Sequence and SeriesMCQPYQ July 21Question 6830 of 116

The sum of three numbers in a geometric progression is $28 $\displaystyle . When$ 7 $\displaystyle ,$ 2 $\displaystyle and$ 1$ are subtracted from the first, second and the third numbers respectively, then the resulting numbers are in arithmetic progression. What is the sum of squares of the original three numbers?

Select Your Answer (Keyboard: A, B, C, D)

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Correct Answer

✅ Option B — $456$

All Options:

A$510$
B$456$ ✓
C$400$
D$336$

Detailed Solution & Explanation

PYQ July 21

About This Chapter: Sequence and Series

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Arithmetic & Geometric Progressions

This chapter covers Arithmetic Progressions (AP) and Geometric Progressions (GP). Students learn how to find the nth term, sum of n terms, arithmetic/geometric means, and sum to infinity of a GP.

View Official ICAI Syllabus

Exam Strategy Tip

For complex 'sum of series' questions, a great hack is to substitute n = 1 and n = 2 into the question and the options to see which one matches, completely bypassing the formula.

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