101. Arranging the following in descending order, we get
$$\sqrt[3]{4},\sqrt{2},\sqrt[6]{3},\sqrt[4]{5}$$
102. The base of a right prism is a quadrilateral ABCD. Given that AB = 9 cm, BC = 14 cm, CD = 13 cm, DA = 12 cm and ΔDAB = 90°. If the volume of the prism be 2070 cm3, then the area of the lateral surface is
103. The volumes of a right circular cylinder and a sphere are equal. The radius of the cylinder and the diameter of the sphere are equal. The ratio of height and radius of the cylinder is
104. A wire of length 44 cm is first bent to form a circle and then rebent to form a square. The difference of the two enclosed areas is
105. A shopkeeper listed the price of goods at 30% above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of 15% and the remaining at 30% discount. His overall profit is
106. A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is
107. A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If the customer pays 3,402 as the price including the sales tax, then the marked price is
108. The milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C containing half milk and half water ?
109. Two numbers A and B are such that the sum of 5% of A and 4% of B is 2/3 rd of the sum of 6% of A and 8% of B. The ratio A : B is
110. The average marks obtained by 40 students of a class is 86. If the 5 highest marks are removed, the average reduces by one mark. The average marks of the top 5 students is
111. A student finds the average of 10, 2 - digit numbers. If the digits of one of the numbers is interchanged, the average increases by 3.6. The difference between the digits of the 2-digit numbers is
112. A trader buys goods at 20% discount on marked price. If he wants to make a profit of 25% after allowing a discount of 20%, by what percent should his marked price be greater than the original marked price ?
113. A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is
114. A car travels from P to Q at a constant speed. If its speed were increased by 10 km/h, it would have been taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/h. The distance between the two cities is
115. A train leaves a station A at 7 am and reaches another station B at 11 am. Another train leaves B at 8 am and reaches A at 11.30 am. The two trains cross one another at
116. A man gave 50% of his savings of 84,100 to his wife and divided the remaining sum among his two sons A and B of 15 and 13 years of age respectively. He divided it in such a way that each of his sons, when they attain the age of 18 years, would receive the same amount at 5% compound interest per annum. The share of B was
117. A fruit-seller buys some oranges and by selling 40% of them he realises the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit. The rest of the oranges being rotten are thrown away. The overall percentage of profit is
118. $$\frac{p}{a}+\frac{a}{b}+\frac{r}{c}=1$$ and $$\frac{a}{p}+\frac{b}{q}+\frac{c}{r}=0$$ where p,q,r and a,b,c are non-zero then the value of $$\frac{p^2}{a^2}+\frac{q^2}{b^2}+\frac{r^2}{c^2}$$ is
119. If x is a rational number and $$\frac{(x+1)^3-(x-1)^3}{(x+1)^2-(x-1)^2}=2$$ then the sum of numerator and denominator of x is
120. The area in sq. unit. of the triangle formed by the graphs ofx= 4, y= 3 and 3x+ 4y= 12 is
121. The equations 3x+ 4y = 10 -x+ 2y = 0 have the solution (a, b). The value of a + b is
122. If x = √5+ 2, then the value $$\frac{2x^2-3x-2}{3x^2-4x-3}$$ is equal to
123. If a= 2.234, b = 3.121 and c = -5.355, then the value of $$a^{3} +b^{3} + c^{3}$$ - 3 abc is
124. If $$x^{2} + y^{2} + 1 = 2x$$, then the value of $$x^{3} + y^{5}$$ is
125. If 3 (a^{2} + b^{2} + c^{2} ) = (a + b + c)^{2} , then the relation between a, b and c is
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