NTS Educators ESE (Science) Jobs Test With Answers

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NTS Educators ESE (Science) Jobs Test

Sr. # Questions Answers Choice
1 Find the geometric mean between 4 and 16 7, 8 14, 4 28, 2 56, 1
2 The common difference of the sequence 7,4,1......is 1 -3 5 0
3 Write the first four term of the arithmetic sequence if a1 = 5 and other three consecutive terms are 23,26,29 18 years 36 years 8 years 16 years
4 The difference of two consecutive terms of an A.P is called Zero One Four Infinite
5 The sum of the interior angles for a 16 sided polygon is 0 ω 1 1 / ω
6 If a and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then 1 ω<sup>2</sup> ω 0
7 The sum of the series 1+5+9+13+17+21+25+29 is: 10 cm 20 cm 30 cm 40 cm
8 The nth term in G.P 3,-6,12,............ is 25, 20 20, 10 20, 5 15, 10
9 If the 9th tern of A.P is 8 and the 4th term is 20. then the first term is 1 2 -2 -1
10 The nth term of A,P:1,5,9,15...........is given by 4n - 3 4n + 1 3n -4 4n +3
11 The equation of two polynomials P(x)/Q(x) where Q(x) ≠ 0 with no common factor is called 12 1 10 -10
12 Partial fraction of 1/x3-1 will be of the form Conjugate pair ordered pair reciprocal pair quadratic function
13 A relation in which the equality is true only for some values of the unknown variable is called An identity An equation A polynomial Inverse function
14 A fraction in which the degree of the numerator is less than the degree of the denominator is called 1-i&nbsp;√-3 / 2 -1+i&nbsp;√-3 / 2i -1+i&nbsp;√3 / 2 1+i&nbsp;√3 / 2
15 1/x2 -1 = ? (in case of making partial fraction) Ax +B/x<sup>2</sup> -1 A/x + B/ x- 1 A/ x+1 + B/x-1 None
16 x2 +2x -25 = 0 is 1 2 3 4
17 (x+2)2 = x2 +4x +4 is 1 2 3 4
18 x-1/(x+2)(x-2) = 4/3(x-4) -1/3(x-1) 3/4(x+2) + 1/4(x-2) 2/3(x-2) - 4/3(x+2) 3/x - 2/x+1
19 2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to α = b/a and&nbsp;β = ca α = a/b and&nbsp;β = -c/a α<sup>2</sup> +&nbsp;β<sup>2</sup> = 1 α = -b/a and&nbsp;β= c/a
20 Which is a proper rational fraction 3x - 7/x<sup>2</sup> +4 2x<sup>2</sup> - 5/x<sup>2</sup> + 4 3x<sup>4</sup>/2x<sup>2</sup> - 15 All are proper rational fraction
21 The two consecutive positive integers whose product is 56 are 7, 8 14, 4 28, 2 56, 1
22 The sum of the ages of Nazish and his son is 56 years. Eight years ago. Nazish was 3 time as old as his son. How old is the son now? m = n m&nbsp;≠ n mn = 1 mn = 0
23 The number of real roots in cube roots of 8 is ? n x m m x n km x n m x kn
24 ωn = ?, when n = 3k 0 ω 1 1 /&nbsp;ω
25 ω88 = ? A and B are multiplicative inverse of each other A and B are additive inverses of each other A and B are singular matrices A and B are equal
26 The length of rectangle is twice as much as its breadth. If the perimeter is 120 cm, the length of the rectangle is Same as the original determinant Additive inverse of the original determinant Both A and B Adj of the original matrix
27 Two natural numbers whose sum is 25 and difference is 5, are 25, 20 20, 10 20, 5 15, 10
28 If the sum of the roots of (a + 1)x2 + (2a + 3)x + (3a + 4) = 0 is -1, then product of the roots is Commutative law w.r.t multiplication Associative law w.r.t addition Distributive law w.r.t addition Multiplication of a scalar with the matrix
29 The value of the polynomial 3x3 + 4x2 - 5x + 4 at x = -1 is A<sup>2</sup> + B<sup>2</sup> A<sup>2</sup>&nbsp;+ B<sup>2 </sup>+ 2AB A + B A<sup>2</sup> + B<sup>2</sup> + AB+BA
30 Complex roots of real quadratic equation occur in Nilpotent matrix Singular matrix Non singular matrix Diagonal matrix
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