List of top Mathematics Questions asked in CUET (PG)

The average of 5 consecutive positive integers starting with m is n. What is the average of 6 consecutive positive integers starting with (m+2)?
Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time taken to fill the tank?
Jayant invested a sum of Rs. 65,000 in two schemes and received Rs.7275 as interest after 2 years. In scheme I simple interest is payable at 6% per annum and in scheme II compound interest is payable at 5% per annum Find the ratio of sums he invested in scheme I and scheme II.
When a painted cube is cut into 125 small identical cubes, how many smaller cubes have no face painted?
If \(m = 2\), \(n = 3\), then the value of \(12m^2n-3mn^2\) is:
A large cube is formed by melting three solid metallic cubes of sides 3cm, 4cm and 5cm respectively. What is the ratio of the sum of the surface areas of the given cubes and that of the new cube?
Which of the following is a relative measure of dispersion?
Find the average of first five multiples of 3 and first five multiples of 5.
Given below are two statements:
Statement I: Relation between the nominal rate and effective rate : ref= (1 + 2) * r k +1, where ref = effective rate of interest r = nominal rate of interest k = numbers of conversion periods per year
Statement II: The nominal interest rate is also known as force of interest.
In the light of the above statements, choose the correct answer from the options given below
Identify the correct stepwise procedure of the incorporation of new limited liability partnership:
A. Deciding the partners and designated partners.
B. Obtaining DPIN and digital signature certificate.
C. Electronic filing of some documents with ROC.
D. Checking the availability of name and drafting of LLP agreement.
E. Issuing certificate of Incorporation by ROC.
Choose the correct answer from the options given below:
The polar form of the complex number z= \(\frac{i-1}{cos[\frac{\pi}{3}]+i sin[\frac{\pi}{3}]}\) is,
The area bounded by two parabolas y= x2, x=y2 is,
The equation of the parabola which is symmetric about the y-axis and has its vertex at origin and passes through the point (1, -1) is
The equation of the hyperbola whose foci are (0,+12) and the length of the latus rectum is 36 is
Which of the following is a correct relation if and only if all the n observations are equal?
The sum 12+22+ ... + M2, MEN is
If x, y, z in the axis of a given 3D Geometrical shape, then the given coordinate point (-4,7,-1) will lie in which octant
The direction cosines of x-axis, y-axis and z-axis, respectively are
Given below are two statements:
Statement I: Arithmetic mean of a given set of observations is their sum divided by the no. of observations. 
Statement II: If in a series the sum of 5 number is 17, then the Arithmetic Mean of it will be 3.4±0.5. In the light of the above statements, 
choose the correct answer from the options given below: 
Which of the following points lie in the convex set of points (2,3) and (4,1)?
A. (3.6, 1.4)
B. (3.0, 2.0)
C. (2.4, 2.6)
D. (1.2, 3.8)
Choose the correct answer from the options given below:
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : For matrix A =\(\begin{bmatrix} 1 & 2 \\ 8 & 16 \end{bmatrix}\),rank of A = r(A) = 1
Reason R: For matrix A if |A| = 0, then it implies that rank of matrix A given by r(A) is less than full rank.
In the light of the above statements, choose the most appropriate answer from the options given below:
Richa purchased a pen at \(\frac 45^{th}\) of its marked price. She then enhanced the marked price by 20% and sold it at the new marked price. What is Richa's profit percentage?
A newspaper contains various types of news items which is the following of the data types?
If a certain sum invested on compound interest become 3 times in 4 years, then the no. of years in which this sum will become 27 times at the rate interest is
Let is the mean of the variate values X1, X2,..., XN. If a constant value A is subtracted from each variate value, then the resulting new mean is