Department West Bengal School Education Department Exam Vidyasagar Science Olympiad/ Jagadis Bose National Science Talent Search [JBNSTS] Download Model/Sample Question Papers 2021 Document Type PDF Official Website http://vidyasagarscienceolympiad.jbnsts.ac.in/index.php

Vidyasagar Science Olympiad – 2021, An initiative of School Education Department, Secondary Branch, Govt. of West Bengal for identifying talented students of class IX, West Bengal. Organised by Jagadis Bose National Science Talent Search [JBNSTS]

## Vidyasagar Science Olympiad 2021 Mathematics Sample Questions

Question 1:
The date of 100th day of a year, which is not a leap year, will be
(a) April10
(b) April 11
(c) April 7
(d) April 9

Question 2:
If 8A5146B is divisible by 88, then what is the value of A × B?
(a) 4
(b) 16
(c) 8
(d) 12

Question 3:
There are 600 employees in a certain company. 40 percent of the employees of the company are men and rests are women. If 60 percent of the women earn more than Rs. 2,50,000 per year. Then the number of women earn Rs. 2,50,000 per year or less in this company is –
(a) 360
(b) 240
(c) 216
(d) 144

Question 4:
Consider a sequence of seven consecutive integers. The average of the first five integers is 25. The average of all the seven integers is:
(a) 24
(b) 25
(c) 26
(d) 27

Question 5:
In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side?
(a) √3 : 2
(b) 1 : √3
(c) 2 : 5
(d) 3 : 4

Question 6:
If 5 men and 3 boys can reap 23 hectares in 4 days and if 3 men and 2 boys can reap 7 hectares in 2 days, then how many boys must assist 7 men in order that they may reap 45 hectares in 6 days?
(a) 1
(b) 2
(c) 3
(d) 4

Question 7:
The equilateral triangles overlap as in the figure below. The value of the angle X is
(a) 300
(b) 350
(c) 400
(d) 500

Question 8:
If the amount requires to paint an area of 1 sq. cm is Rs. 2, then the expenditure (in Rs.) to paint all the outer surfaces of a cubical box of length 20 cm
(a) 2400
(b) 3600
(c) 4800
(d) 6000

Question 9:
The remainder when the number (2 × 3 × 4 × 2007 × 2008 × 2009) – 2008 is divided by 2009 is (2 × 3 × 4 × 2007 × 2008 × 2009) – 2008
(a) 0
(b) 1
(c) 2007
(d) 2008

Question 10:
ABCD is a square in the figure below. Point E lies on the side AD and F lies on the side BC in such a way so that, BE = EF = FD = 30 cm. The area of the square (in square cm) is

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