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# JSTSE PREVIOUS YEAR QUESTION PAPER 2009-10

In this post, you will get JSTSE Previous Year Question Paper 2009-10.

Junior Science Talent Search Examination (JSTSE) is conducted by Science Branch of Dte. Of Education, Delhi every year usually in the month of January for the students of recognized schools of Delhi.

**Eligibility:** – Any student of recognised school studying in Class IX in Govt./Govt. Aided/Public/KV/Navodaya/NDMC and must have secured 65% marks in class VIII.

JSTSE | |||||||
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Previous Year Question Papers | |||||||

2007-08 | 2008-09 | 2009-10 | 2010-11 | 2011-12 | |||

2012-13 | 2013-14 | 2014-15 | 2015-16 | 2016-17 | |||

2018-19 | Physics | Chemistry | Maths | Biology |

**Examination fee:** – No examination fee is charged from students for appearing in this exam.

**Type of Examination**: – The examination consists of two papers.

**I. General Knowledge**

No. of Questions: 50 Marks : 50 Time Alloted: 50 min

50 50 50 min.

**II . General Science and Mathematics**

No. of Questions : 150 Marks : 150 Time Alloted: 150 min

**No. of Scholarships:-** There are 150 scholarships for JSTSE per year.

## JSTSE PREVIOUS YEAR QUESTION PAPER 2009-10:

## General Knowledge

**Click Here TO Download This File**

## General Science + Mathematics

**JSTSE 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

**JSTSE Previous Year Question Papers 2009-10 Ques No 2:**

If x + 1/x = 4, then the value of x^{3} + 1/x^{3} will be

**Options:**

A. 54

B. 52

C. 32

D. 12

**JSTSE Previous Year Question Papers 2009-10 Ques No 3:**

If x = 1/(2 – √3), then the value of (x^{2} – 4x – √3) will be

**Options:**

A. 1 – √3

B. -1 + √3

C. -1 – √3

D. 2 + √3

**JSTSE Previous Year Question Papers 2009-10 Ques No 4:**

Simplifying (2^{n} + 2^{n-1}) / (2^{n+1} – 2^{n}) will be

**Options:**

A. 1/2

B. 3/2

C. (1/2)(2^{n} – 1)

D. (3/2)(2^{n} + 1)

**JSTSE Previous Year Question Papers 2009-10 Ques No 5:**

If both x – 2 and x – 1/2 are factors of px^{2} + 5x + r then

**Options:**

A. p = r

B. p > r

C. p < r

D. none of the above

**JSTSE Previous Year Question Papers 2009-10 Ques No 6:**

If f(x) = ax^{2} + 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

**JSTSE Previous Year Question Papers 2009-10 Ques No 7:**

In the following diagram, the graph of the polynomial f(x) = ax^{2} + 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

**JSTSE 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

**JSTSE 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 ax^{2} + bx + 1 = 0 having real roots

**Options:**

A. 12

B. 10

C. 7

D. 6

**JSTSE 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 (l^{2} – a^{2})/[k – (l + a)], then the value of k will be

**Options:**

A. S

B. 2S

C. 3S

D. None of above

**JSTSE 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

**JSTSE Previous Year Question Papers 2009-10 Ques No 12:**

The value of (1 + tan^{2}θ)/(1 + cot^{2}θ) is

**Options:**

A. sec^{2}θ

B. -1

C. cot^{2}θ

D. tan^{2}θ

**JSTSE 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°

**JSTSE 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

**JSTSE 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

**JSTSE 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

**JSTSE 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

**JSTSE 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

**JSTSE 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

**JSTSE 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 cm^{2}

B. 38.5 cm^{2}

C. 17.5 cm^{2}

D. None of above

**JSTSE 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°

**JSTSE 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 cm^{2}, then the area of ACDE is

**Options:**

A. 66.3 cm^{2}

B. 60 cm^{2}

C. 40 cm^{2}

D. None of above

**JSTSE Previous Year Question Papers 2009-10 Ques No 23:**

If 29^{x} = 1, then x will be

**Options:**

A. Non Negative Integer

B. 0

C. Not Defined

D. None of above

**JSTSE 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°

**JSTSE 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

JSTSE | |||||||
---|---|---|---|---|---|---|---|

Previous Year Question Papers | |||||||

2007-08 | 2008-09 | 2009-10 | 2010-11 | 2011-12 | |||

2012-13 | 2013-14 | 2014-15 | 2015-16 | 2016-17 | |||

2018-19 | Physics | Chemistry | Maths | Biology |