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Mathematics
List of top Mathematics Questions
Let f: [a, b]R be a continuous function on [a, b] and differentiable on (a, b), then there exists some e in (a, b) such that
\(f'(c) = \frac{f(b)-f(a)}{b-a}\)
This theorem in named
CUET (PG) - 2023
CUET (PG)
Mathematics
Differentiation of Parametric Functions
Five men working 8 hours per day take 6 days to do a work. How many days will 12 men take to do the same work if they work for 10 hours per day?
CUET (PG) - 2023
CUET (PG)
Mathematics
Time and Work
Evaluate
\(\frac{tan 55°}{cot 35°}+\frac{sin 33°}{cos 57°}+\frac{sec 49°}{cosec 41°}\)
CUET (PG) - 2023
CUET (PG)
Mathematics
Trigonometry
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
If a:b= 3:5, then (-a
2
+b
2
): (a
2
+b
2
) is :
CUET (PG) - 2023
CUET (PG)
Mathematics
Simplification
Two pipes A and B can fill a tank in 18h and 12h respectively. If both the pipes are opened simultaneously, then how much time will be taken to fill the tank
CUET (PG) - 2023
CUET (PG)
Mathematics
Time and Work
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
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
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
\(\frac{108^2-104^2}{32^2-28^2} = \) _______ ?
CUET (PG) - 2023
CUET (PG)
Mathematics
Simplification
Which of the following is an example of non-probability sampling?
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
A hypothesis which shows no relationship or no significant difference between groups on a variable.
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
If a % of a + b % of b = 2% of ab, then what percent of a is b ?
CUET (PG) - 2023
CUET (PG)
Mathematics
Percentage
Calculate the mean of the following numbers: 100, 200, 600
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
The simple interest on a certain sum of money for
\(2\frac{1}{2}\)
years at 12% per annum is RS.40 less than the simple interest on the same sum for
\(3\frac{1}{2}\)
years at 10% per annum. Find the sum
CUET (PG) - 2023
CUET (PG)
Mathematics
SI & CI
A unit analysis that takes on different values is known as
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
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
A statement or a tentative proposition of potential relationship between two or more variables is known as
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
The term used to describe the most frequently occurring category of a non-numeric variable
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
\(\frac{8}{3}\) of \(40\%\) of \(\frac{18}{39}\) of 156 = _______ ?
CUET (PG) - 2023
CUET (PG)
Mathematics
Percentage
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
In how many years will a sum of ₹800 at 10% per annum compounded semi-annually become ₹ 926.10?
CUET (PG) - 2023
CUET (PG)
Mathematics
SI & CI
Find the compound interest when Rs 22,500 is invested for 18 months at 8% p.a. if the interest is calculated every 6 months (correct to nearest Rs).
CUET (PG) - 2023
CUET (PG)
Mathematics
SI & CI
A sum of money doubles itself on simple interest in 10 years. Find the rate of interest per annum.
CUET (PG) - 2023
CUET (PG)
Mathematics
SI & CI
The height of a room is 40% of semi-perimeter of the floor. Akshay wanted to put wall paper on the walls of his room. It cost ₹5,200 to put 50 cm wide wall paper at the rate of ₹40/m leaving an area of 15 m
2
for doors and windows. Height of room (in m) is:
CUET (PG) - 2023
CUET (PG)
Mathematics
Perimeter
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