SSCCPO3July2017AfternoonShift Related Question Answers

126. A cylindrical well of height 40 metres and radius 7 metres is dug in a field 56 metres long and 11 metres wide. The earth taken out is spread evenly on the field. What is the increase in the level of the field?





127. A cuboid of sides 5 cm, 10 cm and 20 cm are melted to form a new cube. What is the ratio between the total surface area of the cuboid and that of the cube?





128. What is the value of $$[\frac{1}{1-x^{(p-q)}}+\frac{1}{1-x^{(q-p)}}]\ $$?





129. If $$\ x^{2}\ - 3x + 1 = 0$$, then what is the value of $$x + \frac{1}{x} $$?





130. If $$a + b + c = - 11$$, then what is the value of $$\ (a + 4)^{3}+(b+ 5)^{3}+(c + 2)^{3}-3(a + 4)(b + 5)(c + 2)\ $$?





131. If $$\ \sqrt{7x+12}+\sqrt{7x-12}=3+\sqrt{33}\ $$, then what is the value of x?





132. If $$x + \frac{1}{x} = 3\sqrt{2}$$, then what is the value of $$x^{5}+\frac{1}{x^5}$$





133. In ΔPQR, a line parallel to side QR cuts the side PQ and PR at points M and N respectively and point M divide PQ in the ratio of 1 : 2. If area of ΔPQR is 360 cm2, then what is the area (in cmb: of quadrilateral MNRQ?





134. ABC is an isosceles triangle such that AB = AC = 30 cm and BC = 48 cm. AD is a median to base BC. What is the length (in cm) of AD?





135. In ΔABC, ∠C = 54°, the perpendicular bisector of AB at D meets BC at E. If ∠EAC = 42°, then what is the value (in degrees) of ∠ABC?





136. In an isosceles triangle DEF, ∠D = 130°. If I is the incentre of the triangle, then what is the value (in degrees) of ∠EIF?





137. In the following figure, O is the centre of the circle and $$\ \angle$$PRQ = $$\ 50^\circ$$. What is the value (in degrees) of $$\ \angle$$PTQ?





138. If 2cos$$^{2}$$ θ - 1 = 0 and θ is acute, then what is the value of (cot$$^{2}$$ θ - tan$$^{2}$$ θ)?





139. If $$\ \frac{1}{cos\theta+sec\theta}=\frac{1}{2}\ $$, then what is the value of $$\ cos^{100}\ \theta+sec^{100}\ \theta\ $$?





140. What is the simplified value of 1 + cot A cot $$(\frac{A}{2})$$?





141. If tan$$\ (\frac{\theta}{2})tan(\frac{2\theta}{5})\ $$= 1, then what is the value (in degrees) of $$\theta$$?





142. What is the simplified value of$$\ \frac{3}{cosec^{2}\theta}+\frac{5}{1+tan^{2}\theta}-2cos^{2}\theta$$?





143. The given pie chart shows the expenditure (in degrees) incurred in making a book.If the total expenditure is Rs 60000, then what is the expenditure (in Rs) on the Printing?
 





144. What is the central angle (in degrees) of the sector made by the expenditure on Paper?





145. The expenditure on Binding is how much percent more than the expenditure on Paper?





146. If expenditure on Paper is Rs 20000, then what is the expenditure (in Rs) on Binding?





147. In Others there are only two types of expenditures viz. Marketing and Distribution in ratio 3 : 2 respectively. What will be the central angle (in degrees) made by the sector of expenditure on Marketing?





148. Not only her husband (a:/ but even her father (b:/ also find her selfish. (c:/ No Error (d:





149. The West Indies team had (a:/ not won any match (b:/ last year. (c:/ No Error (d:





150. If you inform me of Kanika's (a:/ arrival time I shall go to (b:/ attend her at the airport. (c:/ No Error (d:





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