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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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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 Answer Keys: PART – I

General Knowledge JSTSE 2018-19 Answer Keys
Ques NoAns KeyQues NoAns KeyQues NoAns KeyQues NoAns Key
11163314462
24174323474
33183331484
41194341492
51201352504
63212364
74222372
82233382
91242392
101252402
111261413
122272424
134281433
141294443
153301454

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

General Science (51 to 170) & Mathematics (171 to 200) JSTSE 2018-19 Answer Keys
Ques NoAns KeyQues NoAns KeyQues NoAns KeyQues NoAns Key
51191213131712
52492113211723
53193413321734
54294113421742
55295213511753
56296213611763
57297113731771
58198413821782
59199213911791
601100214021802
612101414141811
623102414231822
632103314341834
641104314421844
653105114531852
662106114621864
673107414721874
682108314831881
693109314941891
702110315021903
713111215111912
721, 2112315211923
732113215331931
742114415411944
754115115541953
763116215641962
772117415721972
782118215811983
793119415931992
803120116042003
81412131612
82212221621
83212341633
84212421644
85412511653
86312631664
87212731671
88112811682
89312931692
90113041703

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

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

If x = , then the value of x2 + (39/x)2 is

Options:

A. 104

B. 114

C. 124

D. 144

Solution:

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

If a/b + b/a = 1, (a, b  0) then the value of a3 + b3 is

Options:

A. 1

B. -1

C. 0

D. 2

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)

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

Solution:

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

If 4x – 4x-1 = 24, then (2x)x equals

Options:

A. 5Root(5)

B. Root(5)

C. 25Root(5)

D. 125

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

Solution:

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

If (3x – 1)7 = a7x7 + a6x6 + a5x5 + … + a1x + a0, then the value of (a7 + a6 + a5 + a4 + a3 + a2 + a1 + a0) is

Options:

A. 128

B. 64

C. 0

D. 32

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

Solution:

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

If x3 – 3x2 + 3x + 7 = (x + 1)(ax2 + bx + c), then the value of (a + b + c) is

Options:

A. 4

B. 12

C. -10

D. 3

Solution:

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

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

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

Solution:

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

The value of  is

Options:

A. 9

B. 8

C. 6

D. 7

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

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%

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

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)

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

Solution:

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

If one factor of (x4 + x2 – 20) is (x2 + 5). The other factor is

Options:

A. x2 – 4

B. x2 + 4

C. x – 4

D. x + 20

Solution:

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

If x = 7 + 4Root(3) and xy = 1, then (1/x2 + 1/y2) is

Options:

A. 64

B. 134

C. 194

D. 149

Solution:

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

If 52m-1 = 25m-1 + 100, then the value of 32+m is

Options:

A. 27

B. 81

C. 9

D. 343

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

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

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

Solution:

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

If 2l – m + n = 0, then the value of 4l2 – m2 + n2 + 4ln is

Options:

A. 1

B. -1

C. 0

D. 2

Solution:

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

If m2 + 1/25m2 = 43/5, then the value of m3 + 1/125m3 is

Options:

A. 50(1/5)

B. 25(1/5)

C. 12(1/5)

D. 15(1/5)

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

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

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

Solution:

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

If A:B:C = 2:3:4 and A2 + B2 + C2 = 11600, then the value of (A + B + C) is

Options:

A. 20

B. 24

C. 60

D. 100