Csir Net/Jrf Mathematical sciences Question paper (2017-Dec ) Solutions

Booklet C - Solutions
For Question paper , click on the given link
https://drive.google.com/file/d/180749p_mMLjDFj48oR0L8kAgdcGn4tyj/view?usp=drivesdk
For questions
(1,2,3,6,7,10,11,12,13,14,15,16,21,22,23,24,25,27,29,32,36,38,39,40,44,45,46,47,48,62,66,69,72,73,74,92,98,99)

1. A person purchases two chains from a jeweller, one weighing 18 g made of 22 carat gold and another weighing 22 g made of 18 carat gold. which one of the following statements is correct ?
a. 22 carat chain contains 2/11 times more gold than 18 carat chain
b. 22 carat chain contains 1/11 times more gold than 18 carat chain
c.  Both chains contain the same quantity of gold
d. 18 carat chain contains 2/11 times more gold than 22 carat chain

 Solution 1

2. what is the volume of soil in an open pit of size 2 m * 2 m * 10 m ?
a. 40 m^3
b. 0.4 m^3
c. 0 m^3
d.  4 m^3

 Solution 2

3. what is the maximum number of cylinderical pencil of 0.5 cm diameter  that can be stood in a square shaped stand  of 5 cm * 5 cm inner cross section ?

a. 99

b. 121

c. 100

d. 105

Solution 3

6. The sum of two numbers is equal to sum of 11 and cube of 9 .The largest number is (5)^2 less than square of 25. What is the value of the sum of 24 percent of the smaller number and half of the largest number ?

a. 415

b. 400

c. 410

d. 420

Solution 6

    7: For which values of A and B is sin A = cot B ?
 
                       

   Solution 7

10 :  A rectangular flask of length 11 cm , width 8 cm and height 20 cm has water filled    up to height 20 cm has water filled up to height 5 cm . If 21 spherical marbles of radius 1 cm each are dropped in the flask, what would be the rise in water level ?

Solution 10

11 : The smallest square floor which can be completely paved with tiles of size 8 *6 without breaking ant tile , needs n tiles. Find n.

Solution 11:

 Solution 12

13. A plate of 5 m * 2 m  size with uniform thickness, weighing 20 kg, is perforated with 1000 holes of 5 cm  * 2 cm size. what is the weight of the plate(in kg) after perforation ?

Solution 13

14. Four small squares of side x are cut out of a square of 12 cm to make a tray by folding the edges. what is the value of x so that the tray has the maximum volume ?

Solution 14

                   
15. Three- quarters of a circle is shown in the figure: OA and OB are two radii perpendicular to each other. C is point on the circle.
Solution 15

16. A 2 m  long ladder is to reach a wall of height 1.75 m. The largest possible horizontal distance of the ladder from the wall could be

Solution 16

                         Solution 21

                       Solution 22

Solution 23

                        Solution 24

                   

                      Solution 27

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                         Solution 32

                        Solution 36

                      Solution 38

                      Solution 39

                     Solution 40

                       Solution 44

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                        Solution 46

                        Solution 47

                        Solution 48

                           Solution 66

                          Solution 64

Solution 69

Solution 72

Solution 73

Solution 74

Solution 92

Solution 98

Solution 99