ECAT Pre General Science MCQ Test With Answer for Mathematics Full Book

If∱(x) = 1/x-2 then∱¹(0) equals:

• -1/4 A
• -3/2 B
• -1/2 C
• 1/5 D

sin (sin^-1(1/2))=

• 0 A
• 2 B
• ∞ C
• 1/2 D

The value of 7π/9 in terms of degree is

• 140^ο A
• 130^ο B
• 120^ο C
• 45^ο D

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D

• 
  A
• 
  B
• 
  C
• 
  D

Cofactor of an element aij denoted by Aij is

• (-2)i+j A
• Mij B
• (-1)i+j Mij C
• None of above D

An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is

• 3 / 10 A
• 5 / 10 B
• 7 / 10 C
• 9 / 10 D

A = B if

• 
  A
• 
  B
• 
  C
• A is equivalent to B D

Sine is a periodic function and its period is ______

• π A
• s B
• 2π C
• 4π
  D

Which of the following sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} D

• 0 A
• 1 B
• 2 C
• 4 D

Number of terms in the expansion of (a+x)ⁿis

• n - 1 A
• n + 1 B
• n + 2 C
• n + 3 D

• 1 A
• 2 B
• 0 C
• None of these D

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

• Wholw number A
• Prime number B
• Even number C
• Odd number D

• 
  A
• 
  B
• 
  C
• 
  D

The sum of all even numbers less than 100 is

• 2450 A
• 2352 B
• 2272 C
• 2468 D

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

• Associative property A
• Identity property B
• Commutative property C
• Closure property w.r.t multiplication D

∫x sin xdx is equal to:

• sin x/x + cos x A
• sin x - cos x/x B
• x cos x + sin x C
• - x cos x + sin x D

Which of the following is a vector.

• distance A
• temperature B
• energy C
• acceleration D

1/3 is a decimal

• Recurring A
• Terminating B
• Non-terminating C
• None of the above D

• 
  A
• 
  B
• 
  C
• 
  D

• Free vector A
• Null vector B
• Unit vector C
• None of these D

The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is

• 18 A
• 6 B
• 3 C
• 0 D

The three consecutive numbers a,√ab,b are in

• G.P A
• H.P B
• G.M C
• None of these D

• a cos(ax + b) + c A
• - a cos(ax + b) + c B
• 
  C
• 
  D

I f a =5i + 2j, then|a| =

• √13 A
• √7 B
• 1/√13 C
• √29 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The number of divisors of 1029, 1547 and 122 are in

• A.P. A
• G.P. B
• H.P. C
• None of these D