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questions
List of practice Questions
The number of students who take both the subjects mathematics and chemistry is 30. This represents 10% of the enrolment in mathematics and 12% of the enrolment in chemistry. How many students take at least one of these two subjects ?
Mathematics
types of sets
The number of real roots of the equation
$|2-|1-|x|||=1$
is
Mathematics
inequalities
The number of real roots of
$(x - 1) (x - 2) (x - 3) (x - 4) = 3$
is
Mathematics
Complex numbers
The number of rectangles which we can form on a chess board is
Mathematics
Combinations
The number of six digit numbers, whose all digits are odd (i.e.,
$1 , 3 , 5 , 7 , 9 )$
, is
Mathematics
Permutations
The number of plant species recorded from India, is
Biology
Conservation of Biodiversity
The number of points in
$[-2\pi,2\pi]$
, the tangents at which to the curve
$y = \sin x$
are perpendicular to the
$y-axis$
is
Mathematics
Tangents and Normals
The number of positive integral solutions of
$ \frac {x^2 (3x-4)^3 (x-2)^4} {(x-5)^5 (2x-7)^6 }\leq 0$
is .
Mathematics
Complex numbers
The number of radial nodes and angular nodes for d-orbital can be represented as
Chemistry
Quantum Mechanical Model of Atom
The number of pairs of consecutive odd natural numbers both of which are larger than 10, such that their sum is less than 40, is
Mathematics
inequalities
The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines:
Mathematics
Combinations
The number of permutations of taking all letters and keeping the vowels of the words in the odd places is
Mathematics
Permutations
The number of ordered pairs (x, y) satisfying
$ {3^{x} . 5^{y} = 75}$
and
$ {3^{y} . 5^{x} = 45}$
is
Mathematics
solution of system of linear inequalities in two variables
The number of P-O-H and P-H bonds in orthophosphorus acid molecule are relatively
Chemistry
Phosphorus
The number of P-O-H links in orthophosphoric acid molecule is
Chemistry
Phosphorus
The number of natural numbers less than
$1000$
in which no two digits are repeated is
Mathematics
Permutations
The number of nephrons in a kidney is equal to
Biology
Excretory system
The number of neutrons in 1.8 g of water will approximately be
Chemistry
Mole concept and Molar Masses
The number of numbers consisting of four different digits that can be formed with the digits 0, 1, 2, 3 is :
Mathematics
Combinations
The number of isomers ketones with formula
$ {C_6H_{12}O}$
are
Chemistry
Isomerism
The number of molecules in 100m L of 0.02N
$H_2SO_4$
is
Chemistry
Mole concept and Molar Masses
The number of moles of
$ {H_2}$
in 0.224 litre of hydrogen gas at STP (273 K, 1 atm) is :
Chemistry
Mole concept and Molar Masses
The number of half filled orbitals in the valence shell of halogens is
Chemistry
Group 17 Elements
The number of integral terms in the expansion
$\left(\sqrt{3}+\sqrt[8]{5}\right)^{256}$
Mathematics
Integrals of Some Particular Functions
The number of isomers exhibited by
$[Cr(NH_3)_3Cl_3]$
is
Chemistry
Isomerism in Coordination Compounds
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