SSCCGL2014Tier127Aprilshift8 Related Question Answers

126. $$55^{3} + 17^{3} - 72^{3}$$ + 201960 is equal to

127. If 2 sin θ cos θ = 1, then the value of tan θ + cot θ is

128. A sphere and a hemisphere have the same radius. Then the ratio of their respective total surface areas is

129. Find the value of $$\sqrt{(x^2+y^2+2)(x+y-32)}\div \sqrt{xy^3 2^2}$$ when $$x=+1,y=-3,z=-1$$

130. The ratio of the ages of two persons is 4 : 7 and-the age of one of them is greater than that of the otter by 30 years. The sum of their ages (in years) is

131. The value of $$\theta$$, which satisfies the equation $$\surd3 tan \theta$$ + 3 = 3 secθ, 0° ≤ θ < 90° is

132. A right pyramid 6 m height has a square base of which the diagonal is $$\sqrt{1152} m$$. Volume of the pyramid is

133. A train running at the speed of 84 km/hr passes a man walking in opposite direction at the speed of 6 km/hr in 4 seconds. What is the length of train (in metre) ?

134. If $$2^{x-1} + 2^{x+1} = 320$$, then the value of x is

135. Among the angles 30°, 36°, 45°, 50° one angle cannot be an exterior angle of a regular polygon. The angle is

136. If sinθ = 0.7, then cos θ, 0 ≤ θ < 90°, is

137. If a = 4011 and b = 3989 then value of ab = ?

138. The value of $$sin^{2} 65^{\circ} + sin^{2} 25^{\circ} + cos^{2} 35^{\circ} + cos^{2} 55^{\circ}$$ is

139. In the following number series a wrong number is given. Find out that number. 8, 18, 40, 86, 178, 370, 752

140. If the ratio of volumes of two cones is 2 : 3 and the ratio of the radii of their bases is 1 : 2, then the ratio of their heights will be

141. 3 years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is same today. The present age of the baby is

142. The three equal circles touch each other externally. If the centres of these circles be A, B, C then ABC is

143. The adjoining pie-chart shows the proportional expenditure on various items of Amar’s family. If monthly income of Amar is 48,000, answer the questions. Had his income be 40,000 how much would be spent on food ?

144. If 10% of miscellaneous expenditure is earmarked for clothing, how much amount is spent on clothes ?

145. How much does he save per month ?

146. How much does he spend more on rent than on transport and education taken together ?

147. Following histogram depicts the range of heights of students in a class of 60 students. Study the same and answer the questions. The number of students having height more than 150 cms is

148. The number of students with their heights between 130 to 150 cms is

149. Group which contains maximum number of students is

150. 11 : 132 : : ?

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