JSTSE | MVPP 2009-10 Previous Year Question Paper With Answer Keys And Solutions
Hi students, welcome to AmansMathsBlogs (AMB). On this article, you will get JSTSE MVPP 2009-10 Question Paper With Answer Keys And Solutions.
JSTSE 2009-10 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 2009-10.
JSTSE MVPP PREVIOUS YEAR QUESTION PAPER 2009-10:
General Knowledge
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General Science + Mathematics
MVPP Previous Year Question Papers 2009-10 Ques No 1:
The decimal expansion of 17/3125 will be
Options:
A. Terminating
B. Non-Terminating
C. Non-Terminating Repeating
D. None of the Above
MVPP Previous Year Question Papers 2009-10 Ques No 2:
If x + 1/x = 4, then the value of x3 + 1/x3 will be
Options:
A. 54
B. 52
C. 32
D. 12
MVPP Previous Year Question Papers 2009-10 Ques No 3:
If x = 1/(2 – √3), then the value of (x2 – 4x – √3) will be
Options:
A. 1 – √3
B. -1 + √3
C. -1 – √3
D. 2 + √3
MVPP Previous Year Question Papers 2009-10 Ques No 4:
Simplifying (2n + 2n-1) / (2n+1 – 2n) will be
Options:
A. 1/2
B. 3/2
C. (1/2)(2n – 1)
D. (3/2)(2n + 1)
MVPP Previous Year Question Papers 2009-10 Ques No 5:
If both x – 2 and x – 1/2 are factors of px2 + 5x + r then
Options:
A. p = r
B. p > r
C. p < r
D. none of the above
MVPP Previous Year Question Papers 2009-10 Ques No 6:
If f(x) = ax2 + bx + c has no real roots and a + b + c < 0, then
Options:
A. c = 0
B. c > 0
C. c < 0
D. none of the above
MVPP Previous Year Question Papers 2009-10 Ques No 7:
In the following diagram, the graph of the polynomial f(x) = ax2 + bx + c is shown, then
Options:
A. a < 0, b < 0 and c > 0
B. a < 0, b < 0 and c < 0
C. a < 0, b > 0 and c > 0
D. a < 0, b > 0 and c < 0
MVPP Previous Year Question Papers 2009-10 Ques No 8:
If am ≠ bl, then the system of the equations: ax + by = c and lx + my = n
Options:
A. has infinitely many solutions
B. has no solutions
C. has a unique solution
D. may or may or not have a solution
MVPP Previous Year Question Papers 2009-10 Ques No 9:
If a and b can take values 1, 2, 3, 4, then the number of equations of the form ax2 + bx + 1 = 0 having real roots
Options:
A. 12
B. 10
C. 7
D. 6
MVPP Previous Year Question Papers 2009-10 Ques No 10:
The first and last term of an AP are a and l respectively. If S is the sum of all terms of AP and common difference is given by (l2 – a2)/[k – (l + a)], then the value of k will be
Options:
A. S
B. 2S
C. 3S
D. None of above
MVPP Previous Year Question Papers 2009-10 Ques No 11:
The value of tan1°tan2°tan3°tan4°….tan89° is
Options:
A. 1
B. -1
C. 0
D. None of above
MVPP Previous Year Question Papers 2009-10 Ques No 12:
The value of (1 + tan2θ)/(1 + cot2θ) is
Options:
A. sec2θ
B. -1
C. cot2θ
D. tan2θ
MVPP Previous Year Question Papers 2009-10 Ques No 13:
The ratio of the length of the pole and its shadow is 1 : √3. The angle of elevation of the Sun is
Options:
A. 90°
B. 60°
C. 45°
D. 30°
MVPP Previous Year Question Papers 2009-10 Ques No 14:
The distance between the points (cosθ, sinθ) and (sinθ, -cosθ) is:
Options:
A. √3
B. √2
C. 2
D. 1
MVPP Previous Year Question Papers 2009-10 Ques No 15:
A triangular region is formed in the first quadrant by the line y = 2, x = 6 and y = x. The area of this triangular region is
Options:
A. 4 sq units
B. 6 sq units
C. 8 sq units
D. 18 sq units
MVPP Previous Year Question Papers 2009-10 Ques No 16:
If D, E, F are mid points of sides BC, CA and AB respectively of ∆ABC, then the ratio of areas the triangle DEF and ABC will be
Options:
A. 1 : 4
B. 1 : 2
C. 2 : 3
D. 4 : 5
MVPP Previous Year Question Papers 2009-10 Ques No 17:
In the figure, if AD, AE and BC are tangents to the circle at D, E and F respectively, then
Options:
A. AD = AB + BC + CA
B. 2AD = AB + BC + CA
C. 3AD = AB + BC + CA
D. None of above
MVPP Previous Year Question Papers 2009-10 Ques No 18:
A solid is hemispherical at bottom and conical above. If the surface area of two parts are equal, then the ratio of its radius and its slant height of its conical part is
Options:
A. 1 : 3
B. √3 : 1
C. 1 : √3
D. 1 : 1
MVPP Previous Year Question Papers 2009-10 Ques No 19:
A number is selected from numbers 1 to 27. The probability that it is a prime is:
Options:
A. 5/6
B. 1/6
C. 2/3
D. 1/3
MVPP Previous Year Question Papers 2009-10 Ques No 20:
In the given figure, AB = BC = 7 cm and DE = 2 cm, then the shaded area of the figure is
Options:
A. 22.5 cm2
B. 38.5 cm2
C. 17.5 cm2
D. None of above
MVPP Previous Year Question Papers 2009-10 Ques No 21:
In the given figure, O is the centre of the circle, then the value of x is
Options:
A. 43°
B. 65°
C. 108°
D. 115°
MVPP Previous Year Question Papers 2009-10 Ques No 22:
AD is the median of ∆ABC and DE is the median of ∆ABD. If area of ∆ABC is 80 cm2, then the area of ACDE is
Options:
A. 66.3 cm2
B. 60 cm2
C. 40 cm2
D. None of above
MVPP Previous Year Question Papers 2009-10 Ques No 23:
If 29x = 1, then x will be
Options:
A. Non Negative Integer
B. 0
C. Not Defined
D. None of above
MVPP Previous Year Question Papers 2009-10 Ques No 24:
In the figure, AB = CD and ∠ABO = 50 degree then ∠COD is
Options:
A. 50°
B. 60°
C. 75°
D. 80°
MVPP Previous Year Question Papers 2009-10 Ques No 25:
In the figure, OM ⊥ AB, O is centre, then AB is
Options:
A. 5 cm
B. 6 cm
C. 9 cm
D. 10 cm
