ECAT Pre Engineering MCQ Test With Answer for Mathematics Full Book

If ∱(x) = x^2/3then∱¹(x) at x = 8 equals:

• 8 A
• 1/8 B
• 1/3 C
• 2/3 D

Find all the angle between -360^o and 180^o when sinx = 1/2?

• -30^o , -150^o A
• 30^o , 150^o B
• 30^o , -150^o C
• -30^o, 150^o D

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D

• 
  A
• 
  B
• 
  C
• 
  D

The formula an = arn-1represents

• nth term of G.P A
• Sum of the first n terms B
• G.M between a and b C
• None of these D

• x A
• 
  B
• y C
• 
  D

i³ =

• -1 A
• i B
• -i C
• 1 D

• 2x - 3x + c A
• 
  B
• x²- 3x + c C
• 
  D

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

• 0 A
• 2 B
• 4 C
• 7 D

• A = x, B = 1 A
• A = 0, B = 2 B
• A = -1, B = 1 C
• A = x-1, B = x+1 D

If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

• 4 A
• 5 B
• 6 C
• 7 D

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these D

Which of the following function form 1 to itself are bi-jective

• F(x) = x + 3 A
• F(x) = x⁵ B
• F(x) = 3x + 2 C
• F(x) = x²+ x D

(x + 2)²= x²+ 4x + 4 is

• A linear equation A
• A cubic equation B
• A quadratic equation C
• None D

• 
  A
• a^xIn a + c B
• a^x+ c C
• x a^x+ c D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

How many necklaces can be made from 6 beads of different colours?

• 120 A
• 60 B
• 24 C
• 15 D

(1, 2) is in the solution of the inequality

• 2x + y > 8 A
• 2x + y < 6 B
• 2x - y > 1 C
• 2x + 3y < 2 D

• -3 A
• -7 B
• 1 C
• 0 D

The angle between the vectors u =2i - i + k and v = -i + i is:

• 3π/2 A
• 2π/3 B
• 5π/6 C
• π/3 D

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

The value of 63^οin term ofπ is

• 5π/2
  A
• 5π/3 B
• 7π/20 C
• 7π/3 D

For n€ N,2^n>2 > n is to only when

• n<2 A
• n≤ 4 B
• n≥ 4 C

If y=f(x) is a function then y is called

• dependent variable A
• independent variable B
• constant C
• none of these D

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

• 4 A
• 3 B
• 2 C
• 1 D

The expansion (1 + x)^-3holds when

• |x| > 1 A
• |x| < 1 B
• x < 1 C
• x > 1 D

A monoid (G, *) is said to be group if

• have identity element A
• is commutative B
• have inverse of each element C
• None of these D

A circle drawn inside a triangle and touching its sides is called

• In-circle A
• Circum circle B
• Escribed circle C
• None of these D

The total cost of 2 apples and 3 oranges is $1.70, which of the following is true

• The cost of one apple A
• The cost of one orange B
• Both have equal cost per item C
• Cost of each single item can not be determined D