# JSTSE PREVIOUS YEAR QUESTION PAPER 2008-09

In this post, you will get JSTSE Previous Year Question Paper 2008-09.

**Junior Science Talent Search Examination (JSTSE)**

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 recognised 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.

**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 2008-09:

## General Knowledge

**Click Here TO Download This File**

## General Science + Mathematics

**JSTSE Previous Year Question Papers 2008-09 Ques No 1:**

If x = 2^{1/3} + 2^{2/3}, then the value of x^{3} will be

**Options:**

A. 6 + 6x

B. 8

C. 6

D. 6x

**JSTSE Previous Year Question Papers 2008-09 Ques No 2:**

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

**Options:**

A. 64

B. 48

C. 38

D. 0

**JSTSE 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

**JSTSE Previous Year Question Papers 2008-09 Ques No 4:**

On simplifying [(a^{2} – b^{2})^{3} + (b^{2} – c^{2})^{3} + (c^{2} – a^{2})^{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)

**JSTSE 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

**JSTSE Previous Year Question Papers 2008-09 Ques No 6:**

If R_{1} and R_{2} are the remainders when polynomials x^{3} + 2x^{2} – 5ax – 7 and x^{3} + ax^{2} – 12x + 6 are divided by x + 1 and x – 2 respectively, If R_{1} – R_{2} = 0, then the value of a is

**Options:**

A. -4

B. -1

C. 13

D. -13

**JSTSE Previous Year Question Papers 2008-09 Ques No 7:**

If x, y, z, are positive real numbers, then the value of √(x^{-1}y) √(y^{-1}z) √(z^{-1}x) will be

**Options:**

A. xyz

B. x^{-1}y^{-1}z^{-1}

C. 1

D. 0

**JSTSE 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

**JSTSE 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

**JSTSE 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

**JSTSE 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 cm^{2}, then the value of ar(∆BDE) is

**Options:**

A. 13.33 cm^{2}

B. 20 cm^{2}

C. 10 cm^{2}

D. None of these

**JSTSE 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)

**JSTSE 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

**JSTSE 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 cm^{2}

B. 20 cm^{2}

C. 40 cm^{2}

D. 40√5 cm^{2}

**JSTSE 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

**JSTSE 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

**JSTSE 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

**JSTSE 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

**JSTSE 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

**JSTSE 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 cm^{3}

B. 2250 cm^{3}

C. 3000 cm^{3}

D. None of these

**JSTSE 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

**JSTSE 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

**JSTSE 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

**JSTSE 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

**JSTSE 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