Ratio Proportion and Partnership

1. The ratio of ages of a father and his son was 5 : 1. What is the age of the son after five years, if the ratio of their ages is 3 : 1 by this time?

• ক. 7
• খ. 10
• গ. 12
• ঘ. 14

2. On a shipping trip, Karim spent 1/3 of his money for a jaket and another Tk.5 for a hat. If he still had 1/2 of his money left, how much money did he save originally?

• ক. Tk.18
• খ. Tk.24
• গ. Tk.30
• ঘ. Tk.50

3. Quantity A : 1 - 1/27 and Quantity B : 8/9 + 1/81--

• ক. Quantity in A is greater
• খ. Quantity in B is greater
• গ. The two quantities are equal
• ঘ. The relationship indeterminate

4. If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, what is the ratio between A to D?

• ক. 5 : 4
• খ. 13 : 4
• গ. 16 : 35
• ঘ. 13 : 20

5. The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?

• ক. 30
• খ. 60
• গ. 80
• ঘ. 90

6. Find the amount of dividend per share received annually by a stock holder for the following: par value Tk.10, dividend rate 4% and dividend payable annually.

• ক. Tk.5
• খ. Tk.0.40
• গ. Tk.0.60
• ঘ. None of these

7. The ratio between the length and breadth of a field is 7 : 5. The perimeter of the field is 360 meter. What is the area of the field?

• ক. 31000 sq. meter
• খ. 31500 sq. meter
• গ. 7875 sq. meter
• ঘ. 8775 sq. meter

8. Cheese, egg and beef sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If the total of 120 sandwiches were made, how hany egg sandwiches were made?

• ক. 15
• খ. 30
• গ. 38
• ঘ. 42

9. Saif, Dr. Nazma and Shakil divided a sum of money among themselves in the ratio 2 : 3 : 7. Find the share of Saif if the total sare of Saif and Dr. Nazma together is Tk.1500 less than that of Shakil?

• ক. Tk.2000
• খ. Tk.1200
• গ. Tk.1500
• ঘ. Tk.2500

10. Three boys have marbles in the ratio of 19 : 5 : 3. If the boy with the least number has 9 marbles, how many marbles does the boy with the highest number have?

• ক. 57
• খ. 15
• গ. 76
• ঘ. 38

11. After taking 30 socks out of the washing machine, Shamim noticed that the ratio of blue socks to brown socks to black shoks was 2 : 3 : 5. How many black socks were in the washing machine?

• ক. 21
• খ. 15
• গ. 9
• ঘ. 6

12. If x : y = 2 : 3, and m : n = 9 : 4, find the ratio xn : ym.

• ক. 27 : 8
• খ. 3 : 2
• গ. 2 : 3
• ঘ. 8 : 27

13. A, B and C enter into partnership with investments in the ratio of 5 : 7 : 8. If at the end of the year A's share of profit is Tk.42360, ow much is the total profit?

• ক. Tk.169440
• খ. Tk.183000
• গ. Tk.196700
• ঘ. Tk.168440

14. Business Partners A, B and C agree to divide their total profit for the year in the ratios 1 : 2 : 2 respectively. If B's share of the profits is Tk,27200, what was the total profit of the business partners for the year?

• ক. Tk.64000
• খ. Tk.30000
• গ. Tk.76000
• ঘ. Tk.68000

15. In a class there are 32 females. The ratio of female to male is 16 : 9. What is the percentage of female in that class?

• ক. 32%
• খ. 36%
• গ. 56.25%
• ঘ. 64%

16. Saif, Noman and Morshed divided a sum of money among thenselves in the ratio 2 : 3 : 7. Find the share of Saif if the total share of Saif and Noman together is Tk.1500 less than that of Morshed.

• ক. Tk.2000
• খ. Tk.1200
• গ. Tk.1500
• ঘ. Tk.2500

17. If Anwar's salary is 25% greater than that of Babu, what is the ratio of the salary of Babu and Anwar?

• ক. 3/4
• খ. 4/5
• গ. 4/3
• ঘ. 25/85

18. Two-fifths of the socks in box are red, one-third is blue and the rest are green. What is the ratio of the green socks to the blue socks?

• ক. 4 : 5
• খ. 5 : 6
• গ. 6 : 7
• ঘ. 7 : 8

19. Let A, B and C shares profit at the ratio of 2 : 3 : 7 and A and B together get Tk.1500 less than C gets. How much A will get:

• ক. 2000
• খ. 1200
• গ. 1500
• ঘ. 750

20. The ratio of the number of boys to the number boys to the number of girls in a certain school club is 3 : 4. If there are 5 more girls than boys in the club, how many girls are in the club?

• ক. 20
• খ. 8
• গ. 12
• ঘ. 15

21. If there are 300 calories in 100 grams of a certain food, how many calories are there in a 30 gram portion of that food?

• ক. 90
• খ. 100
• গ. 900
• ঘ. 1000

22. If 36 students in a class are female and the ratio of female students to male students is 9 : 11, what percentage of the class is female?

• ক. 25%
• খ. 33.33%
• গ. 45%
• ঘ. 66.66%

23. Two-fifths of the caps in box are red, one-fourth is blue and the rest are green. What is the ratio of the green caps to the blue caps?

• ক. 5 : 8
• খ. 5 : 7
• গ. 7 : 8
• ঘ. 8 : 7

24. In a school the ratio of boys to girls is 3 : 7. If there are 150 boys and girls in the school, how many boys are there?

• ক. 45
• খ. 75
• গ. 90
• ঘ. 105

25. In a class the ratio of the number of boys to girls is 5 : 3. What percent of the students of the class are girls?

• ক. 37.5%
• খ. 50%
• গ. 60%
• ঘ. 62.5%