76. A and B can do a job in 12 days, B and C in 15 days and C and A in 20 days. How long would A take to do that work ?
77. The difference of perimeter and diameter of a circle is X unit. The diameter of the circle is
78. A sphere of diameter 6 cm is dropped in a right circular cylindrical vessel partly filled with water. The diameter of the cylindrical vessel is 12 cm. If the sphere is just completely submerged in water, then the rise of water level in the cylindrical vessel is
79. A shopkeeper marks his goods 20% above his cost price and gives 15% discount on the marked price. His gain percent is
80. A shopkeeper earns a profit of 12% on selling a book at 10% discount on printed price. The ratio of the cost price to printed price of the book is
81. The liSt price of an article is 160 and a customer buys it for 122.40 after two successive discounts. If the first discount is 10%, then second discount is
82. In a school, 10% of number of girls is equal to 1/20 th of number of boys. Ratio between the number of boys to number of girls is
83. If a, b. c, d, e are five consecutive odd numbers, their average is
84. The average of 20 numbers is 15 and the average of first five is 12. The average of the rest is
85. A tradesman sold an article at a loss of 20%. If the selling price had been increased by 100, there would have been a gain of 5%. The cost price of the article (in Z.) was
86. The price of an article is first decreased by 20% and then increased by 30%. If the resulting price is 416, the original price of the article is
87. By walking at 3/4 of his usual speed, a man reaches his office 20 minutes later than usual. His usual time is
88. If the compound interest on a certain sum for two years at 12% per annum is 2,544, the simple interest on it at the same rate for 2 years will be
89. The total cost of 8 buckets and 5 mugs is 92 and the total cost of 5 buckets and 8 mugs is 77. Find the cost of 2 mugs and 3 buckets.
90. The straight line 2x + 3y = 12 passes through :
91. The sum of three altitudes of a triangle is
92. In ΔABC, ∠A + ∠B = 65°, ∠B + ∠C = 140°, then find LB.
93. The length of the tangent drawn to a circle of radius 4 cm from a point 5 cm away from the centre of the circle is
94. A cyclic quadrilateral ABCD is such that AB = BC, AD = DC, AC ⊥ BD, ∠CAD = θ. Then the angle ∠ABC =
95. The height of an equilateral triangle is 15 cm. The area of the triangle is
96. Two parallel chords of a circle, of diameter 20 cm lying on the opposite sides of the centre are of lengths 12 cm and 16 cm. The distance between the chords is
97. In ΔABC, DE || AC. D and E are two points on AB and CB respectively. If AB = 10 cm and AD = 4 cm, then BE : CE is
98. A, B and C are the three points on a circle such that the angles subtended by the chords AB and AC at the centre 0 are 90° and 110° respectively. LBAC is equal to
99. Evaluate : 3 cos 80° cosec 10° + 2 cos 59° cosec 31°
100. The eliminant of θ from x cosθ - y sin θ = 2 and x sin θ + y cos θ = 4 will give
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