Question
If log₁₀(x² − 1) = log₁₀(4x − 3), find
x.Solution
ATQ,
x² − 1 = 4x − 3 → x² − 4x + 2 = 0 x = [4 ± √(16 − 8)]/2 = [4 ± √8]/2 = 2 ± √2 Domain: x > 1 ⇒ both valid.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
Statement:
All Chairs are Sofa.
All bookshelf are Sofa.
All Beds are Chairs.
All cabinet are Sofas.
Conclusion: ...
Statements:
Only a few Root are Stem.
Only a few Stems are Tree.
All Stem are Branches.
All Branches are Soil.
Conc...
Statements: Some tiger are lion.
No cat is elephant.
Statements:
Some nails are toes.
Some fingers are hands.
No hand is a nail.
Conclusions:
I. Some fingers are not nails.
II. All nails can be fingers.
Statements: No cow is a bull.
No bull is a goat.
Some g...
Statements :
Few slate is chalk
Mostly chalk is board
Conclusions :
I. Some slate is not board
II. Some board can be slate
- In the question below some statements are given followed by three conclusions I, II and III. You have to take the given statements to be true even if they ...
Statements:
All Letters are Alphabets
Only few Letters are Numbers
All Digits are Alphabets
Conclusion:
I. Some L...
In the questions given below, there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be...
