NAT-ICS Computer Science Mathematics Hard Test

• 2 A
• 1 B
• 0 C
• 
  D

• 
  A
• -3/4 B
• 1/16 C
• 1/4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Which is an explicit function

• 
  A
• 
  B
• 
  C
• All 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

What is a proper rational fraction?

• 
  A
• 
  B
• 
  C
• All are proper rational fractions D

The range of inequality x + 2 > 4 is

• (-1, 2) A
• (-2, 2) B
• 
  C
• None D

In which quadrant is the solution of the equation sin x - 1 = 0

• II quadrants A
• II and III quadrants B
• III and IV quadrants C
• I quadrant D

• n = 3 only A
• n > 5 B
• n > 3 C
• n < 5 D

A function F(x) is called even if

• F(x) = F(-x) A
• F(x) = F(-x) B
• F(x) = -F(x) C
• 2F(x) = 0 D

The point (-5, 3) is the center of a circle and P(7, -2) lies on the circle. The radius of the circle is

• 2 A
• 13 B
• 7 C
• 8 D

The common difference of the sequence 7,4,1, .......... is

• 1 A
• -3 B
• 5 C
• 0 D

If A and B are matrices of same order than (,A + B)(A + B) =

• A²+ B² A
• A²+ B²+ 2AB B
• A + B C
• A²+ B²+ AB + BA D

A line segment whose end points lie on a circle is called

• The secant of the circle A
• The arc of the circle B
• The chord of the circle C
• The circumference of the circle D

• 
  A
• 
  B
• 
  C
• None of these 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
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D