Mathematics SQP

A polynomial is divided by (x - a). For (x - a) to be a factor of the polynomial, the remainder should be:

• -a

• 0

• a

• 2a

A sphere is cut into two identical hemispheres. Which statement is TRUE?

• The total volume of the hemispheres is double the original sphere's volume.

• The total surface area of the hemispheres is equal to the original sphere's surface area.

• The total surface area of the hemispheres is greater than the original sphere's surface area.

• The total volume of the hemispheres is half the original sphere's volume.

What is the probability of getting heads when a fair coin is tossed?

• 0

• 1/2

• 1

• 2

The roots of the quadratic equation x² - 9 = 0 are:

• 0

• 3

• -3

• ±3

Which equation represents a line passing through the origin and having a slope of 1?

• x + y = 1

• x - y = 0

• 2x - 3y = 0

• x = 2

If the mean of 5 numbers is 10, and one number is removed, the new mean is 8. What number was removed?

• 8

• 10

• 18

• 20

In a right-angled triangle, the tangent of an angle is defined as:

• Opposite side / Adjacent side

• Adjacent side / Hypotenuse

• Opposite side / Hypotenuse

• Hypotenuse / Adjacent side

If two tangents are drawn to a circle from an external point, then the tangents are:

• Unequal in length

• Equal in length

• Perpendicular to each other

• Parallel to each other

The sum of the first 'n' natural numbers is given by the formula:

• n²

• n(n+1)

• n(n+1)/2

• 2n

The rate of GST is 12%. If the marked price of an item is Rs. 1000, what is the CGST amount?

• Rs. 60

• Rs. 120

• Rs. 180

• Rs. 240