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Mathematics
List of top Mathematics Questions
If \(AP\) and \(AQ\) are the two tangents to a circle with center \(O\), such that \(\angle POQ = 110^\circ\), then \(\angle PAQ =\):
TS POLYCET - 2024
TS POLYCET
Mathematics
Tangent to a Circle
Which of the following equation represents the situation where Kiran bought 5 oranges, 7 apples, and Harish bought 2 oranges, 12 apples for the same amount of total money?
TS POLYCET - 2024
TS POLYCET
Mathematics
Linear Equations
The value of \(\sin^2 15^\circ + \cos^2 15^\circ\) is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Trigonometric Identities
If \(\frac{a_1}{a_2} \neq \frac{b_1}{b_2}\), where \(a_1x + b_1y + c_1 = 0\) and \(a_2x + b_2y + c_2 = 0\) are two linear equations, then the equations
TS POLYCET - 2024
TS POLYCET
Mathematics
Linear Equations
If a right circular cylinder has base radius 14 cm and height 21 cm, then its curved surface area is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Mensuration
If \(P(x) = 11x^8 - 5x^6 + 4x^4 - 7x^2 + 6\), then the degree of \(P(x)\) is
TS POLYCET - 2024
TS POLYCET
Mathematics
Polynomials
If \(\triangle ABC\) is a right triangle right angled at \(C\) and let \(BC = a\), \(CA = b\), \(AB = c\) and let \(p\) be the length of perpendicular from \(C\) on \(AB\), then:
TS POLYCET - 2024
TS POLYCET
Mathematics
Triangles
Which of the following two sets are equal sets?
TS POLYCET - 2024
TS POLYCET
Mathematics
Set Theory
If \(A\), \(B\), and \(C\) are interior angles of triangle \(ABC\), then the value of \(\cos \left( \frac{A + B}{2} \right)\) is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Trigonometric Identities
Mode of the data 9, 10, 19, 7, 11, 5, 6, 7, 8, 14, 10, 7, 6 is
TS POLYCET - 2024
TS POLYCET
Mathematics
Mean, median, mode and standard deviation
If the ratio of corresponding sides of two similar triangles is 2:3, then the ratio of areas of these triangles is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Triangles
A tangent to a circle touches it in _________________________ point(s).
TS POLYCET - 2024
TS POLYCET
Mathematics
Tangent to a Circle
The value of \(\cos 54^\circ \cos 36^\circ - \sin 54^\circ \sin 36^\circ\) is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Trigonometric Identities
Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is 13?
TS POLYCET - 2024
TS POLYCET
Mathematics
Probability
The distance between the points \((x_1, y_1)\) and \((x_2, y_2)\) is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Distance Formula
In a grouped frequency distribution, the formula to find median is
TS POLYCET - 2024
TS POLYCET
Mathematics
Mean, median, mode and standard deviation
Exponential form of \(\log_b a = c\) is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Exponential and Logarithmic Functions
Which of the following is not a formula for arithmetic mean?
TS POLYCET - 2024
TS POLYCET
Mathematics
Arithmetic Mean
Which of the following statements is not correct?
AP POLYCET - 2024
AP POLYCET
Mathematics
Rational or Irrational Numbers
Number of natural numbers that can be formed using digits 1, 2, 3, 4, 5, 6, 7 each exactly once so that digits 3, 4 and 5 are always in the middle is equal to:
GAT-B - 2024
GAT-B
Mathematics
Permutation and Combination
In an election contested by two candidates, one candidate got 30% of total votes and lost by 500 votes. The total number of votes polled is:
GAT-B - 2024
GAT-B
Mathematics
Percentages
The sum of four consecutive even numbers is 107 more than the sum of three consecutive odd numbers. If the sum of the smallest odd number and the smallest even number is 55, then what is the smallest even number?
GAT-B - 2024
GAT-B
Mathematics
Algebraic Expressions
The salary of a worker is first increased by 5% and then it is decreased by 5%. What is the change in his salary?
GAT-B - 2024
GAT-B
Mathematics
Percentages
If the average diameter of air bubbles in a bioreactor is 2 mm and the gas hold up is 10%, then the surface area of gas bubbles per liter of reactor is:
GAT-B - 2024
GAT-B
Mathematics
Surface Areas and Volumes
Let $ \alpha $ and $ \beta $ be the distinct roots of $ ax^2 + bx + c = 0 $, then
$ \lim_{x \to \alpha} \frac{1 - \cos(ax^2 + bx + c)}{(x - \alpha)^2} $
is equal to:
COMEDK UGET - 2024
COMEDK UGET
Mathematics
Limits
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