List of top Mathematics Questions asked in CUET (UG)

Match List I with List II

List I		List II
A.	\(\frac{d^2y}{dx^2}+(\frac{dy}{dx})^{\frac{1}{2}}+x^{\frac{1}{2}}\)	I.	order 2, degree 1
B.	\(\frac{dy}{dx}=\frac{x^{\frac{1}{2}}}{y^{\frac{1}{2}}(1+x)^{\frac{1}{2}}}\)	II.	order 2, degree not defined
C.	\(\frac{d^2y}{dx^2}=\cos3x+\sin3x\)	III.	order 2, degree 4
D.	\(\frac{d^2y}{dx^2}+2\frac{dy}{dx}+y=\log(\frac{dy}{dx})\)	IV.	order 1, degree 2

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Mr. Dileep Rao has set up a sinking fund so that he can accumulate \(₹ 10,00,000\) in \(10 \)years for his children's higher education. How much amount should Dileep Rao deposit at the beginning of each year to accumulate this amount at the end of\( 10\) years. If the interest rate is  compounded annually? Given that \((1.12)^{11}=3.477\) (Rounded off to the nearest paise)

The marked price of a chair is \(150%\)\(\%\) of its cost price. A discount of \(30\%\) is given while selling the chair. What is the profit percentage?

Area of the region bounded by the curve |x|+|y|=1 and x-axis is :

The equation of the normal to the curve y = 2sinx at (0, 0) is:

The angle at which the normal to the plane 4x - 8y + z = 7 is inclined to y-axis is :

The equation of the curve whose slope is given by \(\frac{dy}{dx}=\frac{4x}{y}\), x>0,y>0 and which passes through the point (2, 2) is: 

Two friends A and B invest in a business in partnership, B borrows 20% of A's salary, combines it with 60% of his salary and invest with A, who puts all of his remaining salary. One year later the ratio of profit A and B is 5:3 respectively and B returns Rs. 21000 to A which he borrowed from him. What is the difference between salary of A and B ?

Let f: R→R defined by f(x)=2x³-7 for x∈R. Then:
(A) f is one-one function
(B) f is many to one function
(C) f is bijective function
(D) f is into function
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Find the missing term
1, 4, 27, 16, ?, 36, 343

For real numbers a and b, define aRb if b-a+√5 is an irrational number. Then the relation R is:

With reference to time series, match List I with List II

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A sum of money triples itself in 3 years at simple interest. In how many years will it become 9 times of itself?

The function \(f(x)= \frac{x^4}{4}-\frac{x^2}{2}\) has

Match List I with List II

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A product costs the manufacturer ₹20 per unit. The demand function is given by p(x) = 1000-20x, then the quantity for maximum profit is:

The total cost of a firm is given by c(x)=\(\frac{2x^3}{3}-4x^2+8x+7. \) The level of output at which marginal cost is minimum is

The value of x given by \(cos (tan ^{-1}x) = sin (cot^{-1} \ \frac{3}{4})\)is:

The general solution of the differential equation ydx + xdy = 0 is:

For the given five values 17, 26, 20, 35, 44, the three years moving averages are :

Which of the following is correct ?

If the selling price is doubled, the profit triples. Find the profit % :

Match List I with List II

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Angle between tangents to the curve y=x²-5x+6 at the points (2, 0) and (3, 0) is:

The area of a circle is \(154 \text{ }cm^2\). Find the circumference of the circle. Take \(\pi=\frac{22}{7}\)