practice test 11-mathematical aptitude

7/31/2019 Practice Test 11-Mathematical Aptitude

http://slidepdf.com/reader/full/practice-test-11-mathematical-aptitude 1/10

Print

Practice Test 11-Mathematical Aptitude

Domain: Class X Test Code: TST2007AT204560640 Course: Admission Test2013

Total Questions: 15 Total Time: 90 min. Maximum Marks: 55.0

Section Details:

Section 1Subjects: Class X Maths

Topics: General Topic, Quadratic Equations, Arithmetic Progression, Rational Expressions, Mensuration, Geometry

Total Questions: 10

Section 2Subjects: Class X Maths

Topics: Linear Equation in Two variables, Linear Equation in One variable, Geometry, Trigonometry

Total Questions: 5

General Instructions:1. This Test contains 15 questions spread across 2 Section(s).2. There are No Sectional Cut-Offs but the Student is expected to display his/her performance across all the sections.3. Section Wise time indicates the Ideal Time which should be given to a particular section. You are free to give more or less time thanwhat is mentioned for a Section, but the Test should be Finished within the Specified time.4. The Test is to be given in One Single Attempt. Once the Test is Started, it can't be Paused for any Breaks.5. If the Test is Not completed before the Test Time, then as soon as the Time for the Test is completed, the Test would AutomaticallyEnd and its Answer file would be generated.6. Use of Calculators and Log Tables is Not Permitted.7. Use of Unfair means during the Test is Strictly Prohibited.8. For fair Result and Performance evaluation, Please Do Not discuss the Test with your peers.

Section 1Section Title: Section 1

Total No. of Questions: 10

Subjects: Class X Maths

1. In the figure angle BAD = 30 0

and AE = AD , then the value of x is :

(A). (B).

(C). (D).

CorrectAnswer B

Explanation

Let

= x + y (By exterior angle properly)

of 10

12/22/2010http://www.100percentile.com/iitjee/testpaper.do?actionName=previewTest&testPaperId ...



2 x + y = y + 30 .

(Marks: 3.0, Negative Marks : 0.0).

2.If x, y , and z satisfy given system of equations: x 2 + y 2 + z 2 = 133, y + z - x = 7, yz = x 2 Then the value of x + y +z is:

(A). 12 (B). 15

(C). 19 (D). 0

CorrectAnswer C

Explanation

(as )

x = 6 y + z = 13, yz = 36 y = 9, z = 4.

x + y + z = 19 (Marks: 3.0, Negative Marks : 0.0).

3. If f ( x ) = x 3

+ ax + b is divisible by ( x - 1)2 , then the remainder obtained when f ( x ) is divided by ( x + 2 ) is:

(A). (B). 1

(C). can't be determined (D). 0

CorrectAnswer D

Explanation

Coefficient of x 2 = 0 d = 2

. (Marks: 3.0, Negative Marks : 0.0).

4.

of 10




C 1and C 2 are two concentric circles with radii 5 and respectively. If A, B and C are points on C 2 such that

AB and AC are tangents to C 1 , the angles of the ABC are :

(A). (B).

(C). (D).

CorrectAnswer C

Explanation OE = 5 and OA =

Also


5. If three one rupee coins can be placed around a ten-paise coin such that each one rupee coin touches the tenpaise coin as well as the other two one-rupee coins, the ratio of the radii of the one rupee and ten paise coin is :

(A). (B).

(C). (D).

CorrectAnswer C

Explanation

of 10




Let radius of one rupee coin R, and radius of ten paise coin be 'r'.

.(Marks: 3.0, Negative Marks : 0.0).

6. 25 trees are planted in a straight line 5 metre apart from each other. To water them the gardener must bringwater for each tree separately from a well 10 metre from the first tree in line with the trees. The distance he willmove in order to water all the trees beginning with the first if he starts from the well is :

(A). 3570 (B). 3370

(C). 3630 (D). 3530

CorrectAnswer B

Explanation

= 3370. (Marks: 3.0, Negative Marks : 0.0).

7. A solid cube whose edges are 12 cm each, has been cut by a plane such that the plane bisects three edgesmeeting at a corner. The surface area of the remaining part of the cube after the small piece is removed will be :

(A). (B).

(C). (D).

CorrectAnswer D

Explanation

= .


of 10




8. If are the roots of x 2 - px + q = 0, then the value of p 2 is :

(A). q (q + 2) (B). q (q - 2)

(C). q (q + 4) (D). q (q + 6)

CorrectAnswer A

Explanation


9. Increasing the radius of a cylinder by 6 units increases the volume by ' y' cubic units. Increasing the altitude of thecylinder by 6 units also increases the volume by ' y' cubic units. If the original altitude is 2, then the original radiuswas :

(A). 5 (B). 6

(C). 4 (D). 3

CorrectAnswer B

Explanation

Let the initial radius be r . Now the height of cylinder, h = 2

.


10. The ratio of the area of the largest triangle that can be inscribed in a circle of radius 7 cm to the area of the

largest triangle that can be inscribed in a semicircle of radius 7 cm is :

(A). (B).

(C). (D). None of these

CorrectAnswer B

of 10




Explanation

Required ratio =


Section 2Section Title: Section 2

Total No. of Questions: 5

Subjects: Class X Maths

11. A, B, C are three towns forming a triangle. A man has to walk from one town to the next town, then ride to thenext, and then again drive towards his starting point. He can walk, ride, and drive a km in a, b, c minutesrespectively. If he starts from B, he takes a + c - b hours, if he starts from C, he takes b + a - c hours, and if hestarts from A, he takes c + b - a hours. The length of the triangle is : (Assume the motion to be anticlockwise)

(A). 60 a (B). 50 a

(C). 40 a (D). 65 a

CorrectAnswer A

Let x be the distance between A & B, y be the distance between A & C and z be distancebetween B & C and let the speed of man while walking, riding and driving be 60 km/hr,

of 10




Explanation

Adding (i), (ii), (iii)

x + y + z = 60 a . (Marks: 5.0, Negative Marks : 0.0).

12. Points X and Y are on sides BC and CD of square ABCD , as shown in the figure. The lengths of XY , AX and AY are 3, 4 and 5 units respectively. Then the side length of square ABCD is:

(A). (B).


CorrectAnswer B

Explanation

AB = BC , AB = BX + XC

of 10





13. The angles of elevation of a bird flying in a horizontal straight line from a fixed point at four successiveobservations are , the observations being taken at equal intervals of time. Assuming that the

speed of the bird is uniform, and then the value of A is:

(A). (B).

(C). (D).

CorrectAnswer A

Explanation

........(i)

.......(ii)

Squaring and subtracting (i) & (ii)


14.

In the figure, are one-third of their respective sides. It follows that =3 : 3 : 1 and similarly for lines BE and CF . Then the area of triangle N 1 N 2 N 3. in term of is :

of 10




(A). (B).


CorrectAnswer C

Explanation

=


15. Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r . PS and RQ intersect at apoint X on the circumference of the circle. If PQ = 9 and RS = 4 , then the diameter of the circle is :

(A). 6 (B). 5 (C). 4 (D). 3

CorrectAnswer A

of 10




Explanation

PR = 6. (Marks: 5.0, Negative Marks : 0.0).

of 10

practice test 11-mathematical aptitude

Documents