## Ordinary Differential Equations Mcqs with Answers

Ordinary Differential Equations Mcqs with Answers consist of mcqs. These mcqs are very important for PPSC, FPSC, NTS, CSS, PMS, and all admission Tests. Answers will be available soon 1.  An ordinary differential equation is a differential equation containing one or more dependent variables of _____________independent variable(s).A. OneB. TwoC. More than oneD. More than two2.    Number of independent variables in partial differential equation areA. TwoB. ThreeC. More then twoD. More then one 3. The order of     is:A. 1B. 2C. 3D. None of these4. The degree of     is:A. 1B. 2C. 3D. None of these5. The order of the differential equation   is:A. 1B. 2C. 3D. 4 6.   The degree of the differential equation   is:A. 1B. 2C. 3D. 4 7. The order of differential equation is:A. 1B. 2C. 3D. 48. The degree of differential equation is:A. 1B. 2C. 3D. 49. An ordinary differential equation of order n, is said to be_________________if F is a linear function of the variables .A. LinearB. Non LinearC. QuadraticD. None of these10. Which of the following equations is linear?A. B. C. D. 11. The graph of a particular solution (integral) is called ... of the differential equation.A. LocusB. Differential curveC. Integral curveD. All of these12. A solution of the differential equation  is:A. y = 2B. y = 2xC. y = 2x -…

## Mathematics Practice Test

Mathematics Practice Test consist of math mcqs test papers. Test also consist of answers and each question explanations. These mcqs were uploaded on daily basis. So visit this page on daily basis for math best preparation Q.01 How many conjugaccy classes in   ?A. 2B. 3C. 4D. 5 Q.02 If G is abelian then G/z(G) isA. Non cyclic B. cyclicC. Non abelianD. None Q.3 Let Z be the Ring Of integars the total number of Homomorphism From Z to Z is A. 1B.  3C.   2 D.  none of these Q.4  Let R be the usual metric space and Z be the set of integer then the clouser of Z isA.   ZB.   RC.   QD.   N Q.5 If N is any Normal sub-group of then isA.  AbelienB.  Non cyclicC   Both a and bD.  None of these Q.6 If w is the imaginary cub root of unity then isA.   128wB.  -128wC.  128w²D. -128w² Q.7 Let G be a group then factor isA. CyclicB. NormalC Both a and bD. None Q.8 if V is a vector and div V=0 then V isA.  Irrotational B.  SolenoidC.  HermitionD.  None of these Q.9  Consider these two functions f(x) = x² and g(x) = 2x.  What is the area between these two functions between the x values of 0 and 1? A.  1/3 B.   2/3…

## PUNJAB PUBLIC SERVICE COMMISSION WRITTEN TEST FOR THE POST OF LECTURER IN MATHEMATICS 2015

PUNJAB PUBLIC SERVICE COMMISSION WRITTEN TEST FOR THE POST OF LECTURER IN MATHEMATICS 2015 Q.01 __________________ A.   0 B.   Divergent C.   -4 D.   4 Q.02  The period of function  is A.  B.  C.  D.  Q.03 is irrotational if a,b,c are__________ A.   4,-3,5 B.   4,5,-3 C.   -3,4,5 D.   2,3,5 Q.04   is solenoidal if a = ________ A.   1 B.   2 C.   3 4.   4 Q.05    along the path A.   56 B.   60 C.   62 D.  64  Q.06 If S is the closed surface and v is the volume enclosed by S then A. vB.  2v C.  3v D.  4v Q.07 Centrifugal acceleration is A.  B.  C.  D.  Q.08  Number of degrees of freedom of two particles connected by a rigid rod moving treely in a plane Is A. 2B.  3C.  4D.  5 Q.09  The centrold of a uniform semicircular wire of radius a is A. B.  C.  D.  Q.10  Moment of inertia of a rectangular plate with sides a,b about an axis perpendicular to plate and passing through vertix is A. B.  C. D.  Q.11 "Every bounded infinite set has at least one limit point" is the statement of A.   Heln-Borel Theorem B.   Welerstrass-Bolzano Theorem  C.   Contor's Intersection Theorem D.   None of these Q.12  _______________ A.  B.   1 C.   Does not exist D.   -1 Q.13 Cauchy-Riemann…

Continue Reading PUNJAB PUBLIC SERVICE COMMISSION WRITTEN TEST FOR THE POST OF LECTURER IN MATHEMATICS 2015

## PUNJAB PUBLIC SERVICE COMMISSION WRITTEN TEST FOR THE POST OF LECTURER IN MATHEMATICS 2011

PUNJAB PUBLIC SERVICE COMMISSION WRITTEN TEST FOR THE POST OF LECTURER IN MATHEMATICS 2011 Time Allowed: Two Hours  Marks: 100 Q.01 A ring R is a Boolean Ring if, for all x R (A) x²= x (B) x² = -x (C) x² = 0 (D) x² = 1 Q.2  The group of Quaterninons is a non abelian group of order (A) 6 (B) 8 (C) 10 (D) 4 Q.3 Every group of prime order is (A) an abelian but not cyclic (B) an abelian group  (C) a non-abelian group (D) a Cyclic group Q.4   Any two conjugate subgroups of a group G are (A) Equivalent  (B) Similar (C) isomorphic  (D) None of these Q.5  If H is a subgroup of index ________ then H is a normal subgroup of G. (A) 2  (B) 4 (C) Prime number  (D) None of these Q.6  nz is a maximal ideal of a ring Z if and only if n is (A) Prime number (B) Composite number  (C) Natural number (D) None of these Q.7  Let G be a cyclic group of order 24 generated by a then order of      is (A) 2 (B) 12 (C) 10 (D) None of these Q.8  If a vector space V has a basis of n vectors, then every basis must consist of exactly…

Continue Reading PUNJAB PUBLIC SERVICE COMMISSION WRITTEN TEST FOR THE POST OF LECTURER IN MATHEMATICS 2011

## SOLUTIONS OF TRIGONOMETRIC EQUATIONS Ch:14 Fsc First Year

SOLUTIONS OF TRIGONOMETRIC EQUATIONS Ch:14 Fsc First Year consist of 50+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1   Solution set of 2cos = 0 is  (a)   finite (b)  infinite (c)  (d)  None (Gujranwala board,2004) Q.2   The general solution of the equation 1+cos x = 0 is (a)  (b)  (c)  (d)  (Multan board,2004) Q.3   If sin x = 1/ 2, then x =  (a)    (b)  (c)  (d)      (Gujranwala board,2006) Q.4   Solution of 1 + cos x= 0 is  (a)      (b)      (c)    2  (d)   None of these Q.5   cos x = has a solution (a)  (b)  (c)  (d)  (Lahore board,2005) Q.6   If sin x + cos x = 0, then x = (a)  (b)  (c)  (d) None of these (Lahore board,2004) Q.7   Solutions of the equation 1+cos =0 are in quadrants (a) II & III (b)  I & IV (c)  II & IV (d)  None of these (Lahore board,2006)

Continue Reading SOLUTIONS OF TRIGONOMETRIC EQUATIONS Ch:14 Fsc First Year

## INVERSE TRIGONOMETRIC FUNCTIONS MCQs Ch:13

INVERSE TRIGONOMETRIC FUNCTIONS MCQs Ch:13 Fsc First Year consist of 50+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1   The inverse of a function is a function if the function is (a)   1-1 (b)   onto (c)   function is onto (d)    all of these (Gujranwala board,2006) Q.2  = (a)      (b)      (c)      (d)     None (Gujranwala board,2004) Q.3    = (a)    (b)  (c)    (d)  (Lahore board,2005) Q.4    The value of  is (a)  (b)  (c)  (d)  None (Multan board,2004) Q.5    is equal to (a)    (b)  (c) 2 (d) (Gujranwala board,2007)

Continue Reading INVERSE TRIGONOMETRIC FUNCTIONS MCQs Ch:13

## APPLICATIONS OF TRIGONOMETRY  MCQs Ch:12 Fsc First Year

APPLICATIONS OF TRIGONOMETRY  MCQs Ch:12 Fsc First Year consist of 150+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1 The right angled triangle has one of its angles of measure (a)   360° (b)   270⁰ (c)    225⁰ (d)    90⁰ (Lahore board,2005) Q.2  The greatest angle is Opposite to (a)   smallest side (b)   greatest side (c)    same side (d)    right side (Lahore board,2007) Q.3  In-radius r of a triangle is (a)  (b)  (c)    (d)    None of these (Lahore Board,2004) Q.4   A circle passing through the vertices of a triangle is called (a)   circum-circle (b)   in-circle (c)    escribed circle (d)     None of these (Gujranwala board,2006) Q.5   If in a right angled triangle base=30.8, hypotenuse = 37.2. then will be  (a)   0.7032 (b)   0.8280 (c)    0.7513 (d)    0.8655 (Lahore board,2007)

Continue Reading APPLICATIONS OF TRIGONOMETRY  MCQs Ch:12 Fsc First Year

## TRIGONOMETRIC FUNCTIONS AND THEIR GRAPHS MCQs

TRIGONOMETRIC FUNCTIONS AND THEIR GRAPHS MCQs Ch:11 Fsc First Year consist of 150+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1  The domain of sin x is  (a)   [-1,1] (b)    R (c)    R-{0} (d)    R-{1} Q.2  The domain of cos x is  (a)   [-1,1] (b)    R (c)    R-{0} (d)    R-{1} Q.3   The range of sin x is  (a)   [-1,1] (b)   [-1,0] (c)     [-2,2] (d)    None of these  Q.4  The range of cos x is  (a)   [0,1] (b)   [-1,0] (c)     R (d)     [-1,1] Q.5 Domain of cos x is  (a)    Z (b)    Q (c)     R (d)    None of these

Continue Reading TRIGONOMETRIC FUNCTIONS AND THEIR GRAPHS MCQs

## TRIGONOMETRIC IDENTITIES MCQs Ch:10 Fsc First Year

TRIGONOMETRIC IDENTITIES MCQs Ch:10 Fsc First Year consist of 150+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1   sin (-) =  (a)    sin (b)    - sin (c)      - cos (d)       cos (Lahore board,2007) Q.2   sec (-300⁰) = (a)   4 (b)   3 (c)   2 (d)    1 Q.3   cot( -855) = (a)    2 (b)    1 (c)   -1 (d)  0 Q.4   sec(-960)= (a)    2 (b)    1 (c)    -1 (d)    -2 Q.5   tan(-135⁰)= (a)    (b)  (c)    (d)    1

Continue Reading TRIGONOMETRIC IDENTITIES MCQs Ch:10 Fsc First Year