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JSTSE MVPP PREVIOUS YEAR QUESTION PAPER 2013-14

JSTSE | MVPP 2013-14 Previous Year Question Paper With Answer Keys And Solutions

Hi students, welcome to AmansMathsBlogs (AMB). On this article, you will get JSTSE MVPP 2013-14 Question Paper With Answer Keys And Solutions.

JSTSE 2013-14 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 2013-14.
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JSTSE MVPP PREVIOUS YEAR QUESTION PAPER 2013-14:

JSTSE GK Science Math Questions Paper 2013

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General Science + Mathematics

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MVPP Previous Year Question Papers 2013-14 Ques No 1:

If (a + b + c) = 0, then the value of (b + c)2/bc + (c + a)2/ca + (a + b)2/ab is

Options:

A. 0

B. 1

C. 2

D. 3

MVPP Previous Year Question Papers 2013-14 Ques No 2:

If x2 – 5x + 1 = 0, then the value of x2 + 1/x2 is

Options:

A. 20

B. 27

C. 25

D. -25

MVPP Previous Year Question Papers 2013-14 Ques No 3:

Factors of (3m2 – 2m)(6 – 3m2 + 2m) – 5 are 

Options:

A. (3m + 1)(3m – 5)(m – 1)(m + 1)

B. –(3m + 1)(3m – 5)(m – 1)(m + 1)

C. (3m – 1)(3m + 5)(m – 1)(m + 2)

D. –(3m – 1)(3m – 5)(m – 2)(m + 1)

MVPP Previous Year Question Papers 2013-14 Ques No 4:

If (x6y-2/x-2y3)-1/2 + (x-1y2/x2y-2)-1/3 = xayb, then the value of (a + b + 1) is

Options:

A. 0

B. 2

C. -1

D. –2

MVPP Previous Year Question Paper 2013-14 Ques No 5:

In the figure, O is the centre of the circle and OA = CD, then the value of ∠CPD is

Options:

A. 45 degree

B. 30 degree

C. 70 degree

D. 60 degree

MVPP Previous Year Question Papers 2013-14 Ques No 6:

If a polygon has 27 diagonals, then the number of the sides of the polygon is

Options:

A. 9

B. 10

C. 11

D. 12

MVPP Previous Year Question Paper 2013-14 Ques No 7:

If x2 + 7ax + 40 and x2 + 2ax – 60 have a common factor, then the value of ‘a’ is

Options:

A. ±1

B. ±2

C. ±3

D. ±4

MVPP Previous Year Question Papers 2013-14 Ques No 8:

If 642x-1 = 4 x 8x-5, then the value of x is

Options:

A. 17/9

B. 17/10

C. 20/9

D. 9/17

MVPP Previous Year Question Paper 2013-14 Ques No 9:

If x = 22/3 + 21/3, then 

Options:

A. x3 – 6x – 6 = 0

B. x3 + 6x – 6 = 0

C. x3 – 6x + 6 = 0

D. x3 + 6x + 6 = 0

MVPP Previous Year Question Paper 2013-14 Ques No 10:

In the figure, the area of the shaded region is 

Options:

A. 77 cm2

B. 154 cm2

C. 38.5 cm2

D. 90 cm2

MVPP Previous Year Question Papers 2013-14 Ques No 11:

In the figure, AB = 7.8 cm BC = 5.2 cm and CA = 6.1 cm, then angles x, y and z in ascending orders are

Options:

A. x < y < z

B. x > y > z

C. y < z < x

D. x < z < y

MVPP Previous Year Question Paper 2013-14 Ques No 12:

if a = b2x, b = c3y and c = a3z, then find the value of xyz

Options:

A. 27

B. 1/27

C. 9

D. 1/9

MVPP Previous Year Question Papers 2013-14 Ques No 13:

If 12, 15, 17, 18, x+2, x+4, 25, 30, 31, 32 are in ascending order and median of the observations is 22, then the value of x is

Options:

A. 20

B. 19

C. 22

D. 23

MVPP Previous Year Question Paper 2013-14 Ques No 14:

The value of 1/(1 – x) + 1/(1 + x) + 2/(1 + x2) + 4/(1 + x4) + 8/(1 + x8) is

Options:

A. 16/(1 + x16)

B. 8/(1 – x16)

C. 16/(1 – x16)

D. 32/(1 + x18)

MVPP Previous Year Question Papers 2013-14 Ques No 15:

In the figure ABC, is an equilateral triangle of side 8 cm. Area of the shaded region is

Options:

A. 32 – 8π/3 cm2

B. 32 – 16π/3 cm2

C. 16√3 – 8π cm2 

D. 32√3 – 16π cm2

MVPP Previous Year Question Paper 2013-14 Ques No 16:

If x + y = 8, xy = 15, then the value of x4 + x2y2 + y4 is

Options:

A. 34

B. 1156

C. 931

D. 1381

MVPP Previous Year Question Papers 2013-14 Ques No 17:

The coefficient of x7 in the expansion of (x2 – x + 1)2 + (x2 + x + 1)2 is

Options:

A. 6

B. 5

C. 4

D. 3

MVPP Previous Year Question Paper 2013-14 Ques No 18:

Mean of 9 observation was found to be 35. Later it on, it was detected that an observation 80 was misread as 8. The correct mean is 

Options:

A. 43

B. 42

C. 44

D. 45

MVPP Previous Year Question Papers 2013-14 Ques No 19:

If (3√2 + 2√3)/(4√2 + 3√3) = a + b√6, then the values of a and b are

Options:

A. a = -6/5 and b = 1/5

B. a = 1/5 and b = 6/5

C. a = 6/5 and b = 1/5

D. a = 6/5 and b = -1/5

MVPP Previous Year Question Paper 2013-14 Ques No 20:

The value of 

Options:

A. 1

B. 5

C. √5

D. √8

MVPP Previous Year Question Papers 2013-14 Ques No 21:

A train of length 240 m crosses a platform in 20 seconds. If the speed of the train is 72km/hr, then the length of the platform is

Options:

A. 260 m

B. 160 m

C. 180 m

D. 240 m

MVPP Previous Year Question Paper 2013-14 Ques No 22:

If (25p + 14q)/(5p + 7q) = 8/3, then p : q is

Options:

A. 3 : 5

B. 2 : 5

C. 2 : 3

D. 5 : 4

MVPP Previous Year Question Papers 2013-14 Ques No 23:

A farmer can plough a farm in 10 days by working 5 hours a day. In how many days 5 farmers plough 10 such farms working at 5 hours a day?

Options:

A. 20 days

B. 25 days

C. 15 days

D. 24 days

MVPP Previous Year Question Paper 2013-14 Ques No 24:

The difference between the sides at right angle in a right angled triangle is 14 cm. The area of the triangle is 120 cm2. The perimeter of the triangle is 

Options:

A. 50

B. 36

C. 60

D. 34

MVPP Previous Year Question Paper 2013-14 Ques No 25:

Measure of an angle which is 18o2’10” less than its complement is  

Options:

A. 57o71’50”

B. 50o71’57”

C. 71o57’50”

D. 71o70’9”

MVPP Previous Year Question Papers 2013-14 Ques No 26:

The ratio of the volumes of two cubes is 729 : 1331. The ratio of their total surface areas is 

Options:

A. 9 : 11

B. 729 : 1331 

C. 81 : 121

D. 27 : 121

MVPP Previous Year Question Paper 2013-14 Ques No 27:

The parallel side of a trapezium are 24 cm and 20 cm. The distance between them is 7 cm. Find the radius of a circle whose area is equal to the area of the trapezium

Options:

A. 7 cm

B. 14 cm

C. 9 cm

D. 28 cm

MVPP Previous Year Question Papers 2013-14 Ques No 28:

The cost of leveling a rectangular field at the rate of 85 paise per square meter is Rs. 624.75. Find the perimeter if its sides are in the ratio 5 : 3

Options:

A. 56 cm

B. 32 cm

C. 24 cm

D. 112 cm

MVPP Previous Year Question Paper 2013-14 Ques No 29:

If x = (-23) + 22 + (-23) + 22 + … to 40 terms and y = 11 + (-10) + 11 + (-10) + … to 20 terms, then the value of (y – x)

Options:

A. 30

B. 40

C. 20

D. 10

MVPP Previous Year Question Papers 2013-14 Ques No 30:

The value of 0.235 is

Options:

A. 233/900

B. 233/990

C. 235/999

D. 235/990

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