JSTSE | MVPP 2008-09 Previous Year Question Paper With Answer Keys And Solutions
Hi students, welcome to AmansMathsBlogs (AMB). On this article, you will get JSTSE MVPP 2008-09 Question Paper With Answer Keys And Solutions.
JSTSE 2008-09 is an exam that is conducted by science branch of the Directorate of Education, Government of Delhi. This exam is scheduled in Dec or Jan month of the session in every year. From 2021, JSTSE (Junior Science Talent Search Examination) is now known as MVPP (Mukhyamantri Vigyan Pratibha Pariksha).
In this post, you will get JSTSE / MVPP Previous Year Question Paper 2008-09.
JSTSE MVPP PREVIOUS YEAR QUESTION PAPER 2008-09:
General Knowledge
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General Science + Mathematics
MVPP Previous Year Question Papers 2008-09 Ques No 1:
If x = 21/3 + 22/3, then the value of x3 will be
Options:
A. 6 + 6x
B. 8
C. 6
D. 6x
MVPP Previous Year Question Papers 2008-09 Ques No 2:
If x + 1/x = 4, then the value of x3 – x2 – 1/x3 – 1/x2 will be
Options:
A. 64
B. 48
C. 38
D. 0
MVPP Previous Year Question Papers 2008-09 Ques No 3:
On evaluating (1.1)3 – (0.7)3 – (0.4)3, we get
Options:
A. 0
B. 0.924
C. 1.174
D. 8.8
MVPP Previous Year Question Papers 2008-09 Ques No 4:
On simplifying [(a2 – b2)3 + (b2 – c2)3 + (c2 – a2)3] / [(a – b)3 + (b – c)3 + (c – a)3]
Options:
A. 0
B. 3(a + b)(b + c)(c + a)
C. 3(a – b)(b – c)(c – a)
D. (a + b)(b + c)(c + a)
MVPP Previous Year Question Papers 2008-09 Ques No 5:
(0.83 x 0.83 x 0.83 + 0.17 x 0.17 x 0.17) / (0.83 x 0.83 – 0.83 x 0.17 + 0.17 x 0.17) =
Options:
A. 0
B. 1
C. (0.83 – 0.17)3
D. 0.83 + 0.83 x 0.17
MVPP Previous Year Question Papers 2008-09 Ques No 6:
If R1 and R2 are the remainders when polynomials x3 + 2x2 – 5ax – 7 and x3 + ax2 – 12x + 6 are divided by x + 1 and x – 2 respectively, If R1 – R2 = 0, then the value of a is
Options:
A. -4
B. -1
C. 13
D. -13
MVPP Previous Year Question Papers 2008-09 Ques No 7:
If x, y, z, are positive real numbers, then the value of √(x-1y) √(y-1z) √(z-1x) will be
Options:
A. xyz
B. x-1y-1z-1
C. 1
D. 0
MVPP Previous Year Question Papers 2008-09 Ques No 8:
If 1/x = 2, 1/y = 3, 1/z = 4, then the value of (x-2 + y-2 + z-2)-1 will be
Options:
A. (1/9)-1
B. (1/19)-1
C. (1/29)-1
D. 1/29
MVPP Previous Year Question Papers 2008-09 Ques No 9:
In the given figure, AB || CD, ∠EAB = 120 degree and ∠ECB = 100 degree. Then the value of ∠AEC is
Options:
A. 140 degree
B. 120 degree
C. 100 degree
D. 20 degree
MVPP Previous Year Question Papers 2008-09 Ques No 10:
The bisector of base angles ∠B and ∠C of a ∆ABC encloses an angle of 135 degree, then angle A will be
Options:
A. 45 degrees
B. 62.5 degrees
C. 90 degrees
D. None of these
MVPP Previous Year Question Papers 2008-09 Ques No 11:
AD is the median of ∆ABC and DE is median of ∆ABD. If ar(∆ABC) = 40 cm2, then the value of ar(∆BDE) is
Options:
A. 13.33 cm2
B. 20 cm2
C. 10 cm2
D. None of these
MVPP Previous Year Question Papers 2008-09 Ques No 12:
ABCD is a parallelogram X and Y are mid points of BC and CD respectively, then the ar(∆CYX) will be
Options:
A. (1/4) ar(ABCD)
B. (3/4) ar(ABCD)
C. (1/8) ar(ABCD)
D. (3/8) ar(ABCD)
MVPP Previous Year Question Papers 2008-09 Ques No 13:
In a parallelogram ABCD, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm, and CF = 10 cm, then AD will be
Options:
A. 12.8 cm
B. 20 cm
C. 18 cm
D. 5 cm
MVPP Previous Year Question Papers 2008-09 Ques No 14:
In the given figure, OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If OE = 2√5, then the area of rectangle is
Options:
A. 20√5 cm2
B. 20 cm2
C. 40 cm2
D. 40√5 cm2
MVPP Previous Year Question Papers 2008-09 Ques No 15:
If two concentric circle with centre O have A, B, C, D as points of intersections with L as shown in figure, If AD = 14 cm, BC = 10 cm, then the value of AB will be
Options:
A. 2 cm
B. 4 cm
C. 5 cm
D. 7 cm
MVPP Previous Year Question Papers 2008-09 Ques No 16:
An equilateral triangle of side 9 cm is inscribed in a circle. The inradius of the circle is
Options:
A. 9 cm
B. 4.5 cm
C. 3√3 cm
D. 3 cm
MVPP Previous Year Question Papers 2008-09 Ques No 17:
In the figure, O is the centre of the circle ∠OAB = 20 degree and ∠OCB = 55 degree, then ∠BOC will be
Options:
A. 55 degree
B. 70 degree
C. 75 degree
D. 95 degree
MVPP Previous Year Question Papers 2008-09 Ques No 18:
In the figure, O is the centre of the circle. The value of ∠CBD is
Options:
A. 100 degree
B. 75 degree
C. 50 degree
D. 80 degree
MVPP Previous Year Question Papers 2008-09 Ques No 19:
In the figure, O is the centre of the circle. ACBO is a parallelogram, then the value of x is
Options:
A. 90 degree
B. 2y
C. (180 – y) degree
D. 120 degree
MVPP Previous Year Question Papers 2008-09 Ques No 20:
A metallic sheet of the rectangular shape with dimension 35 cm x 20 cm. From each one of its corner, a square of 5 cm is cut off and open box is made of remaining sheet. The volume of the box is
Options:
A. 1250 cm3
B. 2250 cm3
C. 3000 cm3
D. None of these
MVPP Previous Year Question Papers 2008-09 Ques No 21:
A semi-circular sheet of metal of diameter 28 cm is bent into on open conical cup. The depth of the cup is
Options:
A. 14 cm
B. 14√3 cm
C. 7 cm
D. 7√3 cm
MVPP Previous Year Question Papers 2008-09 Ques No 22:
The following observation have been arranged in ascending order 29, 32, 48, 50, x, x+2, 72, 78, 84, 95. If median of the data is 63. Then the value of x is
Options:
A. 61
B. 62
C. 63
D. 64
MVPP Previous Year Question Papers 2008-09 Ques No 23:
If M is the mean of n observations x1, x2, x3, …, xn, then the value of
Options:
A. 0
B. 1
C. M
D. 2M
MVPP Previous Year Question Papers 2008-09 Ques No 24:
If the mean of 10 observations is 61.4 and median is 63, then the mode will be
Options:
A. 63
B. 64.6
C. 66.2
D. 62.2
MVPP Previous Year Question Papers 2008-09 Ques No 25:
The percentage of marks obtained by a students in the monthly unit test are given below. The probability that the students gets at least 60% marks is
Options:
A. 0
B. 2/3
C. 3/5
D. 4/5
