NET JRF PART - A : Questions and Solutions : NET JUNE-2019

NET JRF PART - A : Questions and Solutions:

NET JUNE-2019

For Similar Questions click here

1.) How many quadrilaterals does the following figure have? 

(a) 17 

(b) 18 

(c) 19 

(d) 20 

NET JRF PART - A : Questions and Solutions : NET JUNE-2013

NET JRF PART - A : Questions and Solutions:

NET JUNE-2013

1.) Choose the largest number: 

(a) 2⁵⁰⁰ (b) 3⁴⁰⁰ (c) 4³⁰⁰ (d) 5²⁰⁰

Ans. : (b) 3⁴⁰⁰ .

NET JRF PART - A : Questions and Solutions : NET JUNE-2014

NET JRF PART - A : Questions and Solutions:

NET JUNE-2014

1.) Suppose 

x∆y = ( x - y )² ;

xoy = ( x + y )² ;

x*y = ( x × y )^-1 ;

x•y = x × y ;

+, – and × have their usual meanings. What is the value of { ( 197o315 ) - ( 197∆315 ) } • ( 197*315 ) ?

(a) 118 (b) 512 (c) 2 (d) 4 

NET JRF PART - A : Questions and Solutions : NET DEC-2012

NET JRF PART - A : Questions and Solutions:

NET DEC-2012

1.)  Find the missing letter :

(a) H

(b) L

(c) Z

(d) Y 

Differentiation

Differentiation:

1.) Differentiate the following with respect to x. 

If y = 1/x√x , find dy/dx . 

Differentiation

Differentiation:

1.) Differentiate the following with respect to x. 

Find y′ if y = x² + cosx . 

NET JRF PART - A : Questions and Solutions : NET DEC-2012

NET JRF PART - A : Questions and Solutions:

NET DEC-2012

1.) What is the next number in this "see and tell " sequence ?

1  11  21  1211  111221 _____ .

a.) 312211

b.) 1112221

c.) 1112222

d.) 1112131

NET JRF PART - A : Questions and Solutions : NET DEC-2012

NET JRF PART - A : Questions and Solutions:

NET DEC-2012

1.) 25% of 25% of a quantity is x% of the quantity where x is :

a.) 6.25% 

b.) 12.5%

c.) 25%

d.) 50%

Algebra

Algebra:

1.) Consider the following equation 

x² + 4y² + 9z² = 14x + 28y + 42z - 147 

where x, y and z are real numbers. Then the value of x + 2y + 3z is :

a.) 7

b.) 14

c.) 21

d.) not unique

Differentiation

Differentiation:

Differentiate the following with respect to x. 

1.) If y = √x  find dy/dx . 

NET JRF PART - A : Questions and Solutions : NET DEC-2012

NET JRF PART - A : Questions and Solutions:

NET DEC-2012

1.) Which is the least among the following ?

0.33^0.33 , 0.44^0.44 , π^-1/π , e^-1/e

a.) 0.33^0.33

b.) 0.44^0.44 

c.) π^-1/π 

d.) e^-1/e

Ans. : (d) e^-1/e .

NET JRF PART - A : Questions and Solutions : NET JUNE-2012

NET JRF PART - A : Questions and Solutions:

NET JUNE-2012

For Similar Questions click here

1.) How many squares are there in this figure?

(a) 9

(b) 14

(c) 15

(d) 17

NET JRF PART - A : Questions and Solutions : NET DEC-2018

NET JRF PART - A : Questions and Solutions:

NET DEC-2018

1.) What is the value of 1² - 2² + 3² - 4² + 5² - ....... + 17² - 18² + 19² ? 

(a) -5 (b) 12 (c) 95 (d) 190

Ans. : (d) 190 .

NET JRF PART - A : Questions and Solutions : NET DEC-2015

NET JRF PART - A : Questions and Solutions:

NET DEC-2015

1.) The number of squares in the figure is 

(a) 30

(b) 29 

(c) 25 

(d) 20

NET JRF PART - A : Questions and Solutions : NET DEC-2018

NET JRF PART - A : Questions and Solutions:

NET DEC-2018

1.) The curves of y = 2x² and y = 4x intersect each other at 

(a) only one point 

(b) exactly two points 

(c) more than two points 

(d) no point at all 

NET JRF PART - A : Questions and Solutions : NET DEC-2018

NET JRF PART - A : Questions and Solutions:

NET DEC-2018

1.) If ‘SELDOON’ means ‘NOODLES’ then what does ‘SPUOS’ mean? 

 (a) SALAD (b) SOUPS (c) RASAM (d) ONION 

NET JRF PART - A : Questions and Solutions : NET DEC-2018

NET JRF PART - A : Questions and Solutions:

NET DEC-2018

1.) If D = ABC + BCA + CAB, where A, B and C are decimal digits, then D is divisible by 

(a) 37 and 29 

(b) 37 but not 29

(c) 29 but not 37 

(d) neither 29 nor 37

NET JRF PART - A : Questions and Solutions : NET JUNE-2016

NET JRF PART - A : Questions and Solutions:

NET JUNE-2016

1.) What comes next in the sequence? 

NET JRF PART - A : Questions and Solutions : NET JUNE-2013

NET JRF PART - A : Questions and Solutions:

NET JUNE-2013

1.) How many rectangles (which are not squares) are there in the following figure? 

(a) 56 

(b) 70 

(c) 86 

(d) 100 

NET JRF PART - A : Questions and Solutions : NET JUNE-2018

NET JRF PART - A : Questions and Solutions:

NET JUNE-2018

1.) In a sequence of 24 positive integers, the product of any two consecutive integer is 24 . If the 17th member of the sequence is 6 , the 7th member is 

(a) 24 (b) 4 (c) 6 (d) 17 

NET JRF PART - A : Questions and Solutions : NET JUNE-2018

NET JRF PART - A : Questions and Solutions:

NET JUNE-2018

1.) Which of the following be the correct pattern in the empty square?

NET JRF PART - A : Questions and Solutions : NET JUNE-2018

NET JRF PART - A : Questions and Solutions:

NET JUNE-2018

1.) What is the value of ( 1 + 3 + 5 + 7 + ...... +  4033 ) + 7983 × 2017 ? 

 (a) 20170000 (b) 20172017 (c) 20171720 (d) 20172020

NET JRF PART - A : Questions and Solutions : NET DEC-2017

NET JRF PART - A : Questions and Solutions:

NET DEC-2017

1.) Find the missing number 

(a) 4 (b) 9 (c) 3 (d) 6

NET JRF PART - A : Questions and Solutions : NET JUNE-2017

NET JRF PART - A : Questions and Solutions:

NET JUNE-2017

1.) Which of the following is the odd one out? 

 (a) Isosceles triangle (b) Square 

 (c) Regular hexagon (d) Rectangle 

NET JRF PART - A : Questions and Solutions : NET JUNE-2017

NET JRF PART - A : Questions and Solutions:

NET JUNE-2017

1.) Which is the odd one out based on a divisibility test? 

 154, 286, 363, 474, 572, 682 

 (a) 474 (b) 572 (c) 682 (d) 154

NET JRF PART - A : Questions and Solutions : NET DEC-2016

NET JRF PART - A : Questions and Solutions:

NET DEC-2016

1.) In how many distinguishable ways can the letters of the word CHANCE be arranged? 

(a) 120 (b) 720 (c) 360 (d) 240 

NET JRF PART - A : Questions and Solutions : NET DEC-2016

NET JRF PART - A : Questions and Solutions:

NET DEC-2016

1.) Find out the missing pattern. 

NET JRF PART - A : Questions and Solutions : NET JUNE-2016

NET JRF PART - A : Questions and Solutions:

NET JUNE-2016

1.) Fill in the blank: F2, _, D8, C16, B32, A64 .

(a) C4 (b) E4 (c) C2 (d) G16 

NET JRF PART - A : Questions and Solutions : NET JUNE-2016

NET JRF PART - A : Questions and Solutions:

NET JUNE-2016

1.) The relationship among the numbers in each corner square is the same as that in the other corner squares. Find the missing number. 

(a) 10 (b) 8 (c) 6 (d)12 

NET JRF PART - A : Questions and Solutions : NET JUNE-2016

NET JRF PART - A : Questions and Solutions:

NET JUNE-2016

1.) Of the following, which is the odd one out? 

(a) Cone (b) Torus (c) Sphere (d) Ellipsoid 

NET JRF PART - A : Questions and Solutions : NET JUNE-2015

NET JRF PART - A : Questions and Solutions:

NET JUNE-2015

1.) If 

Here a, b, c and d are digits. Then a + b =

(a) 4 (b) 9 (c) 11 (d) 16

NET JRF PART - A : Questions and Solutions : NET DEC-2015

NET JRF PART - A : Questions and Solutions:

NET DEC-2015

1.)In each of the following groups of words is a hidden number, based on which you should arrange them in descending order. Pick the correct answer: 

E. Papers I Xeroxed 

F. Wi-Fi veteran 

G. Yourself ourselves 

H. Breaks even 

(a) H, F, G, H (b) E, G, F, H (c) H, F, G, E (d) H, E, F, G 

NET JRF PART - A : Questions and Solutions : NET JUNE-2015

NET JRF PART - A : Questions and Solutions:

NET JUNE-2015

1.) Which of the following values is same as

? 

(a) 2⁶ (b) 2⁸ (c) 2¹⁶ (d) 2²²²

Ans. : (c) 2¹⁶ .

GATE JRF PART - A : Questions and Solutions : GATE - 2018

GATE JRF PART - A : Questions and Solutions

GATE - 2018

1.) The area of an equivalent triangle is 3 . What is the perimeter of the triangle? 

 (a) 2 (b) 4 (c) 6 (d) 8

NET JRF PART - A : Questions and Solutions : NET JUNE-2015

NET JRF PART - A : Questions and Solutions:

NET JUNE-2015

1.) Each of the following pairs of words hides a number, based on which you can arrange them in ascending order. Pick the correct answer: 

I. Cloth reel 

J. Silent wonder 

K. Good tone

L. Bronze rod 

(a) L, K, J, I (b) I, J, K, L (c) K, L, J, I (d) K, J, I, L 

NET JRF PART - A : Questions and Solutions : NET DEC-2014

NET JRF PART - A : Questions and Solutions:

NET DEC-2014

1.) Continue the sequence 

  2 , 5, 10, 17, 28, 41, _, _, _

(a) 58, 77, 100  (b) 64, 81, 100 (c) 43, 47, 53 (d) 55, 89, 113

NET JRF PART - A : Questions and Solutions : NET DEC-2014

NET JRF PART - A : Questions and Solutions:

NET DEC-2014

1.) If n is a positive integer, then 

n ( n + 1 ) ( n + 2 ) ( n + 3 ) ( n + 4 ) ( n + 5 ) ( n + 6 )

 is divisible by 

(a) 3 but not 7 (b) 3 and 7 (c) 7 but not 3 (d) neither 3 nor 7 

NET JRF PART - A : Questions and Solutions : NET DEC-2014

NET JRF PART - A : Questions and Solutions:

NET DEC-2014

1.) What is the next number of the following sequence? 

2, 3, 4, 7, 6, 11, 8, 15, 10, …… 

(a) 12 (b) 13 (c) 17 (d) 19 

NET JRF PART - A : Questions and Solutions : NET DEC-2014

NET JRF PART - A : Questions and Solutions:

NET DEC-2014

1.) Find the missing letter:

 A ? Q E 

 C M S C 

 E K U A 

 G I W Y 

NET JRF PART - A : Questions and Solutions : NET JUNE-2014

NET JRF PART - A : Questions and Solutions:

NET JUNE-2014

1.) Find the missing number in the triangle,  

         

                                                                     

(a) 16 (b) 96 (c) 50 (d) 80 

Differentiation

Differentiation:

Differentiate the following with respect to x. 

1.) If y = x⁸, find dy/dx .

NET JRF PART - A : Questions and Solutions : NET JUNE-2014

NET JRF PART - A : Questions and Solutions:

NET JUNE-2014

1.) Find the missing letter 

A B C D 

F I L O 

K P U Z 

P W D ? 

(a) P (b) K (c) J (d) L 

NET JRF PART - A : Questions and Solutions : NET JUNE-2014

NET JRF PART - A : Questions and Solutions:

NET JUNE-2014

1.) If A × B = 24, B × C = 32, C × D = 48 then A × D

(a) cannot be found (b) is a perfect square 

(c) is a perfect cube (d) is odd 

NET JRF PART - A : Questions and Solutions : NET DEC-2013

NET JRF PART - A : Questions and Solutions:

NET DEC-2013

1.) ( 25 ÷ 5 + 3 – 2 × 4 ) + ( 16 × 4 - 3 ) =

(a) 61 (b) 22 (c) 41/24 (d) 16 

Ans. : (a) 61 .

NET JRF PART - A : Questions and Solutions : NET DEC-2013

NET JRF PART - A : Questions and Solutions:

NET DEC-2013

1.) What is the next number in the following sequence? 

 39, 42, 46, 50,…. 

(a) 52 (b) 53 (c) 54 (d) 55 

NET JRF PART - A : Questions and Solutions : NET DEC-2013

NET JRF PART - A : Questions and Solutions:

NET DEC-2013

1.) A circle of radius 7 units lying in the fourth quadrant touches the x -axis at (10, 0). The center of the circle has coordinates 

(a) ( 7, 7) (b) (-10, 7) (c) (10, - 7)(d) ( 7, -7)

Emma Haruka Iwao - A Japanese computer scientist

Emma Haruka Iwao 

Emma Haruka Iwao is a Japanese computer scientist. She is also a cloud developer advocate at Google. In March 2019, Emma Haruka Iwao calculated the world's most accurate value of π, which included 31.4 trillion digits, far past the previous record of 22 trillion. She earns the Guinness World record for most accurate value of π.

NET JRF PART - A : Questions and Solutions : NET DEC-2013

NET JRF PART - A : Questions and Solutions:

NET DEC-2013

1.) What is the perimeter of the given figure, where adjacent sides are at right angles to each other? 

(a) 20 cm (b) 18 cm (c) 21 cm (d) cannot be determined 

Carl Friedrich Gauss - A Great Mathematician

A Proof for Carl Friedrich Gauss's Mathematical Excellence:

Everyone knows about Carl Friedrich Gauss. He is a great Mathematician.

NET JRF PART - A : Questions and Solutions : NET JUNE-2013

NET JRF PART - A : Questions and Solutions:

NET JUNE-2013

1.) There is an equilateral triangle in the XY plane with its center at the origin. The distance of its vertices from the origin is 3.5 cm. The area of its circumcircle in cm ² is 

(a) 38.5 (b) 49 (c) 63.65 (d) 154