101. The list price of a shirt is 440 and a customer pays 396 for it. The discount rate is
102. Nisha bought a number of oranges at 2 for a rupee and an equal number at 3 for a rupee. To make a profit of 20% she should sell a dozen for
103. If A’s salary is 50% more than that of B, then B’s salary is less than A’s by
104. A and B are 20 km apart. A can walk at an average speed of 4 km/hour and B at 6 km/ hr. If they start walking towards each other at 7 a.m., when they will meet ?
105. A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps. 5 steps of the policeman is equal to 7 steps of the thief. The ratio of the speeds of the policeman and the thief is
106. In a Mathematics examination the numbers scored by 5 candidates are 5 successive odd integers. If their total marks is 185, the highest score is
107. In two successive years, 80 and 60 students of a school appeared at the final examination of which 60% and 80% passed respectively. The average rate of students passed (in percent) is
108. What is the value of $$\frac{(941+149)^{2}+(941-149)^{2}}{(941\times941+149\times149)}?$$
109. If $$x+\frac{1}{x}=5$$, then $$x^{6}+\frac{1}{x^{6}}$$ is
110. $$\sqrt[5]{5}\times5^{3}\div5^{\frac{3}{2}}=5^{a+2}$$ then the value of a is
111. If $$ x^{2}-3x+1=0$$ then the value of $$\frac{x^{6}+x^{4}+x^{2}+1}{x^3}$$ will be
112. A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is
113. The compound interest on a certain sum of money for 2 years at 5% per annum is 410. The simple interest on the same sum at the same rate and for the same time is
114. The graphs of x = a and y = b intersect at
115. ‘O’ is the centre of the circle, AB is a chord of the circle, OM┴ AB. If AB = 20 cm, OM = 2√11 cm, then radius of the circle is
116. If the angles of a triangle ABC are in the ratio 2 : 3 : 1, then the angles ∟A, ∟B and ∟C are
117. In ∆ABC, ∟ABC = 70°, ∟BCA = 40°. O is the point of intersection of the perpendicular bisectors of the sides, then the angle LBOC is
118. If the measures of the sides of triangle are $$(x ^{2} - 1), (x^{2} + 1)$$ and 2x cm, then the triangle would be
119. If $$2^{x}=4^{y}=8^{z}$$ and xyz = 288, the value of $$\frac{1}{2x}$$ +$$ \frac{1}{4y} + \frac{1}{8z}$$ is
120. If $$x^{4}+\frac{1}{x^4}=119$$ and $$x
121. The value of $$(3+2\sqrt{2})^{-3}+(3-2\sqrt{2})^{-3}$$ is
122. The value of $$sin^{2} 30^{\circ} cos^{2} 45^{\circ}$$ + $$5tan^{2} 30^{\circ}$$ + $$\frac{3}{2} sin^{2} 90^{\circ}$$ - $$3 cos^{2} 90^{\circ}$$ is
123. If $$cos^{2} θ - sin^{2} θ = \frac{1}{3}$$ , where 0 ≤ θ ≤ π/2 then the value of $$cos^{4} θ - sin^{4} θ$$ is
124. If tanθ = 1/√11 0 < θ < π/2, then the value of $$\frac{cosec^{2}\theta-\sec^2\theta}{cosec^2\theta+\sec^2\theta}$$
125. If angle bisector of a triangle bisect the opposite side, then what type of triangle is it ?
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