151. Among the equations x + 2y + 9 =0 ; 5x-4=0 ; 2y - 13 = 0; 2x- 3y = 0, the equation of the straight line passing through origin is
152. If the three angles of a triangle are : $$(x+15^{\circ})[\frac{6x}{5}+6^{\circ}]$$ and $$[\frac{2x}{3}+30^{\circ}]$$ then the triangle is
153. A kite is flying at the height of 75m from the ground. The string makes an angle θ (where cotθ = 8/15) with the level ground. Assuming that there is no slack in the string the length of the string is equal to :
154. In an examination, a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is
155. If D, E and F are the mid points of BC, CA and AB respectively of the AABC then the ratio of area of the parallelogram DEFB and area of the trapezium CAFD is :
156. 4 men and 6 women complete a work in 8 days. 2 men and 9 women also complete in 8 days. The number of days in which 18 women complete the work is :
157. If x = 2 then the value of $$x^{3}+27x^{2}+243x+631$$ is
158. If the volume of a sphere is numerically equal to its surface area then its diameter is
159. The average marks obtained by a student in 6 subjects is 88. On subsequent verification it was found that the marks obtained by him in a subject was wrongly copied as 86 instead of 68. The correct average of the marks obtained by him is
160.
Given here is a multiple bar diagram of the scores of four players in two innings. Study the diagram and answer the questions:
The average runs of two innings of the player who scored highest in average are :
161. The average runs in two innings of the player who has scored minimum in the second innings are :
162. The total scores in the first innings contributed by the four players is :
163. The average score in second innings contributed by the four players is :
164. If $$\frac{3}{4}$$ of a number is 7 more then $$\frac{1}{6}$$ of the number, then $$\frac{5}{3}$$ of the number is
165. A’s 2 days’ work is equal to B’s 3 days’ work. If A can complete the work in 8 days then to complete the work B will take
166. Internal bisectors of ∠Q and ∠R of ΔPQR intersect at O. If ∠ROQ = 96° then the value of ∠RPQ is
167. If $$x=\frac{1}{\sqrt{2}+1}$$ then $$(x+1)$$ equals to
168. If the number of vertices, edges and faces of a rectangualr parallelopiped are denoted by v, e and f respectively, the value of (v - e + f) is
169. The area of the triangle formed by the graphs of the equations x= 0, 2x+ 3y= 6 and x+ y= 3 is :
170. If 5x + 9y = 5 and $$125x^{3}$$ + $$729y^{3}$$ = 120 then the value of the product of x and y is
171. What must be added to each term of the ratio 2 : 5 so that it may equal to 5 : 6 ?
172. The value of $$sin^{2}$$ 22° + $$sin^{2}$$ 68° + $$cot^{2}$$ 30° is
173. The minimum value of $$2sin^{2}$$ θ + $$3cos^{2}$$ θ is
174. If $$\frac{x^{24}+1}{x^{12}}=7$$ then the value of $$\frac{x^{72}+1}{x^{36}}$$ is
175. 5 persons will live in a tent. If each person requires 16m2 of floor area and 100m3 space for air then the height of the cone of smallest size to accommodate these persons would be
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