Question Sets
Untimed practice sets. Take one here, or find them embedded right inside a course's concepts.
Pick a subject to see its topics.
Exam:
Syllabus:
6 sets
High School (11–12)Class 11Permutations and CombinationsJEE AdvancedOlympiadAEEE (Amrita)
+24 more exams
AMUEEEAP EAPCETBCECEBITSATCMI EntranceCOMEDK UGETGUJCETIAT (IISER)ISI Admission TestJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETNEST (NISER)OJEESRMJEEETS EAPCETUPESEATVITEEEWBJEE
Six olympiad questions on combinatorics, geometry and inequalities: seatings with a condition, triangles in a regular polygon, an angle bisector and the circumcircle, AM-GM with weights, the pigeonhole principle and inequalities in a triangle. Four have one correct option and two have one or more correct options. Every question has a hint and a full worked solution.
6 questions
High School (11–12)Class 12IntegralsJEE AdvancedAEEE (Amrita)AMUEEE
+24 more exams
AP EAPCETBCECEBITSATCMI EntranceCOMEDK UGETCUET UGGUJCETIAT (IISER)ISI Admission TestJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETNEST (NISER)OJEESRMJEEETS EAPCETUPESEATVITEEEWBJEE
Twelve JEE Advanced questions on integrals and their uses: substitution and integration by parts, the properties of definite integrals, reduction formulas, the Leibniz rule for an integral with variable limits, limits of sums, areas between curves, and an equation for a function given by its integral. Five have one correct option (one of them a match-the-lists question), four have one or more correct options and three ask for a number. Every question has a hint and a full worked solution.
12 questions
High School (11–12)Class 12Application of DerivativesJEE AdvancedAEEE (Amrita)AMUEEE
+24 more exams
AP EAPCETBCECEBITSATCMI EntranceCOMEDK UGETCUET UGGUJCETIAT (IISER)ISI Admission TestJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETNEST (NISER)OJEESRMJEEETS EAPCETUPESEATVITEEEWBJEE
Twelve JEE Advanced questions on continuity, differentiability and the uses of derivatives: modulus, greatest-integer and composite functions, the mean value theorem, rates of change, increasing and decreasing functions, greatest and least values, tangents and normals, and counting real roots with calculus. Five have one correct option (one of them a match-the-lists question), four have one or more correct options and three ask for a number. Every question has a hint and a full worked solution.
12 questions
High School (11–12)Class 11Sequences and SeriesJEE MainJEE AdvancedAEEE (Amrita)
+24 more exams
AMUEEEAP EAPCETBCECEBITSATCMI EntranceCOMEDK UGETGUJCETIAT (IISER)ISI Admission TestJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETNEST (NISER)OJEESRMJEEETS EAPCETUPESEATVITEEEWBJEE
Twenty JEE Main and JEE Advanced questions on sequences and series: arithmetic and geometric progressions, nth terms and sums, arithmetic and geometric means, infinite geometric series, greatest and least values from the inequality between the arithmetic and geometric means, and sums of squares and cubes of natural numbers. Most have one correct option; four ask for a number and three have one or more correct options. Every question has a hint and a full worked solution.
20 questions
High School (11–12)Class 11 and 12Relations and FunctionsJEE MainJEE AdvancedAEEE (Amrita)
+22 more exams
AMUEEEAP EAPCETBCECECMI EntranceCOMEDK UGETGUJCETIAT (IISER)ISI Admission TestJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETNEST (NISER)OJEESRMJEEETS EAPCETUPESEATVITEEE
Twenty JEE Main and JEE Advanced questions on sets, relations and functions: intervals and set operations, reflexive, symmetric, transitive and equivalence relations, domain and range, one-one and onto functions, composition and inverse, functional equations, counting functions and relations, and reading graphs. Most have one correct option; four ask for a number and three have one or more correct options. Every question has a hint and a full worked solution.
20 questions
High School (11–12)Class 11Complex NumbersJEE MainJEE AdvancedAEEE (Amrita)
+24 more exams
AMUEEEAP EAPCETBCECEBITSATCMI EntranceCOMEDK UGETGUJCETIAT (IISER)ISI Admission TestJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETNEST (NISER)OJEESRMJEEETS EAPCETUPESEATVITEEEWBJEE
Twenty JEE Main and JEE Advanced questions on complex numbers and quadratic equations: the algebra of complex numbers, modulus, conjugate and argument, loci and figures in the Argand plane, the polar form and powers, roots and coefficients, the nature and position of roots, forming equations with given roots, common roots and integer roots. Most have one correct option; four ask for a number and three have one or more correct options. Every question has a hint and a full worked solution.
20 questions