Joint Entrance Examination

Graduate Aptitude Test in Engineering

1

MCQ (Single Correct Answer)

Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover the card numbered 1 is always placed in envelope numbered 2. Then the number of ways it can be done is

A

264

B

265

C

53

D

67

2

MCQ (Single Correct Answer)

Let $${{a_n}}$$ denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0.Let $${{b_n}}$$ = the number of such n-digit integers ending with digit 1 and $${{c_n}}$$ =the number of such n-digit integers ending with digit 0.

Which of the following is correct?

A

$${a_{17}} = {a_{16}} + {a_{15}}$$

B

$${c_{17}} \ne {c_{16}} + {c_{15}}$$

C

$${b_{17}} \ne {b_{16}} + {c_{16}}$$

D

$${a_{17}} = {c_{17}} + {b_{16}}$$

3

MCQ (Single Correct Answer)

Let $${{a_n}}$$ denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0.Let $${{b_n}}$$ = the number of such n-digit integers ending with digit 1 and $${{c_n}}$$ =the number of such n-digit integers ending with digit 0.

The value of $${{b_6}}$$ is

A

7

B

8

C

9

D

11

4

MCQ (Single Correct Answer)

The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is

A

75

B

150

C

210

D

243

On those following papers in MCQ (Single Correct Answer)

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced 2018 Paper 2 Offline (1)

JEE Advanced 2016 Paper 1 Offline (1)

JEE Advanced 2014 Paper 2 Offline (1)

IIT-JEE 2012 Paper 2 Offline (2)

IIT-JEE 2012 Paper 1 Offline (1)

IIT-JEE 2009 (1)

IIT-JEE 2008 (1)

IIT-JEE 2007 (1)

IIT-JEE 2005 Screening (2)

IIT-JEE 2002 Screening (1)

IIT-JEE 2001 Screening (1)

IIT-JEE 2000 Screening (1)

IIT-JEE 1989 (1)

IIT-JEE 1982 (3)

IIT-JEE 1979 (1)

Complex Numbers

Quadratic Equation and Inequalities

Permutations and Combinations

Mathematical Induction and Binomial Theorem

Sequences and Series

Matrices and Determinants

Vector Algebra and 3D Geometry

Probability

Trigonometric Functions & Equations

Properties of Triangle

Inverse Trigonometric Functions

Straight Lines and Pair of Straight Lines

Circle

Conic Sections

Functions

Limits, Continuity and Differentiability

Differentiation

Application of Derivatives

Indefinite Integrals

Definite Integrals and Applications of Integrals

Differential Equations