 Friday, October 23, 2020

# JSTSE 2019-20 Question Paper With Answer Keys and Solutions # JSTSE 2019-20 Question Paper With Answer Keys And Solutions

Hi students, welcome to AmansMathsBlogs (AMB). On this article, you will get JSTSE 2019-20 Question Paper With Answer Keys And Solutions.

JSTSE 2019-20 is an exam that is conducted by science branch of the Directorate of Education, Government of Delhi. In 2019-20 session, JSTSE is conducted on 15 December 2019 (Sunday).

JSTSE
Previous Year Question Papers
2007-082008-092009-102010-112011-12
2012-132013-142014-152015-162016-17
2018-19PhysicsChemistryMathsBiology

The math questions of JSTSE 2019-20 Question Paper are solved by me, AMAN RAJ, I am maths faculty of IIT Maths Foundation course and founder of this website AmansMathsBlogs (AMB).

Read More : 129 Maths Short Tricks

## JSTSE 2019-20 Answer Keys: PART – I

General Knowledge JSTSE 2019-20 Answer Keys
Ques NoAns KeyQues NoAns KeyQues NoAns KeyQues NoAns Key
12164312463
22171321471
33183332482
42191343493
51204354503
63213363
72221371
82232383
92243392
104251404
111264412
122274424
132281433
144294443
151304454

## JSTSE 2019-20 Answer Keys: PART – II

General Science (51 to 170) & Mathematics (171 to 200) JSTSE 2019-20 Answer Keys
Ques NoAns KeyQues NoAns KeyQues NoAns KeyQues NoAns Key
51291313141711
52492213211721
53293313341733
5419411342174Bonus
55395213521753
56296313621763
57197113731773
58298213811782
59499213921793
601100414011801
611101114131814
622102214221821
631103414341834
642104114411841
652105214511854
663106214611864
674107114711873
684108114811884
692109314921893
701110315031901
713111215131912
721112315241921
733113115321932
742114315421944
753115415511954
764116215611961
774117115711972
783118215811981
792119315911993
802120416032001
81412121613
82112211623
83212321633
84312441641
85312511651
86212631663
87312711674
88112821681
89112941692
90113031701

## JSTSE 2019-20 Answer Keys With Solutions (Math)

JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 171

If ((x+1)/(x+3))3 = (x-1)/(x+5), then the value of x is

Options:

1. 2

2. -2

3. 1

4. -1

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 172

The value of 1/(2 + √3 – 2√2) + 3/(2 + √3 + 2√2) is

Options:

1. (4/47)[9√3 – 4√6 – √2 + 14]

2. (4/47)[9√3 + 4√6 – √2 + 14]

3. (4/47)[9√3 – 4√6 – √2 – 14]

4. (4/47)[9√3 + 4√6 + √2 + 14]

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 173

If x = 5√21 / (√3 + √7), then the value of (x + 5√7)/(x – 5√7) – (x + 5√3)/(x – 5√3) is

Options:

1. 2

2. √21

3. 8/√21

4. 4/√21

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 174

If the polynomials p(x) = 4x3 – ax2 + 2x – 1 and q(x) = 3x3 – 7x2 – 8x + a leave the same remainder, when divided by (x – 1), then the value of a is

Options:

1. 1

2. 1/2

3. 3/2

4. -3/2

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 175

Factors of 6x2 – 5xy – 4y2 + x + 17y – 15 is

Options:

1. (2x + y – 3)(3x – 4y + 5)

2. (2x – y – 3)(3x – 4y – 5)

3. (2x – y – 3)(3x + 4y + 5)

4. (2x + y + 3)(3x + 4y – 5)

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 176

If x = ∛28 and y = ∛27, then the value of (x + y) – 1/(x2 + xy + y2) is

Options:

1. 8

2. 7

3. 6

4. 5

Answer Key: Given question is wrong: Correct term is (x – y) – 1/(x2 + xy + y2).

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 177

The value of 0.2 + 0.23 is

Options:

1. 0.43

2. 0.43

3. 0.45

4. 0.45

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 178

If x, y and z are real numbers, then (x – 2)2 + (y – 3)2 + (z – 4)2 = 0, then the value of xy + yz + zx is

Options:

1. 24

2. 26

3. 28

4. 30

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 179

If p2 – 3p – 1 = 0, then the value of p2 + 1/p2 is

Options:

1. 7

2. 9

3. 11

4. 13

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 180

If m + n = 7 and m3 + n3 = 133, then the value of (m2 + n2) is

Options:

1. 29

2. 49

3. 69

4. 59

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 181

If x + y = √3, x – y = √2, then the expression 8xy(x2 + y2) has the value

Options:

1. 5√2

2. 10√2

3. 20

4. 5

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 182

Factors of (3×2 – 2x)(6 – 3×2 +2x) – 5 are

Options:

1. (x – 1)(x + 1)(1 + 3x)(5 – 3x)

2. (x – 1)(x + 1)(1 + 3x)(5 + 3x)

3. (x – 1)(x + 1)(1 – 3x)(3 + 5x)

4. (x – 1)(x + 1)(3 – x)(5 – 3x)

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 183

If m = 2p + √(p2 + k), then the value of k in terms of p and m is

Options:

1. (m + p)(m + 3p)

2. (m + p)(m – 3p)

3. (m – 2p)(m – 3p)

4. (m – p)(m – 3p)

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 184

If p – x = 1 and (3x + 2)/5 + 3/2 = (4p – 3)/2, then the value of x is

Options:

1. 1

2. -1

3. 0

4. 2

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 185

If 52m-1 = 25n-1 + 100, then the value of 6-m is

Options:

1. 6

2. 36

3. 1/6

4. 1/36

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 186

If x = 3 + 31/3 + 32/3, then the value of x3 – 9x2 + 18x – 10 is

Options:

1. -1

2. 0

3. 1

4. 2

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 187

If a + b + c = 2, ab + bc + ca = -1 and abc = -2, then the value of a3 + b3 + c3 is

Options:

1. -8

2. 0

3. 8

4. 16

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 188

The coefficient of x2 in (x+3)(x-5)(x+7) is

Options:

1. 28

2. -28

3. -5

4. 5

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solution: Ques No 189

In the figure, AD = AC = CB, then the value of x is Options:

1. 51 degree

2. 78 degree

3. 34 degree

4. 43 degree

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 190

If (√32)m / 2n+1 = 1 and 164-m/2 – 8n = 0, then the value of m and n are

Options:

1. m = 2 and n = 4

2. m = 2 and n = 3

3. m = 4 and n = 2

4. m = 3 and n = 2

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 191

In the figure, O is the center of the circle, angle OAB = 32 degree and angle APD = 90 degree then the value of x is Options:

1. 30 degree

2. 32 degree

3. 34 degree

4. 36 degree

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 192

In the figure, O is the center of the circle, angle QRO = 30 degree, then the values of a and b are Options:

1. a = 30 degree and b = 30 degree

2. a = 15 degree and b = 15 degree

3. a = 15 degree and b = 30 degree

4. a = 30 degree and b = 15 degree

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 193

If the volume of a cube is L cubic units, its surface area is M square units and length of the diagonals is N units, then

Options:

1. 6L = MN

2. 6√3L = MN

3. √3M = LN

4. 6N = LM

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 194

In a triangle, the average of any two sides is 6 cm more than half of third side, then the area of the triangle is

Options:

1. 64√3

2. 48√3

3. 72√3

4. 36√3

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 195

The area of circular ring enclosed between two concentric circles is 286 cm2. If the difference of their radii is 7 cm, then the radii of these circles are

Options:

1. 2 cm and 9 cm

2. 5 cm and 12 cm

3. 4 cm and 11 cm

4. 3 cm and 10 cm

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 196

If 49x – 49x-1 = 16464, then which of the following is equivalent of (2x)x?

Options:

1. (5)5/2

2. (7)7/2

3. (3)3/2

4. None of these

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 197

The ratio of the volumes of a cube to that of a sphere which will fit in side the sphere is

Options:

1. √3π : 2

2. 2 : √3π

3. 3 : √2π

4. None of these

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 198

The value of ∛(20 + 14√2) + ∛(20 – 14√2) is

Options:

1. 4

2. 6

3. 8

4. 10

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 199

If m + 1/m = 5, then the value of (m4 + 3m3 + 5m2 + 3m + 1)/(m4 + 1) is

Options:

1. 47/21

2. 45/21

3. 43/23

4. 41/23

Solution: JSTSE 2019-20 Question Paper With Answer Keys and Solutions: Ques No 200

If x : y : z = 4 : 3 : 2 and x2 + y2 + z2 = 11600, then the value of √(x + y – z) is

Options:

1. 10

2. 100

3. 180

4. 60

Solution: JSTSE
Previous Year Question Papers
2007-082008-092009-102010-112011-12
2012-132013-142014-152015-162016-17
2018-19PhysicsChemistryMathsBiology