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1600 CAT Questions, 300 Video Solutions and 41 Topic Wise Tests

CAT Algebra questions from Linear equations and Quadratic equations that appear in the Quantitative Aptitude section of the CAT Exam consists of concepts from Equations and Algebra. Get as much practice as you can in these two topics because the benefits of being good at framing equations can be enormous and useful in other CAT topics as well. In CAT Exam, one can generally expect to get 1~2 questions from Linear Equations and Quadratic Equations. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.

SOLID MECHANICS
Q1.

In a strained material principal stresses at a point are 80 mpa ( tensile )  and 20 mpa ( compression ) . The tangential stress across a plane passing through that point inclined at 45 degree to the plane

: min

σx  = 80 mpa ( tensile )

σy = - 20 mpa ( compression )

θ = 45 °

Tangential stress ,

T = (σx – σy  / 2 )× Sin 2θ

  = (80 – ( - 20 ) / 2 ) ×  Sin ( 2 × 45 ° )

= 50 mpa

SOLID MECHANICS
Q2.

Total elongation of a prismatic bar of length L , weight W , Cross – sectional area A and the modular of electricity E , under its own weight , while hanging vertically , is –

: min

Explanation : -

Elongation of a prismatic bar under its own weight , while hanging vertically = ɣL2 / 2E

 Weight of rod = w = ɣAL

 

SOLID MECHANICS
Q3.

A block tested for shear stress the shear stress applied in the x – y plane was fixed to 4000 Mpa; the strain matrix corresponding to applied stresses is shown below. The shear modulus of test block is

[{\rm{strain]}}\; = \;\left[ {\begin{array}{ccccccccccccccc}{0.003}&{0.004}&{0.002}\\{0.004}&{0.006}&{0.005}\\{0.002}&{0.005}&{0.008}\end{array}} \right]

: min

Comparing given strain matrix to the general 3-D matrix of strain given below

G = 50 Gpa.