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It also assesses deductive and inductive logic, propositions and truth values, relations on ordered pairs, and foundational geometry and trigonometry including angles, sectors, circular arc reasoning, and trigonometric identities.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/nust-past-paper-engineering/456245/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/nust-past-paper-engineering/456245.png","ImageObject",300,407,{"name":92,"@type":93},"Riley","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-23","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What topics are included in this Engineering past paper?","Question",{"text":113,"@type":114},"It covers sets and subsets, rational/irrational concepts, integers and natural numbers, complex numbers (conjugates, inverses, algebra), basic logic and propositions, relations on ordered pairs, and trigonometry/geometry questions.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are questions presented in the paper?",{"text":118,"@type":114},"Questions are structured as multiple-choice items, each with four options (a–d).",{"name":120,"@type":111,"acceptedAnswer":121},"Does the paper include trigonometry and geometry?",{"text":122,"@type":114},"Yes. It includes questions about cosine/sine values, radian-based measures, and sector area/angle calculations using circular geometry.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},456245,1790811759,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":146},1374391975076,"https://ap-avatar.wpscdn.com/avatar/14000253ca4ec9f6853?x-image-process=image/resize,m_fixed,w_180,h_180&k=1783305029341752051","NUST Past Paper – Engineering  \nTotal Time: 3 Hrs Total Question: 200  \n1. The subset A of B which is different from the set of B itself, is called  \na. Proper subset  \nb. Improper subset  \nc. Subset  \nd. Equal set  \n2. 0.123456789123456789123456789   \na. An irrational number  \nb. A rational number  \nc. A whole number  \nd. A –ive number  \n3. Every integer number is also  \na. Irrational number  \nb. Whole number  \nc. Natural number  \nd. Rational number  \n4. The number √􀝊 , where n is a prime number is  \na. A Rational number  \nb. An Irrational number  \nc. A Natural number  \nd. integer number  \n5. The additive inverse of real numbers  \na. 0  \nb. 1  \nc. 2  \nd. 3  \n6. If z = a + b then?  \na. –(a + b)  \nb. –a + b  \nc. a – b  \nd. none  \n7. The multiplicative inverse of 2 is  \na. 0  \nb. 1  \nc. -2  \nd. ½  \n8. Conjugate of (-3 , 4) is  \na. (3 , 4)  \nb. (3 ,-4)  \nc. (-3 ,-4)  \nd. (-3 , 4)  \n9. 1 > -1 -3 > -5, this property is called  \na. Additive property  \nb. Transitive property  \nc. Multiplicative property  \nd. Closure property  \n10. It Q , R. are any sets, then Q – R =  \na. Q ∩ ( 􀜳 − 􀜴)  \nb. Q−( 􀜳 ∪ 􀜴)  \nc. Q−( 􀜳 ∩ 􀜴)  \nd. Q ∪ ( 􀜳 − 􀜴)  \n11. The equation| x + 4| = x has solution  \na. X = -2  \nb. X = 2  \nc. X = -4  \nd. X = 4  \n12. Geometrically, the modulus of a complex number represents its distance from the  \na. Point (1 , 0)  \nb. Point (0 , 1)  \nc. Point (1 , 1)  \nd. Point (0 , 0)  \n13. Associative law of multiplication  \na. ab = ba  \nb. a( bc) = ( ab )c  \nc. a( a + b ) = ab +bc  \nd. (a + b)c = ac + bc  \n14. a.a-1 = a-1 .a =1 is a  \na. Commutative law of multiplication  \nb. Multiplicative identity  \nc. Associative law of multiplication  \nd. Multiplicative inverse  \n15. ( a +bi )–( c + di ) =  \na. (a + b) = ( c + d)  \nb. (a + c) + i( b + d)  \nc. (a-c) + i( c-d)  \nd. (a-c) + i( b-d)  \n16. ( a , b) +(-a , b) =  \na. ( 0 , 0 )  \nb. ( a , b )  \nc. ( -a , -b )  \nd. ( 1 , 1 )  \n17. ( a , 0 ) x( c , 0 ) =  \na. (0 ,ac)  \nb. (ac,0)  \nc. (0,0)  \nd. ( a , c )  \n18. ( 7 , 9 ) + ( 3 ,-5) =  \na. ( 4 , 4)  \nb. (10 ,4)  \nc. ( 9 , -5 )  \nd. ( 7 , 3 )  \n19. If z1 =2 + 6i and z2 =3 + 7i, then which expression defines the products of z1 and z2?  \na. 36 + (-32)i  \nb. -36 + 32i  \nc. 6 + (-11)i  \nd. 0, + (-12)i  \n20. Which element is the additive inverse of (a, b) in complex numbers?  \na. ( a , 0)  \nb. ( 0 , b)  \nc. ( a , b)  \nd. ( -a , -b)  \n21. The set (Z , t ) forms a group  \na. Forms a group w.r.t addition  \nb. Non commutative group w.r.t multiplication  \nc. Forms a group w.r.t multiplication  \nd. Does not form group  \n22. Which of the following has the same value as i113?  \na. i  \nb. -1  \nc. –i  \nd. 1  \n23. P: Islamabad is a capital of Pakistan q: Lahore is not a city of Pakistan, the conjunction of p q is  \na. False  \nb. True  \nc. Not valid  \nd. Known  \n24. A disjunction of two statement p and q is true if  \na. P is false  \nb. Both p and q is true  \nc. One of P and q is true  \nd. Q is false  \n25. The set of real number R is a subset of  \na. The set of natural Numbers N  \nb. The set of inters Z  \nc. The set of complex numbers C  \nd. The set of even integer E  \n26. An element ‘b’ of a set B can be written as  \na. b 􀂎 B  \nb. b \u003C B  \nc. b 􀂏 B  \nd. B 􀂏 b  \n27. The set A is  \na. Improper subset of A  \nb. Proper submit of A  \nc. Not a subset of A  \nd. Not superset of A  \n28. A set containing only one element is called the  \na. Empty set  \nb. Singleton set  \nc. Null set  \nd. Solution set  \n29. To each element of a group there correspond how many inverse element  \na. Only one  \nb. At least one  \nc. More than one  \nd. Two  \n30. The set of students of your class is  \na. Infinite set  \nb. Finite set  \nc. Empty set  \nd. Null set  \n31. To draw general conclusions from accepted or well-known facts is called:  \na. Induction  \nb. Proposition  \nc. Deduction  \nd. Aristotelian logic  \n32. The truth value of the proportion is a positive number or 2+2 = 4 is  \na. True  \nb. False  \nc. Contingency  \nd. None  \n33. The draw general conclusions from a limited number of observati","cbCaiu9Q4MTek4PR","https://ap.wps.com/l/cbCaiu9Q4MTek4PR","pdf",696406,28,"English","# Engineering Mathematics Practice Questions\n## Sets, Subsets, and Functions of Sets\n## Number Systems and Inverses\n## Complex Numbers and Algebra\n## Logic and Propositions\n## Relations and Ordered Pairs\n## Trigonometry and Geometry","[{\"question\":\"What topics are included in this Engineering past paper?\",\"answer\":\"It covers sets and subsets, rational/irrational concepts, integers and natural numbers, complex numbers (conjugates, inverses, algebra), basic logic and propositions, relations on ordered pairs, and trigonometry/geometry questions.\"},{\"question\":\"How are questions presented in the paper?\",\"answer\":\"Questions are structured as multiple-choice items, each with four options (a–d).\"},{\"question\":\"Does the paper include trigonometry and geometry?\",\"answer\":\"Yes. It includes questions about cosine/sine values, radian-based measures, and sector area/angle calculations using circular geometry.\"}]","NUST Past Paper - Engineering | PDF",1790745414,71]