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# JSTSE PREVIOUS YEAR QUESTION PAPER 2007-08

In this post, you will get JSTSE Previous Year Question Paper 2007-08.

**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 recognized schools of Delhi.

**Eligibility:** – Any student of recognized 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 2007-08:

## General Knowledge

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**JSTSE Previous Year Question Paper 2007-08 Ques No 1:**

Factors of (x^{2}/2) – (y^{2}/3) are

**Options:**

A. (x/Root(2) + y/Root(3))(x/Root(2) + y/Root(3))

B. (x/2 + y/3)(x/2 – y/3)

C. (x/Root(2) – y/Root(3))(x/Root(2) – y/Root(3))

D. (x/Root(2) + y/Root(3))(x/Root(2) – y/Root(3))

**JSTSE Previous Year Question Papers 2007-08 Ques No 2:**

If Root(x / (x + 3)) = 2^{-1}, then the value of x is

**Options:**

A. 1/6

B. 6

C. 1

D. 3

**JSTSE Previous Year Question Paper 2007-08 Ques No 3:**

If x + 1/x = 2, then x – 1/x is

**Options:**

A. -1

B. 0

C. 1

D. 4

**JSTSE Previous Year Question Papers 2007-08 Ques No 4:**

If Root(3) = 1.732 and Root(5) = 2.236, then the value of 6/(Root(5) – Root(3)) is

**Options:**

A. 11.904

B. 6.904

C. 3.504

D. 0.504

**JSTSE Previous Year Question Paper 2007-08 Ques No 5:**

If x = 1/ (2 – Root(3)), then the value of x^{2} – 4x + 11 is

**Options:**

A. 10.268

B. 10

C. 0.732

D. 0.268

**JSTSE Previous Year Question Papers 2007-08 Ques No 6:**

If x = 1 – Root(2), then the value of (x – 1/x)^{3} is

**Options:**

A. 8

B. 8 + Root(2)

C. 8 – Root(2)

D. 3 – Root(2)

**JSTSE Previous Year Question Paper 2007-08 Ques No 7:**

Simplification (16 x 2^{n+1} – 4 x 2^{n}) / (16 x 2^{n+2} – 2 x 2^{n+1}) is

**Options:**

A. 12n / (14n + 1)

B. 12 x 2^{n} / (14 x 2^{n+1})

C. 2/7

D. 1/2

**JSTSE Previous Year Question Papers 2007-08 Ques No 8:**

If x^{4} + 1/x^{4} = 47, then the value of x^{2} + 1/x^{2} is

**Options:**

A. 23.5

B. 12.85

C. 7

D. 6.85

**JSTSE Previous Year Question Paper 2007-08 Ques No 9:**

If f(x) = x^{3} – 6x^{2} + 2x – 4 is divided by g(x) = 3x – 1, then the remainder will be

**Options:**

A. 107/27

B. 4

C. -107/27

D. -7

**JSTSE Previous Year Question Papers 2007-08 Ques No 10:**

The factors of a – b – a^{3} + b^{3} are

**Options:**

A. a(1 – a^{2})(1 – b^{2})

B. b(1 – b^{2})(1 + a^{2})

C. (a – b)(a^{2} – ab + b^{2})

D. (a – b)(1 – a – ab – b^{2})

**JSTSE Previous Year Question Paper 2007-08 Ques No 11:**

Which of the following points does not lie on a circle whose center is at O(0, 0) and radius is 5Root(2):

**Options:**

A. (7, -1)

B. (-5, 5)

C. (5, -7)

D. (-1, 7)

**JSTSE Previous Year Question Papers 2007-08 Ques No 12:**

The graph of a equation is a line parallel to x-axis at a distance 5/2 below it. That equation is

**Options:**

A. 2x + 5 = 0

B. 2y + 5 = 0

C. y = x – 5/2

D. y = x + 5/2

**JSTSE Previous Year Question Paper 2007-08 Ques No 13:**

In the figure PQ is perpendicular to PS, PQ || SR, If angle SQR = 28 degree and angle QRT = 65 degree, then the values of x and y are

**Options:**

A. x = 37 and y = 53

B. x = 25 and y = 65

C. x = 28 and y = 62

D. x = 62 and y = 28

**JSTSE Previous Year Question Papers 2007-08 Ques No 14:**

In the figure angle ACD = 115 degree and AB = AC then angle BAC will be

**Options:**

A. 75 degree

B. 65 degree

C. 60 degree

D. 50 degree

**JSTSE Previous Year Question Paper 2007-08 Ques No 15:**

In the figure, DE = (3/4)BC, DE || BC and distance between DE and BC is 3 units. If BC is 6 units, then area of DBCE is

**Options:**

A. 9.75 sq. units

B. 13.5 sq. units

C. 15.75 sq. units

D. 18.5 sq. units

**JSTSE Previous Year Question Papers 2007-08 Ques No 16:**

In the figure, O is the center of circle and angle DAB is 50 degree, then the value of x is

**Options:**

A. 130 degrees

B. 100 degrees

C. 80 degrees

D. 50 degrees

**JSTSE Previous Year Question Paper 2007-08 Ques No 17:**

A customer have to pay for a shirt with list price Rs. 900 in a sale “50% + 30%” off

**Options:**

A. Rs. 280

B. Rs. 315

C. Rs. 350

D. Rs. 450

**JSTSE Previous Year Question Papers 2007-08 Ques No 18:**

Two numbers are in the ratio 3 : 1 and their sum is 28. In order to get the ratio of 1 : 3, then the second number have to increased by

**Options:**

A. 28

B. 35

C. 56

D. 84

**JSTSE Previous Year Question Papers 2007-08 Ques No 19:**

A metallic sheet, rectangular in shape is 56 cm long and 36 broad. From each of its corners, a square of side 8 cm is cut off and an open box is made of remaining sheet. The volume of this box is

**Options:**

A. 16128 sq. cm

B. 11520 sq. cm

C. 8960 sq. cm

D. 6400 sq. cm

**JSTSE Previous Year Question Paper 2007-08 Ques No 20:**

The following data has been arranged in ascending order 24, 27, 28, 31, 34, x, 37, 40, 42, 45. If the median of the data is 35, then the value of x is

**Options:**

A. 37

B. 36

C. 35

D. 34

**JSTSE Previous Year Question Papers 2007-08 Ques No 21:**

The value of x so that the mode of the data is 7.

3, 5, 6, 7, 5, 4, 7, 5, 6, x, 8, 7,

**Options:**

A. 5

B. 6

C. 7

D. 8

**JSTSE Previous Year Question Paper 2007-08 Ques No 22:**

The mean of 13 observation is 14. If the mean of first 7 observation is 12 and the mean of last 7 observation is 16, then the 7th observation is

**Options:**

A. 12

B. 13

C. 14

D. 16

**JSTSE Previous Year Question Papers 2007-08 Ques No 23:**

Which of the following statements is not true?

**Options:**

A. A rhombus is also a parallelogram.

B. All primes are odd.

C. In an equilateral triangle, the median is also a angle bisector.

D. For any real numbers x, x^{2} > = 0

**JSTSE Previous Year Question Paper 2007-08 Ques No 24:**

In a cyclic quadrilateral ABCD, if ∠A = 3∠C, then the value of ∠A is

**Options:**

A. 45 degrees

B. 75 degrees

C. 135 degrees

D. 145 degrees

**JSTSE Previous Year Question Papers 2007-08 Ques No 25:**

The value of (1^{-1} + 2^{-1} – 3^{-1}) / 2 is

**Options:**

A. 11/12

B. 12/11

C. 1/6

D. 2/5