Mathematics · JEE

Arithmetic and Geometric progressions Mock Test for JEE

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A Arithmetic and Geometric progressions JEE mock test on Goodmarks lets you attempt 80+ timed MCQs with instant feedback. Use it to benchmark speed, accuracy, and readiness for JEE Main Mathematics.

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Syllabus context

Part of Sequence and Series in JEE Main Mathematics.

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Q1MathsUnit 6: Sequence and Series

Which of the following options is not a series?

Q2MathsUnit 6: Sequence and Series

A sum of Rs. 18750 is left by will by a father to be divided between two sons, 12 and 14 years of age, so that when they attain maturity at

18,

the amount received by each of them at 5 per cent simple interest will be the same. Find the sum allotted at present to each son?

Q3MathsUnit 6: Sequence and Series

The value of a machine depreciates at the rate of

10 \%

every year. it was purchased 3 years ago. If its present value is Rs. 8748 , its purchase price was

Q4MathsUnit 6: Sequence and Series

Ms. Kyle deposits an amount of Rs. 15400 to obtain a simple interest at the rate of

12.5 \%

for 4 years. What total amount will Ms. Kyle get at the end of 4 years?

Q5MathsUnit 6: Sequence and Series

Sum of nine terms of the series

\log a+

\log \frac{a^{2}}{b}+\log \frac{a^{3}}{b^{2}}+\log \frac{a^{4}}{b^{3}}+\ldots . . i s-

Q6MathsUnit 6: Sequence and Series

Which one of the following numbers is not a complete cube? 64,216,343,256

Q7MathsUnit 6: Sequence and Series

A man saved RS. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after.

Q8MathsUnit 6: Sequence and Series

Which term of the sequence

\mathbf{3}, \mathbf{8}, \mathbf{1 3}, \mathbf{1 8}, \dots \dots . .

\mathbf{4 9 8}

Q9MathsUnit 6: Sequence and Series

Find the number of triplets of integers in arithmetic progression, the sum of whose squares is 1994

Q10MathsUnit 6: Sequence and Series

Let

a_{n}

be an A.P. for which

d=8

and

a_{2}=12 .

Find

a_{1}

Q11MathsUnit 6: Sequence and Series

If the first, second and last terms of an

Q12MathsUnit 6: Sequence and Series

It is observed that the population of a city increase at the rate of

8 \%

per annum. If the present population of the city is

125000,

then the population of the city after 2 years will be

Q13MathsUnit 6: Sequence and Series

Find the common difference of an AP. whose first term is 100 and the sum of whose first six terms is five times the sum of the next six terms.

Q14MathsUnit 6: Sequence and Series

Split 69 late three pats such that they are in

A . P .

and the product of two smaller parts is 483

Q15MathsUnit 6: Sequence and Series

is a sum of numbers.

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Frequently asked questions

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For a topic-level test, aim for 20–30 minutes. For a full subject mock, allow 60–90 minutes to mirror JEE timing.

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Aim for 70%+ accuracy initially, then push toward 85%+ as your exam date approaches. Review explanations for every wrong answer.

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