26 cardsCUET UG

CUET UG Reasoning, Quantitative and Verbal Revision

Essential revision flashcards covering mathematical formulas, logical reasoning patterns, grammar rules, and core general awareness for CUET UG.

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Compound Interest and Simple Interest Difference for 2 Years

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Compound Interest and Simple Interest Difference for 2 Years

D = P * (R / 100)^2, where D is the difference between CI and SI, P is principal, and R is annual interest rate.

Rule of Alligation for Mixing Two Ingredients

(Quantity of Cheaper) / (Quantity of Dearer) = (Price of Dearer - Mean Price) / (Mean Price - Price of Cheaper).

Work and Time Reciprocal Rate Rule

If A takes x days and B takes y days, their combined rate is 1/x + 1/y = (x + y)/(xy); Total time together is (xy)/(x + y) days.

Relative Speed for Bodies Moving in Same vs Opposite Directions

Opposite directions (towards/away): v_rel = v1 + v2; Same direction (overtaking): v_rel = |v1 - v2|.

Speed Conversion Between km/h and m/s

1 km/h = 5/18 m/s; 1 m/s = 18/5 km/h; Multiply by 5/18 to convert km/h to m/s, multiply by 18/5 for m/s to km/h.

Total Surface Area and Volume of a Right Circular Cylinder

Curved surface area CSA = 2 pi r h; Total surface area TSA = 2 pi r (r + h); Volume = pi r^2 h.

Total Surface Area and Volume of a Right Circular Cone

Slant height l = sqrt(r^2 + h^2); Curved surface area CSA = pi r l; Total surface area TSA = pi r (r + l); Volume = 1/3 pi r^2 * h.

Net Percentage Change for Two Successive Changes a% and b%

Net change = [ a + b + (a * b)/100 ] %; Use positive values for increase and negative values for decrease.

Formula for Angle Between Clock Hands at Hour H and Minute M

theta = | 30H - (11/2)M | degrees; At H:M, angle between hands is calculated directly.

Mirror Image Time Formula for a 12-Hour Clock

Mirror Time = 11:60 - (Actual Time); e.g., for 8:35, Mirror Time = (11 - 8) : (60 - 35) = 3:25.

Odd Days in 100, 200, 300, and 400 Gregorian Years

100 years = 5 odd days; 200 years = 3 odd days; 300 years = 1 odd day; 400 years = 0 odd days.

Formula for Total Persons in a Linear Row from Left and Right Ranks

Total = Rank_left + Rank_right - 1; Position_right = Total - Position_left + 1.

Alphabetical Letter Pairing (Reverse Alphabet Sum 27)

Opposite letter pairs sum to 27: A-Z (1+26), B-Y (2+25), C-X (3+24), D-W, E-V, F-U, G-T, H-S, I-R, J-Q, K-P, L-O, M-N.

Standard Dice Opposite Faces Sum Rule

On a standard die, opposite faces always sum to 7: 1 is opposite 6, 2 is opposite 5, 3 is opposite 4.

Subject-Verb Agreement with 'Neither... nor' and 'Either... or'

When two subjects are joined by 'neither... nor' or 'either... or', the verb agrees in number and person with the nearer subject.

Subjective vs Objective Pronoun Case Following Prepositions

Pronouns following prepositions must always be in the objective case (e.g., 'between you and me', NOT 'between you and I').

Third Conditional Sentence Structure (Past Unreal)

If + past perfect (had + V3), ... would have + past participle (V3); 'Would have' never appears in the 'if' condition clause.

Subjunctive Mood with Verbs of Demand and Insistence

Verbs like insist, demand, recommend take a 'that' clause with bare base verb: 'insisted that he submit the form' (not 'submits').

Fundamental Rights Articles Breakdown (Indian Constitution)

Right to Equality (14-18), Right to Freedom (19-22), Right against Exploitation (23-24), Freedom of Religion (25-28), Cultural/Educational (29-30), Constitutional Remedies (32).

Article 32 vs Article 226 for Writ Jurisdiction in India

Article 32 empowers the Supreme Court to issue writs for Fundamental Rights; Article 226 empowers High Courts for Fundamental and other legal rights.

42nd Constitutional Amendment Act 1976 Key Additions

Added 'Socialist', 'Secular', and 'Integrity' to the Preamble; added Part IVA (Fundamental Duties, Article 51A) upon Swaran Singh Committee advice.

Layers of the Atmosphere from Surface Upwards

Troposphere (weather, 0-12 km) -> Stratosphere (ozone layer, planes) -> Mesosphere (meteors) -> Thermosphere/Ionosphere -> Exosphere.

Tropic of Cancer in India

23.5 degrees North latitude passes through 8 Indian states: Gujarat, Rajasthan, Madhya Pradesh, Chhattisgarh, Jharkhand, West Bengal, Tripura, Mizoram.

Monetary Policy vs Fiscal Policy Distinction

Monetary Policy: Managed by Reserve Bank of India (repo rate, CRR, money supply); Fiscal Policy: Managed by Ministry of Finance (taxation, government expenditure).

Universal Red Cell Donor vs Universal Plasma Donor

Universal RBC donor: O negative (lacks A, B, and Rh antigens); Universal RBC recipient: AB positive; Universal plasma donor: AB positive.

Inclusion-Exclusion Principle for Two Sets A and B

n(A union B) = n(A) + n(B) - n(A intersection B); Neither A nor B = Total - n(A union B).

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