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JEE • MATHEMATICS • ERRORS & APPROXIMATION

Errors & approximation practice · Medium

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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1 Medium

1 of 5

Application +4 | -1

\log _{10} 2=0.3010

and

\log _{10} 3=0.4771

then number of ciphers after decimal before a significant figure comes in

\left(\frac{5}{3}\right)^{-100}

View answer and explanation

Correct option: B

Option C (23) is incorrect, but Option B (22) is correct because the characteristic of the logarithm is -23, implying 22 ciphers after the decimal point.

2 Medium

2 of 5

Application +4 | -1

The approximate value of

\sqrt[3]{{28}}

View answer and explanation

Correct option: B

3.037

Option B (3.037) is correct because it is the approximate cube root of 28 calculated using logarithms.

3 Medium

3 of 5

Application +4 | -1

If the ratio of base radius and height of a cone is

1:2

and percentage error in radius is

\lambda \%

, then the error in its volume is

View answer and explanation

Correct option: C

3\lambda \,\%

Option C (

3\lambda \,\%

) is correct because the error in volume is three times the error in the radius when the height is twice the radius.

4 Medium

4 of 5

Application +4 | -1

y=x^4-10

and if

x

changes from 2 to

1.99

, than the approximate change in

y

View answer and explanation

Correct option: B

-0.32

Option B (-0.32) is correct because it represents the approximate change in y calculated using differentials.

5 Medium

5 of 5

Application +4 | -1

{\log _e}4 = 1.3868,

, then

{\log _e}4.01 =

View answer and explanation

Correct option: C

1.3893

Option C (1.3893) is correct because it is the approximate value of

{\log _e}4.01

calculated using differentials.

Revision notes and key takeaways

Review ERRORS & APPROXIMATION in your textbook or class notes, then use this set to check your understanding.

Key Takeaways

✓ This set contains 5 single-correct-answer MCQs on ERRORS & APPROXIMATION.
✓ Try each question before opening its answer. Read the explanation where one is available.
✓ Sign in to save submitted answers. Revisit incorrect answers alongside your textbook or class notes.

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