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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).

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)**.

## 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 Solutions: 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 Solutions: 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 Solutions: 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 Solutions: 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 Solutions: 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 Solutions: 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 Solutions: 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 Solutions: 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 Solutions: 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:**

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