APPoliceSIMains2019ArithmeticandReasoning Related Question Answers

1. In each of the questions given below which one of the five answer figures on the right should come after the problem figures on the left, if the sequence were continued ?





2. If x, y, z are three positive numbers such that (A - x): (A - y): (A - z) = 1: 7: 4 and 2A = x+y+z, then x:y:z=





3. If x ≠ y ≠ z ≠ 0 , $$a^x = b^y = c^z$$ and $$\frac{a}{b} = \frac{b}{c}$$, then $$\frac{y - x}{z - y}$$ =





4. Two different discounts x% and y% are allowed on two items having same cost price and marked price. If $$P_1$$% and $$P_2$$% are respectively the profits on them, x - y =20 and $$P_2 - P_1$$ = 32, then the ratio of their cost price to their marked price is





5. If 0 < a < b then, for all x > 0, $$\frac{a + x}{b + x}$$ > 





6. Four students A, B, C and D are running around a circular playground in a college and they take 1. 5 min, 25min, 35min and 20min respectively to complete one round. If a prize money of Rs. K is divided in the ratio of their speeds, then the student who receives_maximum share is





7. The ratio among the following that will have maximum change in its value when 10 is added to both the antecedent and consequent of that ratio, is





8. Distinct number of men, women and children have visited a park in a particular day. The number ofwomen visitors is 7 and the number of children who visited the park is maximum among all the visitors. If the ratio between the number of men and women is the same as the ratio between the number of women and children, then the total number of visitors to the park is





9. If a person covers the same distance by walking, by cycling and by running with speeds in the ratio 1: 9: 3 respectively, then the ratio of the ratios of their times and speeds of the three modes of travel is





10. If the sum of the ratios equivalent to $$16\frac{2}{3}$$%, $$33\frac{1}{3}$$%, 5% and 25% is x% of 15, then x =





11. A student is asked to multiply a number K by 5. But he multiplies K by $$\frac{1}{5}$$ and gets x% error. Next time he multiplies K by $$\frac{1}{25}$$ and gets y% error. Then the percentage increase of y over x is 





12. If there is an increase of 25% and 4% successively in the sales of a car of brand X in two consecutive years, then the net increase in the sales after two years, is





13. A variable x is proportional to y. If 3 values $$x_1, x_2, x_3$$ of x are in the ratio 2:3:4 such that $$x_1 + x_2 + x_3$$ = 9 and $$x_1y_1+x_2y_2+x_3y_3$$ = 29 then the ratio of the increase percentages of $$x_1y_1$$, $$x_2y_2$$, $$x_3y_3$$ over $$x_1,x_2,x_3 $$respectively is





14. A fruit vendor has certain oranges with him. He sells each orange for Rs.5. Three customers A, B, C successively bought 25%, $$33\frac{1}{3}$$, 50% of the oranges that are left over with the vendor each time. Later a fourth customer D bought 4 oranges. If A and D together paid Rs.140/- to the vendor, then the percentage of oranges left with the vendor is





15. A, B, C and D are four students in a class. A's total score is 20% less than B's total score, C's total score is 25% more than A's total score, D's total score is 20% more than A's total score. If the least total score among the scores is 240, then the ratio of the scores of the four students in the decreasing order is





16. A merchant is selling goods by importing from abroad. He gets a discount of $$33\frac{1}{3}$$% on 3 the catalogue price, pays 20% import duty on the net cost of the goods and sells the goods for a profit of 25%. If the catalogue price of an article is Rs. 3,756, then its selling price (in Rs.) is





17. A dishonest dealer claims to sell his goods for the cost price. If he uses 20% less weight in weighing the goods, his gain % is:





18. If a person sold his watch for Rs.24 with a profit percentage numerically equal to its cost price, then the cost price of the watch is Rs.





19. A shopkeeper offers successive discounts of 20% and 25% on the marked price of an article and gets a profit of 20%. If he wants to make 40% profit, the percentage by which the marked price is to be increased is





20. A shopkeeper sells two types of articles A and B for the same price at Rs. 150/-. The cost prices of them are respectively Rs. 120/- and Rs. 200/-. On the first day he sells only one item of A and increases this number by 6 units each day. He sells 50 units of 13 on first day and decreases this number each day by 2 units. The number of days the shopkeeper incurs a net loss continuously is





21. The following table shows the different number of items a shopkeeper sold with different cost prices and different selling prices. Use this information to match the items of List A with the items of List B. The correct match for i, ii, iii is





22. The average score of 3 students A, B and C is 72. When D joins them the average score of all the four becomes 70. If another student E, whose score is 4 more than that of D replaces A then the average score of B, C, D and E becomes 68. Then the score of A





23. The first quality of juice costs Rs.15 per litre and the second quality of juice costs Rs.10 per litre. If the mixture of these two qualities is sold at the rate of Rs.14 per litre, then the ratio in which these two qualities of juices are to be mixed in order to get a profit of 20% is





24. The average of all the numbers which are the first ten multiples of each of the first ten natural numbers is





25. The ratio of copper to zinc in an alloy 'A' of 7kgs is 5:2. The ratio of the same metals in that order in another alloy 'B' of 7kgs is 3:4. If 28kg of alloy is made by mixing A and B in quantities x & y respectively so as to have the ratio of copper and zink in the ratio 1:1, then x : y is





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