**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

**(a) Rs. 8,756**

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?

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?

(b) Rs. 54,725

(c) Rs. 6,56,700

(d) Rs. 45,696

(e) None of these

**(a) 53.8 kg**

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?

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?

(b) 52.4 kg

(c) 53.2 kg

(d) Data inadequate

(e) None of these

**(a) (1) 5/7**

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 ?

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 ?

(b) (2) 10/21

(c) (3) 2/7

(d) (4) 11/21

(e) (5) none of these

**(a) 4 years**

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?

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?

(b) 5 years

(c) 6 years

(d) 7 years

(e) None of these

**(a) 1200**

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 ?

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 ?

(b) 1400

(c) 1150

(d) Cannot be determined

(e) None of these

**(a) Rs. 11,375**

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?

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?

(b) Rs. 10,000

(c) Rs. 12,375

(d) Rs. 11,275

(e) None of these

**(a) Rs. 750**

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?

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?

(b) Rs. 800

(c) Rs 763

(d) Cannot be determined

(e) None of these

**(a) 7500**

Q9. How many different words can be formed with the letters of the word ‘ALLAHABAD’ ?

Q9. How many different words can be formed with the letters of the word ‘ALLAHABAD’ ?

(b) 7560

(c) 7510

(d) 7580

(e) None of these

**(a) Rs. 1185.20**

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?.

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?.

(b) Rs. 1250.20

(c) Rs. 302

(d) Rs. 1200

(e) None of these

**(a) 20**

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 ?

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 ?

(b) 30

(c) 26

(d) 28

(e) 24

**[1] Rs. 2,600**

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 ?

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 ?

[2] Rs. 2,000

[3] Rs. 2,200

[4] Rs. 2.400

[5] Rs. 1,800

**(a) 5 m/s**

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 ?

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 ?

(b) 8 m/s

(c) 12 m/s

(d) Cannot be determined

(e) None of these

**(a) 112 km**

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) ?

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) ?

(b) 98 km

(c) 124 km

(d) 90 km

(e) 105 km

**(a) 76 cm.**

Q15. If the area of a circle is 616 cm square, what is its circumference?

Q15. If the area of a circle is 616 cm square, what is its circumference?

(b) 84 cm.

(c) 96 cm.

(d) 80 cm.

(e) None of these

**(a) 549**

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)

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)

(b) 545

(c) 557

(d) 559

(e) 551

__ANSWERS____:__

**1**a

**2**b

**3**d

**4**b

**5**b

**6**e

**7**a

**8**e

**9**b

**10**d

**11**e

**12**d

**13**b

**14**e

**15**e

**16**d