Contents

# NSEJS 2019-20 Question Paper With Answer Keys And Solutions

Hi students, welcome to **AmansMathsBlogs (AMB)**. On this article, you will get **NSEJS 2019-20 Question Paper With Answer Keys And Solutions**. you can download **NSEJS 2019-20 Maths Questions Bank With Solutions **as a PDF. The downloading link is given at last.

**NSEJS 2019-20** is an IJSO Stage 1 exam that is conducted by IAPT (Indian Association of Physics Teacher). In 2019-20 session, NSEJS is conducted on 17 November 2019 (Sunday).

**Read More **: **Details of IJSO Stages**

## NSEJS Maths Questions Bank EBook

Get **NSEJS 2008 to 2018 Maths Questions Bank with Solutions**. To get this combo ebook, click below **RED** button.

These questions are solved by me, AMAN RAJ, I am maths faculty of IIT Maths Foundation course and founder of this website **AmansMathsBlogs (AMB)**.

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

2008-09 | 2009-10 | 2010-11 | 2011-12 | 2012-13 | |||

2013-14 |
2014-15 |
2015-16 |
2016-17 |
2017-18 |
|||

2018-19 | 2019-20 |

## NSEJS 2019-20 Question Paper Code 51

**Read More :** **129 Maths Short Tricks for NTSE NSEJS JSTSE**

## NSEJS 2019-20 Answer Keys

Mathematics NSEJS 2019 Answer Keys | |||||||
---|---|---|---|---|---|---|---|

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

1 |
D |
6 |
A |
11 |
A |
16 |
C |

2 |
B |
7 |
D |
12 |
A |
17 |
A |

3 |
C |
8 |
D |
13 |
A |
18 |
D |

4 |
C |
9 |
A |
14 |
A |
19 |
C |

5 |
D |
10 |
B |
15 |
A |
20 |
B |

Biology NSEJS 2019 Answer Keys | |||||||

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

21 |
C |
26 |
B |
31 |
D |
36 |
D |

22 |
B |
27 |
C |
32 |
B |
37 |
C |

23 |
B |
28 |
D |
33 |
C |
38 |
B |

24 |
D |
29 |
D |
34 |
D |
39 |
C |

25 |
B |
30 |
C |
35 |
B |
40 |
A |

Chemistry NSEJS 2018-19 Answer Keys | |||||||

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

41 |
B |
46 |
B |
51 |
A |
56 |
A |

42 |
A |
47 |
C |
52 |
A |
57 |
C |

43 |
C |
48 |
D |
53 |
A |
58 |
C |

44 |
C |
49 |
C |
54 |
B |
59 |
D |

45 |
B |
50 |
B |
55 |
B |
60 |
A |

Physics NSEJS 2019 Answer Keys | |||||||

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

61 |
C |
66 |
B |
71 |
D |
76 |
C |

62 |
A |
67 |
B |
72 |
A |
77 |
A |

63 |
B |
68 |
B |
73 |
B |
78 |
A |

64 |
D |
69 |
A |
74 |
C |
79 |
A |

65 |
C |
70 |
C |
75 |
C |
80 |
D |

## NSEJS 2019-20 Solutions MATHS

**NSEJS 2019-20 Maths Questions Bank With Solution: Ques No 1**

Let α and β be the roots of the equation x^{2} – 5x + 3 = 0 with α > β. If a_{n} = α^{n} – β^{n} for n ≥ 1, then the value of (3a_{6} + a_{8})/a_{7} is

**Options:**

A. 2

B. 3

C. 4

D. 5

**Answer Key: D**

**Solution:**

**NSEJS 2019-20 Maths Question Bank With Solutions: Ques No 2**

The number of triplets (x, y, z) such that any one of these numbers is added to the product of the other two, the result is 2, is

**Options:**

A. 1

B. 2

C. 4

D. Infinite

**Answer Key: A**

**Solution:**

**NSEJS 2019-20 Maths Question Bank With Solutions: Ques No 3**

In a rectangle ABCD, AB = 5 and BC = 3. Points F and G are on the line segment CD so that DF = 1 and GC = 2. Lines AF and BG intersect at E. What is the area of the triangle AEB?

**Options:**

A. 10 sq. units

B. 15/2 sq. units

C. 25/2 sq units.

D. 20 sq. units.

**Answer Key: C**

**Solution:**

**NSEJS 2019-20 Maths Question Bank With Solutions: Ques No 4**

In the given figure, two concentric circles are shown with centre O. PQRS is a square inscribed in the outer circle. It also circumscribes the inner circle, touching it at the points B, C, D and A. What is the ratio of the perimeter of the outer circle to that of the quadrilateral ABCD?

**Options:**

A. π/4

B. 3π/2

C. π/2

D. π

**Answer Key: C**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 5**

How many positive integers N give a remainder 8 when 2008 is divided by N?

**Options:**

A. 12

B. 13

C. 14

D. 15

**Answer Key: D**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 6**

What is the product of all the roots of the equation ?

**Options:**

A. -64

B. -24

C. 576

D. 24

**Answer Key: A**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 7**

LCM of two numbers is 5775. Which of the following cannot be their HCF?

**Options:**

A. 175

B. 231

C. 385

D. 455

**Answer Key: D**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 8**

If a, b, c are distinct real numbers such that a + 1/b = b + 1/c = c + 1/a, evaluate abc.

**Options:**

A. ±√2

B. √2 – 1

C. √3

D. ±1

**Answer Key: D**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 9**

If the equation (α^{2} – 5α + 6)x^{2} + (α^{2} – 3α + 2)x + (α^{2} – 4) = 0 has more than two roots, then the value of α is

**Options:**

A. 2

B. 3

C. 1

D. None of these

**Answer Key: A**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 10**

Mr X with his eight children of different ages is on a family trip. His oldest child, who is 9 years old saw a license plate with a 4-digit number in which each of two digits appear two times. “Look daddy” she claims. “That number is evenly divisible by the age of each of us kids”. “That’s right” replies X “and the last two digits just happen to be my age”. Which of the following is not the age of one of Mr. X children?

**Options:**

A. 4

B. 5

C. 6

D. 7

**Answer Key: B**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 11**

How many numbers lie between 11 and 1111 which divided by 9 leaves a remainder 6 and when divided by 21 leaves a remainder 12?

**Options:**

A. 18

B. 28

C. 8

D. None of these

**Answer Key: A**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 12**

Two unbiased dice are rolled. What is the probability of getting a sum which is neither 7 nor 11?

**Options:**

A. 7/9

B. 7/18

C. 2/9

D. 11/18

**Answer Key: A**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 13**

The solution of the equation 1 + 4 + 7 + … + x = 925 is

**Options:**

A. 73

B. 76

C. 70

D. 74

**Answer Key: A**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 14**

If tanθ + secθ = 1.5, then the value of sinθ is

**Options:**

A. 5/13

B. 12/13

C. 3/5

D. 2/3

**Answer Key: A**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 15**

An observer standing at the top of a tower, find that the angle of elevation of a red bulb on the top of a light house of height H is α. Further, he finds that the angle of depression of reflection of the bulb in the ocean is β. Therefore, the height of the tower is

**Options:**

A. H(tanβ – tanα)/(tanβ + tanα)

B. Hsin(β – α)/cos(β + α)

C. H(cosα – cosβ)/(cotα + cotβ)

D. H

**Answer Key: A**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 16**

The sum of the roots of 1/(x + a) + 1/(x + b) = 1/c is zero. The product of roots is

**Options:**

A. 0

B. (a + b)/2

C. (-1/2)(a^{2} + b^{2})

D. 2(a^{2} + b^{2})

**Answer Key: C**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 17**

In a convex quadrilateral ABCD, the diagonals AC and BD meets at O and the measure of the angle AOB is 30 degree. If the areas of the triangle AOB, BOC, COD, DOA are 1, 2, 8 and 4 square units respectively, what is the product of the length of the diagonals AC and BD in square units?

**Options:**

A. 60

B. 56

C. 54

D. 64

**Answer Key: A**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 18**

If sin^{2}x + sin^{2}y + sin^{2}z = 0, then which of the following is NOT a possible value of cosx + cosy + cosz?

**Options:**

A. 3

B. -3

C. 1

D. -2

**Answer Key: D**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 19**

Find the remainder when x^{51} is divided by (x^{2} – 3x + 2).

**Options:**

A. x

B. (2^{51} – 2)x + (2 – 2^{51})

C. (2^{51} – 1)x + (2 – 2^{51})

D. 0

**Answer Key: C**

**Solution:**

**NSEJS 2019-20 Maths Questions Bank With Solutions: Ques No 20**

In an equilateral triangle, three coins of radii 1 unit each are kept so that they touch each other and also sides of the triangle. The area of the triangle ABC (in square units) is

**Options:**

A. 4 + 2√3

B. 4√3 + 6

C. 12 + 7√3/4

D. 3 + 7√3/4

**Answer Key: B**

**Solution:**

For solution of **NTSE 2019-20 Question Paper**, **Click Here**.

NSEJS | |||||||
---|---|---|---|---|---|---|---|

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

2008-09 | 2009-10 | 2010-11 | 2011-12 | 2012-13 | |||

2013-14 |
2014-15 |
2015-16 |
2016-17 |
2017-18 |
|||

2018-19 | 2019-20 |

## NSEJS Maths Questions Bank EBook

Get **NSEJS 2008 to 2019 Maths Questions Bank with Solutions**. To get this combo ebook, click below **RED** button.