MATHEMATICAL LOGIC: September 2020

Sunday, September 27, 2020

Tuesday, September 22, 2020

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 

Monday, September 21, 2020

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 ?
0.330.33 , 0.440.44 , π-1/π , e-1/e
a.) 0.330.33
b.) 0.440.44 
c.) π-1/π 
d.) e-1/e
Ans. : (d) e-1/e .