JSTSE | MVPP 2020-21 Question Paper With Answer Keys And Solutions

Hi students, welcome to AmansMathsBlogs (AMB). On this article, you will get JSTSE MVPP 2020-21 Question Paper With Answer Keys And Solutions.

JSTSE 2020-21 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. But, due to Covid-19 in India, this year, in 2020-21 session, JSTSE is conducted on 28 March 2021 (Sunday). From 2021, JSTSE (Junior Science Talent Search Examination) is now known as MVPP (Mukhyamantri Vigyan Pratibha Pariksha).

The math questions of JSTSE MVPP 2020-21 Question Paper With Answer Keys And Solutions are solved by me, AMAN RAJ, I am maths faculty of IIT Maths Foundation course and founder of this website AmansMathsBlogs (AMB).

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JSTSE | MVPP 2020-21 MAT & SAT Question Paper

JSTSE MAT 2020-21 Answer Keys: PART – I

JSTSE SAT 2020-21 Answer Keys: PART – II

JSTSE | MVPP 2020-21 Answer Keys With Solutions (SAT-Math)

MVPP 2020-21 Question Paper With Answer Keys and Solution: Ques No 141

If x + y + z = 0, then find the value of (x4 + y⁴ + z⁴/(x²y² + y²z² + z²x²) is

Options:

1. 1/2

2. 2

3. 3xyz

4. 3x²y²z²

Answer Key: 2

Solution:

JSTSE 2020-21 Question Paper With Answer Keys and Solution: Ques No 142

If x^a = y^2b = z^3c and y² = zx, then find the value of 1/a + 1/3c is

Options:

1. b/2

2. b

3. 1/b

4. 2/b

Answer Key: 3

Solution:

MVPP 2020-21 Question Paper With Answer Keys and Solution: Ques No 143

If m = 2^1/3 + 2^-1/3, then find the value of 2m³ – 6m + 1 is

Options:

1. 6

2. 2

3. 3

4. 4

Answer Key: 1

Solution:

JSTSE 2020-21 Question Paper With Answer Keys and Solution: Ques No 144

The coefficient of p² in (p² + 2p + 3)² + (p² – 2p + 3)² is

Options:

1. 6

2. 10

3. 18

4. 20

Answer Key: 4

Solution:

MVPP 2020-21 Question Paper With Answer Keys and Solution: Ques No 145

Factorize the following : a³ + 3a²b + 3ab² + 2b³.

Options:

1. (2a + b)(a² + ab + b²)

2. (a + 2b)(a² + ab + b²)

3. (2a + b)(a² + 3ab + b²)

4. (a + 2b)(a² + 3ab + b²)

Answer Key: 2

Solution:

JSTSE 2020-21 Question Paper With Answer Keys and Solution: Ques No 146

If a = ∛64 and b = ∛65, then find the value of (a + b) – 1/(a² + ab + b²).

Options:

1. 2

2. 4

3. 8

4. 16

Answer Key: 3

Solution:

MVPP 2020-21 Question Paper With Answer Keys and Solution: Ques No 147

If 9K+2 – 240 = 9K, then the value of (18K)^K is

Options:

1. 3

2. 9

3. 3√2

4. 2√3

Answer Key: 1

Solution:

JSTSE 2020-21 Question Paper With Answer Keys and Solution: Ques No 148

If z = 3 + 3^1/3 + 3^2/3, then find the value of z³ – 9z² + 18z – 7.

Options:

1. 12

2. 10

3. 5

4. -5

Answer Key: 3

Solution:

MVPP 2020-21 Question Paper With Answer Keys and Solution: Ques No 149

If L : M : N = 2 : 3 : 4 and L² + M² + N² = 11600, then find the value of L + M – N.

Options:

1. 20

2. 60

3. 100

4. 180

Answer Key: 3

Solution:

JSTSE 2020-21 Question Paper With Answer Keys and Solution: Ques No 150

If p + q + r = 2, pq + qr + rp = -1 and pqr = -2, then find the value of p³ + q³ + r³.

Options:

1. 8

2. -8

3. 16

4. -16

Answer Key: 1

Solution:

MVPP 2020-21 Question Paper With Answer Keys and Solution: Ques No 151

If a = √2 – √6, b = √6 – √3 and c = √3 – √2, then find the value of a³ + b³ + c³ – 2abc is

Options:

1. 0

2. √2 + √3 + √6

3. 5√3 – √6 + 3√2

4. 3√2 + √6 – 4√3

Answer Key: 4

Solution:

JSTSE 2020-21 Question Paper With Answer Keys and Solution: Ques No 152

Factorize : x²y + xz² + y²z – x²z – y²x – z²y.

Options:

1. (x + y)(y + z)(z + x)

2. (x – y)(y + z)(z – x)

3. (x – y)(y – z)(z – x)

4. (x – y)(y – z)(x – z)

Answer Key: 4

Solution:

MVPP 2020-21 Question Paper With Answer Keys and Solution: Ques No 153

In the given figure, XZ = ZY = XT, then the value of x is

Options:

1. 30

2. 33

3. 49

4. 49.5

Answer Key: 2

Solution:

JSTSE 2020-21 Question Paper With Answer Keys and Solution: Ques No 154

If a + b = m and 1/a + 1/b = 1/n, then relationship in m, n and a is

Options:

1. m(a – n) = a²

2. m(a + n) = a²

3. a(m – n) = a²

4. a(m + n) = n²

Answer Key: 1

Solution:

MVPP 2020-21 Question Paper With Answer Keys and Solution: Ques No 155

If x = 0.473 (bar over 73), then find the value of x + 1.6 (bar over 6).

Options:

1. 2.140 (bar over 140)

2. 0.2140 (bar over 40)

3. 21.40 (bar over 40)

4. 2.140 (bar over 40)

Answer Key: 4

Solution:

JSTSE 2020-21 Question Paper With Answer Keys and Solution: Ques No 156

Area of the quadrilateral REST, in which angle R = 90 degree, RE = 30 cm, ES = 42 cm, ST = 20 cm and TR = 16 cm is

Options:

1. 192 sq. cm

2. 240 sq. cm

3. 336 sq. cm

4. 576 sq. cm

Answer Key: 4

Solution:

MVPP 2020-21 Question Paper With Answer Keys and Solution: Ques No 157

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

Options:

1. 160 m

2. 180 m

3. 240 m

4. 260 m

Answer Key: 1

Solution:

JSTSE 2020-21 Question Paper With Answer Keys and Solution: Ques No 158

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

Options:

1. 32 – 16π/3 sq. cm

2. 32 – 8π/3 sq. cm

3. 16√3 – 8π sq. cm

4. 32√3 – 16π sq. cm

Answer Key: 3

Solution:

MVPP 2020-21 Question Paper With Answer Keys and Solution: Ques No 159

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

Options:

1. 45

2. 44

3. 43

4. 42

Answer Key: 3

Solution:

JSTSE 2020-21 Question Paper With Answer Keys and Solution: Ques No 160

If (3√2 + 2√3)/(4√2 + 3√3) = p + q√6, then find the value of p and q.

Options:

1. p = 1/5 and q = 6/5

2. p = 6/5 and q = 1/5

3. p = 6/5 and q = -1/5

4. p = -6/5 and q = 1/5

Answer Key: 3

Solution: