APPoliceSIMains2019ArithmeticandReasoning Related Question Answers

151. Is the slope of the straight line equal to $$\frac{3}{5}$$ ? I. The straight line is passing through the point (3,5) II. The straight line perpendicular to 5x - 3y + 4 = 0





152. In each of the questions, a question is followed by two statements I and II. Give your answerWhat is the sum of the first 21 terms of the AP? I. The common difference of the A.P. is 3 II. The $$11^{th}$$ term of the A.P. is 31.





153. In each of the questions, a question is followed by two statements I and II. Give your answerIs 10, a factor of n + 5 ? I. n is odd and divisible by 9 II. n is even and divisible by 5





154. In each of the questions, a question is followed by two statements I and II. Give your answerIs the positive integer m odd? I. $$m^2 + 2m$$ is even II. $$m^2 + m$$ is even





155. What is the value of $$\cos \theta$$? I. $$\sec \theta + \tan \theta$$ = 5 II. $$1 + \sin \theta = \frac{25}{13}$$





156. If the A.M. of 4, 20, 40, x is m, then what is the value of m? I. $$\frac{m}{x} - 5$$ = 8 II. x is less than m





157. In each of the questions, a question is followed by two statements I and II. Give your answerWhat is the volume of the sphere? I. The surface area of the sphere is equal to area of the circle with radius 5 cm. II. The radius of the sphere is equal to the perimeter of a square.





158. What is the range of y? I. $$13 \leq x + y \leq 19$$ II. $$4 \geq x - y \geq -5$$





159. In each of the questions, a question is followed by two statements I and II. Give your answerWhat is the rate of compound imterest? I. Principal is Rs. 1200 II. Amount is Rs. 1323





160. For the Assertion (A) and Reason (R) the correct alternative from the following(A) : The sum 1 + 3 + 5 + .... + 21 = 100 (R) : The sum of first $$n$$ odd positive integers is $$n^2$$





161. For the Assertion (A) and Reason (R) the correct alternative from the following(A) : If the perimeter of a rectangle is 12 meters, then its maximum area is 9 $$m^2$$. (R) : Geometric mean of two positive numbers is less than or equal to their Arithmetic mean





162. (A):  If D, E and F respectively represent orthocentre, centroid and circumcentre of a triangle $$\triangle ABC$$, then Area of $$\triangle DEF = \frac{1}{4}$$ (Area of $$\triangle ABC$$) (R) : In any triangle, orthocentre, centroid and circumcentre are collinear:





163. For the Assertion (A) and Reason (R) the correct alternative from the following(A) : The sum of all internal angles in a pentagon is 540° (R) : A pentagon has 5 sides





164. (A): The area of an equilateral triangle of side 5 cm is $$\frac{25}{4}\sqrt{3} cm^2$$(R): Sum of the angles in the triangle is 180°





165. (A): $$1^2 + 2^2 + 3^2 + ...... +49^2$$ = 40425(R): Sum of the squares of the first n natural numbers is $$\frac{n(n + 1)(n + 2)}{6}$$





166. Mr. X starts from his office and goes 5 km towards East, then he turns left and moves 4 km again turning left and reaches his home after walking 8 km. Then the shortest distance between his home and office, is (in kilometers)





167. When the time is 1.15 P.m the minutes hand in the clock points towards North, then at 830 a.m. on the next day,the direction of minutes hand shows is :





168. A is to the north of B, C is to the east of B, then the direction of A with respect to C is





169. The code for the word 'PRINCE' is





170. The word which is coded as KISJ is





171. The letter 'X' is coded as





172. The letter that is coded as 'L' is





173. The word BOND is coded as





174. If the word LINE is coded as QMQG then, in the same code, the word FORT is coded as





175. If the word BRING is coded as 50 and STATE is coded as 65 then in the same code, the word SWORD is coded as





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