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Mathematics
List of top Mathematics Questions
A newspaper contains various types of news items which is the following of the data types?
CUET (PG) - 2023
CUET (PG)
Mathematics
Organisation of Data
Look at the series : 1224, 612, 204, 102, 34,…. which one of the following numbers should come next in the series?
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CUET (PG)
Mathematics
Sequences and Series
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
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CUET (PG)
Mathematics
SI & CI
Let is the mean of the variate values X
1
, X
2
,..., X
N
. If a constant value A is subtracted from each variate value, then the resulting new mean is
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CUET (PG)
Mathematics
Variance and Standard Deviation
The average of 11 numbers is 52. The average of the first 6 numbers is 55 and the average of last 6 numbers is 49. The sixth number is
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CUET (PG)
Mathematics
Average
Consider the linear function from Z to Z: f= {(0, -5), (1, 0), (2, 5), (-1, -10)}. Then the function f(x) is
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CUET (PG)
Mathematics
Functions
The distance of a point whose position vector is
\(\overrightarrow{u}\)
from the plane
\(\overrightarrow{r}.\overrightarrow{n}=d\)
is,
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CUET (PG)
Mathematics
Properties of Vectors
The value of
\(\frac{1}{log_2N}+\frac{1}{log_3N}+\frac{1}{log_4N}+....\frac{1}{log_15N}\)
is
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CUET (PG)
Mathematics
Logarithmic Differentiation
The distance between two straight lines 2x + 3y = 5, 2x + 3y = 10 is,
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CUET (PG)
Mathematics
Straight lines
The angle between a pair of lines given by F = 3î +2} − 2k + 1⁄2 (î + 2 j +2k), r = 5î − 2} +1⁄21⁄2 (3î +2ĵ+6k) is
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CUET (PG)
Mathematics
Pair of Linear Equations in Two Variables
If the sets X and Y are mutually exclusive, then P(X∩Y) is
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CUET (PG)
Mathematics
Sets
The area bounded by the curve y = sin(x) between x = 0 to 2π is,
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CUET (PG)
Mathematics
Area between Two Curves
The rate of activity of a person y with age t is given by (1+t)
\(\frac{dy}{dx}=e^{-y}-1\)
. For the initial condition y = 1 at r = 0, the dy dt solution is given by,
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CUET (PG)
Mathematics
Derivatives
The derivative
\(\frac{dy}{dx} \)
of the function y=x
x
is
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CUET (PG)
Mathematics
Derivatives
If the question 3x
2
-10x+2p=0 has equal roots then the value of p is
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CUET (PG)
Mathematics
Square and Square Roots
If P (A∩B) = P(A).P(B), then event of A and B are
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CUET (PG)
Mathematics
Probability
One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely. The probability that the card will not be a king is
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CUET (PG)
Mathematics
Probability
Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards. The probability that first two cards are kings and third card drawn is an ace is
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CUET (PG)
Mathematics
Probability
The mode of the following distribution: 7, 4, 3, 5, 6, 3, 3, 2, 4, 3, 4, 3, 3, 4, 4, 2, 3.
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CUET (PG)
Mathematics
frequency distributions
Ten cards numbered 1 to 10 are placed in a box and one card is drawn randomly. If it is known that the number on drawn card is more than 2. The probability that it is an odd number is:
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CUET (PG)
Mathematics
Probability
A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder. The diameter of the sphere is 42 cm and the height of the vessel is 27 cm. Find its capacity in cm
3
. (Use:
\(\pi = \frac {22}{7}\)
)
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CUET (PG)
Mathematics
Surface Areas and Volumes
The value of
\(ƒ \frac{(log(x))^2}{x} dx\)
is
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CUET (PG)
Mathematics
integral
The integral
\(∫_3^lx^3\)
log(x) dx equals
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CUET (PG)
Mathematics
integral
Two fair dice are thrown. The probability that the number of times the dice exceeds 3 and that the second exceeds 4 will be
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CUET (PG)
Mathematics
Probability
Standard Error of the sampling distribution of a statistic is given by
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CUET (PG)
Mathematics
Variance and Standard Deviation
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