| 51. If a boy walks from his house to school at the rate of 4 km per hour, he reaches the school 10 minutes earlier than the scheduled time. However, if he walks at the rate of 3 km per hour, he reaches 10 minutes late. Find the distance of his school from his house. a) 5 km b) 4 km c) 6 km d) 4.5 km 52. Two trains are running 40 km/hr and 20 km/hr respectively in the same direction. The fast train completely passes a man sitting in the slow train in 5 seconds. The length of the fast train is a) 23 and 2/9m b) 27 m c) 27 and 7/9 m d) 23 m 53. The compound interest on Rs. 5000 for 3 years at 10% p.a. will amount to a) RS. 1654 b) Rs. 1655 c) Rs. 1600 d) Rs. 1565 54. If a right circular cone of height 24 cm has a volume of 1232 cm3, then the area ( in cm2) of curved surface is a) 550 b) 704 c) 924 d) 1254 55. The diameter of a circular wheel is 7 m. How many revolutions will it make in traveling 22 km ? a) 100 b) 400 c) 500 d) 1000 56. The area of an equilateral triangle is 9√3 m². The length (in m) of the median is a) 2√3 b) 3√3 c) 3√2 d) 2√2 57. If each edge of a cube is increased by 50%, the percentage increase in surface area is a) 125% b) 50% c) 100 % d) 75% 58. How many tiles, each 4 decimeter square, will be required to cover the floor of a room 8m long and 6 m broad? a) 200 b) 260 c) 280 d) 300 59. If the surface areas of two spheres are in the ratio 4:9, then the ratio of their volumes will be a) 4:9 b) 16:27 c) 8:27 d) 16:9 60. if x=y=333 and z=334, then the values of x³+y³+z³-3xyz is a) 0 b) 667 c) 1000 d) 2334 61. If (x-a²)/(b+c) + (x-b²)/(c+a) + (x-c²)/(a+b) = 4(a+b+c) than x is equal to a) (a+b+c)² b) a²+b²+c² c) ab+bc+ca d) a²+b²+c²-ab-bc-ca 62. If h,c,v are respectively the height, curved surface area and volume of a right circular cone, then the value of 3πvh³-c²h²+9v² is a) 2 b) -1 c) 1 d) 0 63. The volume of a conical tent is 1232 cu.m and the area of its base is 154 sq. m. Find the length of the canvas required to build the tent, if the canvas is 2m in width. (Take π=22/7) a) 270m b) 272m c) 276m d) 275m 64. Assume that a drop of water is spherical and its diameter is one tenth of a cm. A conical glass has height equal to the diameter of its rim. If 32000 drops of water fill the glass completely, then the height of the glass, in cm, is a) 1 b) 2 c) 3 d) 4 65. The total number of spherical bullets each of diameter 5 decimeter, that can be made by utilizing the maximum of a rectangular block of lead with 11 meter length, 10 meters breadth and 5 meters width is ( assume that π>3) a) euqal to 8800 b) less than 8800 c) equal to 8400 d) geater than 9000 66. The diagonals of a rhombus are 12 cm and 16 cm respectively. The length of one side is a) 8 cm b) 6 cm c) 10 cm d) 12 cm 67. A rectangular block of metal has dimensions 21 cm, 77 cm, and 24 cm. The block has been melted into a sphere. The radius of the sphere is ( Taken π=22/7) a) 21 cm b) 7 cm c) 14 cm d) 28 cm 68. If x= 51/3 + 2, then the value of x³-6x²+12x-13 is a) -1 b) 1 c) 2 d) 0 69. A tower standing on a horizontal plane subtends a certain angale at a point 160 m apart from the foot of the towr. On advancing 100 m towards it, the tower is found to subtend an angle twice as before. The height of the tower is a) 80 m b) 100 m c) 160 m d) 200 m 70. <A, <B, <C are three angles of a triangle. If <A - <B=15°, <B - <C=30°, then <A, <B and <C are a) 80°,60°,40° b) 70°,50°,60° c) 80°,65°,35° d) 80°,55°,45° 71. If ABC is an equilateral triangle and D is a point on BC such that AD Perpendicular on BC, then a) AB:BD=1:1 b) AB:BD=1:2 c) AB:BD=2:1 d) AB : BD=3:2 72. ΔABC is an isosceles triangle and AB=AC=2a unit, BC=a unit. Draw AD perpendicular on BC, and find the length of AD a) √15 b) √15/2 c) √17 d) √17/2 73. All sides of a quadrilateral ABCD touch a circle. If AB=6cm ,BC=7.5 cm, CD=3 cm, then DA is a) 3.5 cm b) 4.5 cm c) 2.5 cm d) 1.5 cm 74. If (x-a)(x-b)=1 and a-b+5=0, then the value of (x-a)³ - 1/(x-a)³ is a) -125 b) 1 c) 125 d) 140 75. If √x = √3 - √5, then the value of x²-16x+6 is a) 0 b) -2 c) 2 d) 4 76. The value of √(2 3√(4 √(2 3√(4...... is a) 2 b) 22 c) 23 d) 25 77. The value of {3√2/(√3 + √6) - 4√3/(√6 + √2) + √6/(√2 + √3)} is a) √2 b) 0 c) √3 d) √6 78. If a²+b²+c² = 2(a-b-c), then the value of 4a-3b+5c is a) 2 b) 3 c) 5 d)6 79. If 2x + 2/x =3, then the value of x³ + 1/x³ +2 is a) -9/8 b) -25/8 c) 7/8 d) 11 80. Out of the given responces, one of the factors of (a²-b²)³+(b²-c²)³+(c²-a²)³ is a) (a+b)(a-b) b) (a+b)(a+b) c) (a-b)(a-b) d) (b-c)(b-c) 81. An isosceles triangle ABC is right angled at B. D is a point inside the triangle ABC. P and Q are the feet of the perpendiculars drawn from D on the sides AB and AC respectively of ΔABC. If AP=a cm, AQ=b cm and <BAD=15°, sin75°= a) 2b/√3a b) a/2b c) √3a/2b d) 2a/√3b 82. Each interior angle of a regular octagon in radians is a) π/4 b) 3π/4 c) 2π/3 d) π/3 83. D and E are two points on the sides AC and BC respectively of ΔABC such that DE=18cm, CE=5cm and <DEC=90°. If tan<ABC=3.5, then AC:CD= a) BC:2CE b) 2CE:BC c) 2BC:CE d) CE:2BC 84. D is a point on the side BC of a triangle ABC such that AD_|_BC. E is a point on AD for which AE:ED=5:1. If angle BAD=30° and tan<ACB= 6 tan<DBE, then <ACB= a) 30° b) 45° c) 60° d) 15° 85. If sinθ+cosθ = √2 cosθ, then the value of (cosθ-sinθ) is a) √3 cosθ b) √3 sinθ c) √2 cosθ d) √2 sinθ 86. In a right angled triangle, the product of two sides is equal to half of the square of the third side, i.e., hypotenuse. One of the acute angles must be a) 60° b) 30° c) 45° d) 15° 87. If two concentric circles are of radii 5 cm and 3 cm, then the length of the chord of the larger circle which touches the smaller circle is a) 6 cm b) 7 cm c) 10 cm d) 8 cm 88. Inside a square ABCD, ΔBEC is an equilateral triangle. If CE and BD intersect at O, then angle BOC is equal to a) 60° b) 75° c) 90° d) 120° 89. A point D is taken from the side BC of a right angled triangle ABC, where AB is hypotenuse. Then a) AB² + CD²= BC²+AD² b) CD²+BD²=2AD² c) AB²+AC²=2AD² d) AB²=AD²+BD² 90. SLet C be a point on a straight line AB. Circles are drawn with diameters AC and AB. Let P be any point on the circumference of the circle with diameter AB. If AP meets the other circle at Q, then a) QC||PB b) QC is ever parallel to PB c) QC=1/2 PB d) QC||PB and QC=1/2 PB 91. sinA/(1+cosA) + sinA/(1-cosA) is (0°<A<90°) a) 2 cosecA b) 2 secA c) 2 sinA d) 2 cosA 92. If r sinθ=1, r cosθ=√3, then the value of (√3 tanθ+1) is a) √3 b) 1/√3 c) 1 d) 2 93. In a frequency distribution, ogives are graphical representation of a) frequency b) relative frequency c) cumulative frequency d) raw data 94. If x sin 45° = y cosec 30°, then x4/y4 is equal to a) 43 b) 63 c) 2 3 d) 8 3 95. The angle of elevation of tower from a distance 50 m from its foot is 30°. The height of the tower is a) 50√3 b) 50/√3 c) 75√3 d) 75/√3 96. ABCD is a rectangle where the ratio of the lengths of AB and BC is 3:2. If P is the mid point of AB, then the value of sin <CPB is a) 3/5 b) 2/5 c) 3/4 d) 4/5 Direction : The annual agricultural production (in tonnes) of an Indian state is given in the pie chart. The total production is 9000 tonnes. Read the pie chart and answer question no. 97. (in tonnes) 97. What is the annual producation of wheat ? a) 2750 tonnes b) 3000 tonnes c) 3540 tonnes d) 3500 tonnes 98. The average Kharif production of the given years is Producation of pulses in Rabi and Kharif season (in million tonnes) a) 4 million tonnes b) 5 million tonnes c) 4.5 million tonnes d) 5.5 million tonnes Direction: Study the histogram of weight distribution of different men and answer question no. 99 99. Average number of men per interval who participated in this survey is a) 200 b) 180 c) 214 d) 194 100. Given is a line graph showing the number of accidents in a city during the first 6 months of 1999. The decrease % of accidents from may to June is a) 15 and 3/8% b) 15 and 1/8% c) 15 and 5/8% d) 15 and 7/8% FOR VISUALLY HANDICAPPED CANDIDATES ONLY 97. If the salary of a worker is first decreased by 15% and then increased by 5%, then the percentage effect on his salary is a) decrease of 10% b) increase of 10% c) decrease of 10.75% d) increase of 10.75% 98. The average of four consecutive even numbers is 27. Find the largest of these numbers. a) 24 b) 26 c) 30 d) 28 99. A man goes from A to B with a speed of 6km/hr and comes back from B to A at 3km/hr. His average speed, in km/hr, is a) 4.5 b) 4 c) 3.5 d) 3 100. If two typists can type two pages in five minutes, how many typists are needed to type 20 pages in 10 minutes? a) 15 b)12 c) 10 d) 9 To get the answer key select the Link below: |
|
| Answer Key here. |
© Suman Biswas B.Tech (I.T) And Barnali Biswas M.A,B.Ed
No comments:
Post a Comment