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CUET (UG)
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Mathematics
List of top Mathematics Questions asked in CUET (UG)
If $t = e^{2x}$ and $y = \ln(t^2)$, then $\frac{d^2 y}{dx^2}$ is:
CUET (UG) - 2024
CUET (UG)
Mathematics
Second Order Derivative
Shaloo sold a mobile phone for ₹ 1,950 at a loss of 25%. At what price should she have sold it to get a profit of 30% ?
CUET (UG) - 2023
CUET (UG)
Mathematics
Profit and Loss
The heights of two right circular cones are in the ratio
\(1 : 2\)
and the circumferences of their bases are in the ratio
\(3: 4.\)
Find the ratio of their volumes.
CUET (UG) - 2023
CUET (UG)
Mathematics
Volume of a Right Circular Cone
If
\(f(x)=\begin{cases} \frac{1-\cos4x}{x^2} & x\ne0 \\ k & x=0 \end{cases}\)
is continuous at x = 0, then the value of k is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Continuity and differentiability
The tangent to the parabola, x
2
= 2y at the point
\((1,\frac{1}{2})\)
makes with the x-axis an angle of :
CUET (UG) - 2023
CUET (UG)
Mathematics
Parabola
The number
\(0.4\overline{23}\)
converted to a fraction, then it is equal to:
CUET (UG) - 2023
CUET (UG)
Mathematics
Unitary Method
Three dice are thrown. The probability of getting a sum of numbers which is a perfect cube, is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Probability
The tangent to the curve
\(x=cost(3-2cos^2t),y=sint(3-2sin^2t)\)
at
\(t=\frac{\pi}{4}\)
,makes with the
\(x-axis\)
an angle:
CUET (UG) - 2023
CUET (UG)
Mathematics
Tangents and Normals
Given relation R={(x, y): y=x+5, x < 4, x, y ∈ N}. Where N is a set of natural numbers then :
CUET (UG) - 2023
CUET (UG)
Mathematics
Relations
In the given figure, AB=AD. ∠ACB=95°+ ∠BAC and ∠BAD=150°. Find ∠ACB.
CUET (UG) - 2023
CUET (UG)
Mathematics
Triangles
If the matrix
\(\begin {bmatrix} x-y&1&-2 \\ 2x-y&0&3 \\ 2&-3&0 \end {bmatrix}\)
is skew-symmetric, then values of x and y are respectively
CUET (UG) - 2023
CUET (UG)
Mathematics
Symmetric and Skew Symmetric Matrices
Which of the following are propositions ?
(A) The sum of four angles of quadrilateral is 180°.
(B) A line segment has two end points.
(C) 7𝑥+3=14
(D) 3 X 9=21
CUET (UG) - 2023
CUET (UG)
Mathematics
Propositional Logic
The symbols that we use to represent number names are called a numerals. Children see numerals such as “6” in their everyday lives constantly. However, numerals are ---------- than quantities.
CUET (UG) - 2023
CUET (UG)
Mathematics
Knowing our Numbers
The curved surface area of a right circular cone of height 12 cm and base diameter 10 cm is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Surface Area of a Right Circular Cone
Cost of 6 pens and 9 pencils is ₹126. What is the cost of 8 pens and 12 pencils?
CUET (UG) - 2023
CUET (UG)
Mathematics
Unitary Method
Find the 18
th
and n
th
term of the A.P. given by :
8, 13, 18,...
CUET (UG) - 2023
CUET (UG)
Mathematics
Arithmetic Progression
If a person travel
\(10\frac{1}{5}\)
Km in 3h, then the distance covered by him in 5 h will be :
CUET (UG) - 2023
CUET (UG)
Mathematics
Speed, Time and Distance
Speed of the boat along the current and against the current are 10 km/h and 8 km/h respectively.
What is the speed of the current?
CUET (UG) - 2023
CUET (UG)
Mathematics
Boat and Stream
Find the co-ordinate of the mid point of a line which joins P(2,-1) and Q(-3, 4):
CUET (UG) - 2023
CUET (UG)
Mathematics
The Mid-point Theorem
How many 3-letter words can be formed from the letters of the word 'OBJECTS' if repetition is not allowed?
CUET (UG) - 2023
CUET (UG)
Mathematics
Permutations
How many chords can be drawn through 5 points on a circle ?
CUET (UG) - 2023
CUET (UG)
Mathematics
Circles
Two pipes A and B can fill a tank in 10 h and 15 h Respectively. Find the time taken to fill the tank when both the pipes are turned on simultaneously :
CUET (UG) - 2023
CUET (UG)
Mathematics
Pipe and Cistern
At what rate of interest 1,200 becomes ₹ 1,323 in 2 years where interest gets compounded annually:
CUET (UG) - 2023
CUET (UG)
Mathematics
Compound Interest
Arun invests an amount of ₹4,000 at the rate of 2% simple interest per annum. For how many years did he invest the amount to double his sum?
CUET (UG) - 2023
CUET (UG)
Mathematics
Simple Interest
What should replace the question mark ?
\(\frac{854\times 854 × 854-276 × 276 × 276}{854 \times854 + 854×276+276 × 276}=?\)
CUET (UG) - 2023
CUET (UG)
Mathematics
Simplification
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