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# Quant Statement Based Quiz

Q1. A salesman offers a commission of x% on the first sale of worth Rs. 3000 and y% on the part of sale exceeding it. He gives Rs. 1100 as commission on a sale of Rs. 7000 and Rs. 1660 as commission on a sale of Rs. 11000. Find the value of x and y respectively.
(a) 18% and 14%
(b) 18% and 12%
(c) 14% and 16%
(d) 16% and 14%
(e) None of these

Q2. Rubina decided to donate 16% of her monthly salary to an NGO. On the day of donation she changed her mind and donated Rs. 6,567 which was 75% of what she had decided earlier. How much is Rublna’s monthly salary?
(a) Rs. 8,756
(b) Rs. 54,725
(c) Rs. 6,56,700
(d) Rs. 45,696
(e) None of these

Q3. Average weight of three boys P,T and R is 54-1/3 kg while the average weight of three boys T, F and G is 53 kg. What is the average weight of P, T, R, F and H?
(a) 53.8 kg
(b) 52.4 kg
(c) 53.2 kg
(e) None of these

Q4. Directions : Study the information carefully to answer these questions. A bag contains 2 red, 3 green and 2 blue balls. 2 balls are to be drawn randomly. What is the probability that the balls drawn contain no blue ball ?
(a) (1) 5/7
(b) (2) 10/21
(c) (3) 2/7
(d) (4) 11/21
(e) (5) none of these

Q5. The age of Sulekha and Aruni-ma are in the ratio of 9 : 8 respectively. After 5 years the ratio of their age will be 10 : 9. What is the difference (in years) between their age?
(a) 4 years
(b) 5 years
(c) 6 years
(d) 7 years
(e) None of these

Q6. Number of students in Arts and Science faculties in an institute are in the ratio of 5 : 8 respectively. If 150 more students join ‘ Arts faculty while 80 more students join Science faculty, the respective ratio becomes 3 : 4. Originally what was the total number of students in both faculties together ?
(a) 1200
(b) 1400
(c) 1150
(d) Cannot be determined
(e) None of these

Q7. A starts a small business by investing a certain sum of money. B joins A after three months from the start of the business by investing 1:5 times A’s investment. Three months after B joined the business, C Joins A and B by investing half of A’s investment. It was agreed that the working partner would receive 10% of the profit and the share according to the investment proportion from the rest of the profit. If total profit at the end of the year was Rs. 23750, how much will A, being the only working partner receive?
(a) Rs. 11,375
(b) Rs. 10,000
(c) Rs. 12,375
(d) Rs. 11,275
(e) None of these

Q8. The profit after selling a pair of trousers for Rs. 863 is the same as the loss incurred after selling the same pair of trousers for Rs. 631. What is the cost price of the pair of trousers?
(a) Rs. 750
(b) Rs. 800
(c) Rs 763
(d) Cannot be determined
(e) None of these

Q9. How many different words can be formed with the letters of the word ‘ALLAHABAD’ ?
(a) 7500
(b) 7560
(c) 7510
(d) 7580
(e) None of these

Q10. A discount of 15% is given on the marked price of an article. The shopkeeper charges sates tax of 6% On the discounted price. If the selling price be Rs. 1081.20, what is the marked price of the article?.
(a) Rs. 1185.20
(b) Rs. 1250.20
(c) Rs. 302
(d) Rs. 1200
(e) None of these

Q11. 18 men can complete a project in 30 days and 16 women can complete the same project in 36 days.15 men start working and after 9 days they are replaced by 18 women. In how many days will 18 women complete the remaining work ?
(a) 20
(b) 30
(c) 26
(d) 28
(e) 24

Q12. Rashmi had Rs. 4,200. She invested some of it in scheme A for 4 years and rest of the money she invested in scheme B for two years. Scheme A offers simple interest at a rate of 22%p.a. and scheme B offers compound interest (compounded annually) at a rate of 10% p.a. if the interest received from Scheme A is Rs. 1516more than the interest received from Scheme B, what was the sum invested by her in scheme A ?
 Rs. 2,600
 Rs. 2,000
 Rs. 2,200
 Rs. 2.400
 Rs. 1,800

Q13. A 280 metre long train moving with an average speed of 108 km/hr crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man in metre/second ?
(a) 5 m/s
(b) 8 m/s
(c) 12 m/s
(d) Cannot be determined
(e) None of these

Q14. The speed of the boat in still water is 16 kmph and speed of the current is 2 kmph. It takes a total of 6.5 hours to row upstream from point A to point B and downstream from point B to point C. If the distance from point A to point B is two-third the distance between point B and C, what is the total distance travelled by the boat (both upstream and downstream) ?
(a) 112 km
(b) 98 km
(c) 124 km
(d) 90 km
(e) 105 km

Q15. If the area of a circle is 616 cm square, what is its circumference?
(a) 76 cm.
(b) 84 cm.
(c) 96 cm.
(d) 80 cm.
(e) None of these

Q16. The length of a rectangle is 4m more than the side of a square and the breadth of the rectangle is 4m less than side of the same square. The area of the square is 567 square metre, what is the area of the rectangle ? (in square metre)
(a) 549
(b) 545
(c) 557
(d) 559
(e) 551