CSIR NET 2019 Mathematical Science Question Paper (16-Jun-2019)

Question 1

The number of digits you have to type to write all the page numbers of a book starting from 1 (first page) is 2019. What is the number of pages in that book?

Accepted Answer

709

Answer

609

Answer

610

Answer

710

Question 2

A student received the following marks in the five of the six courses: 91, 86, 81, 79 and 92. Average of his marks in six subjects is 85. How many marks did he receive in the sixth subject?

Accepted Answer

81

Answer

83

Answer

85

Answer

88

Question 3

Salesperson 'A' sells an object at a price Rs. 5 less than the marked price, receiving a commission of 5% on the selling price. The same object is sold by person 'B' at a price Rs.15 less than the marked price, receiving a commission of 15% on the selling price. If both A and B receive the same amount in commission, then what is the marked price of the object?

Accepted Answer

20

Answer

10

Answer

22.5

Answer

30

Question 4

A ball rotates at a rate $r$ rotations per second and simultaneously revolves around a stationary point O at a rate $R$ revolutions per second ($R < r$). The rotation and revolution are in the same sense. A certain point on the ball is in the line of the centre of the ball and point O at a certain time. This configuration repeats after a time

Accepted Answer

$\frac{1}{r-R}$

Answer

$\frac{1}{R} - \frac{1}{r}$

Answer

$\frac{1}{r+R}$

Answer

$\frac{1}{R} + \frac{1}{r}$

Question 5

There are two examinations, A and B in a subject which are evaluated out of 30 and 70 marks, respectively. In order to pass the course the student has to get at least 40 % in total and at least 40 % in B. The following are the marks of the students $S_1$ to $S_4$.

Students	A	B
$S_1$	12	28
$S_2$	10	29
$S_3$	16	27
$S_4$	05	29

The only student/s to have passed is/are

Accepted Answer

$S_1$

Answer

$S_1, S_3$

Answer

$S_1, S_2, S_4$

Answer

$S_1, S_2$

CSIR NET 2019 Mathematical Science Question Paper (16-Jun-2019)

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