Divisibility Rules

1. Tk. 51 is distributed between Sumi and Meem in such a way that Sumi receives Tk.3 less than twice the amount received by Meem. The amount (in Taka) received by Sumi is:

• ক. 29
• খ. 39
• গ. 33
• ঘ. 27

2. Which of the following is the lowest positive integer divisible by 2, 3, 4, 5, 6, 7, 8 and 9?

• ক. 15120
• খ. 3024
• গ. 2520
• ঘ. 1890

3. A number is multiplied by 4 and then the product is divided by 100. This same result can be obtained if the original number is divided by--

• ক. 0.04
• খ. 0.25
• গ. 0.40
• ঘ. 2.5

4. If k is divisible by 3, 9 and 12, which of the following is also divisible by these numbers?

• ক. k + 15
• খ. k + 35
• গ. k + 45
• ঘ. k + 72

5. If a certain integer x is devided by 4, the remainder is 3, then all of the folowing could be an integer except--

• ক. x/11
• খ. x/23
• গ. x/8
• ঘ. All of above

6. When positive integer m is divided by positive integer n, the remainder is 6. If m/n = 112.15 what is the value of n?

• ক. 15
• খ. 20
• গ. 40
• ঘ. 25

7. When a certain number is divided by 7, the remainder is 0. But the remainder is not 0 if the number is devided by 14, what is the number?

• ক. 1
• খ. 2
• গ. 4
• ঘ. 7

8. Which of the following fraction is the largest?

• ক. 5/6
• খ. 11/14
• গ. 12/15
• ঘ. 17/21

9. The number 50 is what percentage of 10000?

• ক. 10%
• খ. 5%
• গ. 0.5%
• ঘ. 0.05%

10. If a number is divisible by 102, then it is also divisible:

• ক. 23
• খ. 11
• গ. 5
• ঘ. 2

11. Of the following which is greater?

• ক. 1/2
• খ. 7/15
• গ. 49/100
• ঘ. 126/250

12. If k is divisible by 2, 3 and 15, which of the following is also divisible by these numbers?

• ক. k + 5
• খ. k + 15
• গ. k + 20
• ঘ. k + 30

13. If a number is divisible by 102, then it is also divisible by which of the followinig number?

• ক. 2
• খ. 3
• গ. 17
• ঘ. All

14. A store raised the price of an item by exactly 10 percent. Which of the following could not be the resulting price of the item in taka?

• ক. 5.50
• খ. 7.60
• গ. 11.00
• ঘ. 12.10

15. The 180 students in a group are to be seated in rows so that there are an equal number of students in each row. Each of the following could be the number of rows except--

• ক. 4
• খ. 20
• গ. 30
• ঘ. 40

16. Which of the following number is divisible by 6?

• ক. 3153
• খ. 6252
• গ. 2133
• ঘ. 7202

17. The 356 members of metro-chamber of commerce will vote to choose a president. With 5 candidates seeking office, what is the least number of votes a successful candidate could receive and yet have more votes than any other candidate?

• ক. 179
• খ. 78
• গ. 89
• ঘ. 72

18. Which of the following number is divisible by 7?

• ক. 724
• খ. 364
• গ. 627
• ঘ. 531

19. Which of the following number is divisible by 8?

• ক. 7602
• খ. 5213
• গ. 2318
• ঘ. 3480

20. Which of the following number is divisible by 6 & 9?

• ক. 30582
• খ. 56132
• গ. 623
• ঘ. 10536

21. What is the number of integers between 101 and 199 which are exactly divisible by 5 or 7?

• ক. 30
• খ. 29
• গ. 32
• ঘ. 31

22. In dividing a sum of money, the eldest of three brothers got 2/5th of it and the youngest got Tk. 120. What was the total sum in Tk. If the amount received by the other brother was 1/3rd of the total?

• ক. 98
• খ. 100
• গ. 108
• ঘ. 451

23. A water reservoir is 1/5th full and requires 20 liters more to make it 3/5th full. What is the capacity of the reservoir (in liters)?

• ক. 40
• খ. 30
• গ. 60
• ঘ. 50