Quantitative Reasoning

Miscellaneous

Easy

If the 2nd and 10th terms of an Arithmetic Progression (AP) are 6 and -10 respectively, which term of this AP is zero?

4th

5th

6th

7th

✅ Correct Option: 2

$a_{10}-a_2=8d=-16$ , so $d=-2$ and $a=a_2-d=8$ .

Setting $a_n=8+(n-1)(-2)=0$ gives $n-1=4$ , so $n=5$ . The 5th term is zero.

2022: 24 Aug Shift 1

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2026: 25 May Shift 1

Determine the Arithmetic Progression whose third term is 5 and the seventh term is 9.

2022: 26 Aug Shift 1

If $\Delta$ stands for the operation on adding first number to the twice of the second number. Then, find the value of $(2\ \Delta\ 3)\ \Delta\ 4$ .

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:

2023: 24 May Shift 3

If arithmetic mean and geometric mean of roots of a quadratic equation are 8 and 5 respectively, then the quadratic equation is:

2022: 24 Aug Shift 1

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Solution