NAT-ICS Computer Science Mathematics Hard Test

• 
  A
• 
  B
• 
  C
• 
  D

The perpendicular bisector of any chord of a circle

• Passes through the centre of the cirle A
• Does not pass through the centre of the circle B
• May or may not pass through the centre of the cirlce C
• None of these D

Multiplicative inverse of "1" is

• 0 A
• + 1 B
• 1 C
• {0, 1} D

• 
  A
• 
  B
• 
  C
• 
  D

How many elements are in the sample space of two rolling dies

• 6 A
• 12 B
• 18 C
• 36 D

In 30,60,90 triangle, if the smallest side is 6 then the side opposite to the angle of 60°is

• 12 A
• 3 B
• 
  C
• 6 D

If the diagonal of a square has coordinates (1, 2) and (5,6) the length of a side is

• 3 A
• 4 B
• 1 C
• 5 D

If ab > 0 and a < 0, which of the following is negative?

• b A
• -b B
• -a C
• (a - b)² D

6 is

• A prime integer A
• An irrational number B
• A rational number C
• An odd integer D

Sin x + Cos x = 1 x =

• 
  A
• 
  B
• 
  C
• 
  D

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

• Parabola A
• Circle B
• Hyperbola C
• Ellipse D

• A polynomial A
• An inequality B
• An identity C
• A linear function D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The number ways in which 5 distinct toys can be distributed among 3 children is

• 3⁵ A
• 5³ B
• C₃⁵ C
• P₃⁵ D

A standard deck of 52 cards is shuffled. What is the probability of choosing the queen of the diamonds

• 1/5 A
• 1/13 B
• 5/52 C
• 1/52 D

• 
  A
• 
  B
• 
  C
• 
  D

The sum of the interior angles for a 16 sided polygon is

• 4 pie A
• 14 pie B
• 8 pie C
• 2 pie D

If 0 < n < 1, n is a rational number, the number of terms in the expansion of (1 + X)ⁿare

• n + 1 A
• 2n B
• Infinitely many C
• 2n² D

In the expansion of (a + b)ⁿin every term the sum of the exponents of a and b is

• n A
• n + 1 B
• 2n - 1 C
• 2n + 1 D