Quantitative Reasoning

Miscellaneous

Easy

How many terms are there in the A.P. 3, 7, 11, ............ 407 ?

100

101

102

✅ Correct Option: 4

First term a = 3, common difference d = 4, last term $a_n$ = 407.

$a_n = a + (n-1)d$

$407 = 3 + (n-1) \times 4$

$(n-1) \times 4 = 404$

$n - 1 = 101$ , so n = 102.

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: 20 May Shift 2

The sum of the first 10 terms of an Arithmetic Progression is 250. If the first term is 15, what is the 10th term?

2022: 24 Aug Shift 1

How many students failed in both subjects English and Hindi ?

2026: 30 May Shift 1

From the given series, which are in Arithmetic Progression?

A. 7, 14, 21, 28, …

B. 9, 17, 28, 40, ...

C. 3, 8, 13, 18, …

D. 1, –1, –3, -5, …

Choose the correct answer from the options given below:

2023: 5 June Shift 2

Find the 50th term of the A.P. 5, 11, 17, 23, ......

2022: 8 Aug Shift 1

The total number of people owing books more than '40' is

Solution