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JSTSE MVPP PREVIOUS YEAR QUESTION PAPER 2007-08

JSTSE | MVPP 2007-08 Previous Year Question Paper With Answer Keys And Solutions

Hi students, welcome to AmansMathsBlogs (AMB). On this article, you will get JSTSE MVPP 2007-08 Question Paper With Answer Keys And Solutions.

JSTSE 2007-08 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 2007-08.

JSTSE MVPP PREVIOUS YEAR QUESTION PAPER 2007-08:

General Knowledge

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General Science + Mathematics

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MVPP Previous Year Question Paper 2007-08 Ques No 1:

Factors of (x2/2) – (y2/3) 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))

MVPP 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

MVPP 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

MVPP 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

MVPP Previous Year Question Paper 2007-08 Ques No 5:

If x = 1/ (2 – Root(3)), then the value of x2 – 4x + 11 is 

Options:

A. 10.268

B. 10

C. 0.732

D. 0.268

MVPP Previous Year Question Papers 2007-08 Ques No 6:

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

jsts-gk-science-mathematice-2007-08.jpg

Options:

A. 8

B. 8 + Root(2)

C. 8 – Root(2)

D. 3 – Root(2)

MVPP Previous Year Question Paper 2007-08 Ques No 7:

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

Options:

A. 12n / (14n + 1)

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

C. 2/7

D. 1/2

MVPP Previous Year Question Papers 2007-08 Ques No 8:

If x4 + 1/x4 = 47, then the value of x2 + 1/x2 is

Options:

A. 23.5

B. 12.85

C. 7

D. 6.85

MVPP Previous Year Question Paper 2007-08 Ques No 9:

If f(x) =  x3 – 6x2 + 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

MVPP Previous Year Question Papers 2007-08 Ques No 10:

The factors of a – b – a3 + b3 are 

Options:

A. a(1 – a2)(1 – b2)

B. b(1 – b2)(1 + a2)

C. (a – b)(a2 – ab + b2)

D. (a – b)(1 – a – ab – b2)

MVPP 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)

MVPP 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

MVPP 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

MVPP 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

MVPP 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

MVPP 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

MVPP 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

MVPP 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

MVPP 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

MVPP 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

MVPP 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

MVPP 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

MVPP 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, x2 > = 0

MVPP 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

MVPP 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

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