Review Test on Lecture 1 to 4

If x, y, z are consecutive non-zero integers and x<y<z, which of the following must be a positive odd integer?

• x - z

• x + y + 1

• x + y + z

• xz - y

• None of these

If y is an integer and 15 < y < 25, which of the following could be the average (arithmetic mean) of 12, 14, 17, 23 and y?

• 13.2

• 15.6

• 16.8

• 18.2

• 19.5

If x and y are both integers, x > y, and – 5x > 26, then what would be the largest value of y?

• -5

• -6

• -7

• -8

• None of these

If 4y-3x = 5, what is the smallest integer value of x for which y > 100?

• 130

• 131

• 132

• 135

• None of these

When x is divided by 7, the remainder is 6. Which of the following must be an even integer?

• None

• I

• II

• III

• II and III

• None of these

What is the value of the x for which (2x+3)(x-1)<0?

• x < -3

• x < 1

• x > 1

• x > -3

• None of these

If y= (x-6)(x-5)(x-4)(x-3), x is a positive integer and y>0, then which of the following must be true?

• x < 3

• x < 6

• 0 < x < 3

• x > 3

• None of these

• b > 0

• a < 0

• a > 0

• b < 0

• None of these

• None of these