ECAT Pre Comupter Mathematics Test

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• 2 D

The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is

• a > 0 A
• a < 0 B
• a≠ 0 C
• a≠ 0,b ≠ 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

If sin (πcosθ) = cos (πsinθ), then which of the following is correct?

• 
  A
• 
  B
• 
  C
• 
  D

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

• 32 A
• 31 B
• 64 C
• 1024 D

If n is add the expansion (a + x)ⁿhas middle terms

• 2 A
• 3 B
• 4 C
• 5 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

What is the value of cos (cos-1 2) ?

• √2 A
• 1/2 B
• undefine C
• 0 D

Range if y = cos x is

• -1≤ y≤ 1 A
• -1 < y < 1 B
• -∞ < x < +∞ C
• None of these D

√25 is a number

• Rational A
• Irrational B
• Natural C
• Odd D

• 
  A
• 
  B
• 
  C
• 
  D

• Associate law of addition A
• Commutative law of addition B
• Additive identity C
• Closure law of addition D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

Which of the following is the subset of all sets?

• 
  A
• 
  B
• 
  C
• 
  D

The transport of a square matrix is a

• Row matrix A
• Column matrix B
• Square matrix C
• Null matrix D

• c = 0 A
• c = -1 B
• c = -2 C
• c = 1 D

The transpose of a column matrix is a ______

• Zero matrix A
• Diagonal matrix B
• Column matrix C
• Row matrix D

• 
  A
• 
  B
• 
  C
• 
  D

Find the next two terms of 7, 9, 12, 16,...

• 18, 20 A
• 19, 22 B
• 20, 25 C
• 21, 27 D

• 
  A
• 
  B
• 
  C
• 
  D

Which is the proper rational function

• 
  A
• 
  B
• 
  C
• 
  D

If a₁= 3, r = 2, then the nth term of the G.P. is

• 2.3^n-1 A
• 3.2ⁿ B
• 3.2ⁿ⁺¹ C
• 3.2^n-1 D

A stationary point x is a relative exterma of y= f(x) is

• f′′ (x) > 0 A
• f′′ (x) < 0 B
• f′′ (x) ≠ 0 C
• f′′(x) = 0 D

The sum of the coefficient in the expansion of (a + x)⁵is

• 32 A
• 16 B
• 8 C
• 5 D

The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is

• 50 cm/sec A
• 60 cm/sec B
• 61 cm/sec C
• None of these D

For any equilateral r :R :η :r1 :r2 :r3 =

• 1:2:3:4:5 A
• 1:2:3:3:3 B
• 1:2:4:4:4 C
• 2:1 :2 :2 :2 D