CUET General Test Quantitative Reasoning > Miscellaneous PYQs

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:

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:

How many terms are there in the Arithmetic Progression given below? 7, 13, 19, ..., 205

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:

What will come in place of the question mark (?) in the following sequence? $125 \times 24 + 60\%\ of\ 660 = 4 \times ?$

The algebraic identity in List-I and List-II are given below. Match List-I with List-II for correct relation between them. | List-I | List-II | |---|---| | (A) $(a+b)^2$ | (I) $a^2 + b^2 - 2ab$ | | (B) $(a-b)^2$ | (II) $a^2 + b^2 + 2ab$ | | (C) $(a+b)^3$ | (III) $a^3 - b^3 - 3ab(a-b)$ | | (D) $(a-b)^3$ | (IV) $a^3 + b^3 + 3ab(a+b)$ |

It is observed that in each case, every term except the first term bears a constant ratio to the term immediately preceding it. Such sequences are called:

Which of the following list of numbers is/are an Arithmetic Progression? (A) 6, 12, 18, 24… (B) 1, 3, 5, 7… (C) -3, 3, -3, 3… (D) 21, 18, 15… Choose the correct answer from the options given below:

Which of the following lists of numbers is/are an Geometric Progression : (A) 2, 4, 8, 16, 32,........ (B) 3, 9, 27, 81,....... (C) -3, -6, -12, -24,....... (D) 21, 18,15,....... Choose the correct answer from the options given below:

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

How many terms are there in the series 201, 208, 215, ....., 369?

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

The 21st term of an Arithmetic Progression, whose 11th term is 38 and 16th term is 73, will be:

The fifth term of an Arithmetic Progression is 20 and the twelfth term is 48. What is the common difference?

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

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

Consider the 15th term of the following Arithmetic Progression (AP). A. 2, 7, 12, ... B. 10, 7, 4, ... C. 3, 8, 13, ..., 253 D. 1, -1, -3, -5, ... Arrange the 15th term of the above APs in ascending order. Choose the correct answer from the options given below:

Which of the following list of numbers is/are in Geometric Progressions ? (A) 6, 12, 24, 48... (B) 2, 6, 18, 20... (C) 3, 9, 27, 81... (D) 4, 12, 36... Choose the correct answer from the options given below:

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

If the product of n positive numbers is $n^n$, then what is the minimum value of their average for n = 6?

If : $a + b + c = 14$ and $a^2 + b^2 + c^2 = 96$, then $(ab + bc + ca)$ is

If $\log_8 x = 2/3$, then the value of X is:

The sum of an Infinite geometric series is 4 and the sum of the cubes of the terms of the same GP is 192. The common ratio of the original geometric series is:

If $\frac{x}{(b-c)(b+c-2a)} = \frac{y}{(c-a)(c+a-2b)} = \frac{z}{(a-b)(a+b-2c)}$ then value of $x + y + z$ is:

What is the value of $\left(1-\frac{1}{n}\right)+\left(1-\frac{2}{n}\right)+\left(1-\frac{3}{n}\right)+\cdots$ upto n terms?

Which should replace the question mark $(4.25 + 2.75)^2 + ? = 5^3 - (9 \times 8)$

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

If $243^{3x} = 27^{(4x-1)}$, then the value of $4^x$ is:

Find the A.P. whose 3rd term is 18 and 12th term is 72.

The 10th term of the A.P. 1, 5, 9, 13, ..., is :

Which term of the A.P. 7, 13, 19, 26, .... is 97 ?

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

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

The minimum number of colours to required paint all sides of a cube that no two adjacent faces may have the same colour is.

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

If * is an operation such that a * b = 3a - 4b, find the value of 3*4

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

$4x^2 + 25 - 20x$ can be expressed as the square of:

Which is the greatest among $16\frac{2}{3}\%$, $6\frac{1}{2}\%$, $\frac{2}{17}$ and $0.173$ ?

Select the correct set of symbols which will fill in the given equation. $5\_0\_3\_5=20$

If W means '$\div$' X means '+', Y means '$-$' and Z means '$\times$' then $28Z3Y4X12W6= ?$

If $x - \frac{1}{x} = 3$, then the value of $x^2 + \frac{1}{x^2}$ is

If $m - n = 16$ and $m^2 + n^2 = 400$, the value of mn is