CSIR NET 2023 Mathematical Science Prev. Yr. Paper (28-Dec-2023)

Question 1

When an alarm goes off, policemen X and Y chase thief T, on foot and on a cycle, respectively, along the same straight road. Initially the distance between X and Y was 4 times that between T and X. If X runs twice as fast as T and Y rides twice as fast as X, then

Accepted Answer

X will catch T first

Answer

X and Y will catch up with T at the same time

Answer

Y will catch T first

Answer

Y will cross X during the chase

Question 2

Train travel time between stations A and B is 39 hours. Every day a pair of trains leave from A to B and B to A at 6 AM. If the service starts on a Monday, on which earliest day will the same train rakes start the journeys again from their original stations?

Accepted Answer

Friday

Answer

Wednesday

Answer

Thursday

Answer

Saturday

Question 3

Which of the integers 10, 11, 12 and 13 can be written as the sum of squares of four integers (allowing repetition)?

Accepted Answer

All

Answer

Only 10

Answer

Only 10 and 11

Answer

Only 10, 11 and 12

Question 4

Which of the following powers of 3 is the largest factor of 1 &times; 2 &times; 3 &times; 4 &times; ... &times; 30 ?

Accepted Answer

314

Answer

310

Answer

313

Answer

315

Question 5

In the figure $\triangle {ABC}$  and  $\triangle {BDC}$ are similar.  Then BD = ?

Accepted Answer

6.0

Answer

8.0

Answer

7.2

Answer

7.5

CSIR NET 2023 Mathematical Science Prev. Yr. Paper (28-Dec-2023)

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