Quantitative Reasoning

Miscellaneous

Easy

For the Arithmetic Progression : $\frac{3}{2}, \frac{1}{2}, -\frac{1}{2}, -\frac{3}{2}$ ....the common difference d is :

-1

-2

-3

✅ Correct Option: 1

The common difference is any term minus the one before it. Here $1/2 - 3/2 = -1$ , and $-1/2 - 1/2 = -1$ as well, confirming $d = -1$ .

2026: 25 May Shift 2

Which of the following lists of numbers is/are an Geometric Progression :

(A) 2, 4, 8, 16, 32,........

(B) 3, 9, 27, 81,.......

(D) 21, 18,15,.......

Choose the correct answer from the options given below:

2026: 31 May Shift 2

Which of the following series of numbers is/are in Arithmetic Progression?

A. 6, 12, 18, 24, ...

B. 0, –2, –4, –6, ...

C. 4, 8, 12, 16, ...

D. 23, 20, 16, ...

Choose the correct answer from the options given below:

2023: 28 May Shift 1

If $5^x = 6^y = 30^7$ , then what is the value of $\frac{1}{x}+\frac{1}{y}$ ?

2026: 12 May Shift 1

In Geometric Progression, if 10th term is 3072 and 6th term is 192. Then 3rd term will be:

2026: 6 June Shift 1

Match List-I with List-II (Symbols have their usual meaning)

List-I (Expression)	List-II (Definitions)
(A) $a_n = a + [n-1]d$	(I) $n^{th}$ term of Geometric Progression
(B) $s_n = \frac{n}{2}[2a + (n-1)d]$	(II) Sum of n terms of Geometric Progression
(C) $a_n = ar^{n-1}$	(III) $n^{th}$ term of Arithmetic Progression
(D) $s_n = a\left(\frac{r^n - 1}{r-1}\right)$	(IV) Sum of n terms of Arithmetic Progression

Choose the correct answer from the options given below:

2026: 26 May Shift 1

Which of the following list of numbers is/are an Arithmetic Progression?

(A) 6, 12, 18, 24…

(B) 1, 3, 5, 7…

(D) 21, 18, 15…

Choose the correct answer from the options given below:

For the Arithmetic Progression : 32,12,−12,−32\frac{3}{2}, \frac{1}{2}, -\frac{1}{2}, -\frac{3}{2}23​,21​,−21​,−23​....the common difference d is :