NTS Educators ESE (Science) Jobs Test With Answers

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NTS Educators ESE (Science) Jobs Test

Sr. # Questions Answers Choice
1 If a rectangle has an area 81x2 and length of 27x. then what is its width? 3x 9x 3x<sup>2</sup> 9x<sup>2</sup>
2 Cse π/3 2 1 0 2/√3
3 In 30,60,90 triangle if the smallest side is 6 than the side opposite to the angle of 60o is 12 3 6√3 6
4 Domain of Cosecθ is is R but&nbsp;θ= nπ is R but&nbsp;θ ≠ nπ is R but&nbsp;θ ≠ 2nπ is R but&nbsp;θ ≠ nπ/2
5 If 0 is not an integral multiple of π/2 then Cot4 θ+ Cot2 θ=? Cosec<sup>4</sup>&nbsp;θ -Cosec<sup>2&nbsp;</sup>θ Tan&nbsp;θ - Tan<sup>2</sup>&nbsp;θ Cosec<sup>2</sup>&nbsp;θ + Cosec&nbsp;θ Sinθ Cosθ
6 If in isosceles right angled triangle one side is a then hypotenuse is a√2 a/2 a Cannot be determined by given
7 An angle 0 is such that tan θ = 1 and cos θ is negative then Sin&nbsp;θ is positive Cos&nbsp;θ = √2/4 cosθ = -1 sec&nbsp;θ is negative
8 If sin θ= 3/5 Cos θ= 1/2 3/5 4/5 1
9 The associative angle of 280o is 100<sup>o</sup> 10<sup>o</sup> 80<sup>o</sup> -80<sup>o</sup>
10 An angle of one radian is equivalent to 90<sup>o</sup> 60<sup>o</sup> 67<sup>o</sup> 57<sup>o</sup>, 18<sup>o</sup>
11 1+2+3+......+n=? n(n +1)/2 n +1/2 n(n +1)(2n +1)/6 n<sup>3</sup>
12 There are 30 Red balls and 25 Green balls in a bag of a ball is drawn from the bag randomly what is the probability that a Blue ball comes out? 1 0.5 0 None
13 There are 30 Red, 20 Green and some Blue bells in a bag if the probability of finding a Red ball is 1/3,how many are red balls in the bag 120 20 40 90
14 Given eight points in a plane no three of which are collinear how many lines do the points determine? 16 64 28 36
15 How many different arrangements of the letters in the word QABABA are Possible? 720 40 60 30
16 Corola available in 5 models 8 colours and 3 sizes how many Corola must a local dealer have no hand in order to have one of each kind avialable? 24 120 16 39
17 How many elements are in the sample space of two rolling dies 6 12 18 36
18 A standard deck of 52 cards shuffled what is the probability of choosing the queen of the diamonds 1/5 1/13 5/52 1/52
19 If P(E) is the probability that can event will occur then P(E)= 1 0.5 2 0
20 The number of ways in which 5 distinct toys can be distributed among 3 children is 3<sup>5</sup> 5<sup>3</sup> C<sup>5</sup><sub>3</sub> P<sup>5</sup><sub>3</sub>
21 The number of diagonals of a six sided figure are 9 6 12 3
22 If Cnr, Pnr = 24:1 then r = ? 1 2 3 4
23 A die is thrown what is the probability that there is a prime number on the top? 1/2 1/3 1/6 2/3
24 If A and B are two events then P(A∪B) =? (when A and B are disjoint) P(A) - P(B) P(A) x P(B) P(A) + P(B) P(A) + P(B) -P(A∩B)
25 Two dice are rolled The number of possible out come in which at least one die shows 2 is? 5 12 11 7
26 The number of ways in which we can courier 5 packets to 10 cities is 2 x 5<sup>o</sup> 5<sup>10</sup> 10<sup>5</sup> 2<sup>10</sup>
27 The average of first 100 integers is= 50 1/2 25 1/4 100 5050
28 Sum of integers starting from to n is n(n+1)/4 n(n+1)/6 n(n+1)/2 n(n-1)/2
29 The fifth term of the sequence an = 3n - 2 is 3 -3 13 -13
30 A sequence of numbers whose reciprocals forms an arithmetic sequence is called Harmonic series Arithmetic series Harmonic sequence Geometric sequence
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