APPoliceSIMains2019ArithmeticandReasoning Related Question Answers
76. From a circle of radius 12cm centered at O, a sector OAB of are length $$8\pi$$ cm is cut and from it a cone is formed by joining OA and OB. If the volume of the cone is V cubic cm and its lateral surface area is S square cm, then V:S =
77. A solid sphere of radius $$r$$ is melted and with that material a solid cone and twenty two identical solid cubes were made. If the height of cone and edge of each cube are each equal 9 to half the radius of the sphere, then the ratio of the radius of the cone to its height is
78. What is the area (in sq. cms) of the shaded portion of the following diagram in which each side of the triangle is 14 cms and its vertices being the centres of three mutually touching circles?
79. Let $$\triangle$$ be the area of the circumcircle of a right angled triangle ABC with $$\angle B$$ = 90°. Let $$\triangle_1 and \triangle_2$$ be areas of the two circle with diameters BC and BA respectively. Then
80. From each of the corners of a rectangular sheet of dimensions $$36cm\times24cm$$, a small square of dimensions $$4cm\times4cm$$ is removed. If the edges on the four sides are folded and a box is formed then the volume of the box so formed (in cm3)
81. In a square of side 8 cm, 5 identical circles are placed as shown in the figure. Then the radius (in cms) of each of the circle is 
82. Two identical circles intersect such that their centers and their points of intersection, form a square of side 4cm. Then the area (in sq.cms) of the portion that is common to the two circles is
84. An equilateral triangular plate is completely cut into n number of identical small equilateral triangular plates. Which one of the following can be a possible value for n
86. A train started at 9AM from a station A with a speed of 72 km/hr. Another train after tvvo hours started from the station B towards A with a speed of 90 km/ph. The two trains are expected to cross each other at 1.30 PM. At 12 noon because of the signals both the trains reduced their speeds by the same quantity and they crossed each other at 4.30 PM. The speed of the train, after 12 noon, that started from the station A, is
87. A left his house for school t min late from normal time and travelled with $$\frac{4}{3}$$ of his usual speed and reached the school in t minutes early. Next day he left home, t minutes early than the previous day and travelled with $$\frac{8}{11}$$ of his usual speed. He reached his school in
88. Two points A and B lie along a line at a distance of 120km apart. P and Q start at the same time from A and B with speeds 40km/h and 60km/h respectively. They travel towards each other and after their meeting for the first time, they then go in reverse directions and also interchange their speeds. These speeds are continued in their further journey. After reaching their respective starting points, they reverse their directions of travel and proceed towards each other again. The time taken by them to meet each other 2nd time is
89. A person rows a distance of 12 kms in down stream and returns to the starting point. The difference between the times taken to travel in down stream and that of upstream is 6 hours. If he doubles his speed throughout the above trip, then the difference between the times taken to cover in down stream and upstream is 1 hour. Then the speed of the current in km per hour is
90. Certain amount is divided into 3 parts such that those parts yields the equal interest after 1, 2 and 3 years respectively at 4% simple interest per annum. Then the ratio between the three parts respectively is
91. A man borrows Rs. 5000 at the rate of 10% compound interest per annurn• At the end of each year he pays back Rs. 1500 for the first 2 years. The am ount he should pay at the end of 3rd year to clear the loan (in Rs.) is
92. The equal annual installment which clears the debt of Rs.7620 due in 3 years at $$16\frac{2}{3}$$% per annum compounded is (in Rs.)
93. A tree is growing in height at the rate of 10% per annum. The present height of the tree is 1815 cm. The height of the tree 3 years back was (approximately) in cms
94. Two partners invested Rs.1,25,000 and Rs.85,000 respectively in a business. They agreed to share 60% of the profit equally and the remaining profit as interest on their respective capitals. If one partner gets Rs.300 more than the other partner, the profit on the business is (in Rs)
95. Let A and B enter into a partnership with capitals in the ratio 5:6 and at the end of 8 months A withdrew from the business. If they shared the profits in the ratio 5:9, the number of months B's capital remained in the business is
96. A, B and C enter into a partnership by pooling the capital. A advances one-third of the capital for one third of the time. B advances half of the capital for half of the time. C advances the remaining part of the capital for whole the period. The ratio in which they divide the profit obtained in the business is
97. A, B, C started a business by investing Rs.6500, Rs.8400 and 10,000 respectively. As working partner A takes 5% of the profit as his salary. A withdraws his capital after 6 months, B after 5 months and C after 3 months from the begining. If the profit earned was Rs.7400, then the total amount received by A is (in Rs.)
98. If the difference between the simple interest and compound interest for two years on a certain sum at the rate of 10% per annum when compounded half yearly is Rs. 124.05 then the sum is (in Rs.)
99. If an amount doubles in 5 years at compound interest, then the number of years required to make it eight times at the same rate of compound interest is
100. A person invested his money in the three schemes P, Q and R. The am_ ount invested it scheme R was 150% of the amount invested in a scheme P and 240% of the amount invest; in scheme Q. The rate of interest he gets from schemes P, Q and R are respectively ioZ 12% and 15% per annum. If the total interest accumulated is Rs.3200 for an year, investment in scheme Q is (in Rs.)
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