1
A-II, B-III, C-I, D-IV 2
A-III, B-IV, C-II, D-I 3
A-IV, B-III, C-II, D-I 4
A-IV, B-III, C-I, D-II Go to Discussion
Phrases Previous Year PYQ
Phrases CUET 2023 PYQ
Solution Dog causes Rabies, Mosquito causes Malaria → A-IV
Amnesia affects Memory, Paralysis affects Movement → B-III
Meningitis affects Brain, Cirrhosis affects Liver → C-II
Influenza is caused by Virus, Typhoid is caused by Bacteria → D-I
Correct matching: A-IV, B-III, C-II, D-I
Qus : 2
Phrases PYQ
2
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A:
If the A.M. and G.M. between two numbers are in the ratio $m:n$, then the numbers are in the ratio
$m+\sqrt{m^2-n^2} : m-\sqrt{m^2-n^2}$
Reason R:
If each term of a G.P. is raised to the same power, the resulting sequence also forms a G.P.
Choose the correct answer from the options given below:
1
Both A and R are true and R is the correct explanation of A 2
Both A and R are true but R is not the correct explanation of A 3
A is true but R is false 4
A is false but R is true Go to Discussion
Phrases Previous Year PYQ
Phrases CUET 2023 PYQ
Solution Assertion A is true (standard result from A.M.–G.M. relations).
Reason R is also true, but it does not explain Assertion A.
Qus : 4
Phrases PYQ
1
Match the list
LIST 1 LIST 2 A. If 4th term of a G.P. is square of its second term, and its first term is 3, then common ratio is _______ I. 5 B. The first term of an AP is 5 and the last term is 45 and the sum of the terms is 400. The number of terms is_____ II. -5/2 C. The sum of three numbers which are in AP is 27 and sum of their squares is 293. Then the common difference is ______ III. 16 D. The fourth and 54th terms of an AP are, respectively, 64 and -61. The common difference is ______ IV. 3
choose the correct answer from the options given below:
1
A-IV, B-III, C-I, D-II 2
A-III, B-II, C-I, D-IV 3
A-II, B-III, C-I, D-IV 4
A-II, B-I, C-III, D-IV Go to Discussion
Phrases Previous Year PYQ
Phrases CUET 2022 PYQ
Solution
Qus : 5
Phrases PYQ
1
The H.P. of two numbers is $4$ and the arithmetic mean $A$ and geometric mean $G$ satisfy
$2A+G^2=27$. The numbers are
1
$6,3$ 2
$5,4$ 3
$5,-25$ 4
$-3,1$ Go to Discussion
Phrases Previous Year PYQ
Phrases CUET 2023 PYQ
Solution If numbers are $a,b$:
H.P. $=\dfrac{2ab}{a+b}=4 \Rightarrow ab=2(a+b)$
$A=\dfrac{a+b}{2},\quad G^2=ab$
Given:
$2A+G^2=(a+b)+ab=27$
Substitute $ab=2(a+b)$:
$3(a+b)=27 \Rightarrow a+b=9$
$ab=18$
So numbers are roots of
$x^2-9x+18=0 \Rightarrow x=6,3$
Qus : 6
Phrases PYQ
3
If $A_1,A_2$ be two A.M.’s and $G_1,G_2$ be two G.M.’s between $a$ and $b$, then
$\dfrac{A_1+A_2}{G_1G_2}$ is equal to
1
$1.45\times10^{1}$ 2
$1.45\times10^{-1}$ 3
$2.27\times10^{-1}$ 4
$2.27\times10^{1}$ Go to Discussion
Phrases Previous Year PYQ
Phrases CUET 2023 PYQ
Solution For A.M.’s between $a$ and $b$:
$A_1=\dfrac{2a+b}{3},\quad A_2=\dfrac{a+2b}{3}$
So,
$A_1+A_2=\dfrac{2a+b+a+2b}{3}=a+b$
For G.M.’s between $a$ and $b$:
$G_1=\sqrt[3]{a^2b},\quad G_2=\sqrt[3]{ab^2}$
So,
$G_1G_2=\sqrt[3]{a^3b^3}=ab$
Hence,
$\dfrac{A_1+A_2}{G_1G_2}=\dfrac{a+b}{ab}$
Qus : 7
Phrases PYQ
1
If a, b and c are in Geometric Progression and $a^{\frac{1}{x}}=b^{\frac{1}{y}}=c^{\frac{1}{z}}$ then, x, y, z are in
1. Arithmetic Progression
2. Geometric Progression
3. $\frac{2}{y}=\frac{1}{x}+\frac{1}{z}$
4. $x=y+z$
1
1 2
2 3
3 4
4 Go to Discussion
Phrases Previous Year PYQ
Phrases CUET 2025 PYQ
Solution
We are given:
\(a^{\tfrac{1}{x}} = b^{\tfrac{1}{y}} = c^{\tfrac{1}{z}} = k\)
\(\Rightarrow a = k^x,\; b = k^y,\; c = k^z\)
Since \(a, b, c\) are in G.P.:
\(b^2 = ac\)
\(\Rightarrow (k^y)^2 = (k^x)(k^z)\)
\(\Rightarrow k^{2y} = k^{x+z}\)
\(\Rightarrow 2y = x+z\)
This implies \(y\) is the arithmetic mean of \(x\) and \(z\).
x, y, z are in Arithmetic Progression.
Correct Answer: (1) Arithmetic Progression
Qus : 8
Phrases PYQ
2
Matching
Column A
Column B
A. $(\sqrt{2}+1)+1+(\sqrt{2}-1)+\ldots \infty$
IV. $\frac{4+3\sqrt{2}}{2}$
B. $ \frac{1}{2}+\frac{1}{3^2}+\frac{1}{2^3}+\frac{1}{3^4}+\frac{1}{2^5}+\frac{1}{3^6}+\ldots \infty$
I. $\frac{19}{24}$
C. $6^{1/2}\times 6^{1/4}\times 6^{1/8}\ldots \infty$
II. $6$
D. $8+4\sqrt{2}+4+\ldots \infty$
III. $8(2+\sqrt{2})$
(a) (A)-I, (B)-II, (C)-III, (D)-IV
(b) (A)-IV, (B)-I, (C)-II, (D)-III
(c) (A)-IV, (B)-I, (C)-III, (D)-II
(d) (A)-I, (B)-IV, (C)-III, (D)-II
1
(a) 2
(b) 3
(c) 4
(d) Go to Discussion
Phrases Previous Year PYQ
Phrases CUET MCA 2026 PYQ
Solution
Qus : 9
Phrases PYQ
4
Assertion: 1/3, −1/2, 3/4, −9/8 form an AP
Reason: The constant sequence is the only sequence which is both AP as well as GP.
Options:
(a) Assertion is true, Reason is true, and Reason is the correct explanation of the Assertion.
(b) Assertion is true, Reason is true, but Reason is not the correct explanation of the Assertion.
(c) Assertion is true, but Reason is false.
(d) Assertion is false, but Reason is true.
1
(a) 2
(b) 3
(c) 4
(d) Go to Discussion
Phrases Previous Year PYQ
Phrases CUET MCA 2026 PYQ
Solution
Qus : 14
Phrases PYQ
3
Math List I with List II:
LIST I LIST 2 A. In a GP, the third term is 24 and 6th term is 192. The common ratio is _____ I. 78 B. Let Sn denotes the sum of first n terms of an AP. If S2n =3Sn , then S3n /Sn equals to _______ II. 6 C. The sum of 3 terms of a GP is 13/12 and their product is -1. The first term is ______ III. -1 D. The least value of n for which the sum 3+6+9+...+n is greater than 1000 is IV. 2
Choose the correct answer from the options given below :
1
A-III, B-I, C-II, D-IV 2
A-III, B-IV, C-I, D-II 3
A-IV, B-II, C-III, D-I 4
A-IV, B-III, C-II, D-II Go to Discussion
Phrases Previous Year PYQ
Phrases CUET 2022 PYQ
Solution
[{"qus_id":"11319","year":"2022"},{"qus_id":"11334","year":"2022"},{"qus_id":"11477","year":"2022"},{"qus_id":"11483","year":"2022"},{"qus_id":"11484","year":"2022"},{"qus_id":"11485","year":"2022"},{"qus_id":"11497","year":"2022"},{"qus_id":"12120","year":"2025"},{"qus_id":"16658","year":"2023"},{"qus_id":"16678","year":"2023"},{"qus_id":"16716","year":"2023"},{"qus_id":"16718","year":"2023"},{"qus_id":"17337","year":"2026"},{"qus_id":"17362","year":"2026"}]
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