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Practice Test 02-Mathematical Aptitude
Domain: Class X Test Code: TST2007AT204532631 Course:Admission Test
Total Questions: 15 Total Time: 90 min. Maximum Marks: 55.0
Section Details:
Section 1
Subjects: Class X Maths
Topics: Polynomial, Arithmetic Progression, Linear Equation in Two variables, Mensuration, Trigonometry
Total Questions: 10
Section 2
Subjects: Class X Maths
Topics: General Topic, Arithmetic Progression, Linear Equation in Two variables, Mensuration
Total Questions: 5
Section 1Section Title: Section 1
Total No. of
Questions:10
Subjects:Class X Maths
1. If are the zeroes of polynomial then the value of is :
(A). (B).
(C). (D).
CorrectAnswer
B
Explanation
Now
(Marks: 3.0, Negative Marks : 0.0).
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2. If zeroes of are in AP, then
(A). (B).
(C). (D). None of these
CorrectAnswer
A
Explanation
Let are zeroes
Now sum of all the roots
is one zero of the polynomial
Now replace byp
(Marks: 3.0, Negative Marks : 0.0).
3. If and represent coincident lines, then a and b satisfy the equation ?
(A). (B).
(C). (D).
CorrectAnswer
C
Explanation
We know that when lines are coincident lines then
From (1) and (3)
(Marks: 3.0, Negative Marks : 0.0).
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Let denote the sum ofn terms of an AP whose first term is a. If common difference dis given by
, then kis :
(A). 1 (B). 2
(C). 3 (D). None of these
CorrectAnswer
B
Explanation
(Marks: 3.0, Negative Marks : 0.0).
5. If is the sum of an AP of 'n' odd number of terms and be the sum of the terms of series in odd places of
the same AP then
(A). (B).
(C). (D).
CorrectAnswer
A
Explanation
Ratio
(Marks: 3.0, Negative Marks : 0.0).
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4.
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6. In an AP, . Then is equal to :
(A). 0 (B).
(C). (D). pq
CorrectAnswer
B
Explanation
................. (i)
................... (ii)
Solving (i) and (ii), we get ................... (iii)
using (i), (iii)
(Marks: 3.0, Negative Marks : 0.0).
7. In an acute angled , if and . Then value ofA is :
(A). 60 (B). 52.5
(C). 67.5 (D). None of these
CorrectAnswer
A
Explanation
............. (i)
.................. (ii)
We know, In ..................... (iii)
Add (i), (ii) we get, B = 52.5, subtracting (i) from (ii), C-A = 7.5o ............... (iv)
Subtracting (iii) and (iv) we get A = 60o
(Marks: 3.0, Negative Marks : 0.0).
8. If angleA, B, Cof form an increasingAP, then Sin B =
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(A). (B).
(C). 1 (D).
Correct
AnswerB
Explanation
Let
Hence
(Marks: 3.0, Negative Marks : 0.0).
9. In a the value of is given by then the equation whose roots are sinA and tanA.
is :
(A). (B).
(C). (D).
Correct
AnswerD
Explanation
(Marks: 3.0, Negative Marks : 0.0).
10.The square root of is :
(A). (B).
(C). (D). None of these
CorrectAnswer
B
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Explanation
Square root of
(Marks: 3.0, Negative Marks : 0.0).
Section 2Section Title: Section 2
Total No. of
Questions:5
Subjects:Class X Maths
11.The value of : is :
(A). 1 (B). 0
(C). 0.1 (D). None of these
CorrectAnswer
C
Explanation
(Marks: 5.0, Negative Marks : 0.0).
12.In the system of equations the value ofxyis :
(A). (B).
(C). (D). 1
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CorrectAnswer
B
Explanation
Case (i) Case (ii)
(Marks: 5.0, Negative Marks : 0.0).
13. In the diagram if pointsA, B, Care points of tangency. Assume system is symmetrical about CD and thehorizontal lines are parallel. The value ofx is :
(A). (B).
(C). (D). None of these
CorrectAnswer
C
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Explanation
OC = 3 / 16
(Marks: 5.0, Negative Marks : 0.0).
14. Two equal parallel chords are drawn 8cm apart in a circle of radius 8cm. The area of that part of the circle thatlies between the chords is :
(A). (B).
(C). (D). None of these
CorrectAnswer
A
Explanation
In
[using ]
Hence
Area of shaded region
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[ here two symmetric regions exist]
Area ofABCD portion =
(Marks: 5.0, Negative Marks : 0.0).
15. The value of is :
(A). (B).
(C). (D). None of these
CorrectAnswer
B
Explanation
(Marks: 5.0, Negative Marks : 0.0).
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