Number System

1. Find the value of (0.1 × 0.01 × 0.001) ÷ (0.2 × 0.02 × 0.002)

• ক. 14
• খ. 18
• গ. 21
• ঘ. 28

2. A farmer had 20 hens. All but 2 died. How many hens are still alive?

• ক. 2
• খ. 10
• গ. 15
• ঘ. 18

3. In a class composed of x girls and y boys what part of the class is composed of girls?

• ক. y / (x + y)
• খ. x / xy
• গ. x / (x + y)
• ঘ. y / xy

4. r>s>0; Quantity A = rs/r and Quantity B = rs/s

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

5. x = 2y + 3 and y = - 2; Quantity A = x and Quantity B = - 1

• ক. Quantity in A is greater
• খ. Quantity in B is greater
• গ. The two quantities are equal
• ঘ. The relationship cannot be determine from the information given

6. Which of the following fractions has the smallest value?

• ক. 8/7
• খ. 10/9
• গ. 21/20
• ঘ. 41/40

7. If the sum of the 3 consecutive integers is 240, then the sum of the two larger integers is:

• ক. 79
• খ. 159
• গ. 169
• ঘ. 161

8. If x = -1, then - (x4 + x3 + x2 + x) =

• ক. - 10
• খ. - 4
• গ. 0
• ঘ. 4

9. If x is an integer, then which of the following is always an even integer?

• ক. x - 1
• খ. x + 1
• গ. x + 2
• ঘ. 2x + 2

10. 0.1 is how many times greater than 0.001?

• ক. 1
• খ. 10
• গ. 100
• ঘ. 1000

11. Find the missing number in the series 3, 6, 18, 72, 360, --

• ক. 720
• খ. 1440
• গ. 2160
• ঘ. None of the above

12. If 4 is subtracted from one-fourth of a number, the result is 20. Which of the following is the number?

• ক. 24
• খ. 36
• গ. 48
• ঘ. 96

13. If you add up the digits of a three-digit number you get 18. the ten's digit is twice the hundred's digit and the hundred's digit is 1/3 the unit's digit. What is the number?

• ক. 246
• খ. 369
• গ. 531
• ঘ. 855

14. When a positive integer x is divided by a positive integer y the remainder is 9. If x = 96.12 then what is the value of y?

• ক. 96
• খ. 25
• গ. 48
• ঘ. 75

15. If x is an integer, then which of the following is must be odd?

• ক. 2x + 2
• খ. 13x
• গ. x
• ঘ. 2x + 3

16. If n is a positive integer then what is the remainder when {3(8n + 3) + 2} is devided by 5?

• ক. 4
• খ. 1
• গ. 0.4
• ঘ. 0

17. The positive difference between the squares of any two consecutive integers is always---

• ক. an even integer
• খ. an odd number
• গ. a prime number
• ঘ. the square of an integer

18. If the product of three consecutive integers is 210, then the sum of the two smaller integers is----

• ক. 5
• খ. 11
• গ. 20
• ঘ. 13

19. If an integer y is subtracted from an integer x, and the result is greater than x, then y must be :

• ক. Equal to x
• খ. Less than 0
• গ. Less than x
• ঘ. Greater than 0

20. If x is negative, which of the following must also be negative?

• ক. (-x3)2
• খ. (-1)x
• গ. 1 - x
• ঘ. x3 - x2

21. If the sum of five consecutive positive integers is A, then the sum of the next five consecutive integer in terms of A is:

• ক. A + 1
• খ. A + 5
• গ. A + 25
• ঘ. 2A

22. If n is an even integer which of the following must be an odd integer?

• ক. 3(n + 1)
• খ. n - 2
• গ. 3n + 5
• ঘ. n3

23. If the sum of 3 consecutive integers is 150, then the sum of the two smaller integers is:

• ক. 99
• খ. 139
• গ. 110
• ঘ. none of these

24. If X is an odd integer and Y is an even integer, which of the following statements is(are) always true? I. X + Y is odd II. XY is odd III. X + 2Y is even

• ক. I only
• খ. II and III only
• গ. I and III only
• ঘ. III only

25. Which of the following is the greatest?

• ক. 40% of 30
• খ. 3/5 of 25
• গ. 6.5% of 200
• ঘ. (1/2)-4