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JSTSE MVPP 2019-20 Question Paper With Answer Keys And Solutions
Hi students, welcome to AmansMathsBlogs (AMB). On this article, you will get JSTSE MVPP 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).
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 MVPP 2019-20 Question Paper: PART – I (GK)
JSTSE MVPP 2019-20 Question Paper: PART – II (GS & Maths)
JSTSE MVPP 2019-20 Answer Keys: PART – I
| General Knowledge JSTSE 2019-20 Answer Keys | |||||||
|---|---|---|---|---|---|---|---|
| Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key |
| 1 | 2 | 16 | 4 | 31 | 2 | 46 | 3 |
| 2 | 2 | 17 | 1 | 32 | 1 | 47 | 1 |
| 3 | 3 | 18 | 3 | 33 | 2 | 48 | 2 |
| 4 | 2 | 19 | 1 | 34 | 3 | 49 | 3 |
| 5 | 1 | 20 | 4 | 35 | 4 | 50 | 3 |
| 6 | 3 | 21 | 3 | 36 | 3 | ||
| 7 | 2 | 22 | 1 | 37 | 1 | ||
| 8 | 2 | 23 | 2 | 38 | 3 | ||
| 9 | 2 | 24 | 3 | 39 | 2 | ||
| 10 | 4 | 25 | 1 | 40 | 4 | ||
| 11 | 1 | 26 | 4 | 41 | 2 | ||
| 12 | 2 | 27 | 4 | 42 | 4 | ||
| 13 | 2 | 28 | 1 | 43 | 3 | ||
| 14 | 4 | 29 | 4 | 44 | 3 | ||
| 15 | 1 | 30 | 4 | 45 | 4 | ||
JSTSE MVPP 2019-20 Answer Keys: PART – II
| General Science (51 to 170) & Mathematics (171 to 200) JSTSE 2019-20 Answer Keys | |||||||
|---|---|---|---|---|---|---|---|
| Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key |
| 51 | 2 | 91 | 3 | 131 | 4 | 171 | 1 |
| 52 | 4 | 92 | 2 | 132 | 1 | 172 | 1 |
| 53 | 2 | 93 | 3 | 133 | 4 | 173 | 3 |
| 54 | 1 | 94 | 1 | 134 | 2 | 174 | Bonus |
| 55 | 3 | 95 | 2 | 135 | 2 | 175 | 3 |
| 56 | 2 | 96 | 3 | 136 | 2 | 176 | 3 |
| 57 | 1 | 97 | 1 | 137 | 3 | 177 | 3 |
| 58 | 2 | 98 | 2 | 138 | 1 | 178 | 2 |
| 59 | 4 | 99 | 2 | 139 | 2 | 179 | 3 |
| 60 | 1 | 100 | 4 | 140 | 1 | 180 | 1 |
| 61 | 1 | 101 | 1 | 141 | 3 | 181 | 4 |
| 62 | 2 | 102 | 2 | 142 | 2 | 182 | 1 |
| 63 | 1 | 103 | 4 | 143 | 4 | 183 | 4 |
| 64 | 2 | 104 | 1 | 144 | 1 | 184 | 1 |
| 65 | 2 | 105 | 2 | 145 | 1 | 185 | 4 |
| 66 | 3 | 106 | 2 | 146 | 1 | 186 | 4 |
| 67 | 4 | 107 | 1 | 147 | 1 | 187 | 3 |
| 68 | 4 | 108 | 1 | 148 | 1 | 188 | 4 |
| 69 | 2 | 109 | 3 | 149 | 2 | 189 | 3 |
| 70 | 1 | 110 | 3 | 150 | 3 | 190 | 1 |
| 71 | 3 | 111 | 2 | 151 | 3 | 191 | 2 |
| 72 | 1 | 112 | 3 | 152 | 4 | 192 | 1 |
| 73 | 3 | 113 | 1 | 153 | 2 | 193 | 2 |
| 74 | 2 | 114 | 3 | 154 | 2 | 194 | 4 |
| 75 | 3 | 115 | 4 | 155 | 1 | 195 | 4 |
| 76 | 4 | 116 | 2 | 156 | 1 | 196 | 1 |
| 77 | 4 | 117 | 1 | 157 | 1 | 197 | 2 |
| 78 | 3 | 118 | 2 | 158 | 1 | 198 | 1 |
| 79 | 2 | 119 | 3 | 159 | 1 | 199 | 3 |
| 80 | 2 | 120 | 4 | 160 | 3 | 200 | 1 |
| 81 | 4 | 121 | 2 | 161 | 3 | ||
| 82 | 1 | 122 | 1 | 162 | 3 | ||
| 83 | 2 | 123 | 2 | 163 | 3 | ||
| 84 | 3 | 124 | 4 | 164 | 1 | ||
| 85 | 3 | 125 | 1 | 165 | 1 | ||
| 86 | 2 | 126 | 3 | 166 | 3 | ||
| 87 | 3 | 127 | 1 | 167 | 4 | ||
| 88 | 1 | 128 | 2 | 168 | 1 | ||
| 89 | 1 | 129 | 4 | 169 | 2 | ||
| 90 | 1 | 130 | 3 | 170 | 1 | ||
JSTSE MVPP 2019-20 Answer Keys With Solutions (Math)
MVPP 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
Answer Key: 2
Solution:
MVPP 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]
Answer Key: 1
Solution:
MVPP 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
Answer Key: 3
Solution:
MVPP 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
Answer Key: Not in Options
Solution:
MVPP 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)
Answer Key: 1
Solution:
MVPP 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:
MVPP 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
Answer Key: 3
Solution:
MVPP 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
Answer Key: 2
Solution:
MVPP 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
Answer Key: 3
Solution:
MVPP 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
Answer Key: 1
Solution:
MVPP 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
Answer Key: 4
Solution:
MVPP 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)
Answer Key: 1
Solution:
MVPP 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)
Answer Key: 4
Solution:
MVPP 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
Answer Key: 1
Solution:
MVPP 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
Answer Key: 4
Solution:
MVPP 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
Answer Key: 4
Solution:
MVPP 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
Answer Key: 3
Solution:
MVPP 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
Answer Key: 4
Solution:
MVPP 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
Answer Key: 3
Solution:
MVPP 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
Answer Key: 1
Solution:
MVPP 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
Answer Key: 2
Solution:
MVPP 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
Answer Key: 2
Solution:
MVPP 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
Answer Key: 2
Solution:
MVPP 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
Answer Key: 4
Solution:
MVPP 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
Answer Key: 4
Solution:
MVPP 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
Answer Key: 1
Solution:
MVPP 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
Answer Key: 2
Solution:
MVPP 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
Answer Key: 1
Solution:
MVPP 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
Answer Key: 3
Solution:
MVPP 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
Answer Key: 1
Solution:
MVPP 2019-20 Question Paper With Answer Keys and Solutions
