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Mathematics
List of top Mathematics Questions
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:
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
A committee of two persons is selected from two men and two women. What is the probability that the committee will have at least one man?
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
If P (A∩B) = P(A).P(B), then event of A and B are
CUET (PG) - 2023
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
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
Two fair dice are thrown. The probability that the number of times the dice exceeds 3 and that the second exceeds 4 will be
CUET (PG) - 2023
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
CUET (PG) - 2023
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.
CUET (PG) - 2023
CUET (PG)
Mathematics
frequency distributions
The distance of a point whose position vector is
\(\overrightarrow{u}\)
from the plane
\(\overrightarrow{r}.\overrightarrow{n}=d\)
is,
CUET (PG) - 2023
CUET (PG)
Mathematics
Properties of Vectors
The value of
\(ƒ \frac{(log(x))^2}{x} dx\)
is
CUET (PG) - 2023
CUET (PG)
Mathematics
integral
The integral
\(∫_3^lx^3\)
log(x) dx equals
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CUET (PG)
Mathematics
integral
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
CUET (PG) - 2023
CUET (PG)
Mathematics
Average
If the question 3x
2
-10x+2p=0 has equal roots then the value of p is
CUET (PG) - 2023
CUET (PG)
Mathematics
Square and Square Roots
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:
\(\pi = \frac {22}{7}\)
)
CUET (PG) - 2023
CUET (PG)
Mathematics
Surface Areas and Volumes
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
CUET (PG) - 2023
CUET (PG)
Mathematics
Pair of Linear Equations in Two Variables
Standard Error of the sampling distribution of a statistic is given by
CUET (PG) - 2023
CUET (PG)
Mathematics
Variance and Standard Deviation
The arithmetic mean and standard deviation of a series of 20 items were calculated by a student as 20 cm and 5 cm, respectively. But while calculating them an item 13 was misread as 30. The correct standard deviation is
CUET (PG) - 2023
CUET (PG)
Mathematics
Variance and Standard Deviation
Given below are two statements:
Statement I: The Geometric mean of a set of n observations is the nth root of their product.
Statement II: If X
1
, X
2
, X
3
... X
n
are the given n observations, then their G.M. is given by
\(\sqrt{(X_1) (X_2) (X_3)....(X_n)}\)
In the light of the above statements,
CUET (PG) - 2023
CUET (PG)
Mathematics
Variance and Standard Deviation
The value of
\(\frac{1}{log_2N}+\frac{1}{log_3N}+\frac{1}{log_4N}+....\frac{1}{log_15N}\)
is
CUET (PG) - 2023
CUET (PG)
Mathematics
Logarithmic Differentiation
The function F(x) = [x] at x = 0 is
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CUET (PG)
Mathematics
Functions
The security guard of a hospital allows enter to 5 persons from a room for a checkup from a group of patients which has 10% Covid infected patients. The probability that there is at least one person Covid infected patients, is
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
If X is a square matrix of order NxN, then for any constant c, |cX| is equal to,
CUET (PG) - 2023
CUET (PG)
Mathematics
Matrix
A box contains 9 balls of which 4 are Golden, 3 are Silver and 2 are Steel. The balls are similar in shape and size. A ball is drawn at random from the box. The probability that it will not be a silver ball
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
If X and Y are invertible matrices of same order then
CUET (PG) - 2023
CUET (PG)
Mathematics
Matrix
Any square matrix A can be expressed as:
1. The product of a symmetric and a skew-symmetric matrices.
2. The division of a symmetric matrix by a skew-symmetric matrix.
3. The sum of a symmetric and a skew-symmetric matrices.
4. The subtraction of a symmetric from a skew-symmetric matrix.
CUET (PG) - 2023
CUET (PG)
Mathematics
Matrix
The regression analysis confined to the study of only two variables at a time, is called as
CUET (PG) - 2023
CUET (PG)
Mathematics
Regression analysis
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