 Home
 Placement
 Quantitative Aptitude
 Mensuration
 Alligation or mixture
 Area
 Average
 Banker's Discount
 Boats & Streams
 Chain Rule
 Compound Interest
 Decimal Fraction
 Geometry
 Height & Distance
 Logarithm
 Mensuration
 Number System
 Partnership
 Percentage
 Permutation & Combination
 Pipes & Cisterns
 Probability
 Problems on Ages
 Problems on HCF and LCM
 Problems on train
 Profit & Loss
 Ratio & Proportion
 Simple Interest
 Simplification
 Square Root & Cube Root
 Stocks & Shares
 Surds & Indices
 Time & Distance
 Time & Work
 Trigonometry
 Volume & Surface Area
Arithmetic Aptitude
Data Interpretation


( 1 ) The height of a cone is 60cm. A small cone is cut off at the top of by a plane parallel to its base. If its volume is 1/64 of volume of the cone, at what height above the base is the section made?
 1) 17cm
 2) 50m
 3) 15m
 4) 25m

Show Answer Report Discussion in forumAnswer : 3) 15m
Solution : (1/3 * π * r_{1}^{2} * h_{1} )/ (1/3 π * r^{2} * h) / 1/64
(r_{1}/r)^{2} * h_{1}/h = 1/64
(h_{1}/h)^{3} = (1/4)^{3} ( r_{1}/r = h_{1}/h)
h_{1} = (1/4) * 60 = 15
discussion
Answer : 3) 15m



( 2 ) The width of a rectangle is 10 meter and its area is 120 square meter. If length of the rectangle is increased by 6.What is the new perimeter of the rectangle?
 1) 65
 2) 56
 3) 85
 4) 56

Show Answer Report Discussion in forumAnswer : 2) 56
Solution : Length = 120/10 = 12
(12 + 6) = 18
Perimeter = 2(10 + 18) = 56
discussion
Answer : 2) 56



( 3 ) There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven  third that of the smaller circle. Find the circumference of the smaller circle.
 1) 6π cm
 2) 8π cm
 3) 12π cm
 4) 16π cm

Show Answer Report Discussion in forumAnswer : 3) 12π cm
Solution : Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.
a^{2} = 784 = (4)(196) = (2^{2}).(14^{2})
a = (2)(14) = 28
a = 2l, l = a/2 = 14
l = (7/3)s
Therefore s = (3/7)(l) = 6
Circumference of the smaller circle = 2πs = 12π cm.
discussion
Answer : 3) 12π cm



( 4 ) An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
 1) Rs. 3642.40
 2) Rs. 3868.80
 3) Rs. 4216.20
 4) Rs. 4082.40

Show Answer Report Discussion in forumAnswer : 4) Rs. 4082.40
Solution : Length of the first carpet = (1.44)(6) = 8.64 cm
Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)
= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m
Cost of the second carpet = (45)(12.96 * 7) = 315 (13  0.04) = 4095  12.6 = Rs. 4082.40
discussion
Answer : 4) Rs. 4082.40



( 5 ) The total cost of painting the walls of a room is Rs 475. Find the cost of painting the walls of another room whose length, breadth and height each are double than the dimensions of the previous room.
 1) Rs 1780
 2) Rs 1900
 3) Rs 1846
 4) Rs 1960

Show Answer Report Discussion in forumAnswer : 2) Rs 1900
Solution : Area of first room = 2(l + b)*h
After all dimensions doubled, new area = 2(2l + 2b)*2h = 4[2(l + b) * h ] = 4 times previous area, so cost of painting = 4 * 475
discussion
Answer : 2) Rs 1900



( 6 ) What will be the cost of painting a hall whose area is 256sq m, if the rate of painting per sq m is Rs.22.
 1) Rs.1256
 2) Rs.1350
 3) Rs.2225
 4) Can't be determined

Show Answer Report Discussion in forumAnswer : 4) Can't be determined
Solution : Hall shape and it's parameter was not given
discussion
Answer : 4) Can't be determined



( 7 ) A right triangle with sides 15,16 and 18cm is rotated about the side 15cm to form a cone. The volume of the cone will be
 1) 4011.65 cubic cm
 2) 3022.65 cubic cm
 3) 4022.85 cubic cm
 4) 2022.65 cubic cm

Show Answer Report Discussion in forumAnswer : 3) 4022.85 cubic cm
Solution : h = 15, r = 16
Volume= 1/3* π * (16)^{2} * 15
discussion
Answer : 3) 4022.85 cubic cm



( 8 ) 5m radius and 12m height solid metallic cylinder is melted and recast into small spherical balls of radius 5m. Find the no of cubes that can be made ?
 1) 3
 2) 2
 3) 4
 4) 5

Show Answer Report Discussion in forumAnswer : 2) 2
Solution : Volume of cylinder = volume of cube
(3.14 * 5 * 5 * 12) = N(4/3 * 3.14 * 5 * 5 * 5)
N = (12 * 3)/(4 * 5) = 1.8 = 2
discussion
Answer : 2) 2



( 9 ) The side of a cube is 13 cm, Find its surface area?
 1) 1014 cm^{2}
 2) 1040 cm^{2}
 3) 1010 cm^{2}
 4) 1024 cm^{2}

Show Answer Report Discussion in forumAnswer : 1) 1014 cm^{2}
Solution : Surface area = 6a^{2} = 6 * 13 * 13 = 1014cm^{2}
discussion
Answer : 1) 1014 cm^{2}



( 10 ) Shalu wishes to start a 78sq m triangular flower garden. Since she has only 20m barbed wire, she fences three sides of the garden letting her house compound wall act as the fourth side fencing. The dimension of the garden is
 1) 26m*3m
 2) 14m*3m
 3) 25m*5m
 4) 12m*3m

Show Answer Report Discussion in forumAnswer : 1) 26m*3m
Solution : L = 20  2b
area of the garden = 78 sq m,
L * b =78
b*(202b) = 78
20b  2b^{2} = 78
b^{2} 10b + 39 = 0
b = 3 b = 13
b = 3 then L = 26
b = 13 then L = 6
Dimension = 26m * 3 m
discussion
Answer : 1) 26m*3m
