1. A group of 7 numbers having a majority of boys is to be formed out of 7 boys and 4 girls The number of ways the group can be formed is -

2. For y=-2x-8, what is the least value of x for which y is less then 9 ?

3. The difference in taka between simple and compound interest at 5% annually on a sum of TK. 5000 after 2 years is -

4. If $\cos A + {\cos }^{2}A=1,$ then the value of the expression $({\cos }^2 A+\cos A)is-$

5. If ${\log }_x\frac{9}{16}=-\frac{1}{2},$ the value of the base is -

6. If the diagonal of a square measures $16\sqrt{2}$ cm. what is the area of the square in sq. cm?

7. If two fair coins are flipped, what is the probability that one will come up heads and the other tails?

8. There are 10 true -false questions in an examination. These question can be answered in -

9. The three sides of a triangle are x+1 , 2x-1, and 2x +1 respectively and the perimeter is 26 cm. The length of the smallest side is -

10. If a-1/a=2, what is $a^3-1/a^3?$

11. If xy =2 and $x{y}^2=8, what is the value of x?$

12. How many real roots does the polynomial $2x^3+8x-7 have?$

13. $If \frac{y}{x}=\frac{1}{3} and x+2y=10, then x is-$

14. If 1-2x ≤ 3 , then-

15. Two numbers are in the ratio 2 : 5 . If 16 is added to both the numbers , their ratio becomes 1 : 2 . The numbers are -

16. If A = {1,2,3,4,5} , then the number proper subsets of A is -

17. The average of eight numbers is 14 . The average of six of these numbers is 16. The average of the remaining two numbers is -

18. The H.C.F. of two numbers is 24. Which can be their L.C.M is -

19. The next number in the sequence 3, 6,11,18,27,.... is -

20. Every 3 minutes , 4 liters of water are poured into a 2,000 liters tank. After 2 hours, what percent of the tank is full?

21. If w is 10% less than x and y is 30% less than z, then wy is what percent less than xz?

22. P and Q are brothers, R and S are sisters. The son of P is brother , R and S are sisters. The son of P is brother of S. Q is related to R as -

23. How many integers from 1 to 1000 are divisible by 30 but not by 16 ?

24. If both x and y are prime numbers, which of the following cannot be the product of x and y?

25. If x is an even number, what is the difference between the smallest even number greater than (5x + 6) and the largest even number less than (3x + 9)?

26. The average of a, b, c is 6 and a - b = 4 , ab = 21, What is the value of c?

27. What is the rate of discount if a car that had a regular price of Tk. 30,00,000 is sold for Tk. 27,90,000?

28. Sum of three different positive integers is the same as their product. What is the smallest of these 3 integers?

29. A sum of money amounts to Tk 460 in 3 years and to Tk 500 in five years. Find the rate percent per amount

30. A jar contains milk and water in the ratio 5: 1. If the quantity of milk is more than that of water by 8 liters, then what is the quantity of water?

31. The base of an isosceles triangle is 6 cm and one of the equal sides is 12 cm. Find the radius of the circle through the vertices of the triangle?

32. Sellling 12 pen at a price of Tk 10 yields a loss of a% Selling 12 pen at a price of Tk 12 yields a profit of a%. What is the value of a?

33. a, b, c, d and e are five consecutive integers in increasing order of size. Which one of the following expression is not odd?

34. Of the 50 researcher in a work group 40% will be assigned to team A and the remaining 60% to team B. However 70% of the researcher prefers team A and. 30% prefer team B. What is the least possible number of researchers who will not be assigned to the team they prefer?