76. If two successive discounts of 50% and 10% are offered, then what is the net discount (in %)?
77. Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?
78. The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increase by 25%. What is the age (in years) of the servant?
79. For an article the profit is 190% of the cost price. If the cost price increase by 10% but the selling price remains same, then profit is what percentage of selling price (approximately)?
80. A, B and C are three students. A got 18% more marks than B and 12% less than C. If B got 220 marks, then how much marks C has got?
81. Two people A and B are at a distance of 260 km from each other at 9:00 a.m. A immediately starts moving towards B at a speed of 25 km/h and at 11:00 a.m. B starts moving towards A at a speed of 10 km/hr. At what time (in p.m.) will they meet each other?
82. If Rs 2500 becomes to Rs 2970.25 in 2 years at compound interest compounded annually, then what is the yearly rate of interest (in %)?
83. If $$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0$$ and x + y + z = 9, then what is the value of $$x^3 + y^3 + z^3 - 3xyz$$ ?
84. If $$x^{4}+(\frac{1}{x^{4}})=34$$, then what is the value of $$x^{3}-(\frac{1}{x^{3}})$$ ?
85. If x = 1 - y and $$x^2 = 2 - y^2$$, then what is the value of xy?
86. If $$x+[\frac{1}{(x+7)}]=0$$, then what is the value of $$x-[\frac{1}{(x+7)}]$$ ?
87. In the given figure, DEIIBC and AD : DB = 5 : 3, then what is the value of (DE/BC)?
88. PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR?
89. Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area $$(in cm^2)$$ of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?
90. In the given figure. PR and ST are perpendicular to tangent QR. PQ passes through centre 0 of the circle whose diameter is 10 cm. If PR = 9 cm. then what is the length (in cm) of ST?
91. What is the simplified value of (sec A + cos A)(sec A - cos A)?
92. What is the simplified value of $$(\frac{cosecA}{cotA+tanA})^2$$ ?
93. What is the simplified value of $$\frac{tanA}{1-cotA}+\frac{cotA}{1-tanA}-\frac{2}{sin2A}$$ ?
94.
The table given below shows the percentage of literate people in 6 cities. This table also shows the ratio of males to females among literate people.
% of literate people of any city = (Literate people of the city / Total population of the city) x 100 If the total population of City 4 is 600000, then how many literate people are there in city 4?
95. Total population of City 6 is 200000 and the total population of City 2 is 220000. What is the respective ratio of literate males of City 2 and literate females of City 6?
96. If there are 259210 literate females in City 5, then what is the total population of City 5?
97. The population of the 6 cities are 250000, 200000, 220000, 300000, 150000 and 400000 respectively. Which is the correct order of the number of literate people in these cities?
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% of literate people of any city = (Literate people of the city / Total population of the city) x 100 If the total population of City 4 is 600000, then how many literate people are there in city 4?
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