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questions
List of practice Questions
A and B can complete a work in 12 days and 18 days respectively. They start together, but A leaves after 4 days. How many more days will B take to finish the remaining work?
CAT - 2025
CAT
Quantitative Aptitude
Time & Work
If the quadratic equation \(ax^2 + bx + c = 0\) has roots that differ by 4, and \(a + b + c = 12\), what is the value of \(b^2 - 4ac\)?
CAT - 2025
CAT
Quantitative Aptitude
Linear & Quadratic Equations
In a triangle ABC, the sides are in the ratio 3 : 4 : 5. If the area of the triangle is 96 sq units, what is its perimeter?
CAT - 2025
CAT
Quantitative Aptitude
Geometry
What is the significance of Article 14?
AIBE - 2025
AIBE
Legal Studies
Constitutional Laws
What are the essentials of theft?
AIBE - 2025
AIBE
Legal Studies
Indian Penal Code (IPC)
A plaint is filed under which Order?
AIBE - 2025
AIBE
Legal Studies
Code of Civil Procedure
What is primary evidence?
AIBE - 2025
AIBE
Legal Studies
Law of Evidence
Parties to a suit are governed under which Order?
AIBE - 2025
AIBE
Legal Studies
Code of Civil Procedure
What is secondary evidence?
AIBE - 2025
AIBE
Legal Studies
Law of Evidence
"Common intention" is defined under which provision?
AIBE - 2025
AIBE
Legal Studies
Criminal Procedure
FIR is registered under which section of CrPC?
AIBE - 2025
AIBE
Legal Studies
Criminal Procedure
Which provision allows arrest without warrant?
AIBE - 2025
AIBE
Legal Studies
Criminal Procedure
Section 65B deals with what type of evidence?
AIBE - 2025
AIBE
Legal Studies
Law of Evidence
What is talaq under Muslim Law?
AIBE - 2025
AIBE
Legal Studies
Marriage law
What is an ex-parte decree?
AIBE - 2025
AIBE
Legal Studies
Civil Procedure Code
What is a cognizable offence?
AIBE - 2025
AIBE
Legal Studies
Criminal Procedure
Who can proclaim a national emergency?
AIBE - 2025
AIBE
Legal Studies
Constitutional Laws
Which provision deals with appeals from original decrees?
AIBE - 2025
AIBE
Legal Studies
Civil Procedure Code
Which authority can grant bail?
AIBE - 2025
AIBE
Legal Studies
Criminal Procedure
Who can claim maintenance under Section 125 CrPC?
AIBE - 2025
AIBE
Legal Studies
Criminal Procedure
What are the essentials of a valid Hindu marriage?
AIBE - 2025
AIBE
Legal Studies
Hindu Marriage Act
Match the following:
Column I
Column II
(a) Lecture Method
(II) Teacher-centered, focuses on delivery
(b) Demonstration Method
(I) Learning by doing
(c) Project Method
(III) Students explore real-life problems
(d) Heuristic Method
(IV) Learning through discovery
CG Pre BEd - 2025
CG Pre BEd
Teaching Aptitude
Methods of Teaching
Four players — W, X, Y, Z — play a round-robin tournament (each plays each once).
A win gives 2 points, loss 0.
W scores more points than X.
Y wins exactly one match.
Z does not lose to X.
How many distinct possible point-tables exist for the four players?
CAT - 2025
CAT
Data Interpretation & Logical Reasoning (DILR)
Logical Reasoning
A delivery network allows routes from Start (S) to End (E) through intermediate hubs A, B, C.
Allowed edges:
S→A, S→B, A→C, A→E, B→C, C→E.
A route cannot visit more than 3 nodes including S and E.
How many valid routes from S to E are possible?
CAT - 2025
CAT
Data Interpretation & Logical Reasoning (DILR)
Logical Reasoning
Read the passage and answer:
Several historians argue that the decline of ancient civilizations was not solely due to environmental factors but also due to institutional rigidity. When rules and governance systems become resistant to change, societies lose flexibility and innovation capacity. Even mild environmental shocks can then trigger collapse because institutions cannot adapt quickly enough.
Question:
Which of the following can be inferred from the passage?
CAT - 2025
CAT
Verbal Ability & Reading Comprehension (VARC)
Reading Comprehension
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