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Mathematics
List of top Mathematics Questions
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 perimeter of a square and a regular hexagon are equal. The ratio of the area of the hexagon the area of the square is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Mensuration
Amit can do a task in 10 days and Bhanu can do the same task in 40 days. In how many days will the task be completed if they work together ?
CUET (UG) - 2023
CUET (UG)
Mathematics
Time and Work
The corner points of the feasible region determined by the system of linear inequalities are (0, 0), (0, 4), (4, 0), (2, 4) and (0, 5). If the maximum value of Z = ax + by where a, b > 0 occurs at both (2, 4) and (4, 0) then
CUET (UG) - 2023
CUET (UG)
Mathematics
Linear Programmig Problem
The ratio of areas under the curves
\(y=sinx \)
and
\(y=sin2x\)
,from
\(x=0\)
to
\( x=\frac{\pi}{3}\)
is
CUET (UG) - 2023
CUET (UG)
Mathematics
Area under Simple Curves
Three partners A, B and C shared the profit in a business in the ratio 6:9:10 respectively. If A,B and C invested the money for 12 months, 7 months and 5 months respectively, then the ratio of their investment is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Ratio
The effective rate which is equivalent to stated rate of
\(6\%\)
compounded semiannually is:
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CUET (UG)
Mathematics
Compound Interest
\((6:30+19:50), \)
in 24 hours clock is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Ratio
Which of the following statements are true ?
(A) Central limit theorem states that the sampling distribution of the mean (
\(\bar x\)
) approaches a normal distribution as the sample size increases.
(B) As per
Central Limit Theorem
, when the sample size increases, the mean (
\(\bar x\)
) for the data becomes closer to the mean of
overall population
.
(C) The shape of t-distribution does not depend on degree of freedom.
Choose the correct answer from the options given below :
CUET (UG) - 2023
CUET (UG)
Mathematics
Probability Distribution
The volume of a sphere of radius r is obtained by multiplying its surface area with :
CUET (UG) - 2023
CUET (UG)
Mathematics
Volume of a Sphere
The prices and the quantities of three commodities are given are :
Commodity
Price (₹)
Quantities
in Year
2006
in Year
2009
in Year
2006
in Year
2009
P
100
90
12
10
Q
80
\(x\)
8
7
R
60
50
4
6
The Laspeyre's price index number for year 2009 with year 2006 as base is 200. The value of
\(x\)
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Statistics
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
Work done by A in one day is half of the work by B in one day. Work done by B is half on the work done by C in one day. If C alone can do the work in 7 days, then in how many days can A, B and C together complete the work ?
CUET (UG) - 2023
CUET (UG)
Mathematics
Time and Work
The point estimate for the mean number of sales of cars for the following data 103, 140, 92, 115, 110, is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Statistics
The value of 28 mod 3 is.
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CUET (UG)
Mathematics
Simplification
January 11, 1997 was a Sunday. What day of the week was on January 7, 2000?
CUET (UG) - 2023
CUET (UG)
Mathematics
Profit and Loss
A person buys a flat for which he makes down payment of ₹7,50,000 and the balance is to be paid in 10 years by monthly instalments of ₹22,000 each. If the bank charges interest at the rate of 12% per annum, then the actual price of the flat using flat rate system is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Installments
In a polyhedron, the number of faces is 4 and the number of edges is 6, then the number of vertices of that polyhedron is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Surface Area of a Right Circular Cone
The effective rate equivalent to a nominal rate of 8% per annum compounded semi-annually is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Compound Interest
If the lines
\(\frac{x-1}{-3} = \frac{y-2}{2 \lambda} = \frac{z-3}{2}\)
and
\(\frac{x-1}{3 \lambda} = \frac{y-1}{2} = \frac{z-6}{-5}\)
are perpendicular. Then the value of
\(\lambda\)
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Straight lines
A solid hemisphere of radius
\(24 cm\)
is melted and identical cones each of base radius
\( 8 cm\)
and height
\( 6 cm \)
are formed. How many such cones are formed?
CUET (UG) - 2023
CUET (UG)
Mathematics
Volume of a Right Circular Cone
In the given figure the value of angle ‘x’ is _________
CUET (UG) - 2023
CUET (UG)
Mathematics
Geometry
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 area of the region bounded by |x| + |y| = 1, x ≥ 0 y ≥ 0 is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Area of the region bounded
If
\(x=3at^2\)
,
\(y=3at^4\)
then
\(\frac{dy}{dx}\)
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Derivatives
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