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# JSTSE 2018-19 Question Paper With Answer Keys And Solutions

Hi students, welcome to **AmansMathsBlogs (AMB)**. On this article, you will get **JSTSE 2018-19 Question Paper With Answer Keys And Solutions**.

**JSTSE 2018-19** is an exam that is conducted by science branch of the Directorate of Education, Government of Delhi. In 2018-19 session, **JSTSE **is conducted on 20 January 2019 (Sunday).

JSTSE | |||||||
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Previous Year Question Papers | |||||||

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2012-13 | 2013-14 | 2014-15 | 2015-16 | 2016-17 | |||

2018-19 | Physics | Chemistry | Maths | Biology |

The math questions of **JSTSE 2018-19 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 2018-19 Question Paper: PART – I (GK)

## JSTSE 2018-19 Question Paper: PART – II (GS & Maths)

## JSTSE 2018-19 Answer Keys: PART – I

General Knowledge JSTSE 2018-19 Answer Keys | |||||||
---|---|---|---|---|---|---|---|

Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key |

1 | 1 | 16 | 3 | 31 | 4 | 46 | 2 |

2 | 4 | 17 | 4 | 32 | 3 | 47 | 4 |

3 | 3 | 18 | 3 | 33 | 1 | 48 | 4 |

4 | 1 | 19 | 4 | 34 | 1 | 49 | 2 |

5 | 1 | 20 | 1 | 35 | 2 | 50 | 4 |

6 | 3 | 21 | 2 | 36 | 4 | ||

7 | 4 | 22 | 2 | 37 | 2 | ||

8 | 2 | 23 | 3 | 38 | 2 | ||

9 | 1 | 24 | 2 | 39 | 2 | ||

10 | 1 | 25 | 2 | 40 | 2 | ||

11 | 1 | 26 | 1 | 41 | 3 | ||

12 | 2 | 27 | 2 | 42 | 4 | ||

13 | 4 | 28 | 1 | 43 | 3 | ||

14 | 1 | 29 | 4 | 44 | 3 | ||

15 | 3 | 30 | 1 | 45 | 4 |

## JSTSE 2018-19 Answer Keys: PART – II

General Science (51 to 170) & Mathematics (171 to 200) JSTSE 2018-19 Answer Keys | |||||||
---|---|---|---|---|---|---|---|

Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key |

51 | 1 | 91 | 2 | 131 | 3 | 171 | 2 |

52 | 4 | 92 | 1 | 132 | 1 | 172 | 3 |

53 | 1 | 93 | 4 | 133 | 2 | 173 | 4 |

54 | 2 | 94 | 1 | 134 | 2 | 174 | 2 |

55 | 2 | 95 | 2 | 135 | 1 | 175 | 3 |

56 | 2 | 96 | 2 | 136 | 1 | 176 | 3 |

57 | 2 | 97 | 1 | 137 | 3 | 177 | 1 |

58 | 1 | 98 | 4 | 138 | 2 | 178 | 2 |

59 | 1 | 99 | 2 | 139 | 1 | 179 | 1 |

60 | 1 | 100 | 2 | 140 | 2 | 180 | 2 |

61 | 2 | 101 | 4 | 141 | 4 | 181 | 1 |

62 | 3 | 102 | 4 | 142 | 3 | 182 | 2 |

63 | 2 | 103 | 3 | 143 | 4 | 183 | 4 |

64 | 1 | 104 | 3 | 144 | 2 | 184 | 4 |

65 | 3 | 105 | 1 | 145 | 3 | 185 | 2 |

66 | 2 | 106 | 1 | 146 | 2 | 186 | 4 |

67 | 3 | 107 | 4 | 147 | 2 | 187 | 4 |

68 | 2 | 108 | 3 | 148 | 3 | 188 | 1 |

69 | 3 | 109 | 3 | 149 | 4 | 189 | 1 |

70 | 2 | 110 | 3 | 150 | 2 | 190 | 3 |

71 | 3 | 111 | 2 | 151 | 1 | 191 | 2 |

72 | 1, 2 | 112 | 3 | 152 | 1 | 192 | 3 |

73 | 2 | 113 | 2 | 153 | 3 | 193 | 1 |

74 | 2 | 114 | 4 | 154 | 1 | 194 | 4 |

75 | 4 | 115 | 1 | 155 | 4 | 195 | 3 |

76 | 3 | 116 | 2 | 156 | 4 | 196 | 2 |

77 | 2 | 117 | 4 | 157 | 2 | 197 | 2 |

78 | 2 | 118 | 2 | 158 | 1 | 198 | 3 |

79 | 3 | 119 | 4 | 159 | 3 | 199 | 2 |

80 | 3 | 120 | 1 | 160 | 4 | 200 | 3 |

81 | 4 | 121 | 3 | 161 | 2 | ||

82 | 2 | 122 | 2 | 162 | 1 | ||

83 | 2 | 123 | 4 | 163 | 3 | ||

84 | 2 | 124 | 2 | 164 | 4 | ||

85 | 4 | 125 | 1 | 165 | 3 | ||

86 | 3 | 126 | 3 | 166 | 4 | ||

87 | 2 | 127 | 3 | 167 | 1 | ||

88 | 1 | 128 | 1 | 168 | 2 | ||

89 | 3 | 129 | 3 | 169 | 2 | ||

90 | 1 | 130 | 4 | 170 | 3 |

## JSTSE 2018-19 Answer Keys With Solutions (Math)

**JSTSE 2018-19 Question Paper With Solutions: Ques No 171**

If x = , then the value of x^{2} + (39/x)^{2} is

**Options:**

A. 104

B. 114

C. 124

D. 144

**Answer Key: B**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 172**

If a/b + b/a = 1, (a, b 0) then the value of a^{3} + b^{3} is

**Options:**

A. 1

B. -1

C. 0

D. 2

**Answer Key: C**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 173**

If value of is

**Options:**

A. 8(3)^(1/2)

B. 2(3)^(1/2)

C. 3(2)^(1/2)

D. (6)^(1/2)

**Answer Key: D**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 174**

If one angle of a triangle is 130, then the angle between the angle bisectors of the other two angles is

**Options:**

A. 145 degree

B. 155 degree

C. 135 degree

D. 95 degree

**Answer Key: B**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 175**

If 4^{x} – 4^{x-1} = 24, then (2x)^{x} equals

**Options:**

A. 5Root(5)

B. Root(5)

C. 25Root(5)

D. 125

**Answer Key: C**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 176**

If [(2.3)^{3} – (0.027)]/[(2.3)^{2} + 0.69 + 0.09] = k, then the value of k is

**Options:**

A. 2.273

B. 2.327

C. 2

D. 3

**Answer Key: C**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 177**

If (3x – 1)^{7} = a_{7}x^{7} + a_{6}x^{6} + a_{5}x^{5} + … + a_{1}x + a_{0}, then the value of (a_{7} + a_{6} + a_{5} + a_{4} + a_{3} + a_{2} + a_{1} + a_{0}) is

**Options:**

A. 128

B. 64

C. 0

D. 32

**Answer Key: A**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 178**

If a : b = 2 : 3, x : y = 3 : 4, then the value of (25by – 2ax)/(3ay + 4bx) is

**Options:**

A. 5 : 24

B. 24 : 5

C. 1 : 2

D. 2 : 1

**Answer Key: B**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 179**

If x^{3} – 3x^{2} + 3x + 7 = (x + 1)(ax^{2} + bx + c), then the value of (a + b + c) is

**Options:**

A. 4

B. 12

C. -10

D. 3

**Answer Key: A**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 180**

In the given figure (see QNo: 180 in above question paper), PQRS is a square. RST is an equilateral triangle, then the value of x is.

**Options:**

A. 60 degree

B. 75 degree

C. 45 degree

D. 80 degree

**Answer Key: B**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 181**

One angle of a pentagon is 140 degree. If the remaining angles are in the ratio of 1:2:3:4, then the greatest angle is

**Options:**

A. 160 degree

B. 170 degree

C. 140 degree

D. 150 degree

**Answer Key: A**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 182**

If the mean of age of 18 students of a class is 14.5 years, two more students of ages 15 years and 16 years join the class, then the new mean of age is

**Options:**

A. 14 years

B. 14.6 years

C. 14.5 years

D. 14.7 years

**Answer Key: B**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 183**

The value of is

**Options:**

A. 9

B. 8

C. 6

D. 7

**Answer Key: D**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 184**

In the given triangle RST (see QNo: 184 in above question paper), the value of x is

**Options:**

A. 40 degree

B. 90 degree

C. 80 degree

D. 100 degree

**Answer Key: D**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 185**

If the cost price of 25 articles is equal to the selling price of 20 article, the gain percentage is

**Options:**

A. 20%

B. 25%

C. 5%

D. 10%

**Answer Key: B**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 186**

The value of

is

**Options:**

A. 3/22

B. 41/100

C. 1/2

D. 9/22

**Answer Key: D**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 187**

If a = 2 + Root(3), then the value of (a – 1/a) is

**Options:**

A. 0

B. 2 + Root(3)

C. 4

D. 2Root(3)

**Answer Key: D**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 188**

In the given figure (see QNo: 188 in above question paper), AB || HG, then the value of a is

**Options:**

A. 8

B. 9

C. 7.5

D. 10

**Answer Key: A**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 189**

If one factor of (x^{4} + x^{2} – 20) is (x^{2} + 5). The other factor is

**Options:**

A. x^{2} – 4

B. x^{2} + 4

C. x – 4

D. x + 20

**Answer Key: A**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 190**

If x = 7 + 4Root(3) and xy = 1, then (1/x^{2} + 1/y^{2}) is

**Options:**

A. 64

B. 134

C. 194

D. 149

**Answer Key: C**

**Solution:**

**JSTSE 2018-19 Question Paper With Solutions: Ques No 191**

If 5^{2m-1} = 25^{m-1} + 100, then the value of 3^{2+m} is

**Options:**

A. 27

B. 81

C. 9

D. 343

**Answer Key: B**

**Solution:**

**JSTSE 2018-19 Question Paper With Solution: Ques No 192**

If 5 coins are tossed together, what will be the probability of getting at least two heads?

**Options:**

A. 1/32

B. 3/16

C. 13/16

D. 5/16

**Answer Key: C**

**Solution:**

**JSTSE 2018-19 Question Paper With Solution: Ques No 193**

If , then the value of (x – y) is

**Options:**

A. 16

B. 38

C. 22

D. 21

**Answer Key: A**

**Solution:**

**JSTSE 2018-19 Question Paper With Solution: Ques No 194**

If p + q + r = 0, then the value of (q + r)^{2}/qr + (r + p)^{2}/rp + (p + q)^{2}/pq is

**Options:**

A. 0

B. 1

C. 2

D. 3

**Answer Key: D**

**Solution:**

**JSTSE 2018-19 Question Paper With Solution: Ques No 195**

If 2l – m + n = 0, then the value of 4l^{2} – m^{2} + n^{2} + 4ln is

**Options:**

A. 1

B. -1

C. 0

D. 2

**Answer Key: C**

**Solution:**

**JSTSE 2018-19 Question Paper With Solution: Ques No 196**

If m^{2} + 1/25m^{2} = 43/5, then the value of m^{3} + 1/125m^{3} is

**Options:**

A. 50(1/5)

B. 25(1/5)

C. 12(1/5)

D. 15(1/5)

**Answer Key: B**

**Solution:**

**JSTSE 2018-19 Question Paper With Solution: Ques No 197**

The cost price of a bag and a book is Rs. 371. If the bag costs 12% more than the book, then the cost price of the bag is

**Options:**

A. Rs. 175

B. Rs. 196

C. Rs. 150

D. Rs. 221

**Answer Key: B**

**Solution:**

**JSTSE 2018-19 Question Paper With Solution: Ques No 198**

In the given figure (see QNo: 198 in above question paper), AE = DC = 13 cm, BE = 5 cm, angle ABC = 90 degree and AD = EC, then the length of AD is

**Options:**

A. 5 cm

B. 6 cm

C. 7 cm

D. 12 cm

**Answer Key: C**

**Solution:**

**JSTSE 2018-19 Question Paper With Solution: Ques No 199**

Two dice are rolled, then the probability of getting a total of 9 is

**Options:**

A. 1/3

B. 1/9

C. 9/10

D. 8/9

**Answer Key: B**

**Solution:**

**JSTSE 2018-19 Question Paper With Solution: Ques No 200**

If A:B:C = 2:3:4 and A^{2} + B^{2} + C^{2} = 11600, then the value of (A + B + C) is

**Options:**

A. 20

B. 24

C. 60

D. 100

**Answer Key: C**

**Solution:**

JSTSE | |||||||
---|---|---|---|---|---|---|---|

Previous Year Question Papers | |||||||

2007-08 | 2008-09 | 2009-10 | 2010-11 | 2011-12 | |||

2012-13 | 2013-14 | 2014-15 | 2015-16 | 2016-17 | |||

2018-19 | Physics | Chemistry | Maths | Biology |