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questions
List of practice Questions
If the points A(5, 3), B(8, 5), C(x, y) and D(7, 2) are consecutive vertices of a parallelogram then (x, y) = A(5, 3), B(8, 5), C(x, y)=
AP POLYCET - 2019
AP POLYCET
Mathematics
Area Of A Parallelogram
In an AP the 5th term is 24 and 12th term is 94, then the sum of first 20 terms is
AP POLYCET - 2019
AP POLYCET
Mathematics
Arithmetic Progression
The roots of a quadratic equation are irrational. Then
AP POLYCET - 2019
AP POLYCET
Mathematics
Quadratic Equations
Sum of the squares of two consecutive even positive integers is 340. The numbers are
AP POLYCET - 2019
AP POLYCET
Mathematics
Divisibility and Remainder
If the difference of reciprocals of ages of a boy three years ago and five years from now is then the present age of the boy in years is
AP POLYCET - 2019
AP POLYCET
Mathematics
distance
\(f(x)=5x^4-9x^3-3x^2+11x-18\)
is divided by
\((x-2)\)
then the remainder is
AP POLYCET - 2019
AP POLYCET
Mathematics
Quadratic Equations
If the solutions of ax + by = 2 and bx+y=5 are 4, 6 then a =
AP POLYCET - 2019
AP POLYCET
Mathematics
Solution of a Linear Equation
A ball is thrown from the top of a building of height 25 m with an initial velocity of 15 m/sec. If the height of the ball h from ground at any point of time t is given by
\(h=25+10t-3t^2\)
. The time taken by the ball to reach the ground is
AP POLYCET - 2019
AP POLYCET
Mathematics
Time, Speed and Distance
\(\sqrt{3}x + \sqrt{2}y = 2\sqrt{2}\)
;
\(\sqrt{2}x - \sqrt{3}y = 3\sqrt{3}\)
implies
\(x=,y=\)
AP POLYCET - 2019
AP POLYCET
Mathematics
Square Roots
If
\(-1,-2\)
are two zeros of a polynomial
\(2x^3+ax^2+ bx-2\)
. then
\((a, b) =\)
AP POLYCET - 2019
AP POLYCET
Mathematics
Polynomials
How many sides will be there in a polygon having 54 diaggonals?
AP POLYCET - 2019
AP POLYCET
Mathematics
Polygons
The roots of
\(2x-\frac{2}{x}= 3\)
are
AP POLYCET - 2019
AP POLYCET
Mathematics
Square Roots
How many subsets the set P= (a, e, i, o, u) will have?
AP POLYCET - 2019
AP POLYCET
Mathematics
Subsets
n(A)=8, n(B)=9, n(A∩B)=6 where A and B are two sets, then n(AUB)=
AP POLYCET - 2019
AP POLYCET
Mathematics
Sets
If A is the set formed by the letters of the word 'POSSESSIVENESS' then n(A) =
AP POLYCET - 2019
AP POLYCET
Mathematics
Sets
\((A-B)∪(B-A)=\)
AP POLYCET - 2019
AP POLYCET
Mathematics
Sets
If
\(-75=9a+b\)
where
\(0 ≤ b <9\)
,
\( a, b\)
are unique integers, then
\(b =\)
AP POLYCET - 2019
AP POLYCET
Mathematics
Quadratic Equations
\(2^x=(0.2)^y=100\)
, then implies
\(\frac{1}{x}-\frac{1}{y}=\)
AP POLYCET - 2019
AP POLYCET
Mathematics
Logarithms
A composite number can be written as a product of prime numbers in
AP POLYCET - 2019
AP POLYCET
Mathematics
Prime and Composite Numbers
The HCF and LCM of 48, 72 and 60 are
AP POLYCET - 2019
AP POLYCET
Mathematics
LCM and HCF
Following is data from a child-care center find the mode of data
Age Group
0-2
2-4
4-6
6-8
8-10
Number of children
5
7
3
2
2
AP POLYCET - 2019
AP POLYCET
Mathematics
Mean, median, mode and standard deviation
For the data 6, 2, 9, 11, 3, 4, 9, 7, 13, 1, which of the following is true?
AP POLYCET - 2019
AP POLYCET
Mathematics
Mean, median, mode and standard deviation
An organization wants to find out the most popular TV serial and conducts a survey. Which measure of central tendency is preferred for the data?
AP POLYCET - 2019
AP POLYCET
Mathematics
Mean, median, mode and standard deviation
If \( \log 2 + \log(x+3) - \log(3x-5) = \log 3 \). The value of \( x = ? \)
NATA - 2019
NATA
Mathematics
Logarithms
The set defined by
\(A = \{ n \in \mathbb{N} \mid (1 + n^2) < 50 \}\)
, where N is the set of natural numbers, then the mean value of elements of A is
AP POLYCET - 2019
AP POLYCET
Mathematics
Sets
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