Algebra

If the second term in an arithmetic sequence is 4 and the tenth term is 15, what is the first term in the sequence?

If, x - y = 5, xy = 6, then x + y =?

If the sum of x and its multiplicative inverse is 3, then x³ + 1/x³ = ?

The value of √(10 + √(25 + √(108 + √(154 + √225)))) is:

If x= 10 which of the following has the minimum value?

If a square mirror has a 20 inch diagonal, what is the approximate perimeter of the mirror, in inches?

Q (33 -  56): Read the following questions carefully and choose the right answer.
৩৩. If m and n are whole numbers such that mⁿ = 121, the value of (m - 1)^{n + 1} is:

If x > 5 and y < - 1, then which of the following statements is true?

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer. (I) 39x² - 31x – 28 = 0 (l) y²- 25y + 114 = 0

If a + (1/a) = 3, what is a³ + (1/a³)?

The values of p for equation 2x² - 4x + p = 0 to have real roots is:

For which value of p will the square root of 4x² - px + 9 be an integer?

If 1/y = 7/2 then 1/(y + 2) = ? 

At present, father's age is 4 times more than that of his son. 6 years ago father's age was 10 times more than that of his son. What is the present age of father and son?

If (2x² + 3x - 5)(x + 2) = ax³ + bx² + cx + d, then ac - bd = ?

Suppose x > y and xy < 0, which of the following must be negative?

A family had provision of food for 15 days. After 5 days 8 guests came and the provision lasted 6 days. How many are the members of the family?

If x ≥ 10 and y ≥ 12, then which of the following must be true?

If y{(4x - 2)/4} = y and y ≠ 0, then x = ?

In a room, there are six Bengali, twelve engineers and fifteen football players. Only one of them was a bengali Engineer who played Football. Two were Bengali Engineers but did not play football and two were Bengali football players and were not engineers. If there were 24 people in the room, and at least one of them were Bengali, engineer or a football player, how many were engineers and played football but not Bengali?