76. The marked price of a watch was Rs.720. A man bought the same for Rs. 550.80 after getting two successive discounts, the first being 10%. The second discount rate is
77. A tap can empty a tank in 30 minutes. A second tap can empty it in 45 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank ?
78. The perimeter of one face of a cube is 20 cm. Its volume will be
79. If the area of a circle is A, radius of the circle is r and circumference of it is C, then
80. The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crew, who weighs 42 kg is replaced by a new man. Find the weight of the new man (in kg).
81. What is the Arithmetic mean of the first ‘n’ natural numbers ?
82. A shopkeeper bought 30 kg of rice at the rate of Rs. 70 per kg and 20 kg of rice at the rate of Rs. 70.75 per kg. If he mixed the two brands of rice and sold the mixture at Rs. 80.50 per kg, his gain is
83. Allowing 20% and 15% successive discounts, the selling price of an article becomes Rs. 3,060; then the marked price will be
84. Eighteen years ago, the ratio of A’s age to B’s age was 8:13 Their present ratios are 5 :7 What is the present age of A ?
85. 729 ml of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7:3 ?
86. In certain years a sum of money is doubled to itself at 6 1/4 % simple interest per annum, then the required time will be
87. The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is
88. $$\frac{1}{\sqrt{7}-\sqrt{6}}-\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{5}-2}-\frac{1}{\sqrt{8}-\sqrt{7}}+\frac{1}{3-\sqrt{8}}$$ is
89. The population of a town increases by 5% every year. If the present population is 9261, the population 3 years ago was
90. A farmer travelled a distance of 61 km in 9 hrs. He travelled partly on foot at the rate of 4 km/hr and partly on bicycle at the rate of 9 km/hr. The distance travelled on foot is
91. Walking at the rate of 4 kmph a man covers certain distance in 2 hrs 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in how many minutes ?
92. If x = 332, y = 332, z = 332, then the value of $$x^3 + y^3 + z^3 - 3xyz$$ is
93. If $$2+x\sqrt{3}$$=$$\frac{1}{2+\sqrt{3}}$$ then the simplest value of x is
94. If $$\frac{m-a^2}{b^2+c^2}+\frac{m-b^2}{c^2+a^2}+\frac{m-c^2}{a^2+b^2}=3$$ then the value of m is
95. The measure of an angle whose supplement is three times as large as its complement, is
96. If m = - 4, n = - 2, then the value of $$m^3 - 3m^2 + 3m + 3n + 3n^2 + n^3$$ is
97. 2x- ky + 7 = 0 and 6x- 12y+ 15 = 0 has no solution for
98. Choose the incorrect relation(s) from the following:
(i) $$\sqrt{6}+\sqrt{2}=\sqrt{5}+\sqrt{3}$$
(ii) $$\sqrt{6}+\sqrt{2}\sqrt{5}+\sqrt{3}$$
99. If $$x cosθ - sinθ = 1,$$ then $$x^{2} - (1 +x^{2}) sinθ$$ equals
100. A 10 metre long ladder is placed against a wall. It is inclined at an angle of 30° to the ground. The distance (in m) of the foot of the ladder from the wall is (Given √3 = 1.732)
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