options:
1) 6 cm
2) 6.5 cm
3) 8 cm
4) 8.5 cm
Correct Answer: 6 . 5 cm
Question:37)O is the circumcentre of ΔABC. If AO = 8 cm, then the length of BO is?[27 August 2016- Morning Shift]
Options:
1 ) 12 cm
2 ) 3 cm
3 ) 6 cm
4 ) 8 cm
Correct Answer: 8 cm
Question:38)The length of the two parallel sides of a trapezium are 16 m and 20 m respectively. If its height is 10 m, its area in square metres is?
Options:
1) 360
2) 260
3) 240
4) 180
Correct Answer: 180
Question:39).The perimeter of two similar triangles ABC and PQR are 36 cms and 24 cms respectively. If PQ = 10 cm then the length of AB is?[1 September 2016- Morning Shift]
Options:
1) 18 cm
2) 12 cm
3) 15 cm
4) 30 cm
Correct Answer:15 cm
Question:40) The centroid of an equilateral triangle ABC is G. If AB is 6 cms, the length of AG is?[1 September 2016- Morning Shift]
Options:
1) √3 cm
2) 2√3 cm
3) 3√2 cm
4) 2√2 cm
Correct Answer:2√3 cm
Question:41)Two circles of radii 17 cm and 8 cm are concentric. The length of a chord of greater circle which touches the smaller circle is?[1 September 2016- Evening Shift]
Options:
1) 15 cm
2) 16 cm
3) 30 cm
4) 34 cm
Correct Answer: 30 cm
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