Quiz ( Quantitative Aptitude ) Time taken: 00:00:07 (HH:MM:SS) Optimal time: 143 min. Marks obtained:0/293 1. Rs.6100 was partly invested in Scheme A at 10% pa compound interest (compounded annually) for 2 years and partly in Scheme B at 10% pa simple interest for 4 years. Both the schemes earn equal interests. How much was invested in Scheme A? A) Rs.3750 B) Rs.4500 C) Rs.4000 D) Rs.3250 E) Rs.5000 Correct answer: C You have not attempted this question. Solution : 2. A) 16% B) 15% C) 22% D) 25% E) 20% Correct answer: D You have not attempted this question. Solution : 3. The present age of Bob is equal to Abby’s age 8 years ago. Four years hence, the ratio of Abby’s age to Bob’s age will be 5 : 4. What is Bob’s present age? A) 24 years B) 32 years C) 40 years D) 20 years E) 28 years Correct answer: E You have not attempted this question. Solution : 4. A started a business. After 4 months from the start of the business, B and C joined him. The ratio of the investments of A, B and C was 4 : 6 : 5. If A’s share in annual profit was Rs.250 more than that of C, what was the total annual profit earned? A) Rs.3740 B) Rs.3910 C) Rs.4250 D) Rs.4900 E) Rs.4760 Correct answer: C You have not attempted this question. Solution : Ratio of profit of share A : B : C = 4 × 12 : 6 × 8 : 5 × 8 = 48 : 48 : 40 = 6 : 6 : 5 Now, let the share of A be 6x, that of B be 6x and that of C be 5x respectively. Then, 6x – 5x = 250 or, x = 250 Total annual profit = 6x + 6x + 5x = 17x = 17 × 250 = Rs.4250 5. A person has to travel from point A to point B in a certain time. Travelling at a speed of 5 kmph he reaches 48 minutes late, and travelling at a speed of 8 kmph he reaches 15 minutes earlie. What is the distance between point A and B? A) 15 km B) 9 km C) 12 km D) 18 km E) 14 km Correct answer: E You have not attempted this question. Solution : 6. 28 men can complete a piece of work in 15 days and 15 women can complete the same piece of work in 24 days. What is the ratio of the amount of work done by 30 men in 1 day to the amount of work done by 18 women in 1 day? A) 21 : 50 B) 15 : 21 C) 7 : 3 D) 7 : 10 E) 10 : 7 Correct answer: E You have not attempted this question. Solution : 7. 18 litres of pure water was added to a vessel containing 80 litres of pure milk. 49 litres of the resultant mixture was then sold and some more quantity of pure milk and pure water was added to the vessel in the ratio of 2 :1. If the resultant ratio of milk to water in the vessel was 4 : 1, what was the quantity of pure milk added to the vessel? (in litres) A) 4 B) 8 C) 10 D) 12 E) 2 Correct answer: A You have not attempted this question. Solution : 8. A) Rs.1100 B) Rs.850 C) Rs.960 D) Rs.1200 E) Rs.1300 Correct answer: C You have not attempted this question. Solution : 9. The ratio of the curved surface area to the total surface area of a cylinder is 4 : 5. If the curved surface area of the cylinder is 1232 cm2, what is its height? (in cm) A) 12 cm B) 8 cm C) 10 cm D) 4 cm E) 16 cm Correct answer: D You have not attempted this question. Solution : 10. A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red? A) B) C) D) E) Correct answer: B You have not attempted this question. Solution : 11. A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at random from the bag, one after another, what is the probability that the first ball is red and the second ball is yellow? A) B) C) D) E) Correct answer: B You have not attempted this question. Solution : 12. The sum of the radius and the height of a cylinder is 19m. The total surface area of the cylinder is 1672 m2, what is the volume of the cylinder? (in m3) A) 3080 B) 2940 C) 3220 D) 2660 E) 2800 Correct answer: A You have not attempted this question. Solution : 13. The ratio of the speed of the boat upstream to the speed of the boat downstream is 2 : 3. What is the speed of the boat in still water if it covers 42 km downstream in 2 hours 20 minutes? (in km/h) A) 13.5 B) 15 C) 18 D) 20 E) 16 Correct answer: B You have not attempted this question. Solution : 14. 35 men complete a piece of work in 16 days and 20 women complete the same piece of work in 30 days. What is the ratio of the amount of work done by 40 men in 1 day to the amount of work done by 15 women in 1 day? A) 10 : 7 B) 20 : 7 C) 7 : 20 D) 21 : 20 E) 7 : 10 Correct answer: B You have not attempted this question. Solution : 15. A man sold an article for `6800 and incurred a loss. Had he sold the article for `7850, his gain would have been equal to half of the amount of loss that he incurred. At what price should he sell the article to have 20% profit? A) B) C) D) E) Correct answer: C You have not attempted this question. Solution : 16.
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