# JSTSE | MVPP 2012-13 Previous Year Question Paper With Answer Keys And Solutions

Hi students, welcome to **AmansMathsBlogs (AMB)**. On this article, you will get **JSTSE MVPP 2012-13 Question Paper With Answer Keys And Solutions**.

**JSTSE 2012-13** 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 2012-13.

**Read More :** **129 Maths Short Tricks**

## JSTSE MVPP PREVIOUS YEAR QUESTION PAPER 2012-13:

## General Knowledge

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## General Science + Mathematics

**MVPP Previous Year Question Papers 2012-13 Ques No 1:**

If 6/(3√2 – 2√3) = 3√2 – a√6, then the value of a is

**Options:**

A. √2

B. –√2

C. 2√3

D. -2√3

**MVPP Previous Year Question Paper 2012-13 Ques No 2:**

The value of (x + y)^{-1}(x^{-1} + y^{-1}) is

**Options:**

A. 1

B. (x + y)^{-2}

C. x^{-1}y^{-1}

D. (xy)^{-1}(x + y)^{-1}

**MVPP Previous Year Question Papers 2012-13 Ques No 3:**

Which of the following is equal to x?

**Options:**

A. x^{11/7} – x^{4/7}

B. (x^{11/7})(x^{4/7})

C. ^{12}√(x^{4})^{1/3}

D. (√x^{4})^{1/2}

**MVPP Previous Year Question Paper 2012-13 Ques No 4:**

In the figure, AB and CD intersect at O. The value of x is

**Options:**

A. 32

B. 42

C. 48

D. 96

**MVPP Previous Year Question Papers 2012-13 Ques No 5:**

In the figure, AB = BD and AD = DC, then ∠BAC : ∠ACB is

**Options:**

A. 1 : 2

B. 2 : 1

C. 1 : 3

D. 3 : 1

**MVPP Previous Year Question Paper 2012-13 Ques No 6:**

The perimeter of an equilateral triangle is 60 m. Then its area will be

**Options:**

A. 5√3 m^{2}

B. 25√3 m^{2}

C. 100√3 m^{2}

D. 200√3 m^{2}

**MVPP Previous Year Question Papers 2012-13 Ques No 7:**

Area of rhombus whose one side is 13 cm and one of the diagonals is 10 cm is

**Options:**

A. 36 m^{2}

B. 52 m^{2}

C. 60 m^{2}

D. 120 m^{2}

**MVPP Previous Year Question Paper 2012-13 Ques No 8:**

ABCDE is a pentagon inscribed in a circle with center O. Then the value of ∠ABC + ∠CDE will be

**Options:**

A. 108 degree

B. 180 degree

C. 270 degree

D. 360 degree

**MVPP Previous Year Question Papers 2012-13 Ques No 9:**

The area of the shaded region is

**Options:**

A. 154 cm^{2}

B. 231 cm^{2}

C. 462 cm^{2}

D. 616 cm^{2}

**MVPP Previous Year Question Paper 2012-13 Ques No 10:**

Square piece of side 2 cm are cut off from each corner of a square sheet of side 9 cm. The flaps of the sheet so formed are folded to form an open box. The volume of the box is

**Options:**

A. 20 cm^{3}

B. 28 cm^{3}

C. 50 cm^{3}

D. 98 cm^{3}

**MVPP Previous Year Question Papers 2012-13 Ques No 11:**

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

**Options:**

A. 0

B. -2√3

C. 3√3

D. 6√3

**MVPP Previous Year Question Paper 2012-13 Ques No 12:**

If the polynomial (ax^{3} + 4x^{2} + 3x – 4) and (x^{3} – 4x + a) leave the same remainder when divided by (x – 3) then the value of ‘a’ is

**Options:**

A. 1

B. -1

C. 19/14

D. -5/14

**MVPP Previous Year Question Papers 2012-13 Ques No 13:**

In a square PQRS, if P(1, 0), Q(4, 0) and S(1, 3) then the coordinates of point R will be

**Options:**

A. (4, 1)

B. (4, 4)

C. (3, 4)

D. (4, 3)

**MVPP Previous Year Question Paper 2012-13 Ques No 14:**

In the figure, if O is the center of the circle, then ∠TRQ is

**Options:**

A. 25 degree

B. 35 degree

C. 45 degree

D. 70 degree

**MVPP Previous Year Question Papers 2012-13 Ques No 15:**

The edges of a triangular board are 50 cm, 120 cm, 130 cm. The cost of painting it at the rate of Rs 900 per m^{2} is

**Options:**

A. Rs. 27

B. Rs. 270

C. Rs. 540

D. Rs. 27000

**MVPP Previous Year Question Paper 2012-13 Ques No 16:**

Mean of all factors of 18 is

**Options:**

A. 4.25

B. 5.0

C. 6.5

D. 7.6

**MVPP Previous Year Question Papers 2012-13 Ques No 17:**

In the figure, if O is the center of the circle, then the value of x is

**Options:**

A. 15

B. 30

C. 45

D. 60

**MVPP Previous Year Question Paper 2012-13 Ques No 18:**

The distance of a point from the x-axis and the y-axis are 5 and 4 respectively. The coordinates of the point can be

**Options:**

A. (5, 4)

B. (5, 0)

C. (0, 4)

D. (4, 5)

**MVPP Previous Year Question Papers 2012-13 Ques No 19:**

The volume of the two spheres is in the ratio of 125 : 64. Then the ratio of their surface areas will be

**Options:**

A. 5 : 4

B. 25 : 16

C. 16 : 25

D. 125 : 64

**MVPP Previous Year Question Paper 2012-13 Ques No 20:**

In the figure, PS bisects angle P, PQ, QS, SR are in the ascending order are

**Options:**

A. QS, PQ, SR

B. QS, SR, PQ

C. PQ, QS, SR

D. SR, PQ, QS

**MVPP Previous Year Question Papers 2012-13 Ques No 21:**

The mean marks of boys and girls in an examination are 60 and 65 respectively. If the mean marks of all the students in that examination is 62, then the ratio of the number of boys to that the number of girls is

**Options:**

A. 2 : 3

B. 3 : 2

C. 122 : 127

D. 5 : 62

**MVPP Previous Year Question Paper 2012-13 Ques No 22:**

In the figure, AB || PQ and CD || PS, then ∠QPR is

**Options:**

A. 30 degree

B. 42 degree

C. 52 degree

D. 108 degree

**MVPP Previous Year Question Papers 2012-13 Ques No 23:**

Autorikshaw fare in a city is Rs. 20 for first two kilometer and Rs. 6 per kilometer for subsequent distances covered. Taking the distance covered as x km and total fare as Rs. y, the linear equation in which expresses the above statement is

**Options:**

A. y = 6x + 8

B. y = 6x – 8

C. y = 6x + 20

D. y = 6x + 28

**MVPP Previous Year Question Paper 2012-13 Ques No 24:**

If an angle is 24 degree more than half of its complement then the angle is

**Options:**

A. 14 degree

B. 38 degree

C. 46 degree

D. 76 degree

**MVPP Previous Year Question Papers 2012-13 Ques No 25:**

20 circular plates each of radius 14 cm and thickness is 2 cm are placed one above the other to form a cylinderical solid. The total surface area will be

**Options:**

A. 2992 cm^{2}

B. 3520 cm^{2}

C. 4752 cm^{2}

D. 24640 cm^{2}

**MVPP Previous Year Question Paper 2012-13 Ques No 26:**

ABCD is a parallelogram with AB = (2x + 6) cm, BC = 8 cm and CD = (x + 8) cm. The perimeter of the parallelogram ABCD is

**Options:**

A. 12 cm

B. 20 cm

C. 28 cm

D. 36 cm

**MVPP Previous Year Question Papers 2012-13 Ques No 27:**

For the data (2, 9, x + 6, 2x + 3, 5, 10, 5) if mean is 7, then mode is

**Options:**

A. 3

B. 5

C. 9

D. 10

**MVPP Previous Year Question Papers 2012-13 Ques No 28:**

ABCD is a rhombus in which altitude from D to side AB bisects AB. Then angle D of the rhombus is

**Options:**

A. 60 degree

B. 90 degree

C. 120 degree

D. 135 degree

**MVPP Previous Year Question Paper 2012-13 Ques No 29:**

From the data (1, 4, 7, 16, 27, 29) if 29 is removed, probability of getting a prime number is

**Options:**

A. 1/2

B. 1/5

C. 2/5

D. 1/3

**MVPP Previous Year Question Papers 2012-13 Ques No 30:**

PQRS is a square. T and U are respectively the mid-points of PS and QR. If O is the point of intersections of TU and QS and PQ = 8 cm, then area of ∆OTS is

**Options:**

A. 4 cm^{2}

B. 8 cm^{2}

C. 12 cm^{2}

D. 16 cm^{2
}