101. Two men A and B started a job in which A was thrice as good as B and therefore took 60 days less than B to finish the job. How many days will they take to finish the job, if they take to finish the job, if they start working together?
102. A rectangle garden is 100 m $$\times$$ 80 m. There is a path along the garden and just outside it. Width of the path is 10m. The area of the path is
103. A dealer offered a machine for sale for Rs. 27,500 but even if he had charge 10% less, the would have made a profit of 10%. The actual cost of the machine is
104. An employer reduces the number of employees in the ratio 8 : 5 and increases their wages in the ratio 7 : 9. As a result, the overall wages bill is
105. The average age of a jury of 5 is 40. If a member aged 35 resigns and man aged 25 becomes a member, then the average age of the new jury is
106. With average speed of 40 km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey is
107. A man makes a profit of 20% on the sale by selling 20 articles for Rs. 1. The number of articles he bought by Rs. 1 is
108. The number of seats in an auditorium is increased by 25%. The price of a ticket is also increased by 12%. Then the increase in revenue collection will be
109. A ship is moving at a speed of 30 km/hr. To know the depth of the ocean beneath it, it sends a radio wave which travels at a speed 200 m/s. The ship receives the signal after it has moved 500 m. The depth of the ocean is
110. A person takes a loan of Rs. 10,0000 partly from a bank at 8% p.a. and remaining from another bank at 10% p.a. He pays a total interest of Rs. 950 per annum. Amount of loan taken from the first bank (in Rs.) is
111. If $$a^2+\frac{1}{a^2}$$ = 98(a > 0) then the value of $$a^3 + \frac{1}{a^3}$$ will be
112. If $$x = 1 + \sqrt{2} + \sqrt{3}$$ , then the value of $$(2x^4 - 8x^3 - 5x^2 + 26x- 28)$$ is __?
113. If the distance between two point (0, -5) and (x, 0) is 13 unit, then x =
114. If 4x = 18, then the value of $$(\frac{x^4 + \frac{1}{x^2}}{x^2 - 3x + 1})$$
115. If $$x + \frac{1}{x} =5$$, then the value of $$\frac{x^4 + \frac{1}{x^2}}{x^2 - 3x +1}$$ is
116. If $$x = 2 + \sqrt{3}, y = 2 - \sqrt{3}$$, then the valuer of $$\frac{x^2 + y^2}{x^3 + y^3}$$ is
117. If $$a^2+b^2+c^2=2(a-2b-c-3)$$ then the value of a+b+c is
118. If $$2x - \frac{1}{2x} = 6$$, then the value of $$x^2 + \frac{1}{16x^2}$$
119. $$5a + \frac{1}{3a}$$ = 5, the value of 9a2 +$$\frac{1}{25a^2}$$ is
120. The area of the triangle formed by the line 5x + 7y = 35, 4x + 3y = 12 and x-axis is
121. If an obtuse-angled triangle ABC, is the obtuse angle and O is the orthocenter. If = 54$$^{\circ}$$ , then is
122. If the ratio of areas of two equilateral triangles is 9 : 16, then the ratio of their corresponding sides is
123. Let BE and CF be the two medians of a $$\triangle$$ ABC and G be their intersection. Also let EF cut AG at O. Then AO : OG is
124. If S is the circumcentre of and = 50$$^{\circ}$$ , then the value of is
125. AC and BC are two equal cords of a circle. BA is produced to any point P and CP, when joined cuts the circle at T. Then
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