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Mathematics
List of top Mathematics Questions asked in CUET (PG)
The average of first 50 terms of the given series 1,3,5,7_______ is:
CUET (PG) - 2023
CUET (PG)
Mathematics
Average
The middle value in a series of numbers, the point that neither exceeds nor is exceeded by more than 50 percent of the total observation ?
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
Which of the following is false for linear programming problem (LLP)?
CUET (PG) - 2023
CUET (PG)
Mathematics
Linear Programmig Problem
If cot 20° tan (90° A) = 1, than value of A is :
CUET (PG) - 2023
CUET (PG)
Mathematics
Trigonometric Equations
An untested statement about the relationship between concepts within a given theory is called
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
The two adjacent sides of a cyclic QUADRILATERAL are 2 and 5 and the angle between them is 60°. If the third side is 3, the remaining fourth side is -
CUET (PG) - 2023
CUET (PG)
Mathematics
Quadrilaterals
The ratio of length and Breadth of a rectangle is 4:1 and its area is 64 cm
2
then what will be the value of length and Breadth of the rectangle?
CUET (PG) - 2023
CUET (PG)
Mathematics
Mensuration
A sum is to be distributed among 4 persons in the proportion of 3:3:2:5. If second person gets ₹ 500 more than the third person them what is the share of the fourth person
CUET (PG) - 2023
CUET (PG)
Mathematics
Partnership
If a sum of ₹5,000 is deposited on compound interest at 10% per annum, then the amount received after 2 years is :
CUET (PG) - 2023
CUET (PG)
Mathematics
SI & CI
The monthly income and expenditure of a person were ₹10,000 and ₹6,000 respectively. Next year, his income increased by 15% and his expenditure increased by 8%. Then the percentage increase in his savings is:
CUET (PG) - 2023
CUET (PG)
Mathematics
Percentage
Instead of walking along two adjacent sides of a rectangular field, a boy took a short-cut along the diagonal of the field and saved a distance equal to half of the longer side. Find the ratio of the length of the shorter side to that of the longer side of the field.
CUET (PG) - 2023
CUET (PG)
Mathematics
Mensuration
A bag contains 1 red, 3 green, 2 blue and 4 yellow balls. If a single ball is chosen at random from the bag, then what is the probability that it is yellow or green?
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
Figure out the standard deviation (SD) for the following scores: 2, 4, 3 and 7 (Mean = 4).
CUET (PG) - 2023
CUET (PG)
Mathematics
Mean, median, mode and standard deviation
Twelve men can do a work in 8 days and 16 women can do the same work in 12 days. Eight men and 8 women worked together for 6 days. How many additional men need to be employed to complete the remaining work in one day?
CUET (PG) - 2023
CUET (PG)
Mathematics
Time and Work
A train with certains speed passes a standing man in 6 seconds and 210 m long plat form in 16 seconds. Then speed of the train is:
CUET (PG) - 2023
CUET (PG)
Mathematics
Problem on Trains
Find a single discount equivalent to successive discounts of 10%, 20% and 25%
CUET (PG) - 2023
CUET (PG)
Mathematics
Percentage
In a class of 25 students, 72% students are interested in sports. How many students do not like participating in sports?
CUET (PG) - 2023
CUET (PG)
Mathematics
Percentage
The value of
\(e^{\log10 \tan1\degree+\log10 \tan2\degree+\log10 \tan3\degree+.........+\log10 \tan89\degree}\)
is
CUET (PG) - 2023
CUET (PG)
Mathematics
Trigonometric Equations
Given below are two statements :
Statement I: If the roots of the quadratic equation
\(x^2-4x-log_3a=0\)
are real, then the least value of a is 1/81.
Statement II: The harmonic mean of the roots of the equation
\((5+ \sqrt2)x^2 - (4+\sqrt5)x + (8+2\sqrt5) = 0\)
is 2.
In the light of the above statements, choose the correct answer from the options given below:
CUET (PG) - 2023
CUET (PG)
Mathematics
Quadratic Equations
The point(s) at which function f is given by
\(f(x)={\begin{Bmatrix}\frac{x}{|x|};x\lt0 \\ -1; x\geq0\end{Bmatrix}}\)
is continuous is/are
CUET (PG) - 2023
CUET (PG)
Mathematics
Functions
If every pair from among the equation x
2
+ px + qr = 0, x
2
+ qx + rp = 0 and x
2
+ rx + pq = 0 has a common root, then the product of three common roots is_______.
CUET (PG) - 2023
CUET (PG)
Mathematics
Functions
Let
\(a = cos\frac{2π}7 + isin\frac{2π}7\)
, a = a + a
2
+a
4
and β = a
3
+ a
5
+a
6
then the equation whose root are α, β is
CUET (PG) - 2023
CUET (PG)
Mathematics
Trigonometric Equations
A triangle with vertices (4, 0), (-1,-1), (3, 5) is
CUET (PG) - 2023
CUET (PG)
Mathematics
Triangles
If f: R→R defined as of f(x) = x
2
+ 1 then minimum value of f(x) is
CUET (PG) - 2023
CUET (PG)
Mathematics
Functions
If f: R→R is defined by f(x)=3x
2
-5 and g: R→R by g(x)=
\(\frac{x}{x+1}\)
then gof(x) is
CUET (PG) - 2023
CUET (PG)
Mathematics
Functions
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