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Choose the correctly spelt word.
Given below are four sentences in jumbled order. Select the option that gives their correct order.
A. Once on their way, the stones did not stop until they reached the bottom of the hill.
B. You had to be very careful not to start a landslide.
C. Loose stones rattled down the cliff.
D. And they took other stones with them, so that there was soon a cascade of stones.
Choose the correct answer from the options given below:
Choose the correct sentence.
Match List I with List II :
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Choose the correct answer from the options given below:
Which two of the following are in correct form ?
A. Let's go to the cinema, shall we ?
B. Let's go to the cinema, do we ?
C. Let's not go to the cinema, shall we ?
D. Let's not go to the cinema, shan't we ?
Choose the correct answer from the options given below:
Choose the option which is opposite in meaning to the following word:
Castigate
Identify the correct indirect narration for the following sentence :
"Who now," they had asked, "Will listen to our troubles and protect us from the crocodiles"?
Which of the following is a one-word substitute for 'safe to drink'?
Identify suitable preposition from the options given below to compute the sentence.
Neha would think it her to do such a small work.
Identify the active voice for the following sentence :
These things have been left here by an unknown person.
Amid economy crisis and political turmoil in Sri Lanka who has been appointed as the new PM of Sri Lanka.
Who has become the First female to took the office of President of Tanzania and the third woman head of the government of country in East African Community?
India held the first spot in the International Shooting Sport Federation World Cup 2022 which was being held in __________.
Who has won the Men's Single Title at 79th Edition of the Italian Open being held in Rome?
What is the current year estimation of the GDP growth according to the Nirmala Sitharaman in the Union Budget 2022-23?
All the intellectuals are very emotional, because :
A. They are thinking beings
B. They are logical beings
C. They are mathematical beings
D. They are philosophers
E. They are layman
Choose the correct answer from the options given below :
Choose the best options for football players :
A. Player 'XYZ' shows team spirit
B. Player 'XYZ' have sp01ismanship
C. Player 'XYZ' have hatred for other team-mates
D. Player 'XYZ' shows jealousy
E. Player 'XYZ' shows patience
Choose the correct answer from the options given below :
A person can learn Sanskrit without a teacher :
A. It is not possible learning Sanskrit without a teacher: as it is a technical subject.
B. It is possible to learn Sanskrit as it is non-technical subject.
C. Anyone can learn it: as it is just a language.
D. It can be learned by daily practice under a teacher.
E. It is easy for a person, who know Hindi language.
Choose the most appropriate answer from the options given below :
Give below are two statements :
Statement I: Pollution level in Delhi may be reduced by reducing the factories.
Statement II : All factories are creating noise pollution and are dangerous to health.
In the light of the above statements, choose the correct answer from the options given below
Give below are two statements :
Statement I : Education is important for both male and female.
Statement II: Government must encourage co-education, as it is required for country's development.
In the light of the above statements, choose the most appropriate answer from the options given below
If $$x^{2}+\frac{1}{x^{2}} = 2$$ then the value of $$x^{3}+\frac{1}{x^{2}}$$ is
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R
Assertion A : If the volumes of two cubes are in the ratio of 3 : 2 then their surface areas are in the ratio of 4 : 9.
Reason R : If the surface areas of two cubes are in the ratio $$S_{1} : S_{2}$$, then their volumes are in the ratio $$S_{1}^{3/2} : S_{2}^{3/2}$$
In the light of the above statements, choose the correct answer from the options given below :
Thus, the correct answer is Option D.
If the height and base radius of a cone are increased by 50% and 25% respectively then the ratio between the volume of a given cone and the new cone is
Let us assume the earlier height and radius of the cone to be 100 and 100 units respectively.
Height and radius of the new cone = 150 and 125 units respectively.
Ratio of volumes = $$\frac{1}{3}\pi\ 100^2\times\ 100\ :\ \frac{1}{3}\pi\ 125^2\times\ 150\ =100^3\ :\ 125^2\times\ 150\ =\ 32:75$$
The probability of selecting a vowel from the word TRIANGLE is -
2
Total number of letters in the word TRIANGLE = 8.
Number of vowels = 3.
Probability of selecting a vowel = 3/8.
If one root of quadratic equation $$2x^{2} - 3x + (2k + 1) = 0$$ is five times the other then the value of k is :
Let us assume the roots to be A and 5A.
Sum of roots = -b/a = 3/2
A + 5A = $$\frac{3}{2}$$ ==> A = $$\frac{1}{4}$$.
Product of roots = c/a = $$\frac{\left(2k+1\right)}{2}=k\ +\ \frac{1}{2}$$
$$A\cdot5A=k\ +\ \frac{1}{2}$$
$$\frac{1}{4}\times\ \frac{5}{4}=k\ +\ \frac{1}{2}$$
k = $$-\frac{3}{16}$$
If $$f(t) = t^{2}$$, compute f(99) and f(101), Between those times, what is the increase in f divided by the increase in t?
f(99) = $$99^2$$ and f(101) = $$101^2$$.
Increase in value of f = $$101^2\ -99^2$$ = (101 - 99)(101 + 99) = 2*200 = 400,
and increase in value of t = 101 - 99 = 2.
Required answer is : $$\frac{400}{2}=200$$.
When you jump up and fall back your height is $$y = 2t - t^{2}$$. Find the time in the air and maximum height.
What would be the area bounded by the curves $$y = \sqrt{(4-x^{2})}: x^{2} = -\sqrt{(2y)}$$ and $$x = y$$
If A and B are two sets them AU (A $$\cap$$ B) will be equal to
This problem is a direct application of the Absorption Law in set theory, which states that $$A \cup (A \cap B) = A$$. This happens because the intersection $$A \cap B$$ represents only the elements common to both sets, making it a subset of $$A$$; therefore, when you take the union of $$A$$ with a part of itself, the result remains the original set $$A$$. Essentially, since every element in $$A \cap B$$ is already contained within $$A$$, adding them to $$A$$ doesn't introduce any new elements.
If A, B, C are subsets of M, then $$C \times (A^{c} \cup B^{c})$$
The Solution of differential equation xdy - ydx = 0; is
The family of curves for the equation $$y = Bx + B^{4}$$, where B is a constant; is represented by equation of ____________ degree
Please find the ratio in which a line 3x + 4y = 2 divides the line segment joining A(-2, - 3) and B(4, 6)
The ratio $$k : 1$$ in which a line $$ax + py + c = 0$$ divides the segment joining $$(x_1, y_1)$$ and $$(x_2, y_2)$$ is given by:
$$\text{Ratio} = -\frac{ax_1 + by_1 + c}{ax_2 + by_2 + c}$$
Substituting the values:
Ratio = $$-\left(\frac{3\left(-2\right)+4\left(-3\right)-2}{3\left(4\right)+4\left(6\right)-2}\right)=-\left(\frac{-20}{34}\right)=\frac{10}{17}$$.
Following instruction :
Consider the lines $$m = \frac{x + 1}{3} = \frac{x + 2}{1} = \frac{z + 1}{2}$$ and $$n : \frac{x - 2}{1} = \frac{y + 2}{2} = \frac{z - 3}{3}$$
The unit vector perpendicular to both m and n is
Following instruction :
Consider the lines $$m = \frac{x + 1}{3} = \frac{y + 2}{1} = \frac{z + 1}{2}$$ and $$n : \frac{x - 2}{1} = \frac{y + 2}{2} = \frac{z - 3}{3}$$
The shortest distance between m and n is
Following instruction :
Consider the lines $$m = \frac{x + 1}{3} = \frac{y + 2}{1} = \frac{z + 1}{2}$$ and $$n : \frac{x - 2}{1} = \frac{y + 2}{2} = \frac{z - 3}{3}$$
The distance of the point (1,1,1) from the plane passing through the point (-1, -2, -1) and whose normal is perpendicular to both the lines m and n
If n(A) = 5 and (n)B = 7, then the number of relations on A $$\times$$ B is
To calculate the number of relations from set $$A$$ to set $$B$$, we first find the number of elements in their Cartesian product, $$n(A \times B)$$, which is $$n(A) \times n(B) = 5 \times 7 = 35$$. Since a relation is defined as any subset of the Cartesian product $$A \times B$$, and a set with $$m$$ elements has $$2^m$$ possible subsets, the total number of relations is $$2^{35}$$. This formula accounts for every possible combination of ordered pairs that can be formed between the two sets.
Let X and Y be two sets containing 4 and 2 elements respectively. Then the number of subsets of the sets of the set Y $$\times$$ X, is
Number of elements in $$Y\ \times\ X\ =\ 2\times\ 4\ =\ 8$$
Number of subsets of a set with n elements = $$2^n$$.
Number of subsets of $$Y\ \times\ X\ =\ 2^8=256$$.
In a school of 300 students, every student reads 5 newspaper and every newspaper is read by 60 students. The total number of newspaper is:
Let A and B be two non-empty subsets of set X such that A is not a subset of B, then
If $$A$$ is not a subset of $$B$$, there must exist at least one element $$x$$ that belongs to $$A$$ but does not belong to $$B$$. By definition, any element not in $$B$$ must be in its complement, $$B^c$$, which means $$x$$ is common to both $$A$$ and $$B^c$$. Since their intersection contains at least this one element ($$A \cap B^c \neq \emptyset$$), the two sets are "non-disjoint" by necessity.
Area bounded by parabola $$y^{2} = x$$ and straight line 2y = x is
Area bounded by curve $$y^{2} = x$$; and $$y = |x|$$, in square units is
$$\int_{0}^{a} \frac{xdx}{\sqrt{a^2 + x^2}}$$=
$$\int_{0}^{a} \frac{x^{4}dx}{(a^{2} + x^{2})^4}$$=
$$\int_{0}^{\frac{\pi}{6}} \frac{\sin x}{\cos^{3}} dx$$=
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Identify the name of the above molecular shape
The bond order between oxygen atoms in ozone molecules is
Paramagnetism arises from the presence of unpaired electrons, each such electron having a magnetic moment associated with its spin angular momentum and orbital angular momentum.
Keto-enol isomerism is an example of
Which one of the following molecules is not aromatic
Which one of the following statements is not false?
An example of the activator molecule required for the reaction of primary alcohol to produce halo-alkane is
Primary aromatic amines yield diazonium ions in a solution of
Molecularity of a bimolecular reaction is
To calculate Pauling electronegativity for an element, it is necessary to have data on the ________ energies of at least two types of covalent bonds formed by that element
___________law governs colligative properties
0 - H bond distance is
Th e formulae $$(RP)_{n}$$ belongs to:
Th e hybridization state of boron in diborane is
Amongst the following, the most reactive carbonium ion is:
As a consequence of its open structure, water is one of the very few substances that expands on freezing ( at $$0^{\circ}C$$, liquid water has a density of 1.00 g/mL), whereas ice has a density of:
The dielectric constant of a solvent is a measure of its ability to keep opposite charges apart. The dielectric constant of water is among highest. The value of dielectric constant for water is:
Most of the biological molecules have both polar ( or ionically charged) and nonpolar segments and are therefore simultaneously hydrophilic and hydrophobic. Such molecules (for example fatty acids) are called as:
If 5 gram of pure water is added to 1000 mL of pure water, what would be the molarity of the solution?
If at constant temperature, for a reaction the change in enthalpy is negative and the change in entropy is positive, which one of the following statements is not wrong:
If at constant temperature, for a reaction the change in enthalpy is positive and the change in entropy is negative, which one of the following statements is true:
At constant pressure and temperature, Delta G for a biological process represents its ____________.
Most of the biological molecules, are thermodynamically unstable to hydrolysis but, nevertheless, spontaneously hydrolyze at biologically insignificant rates because:
The equilibrium constant of a reaction may be calculated from
Any deviation from equilibrium stimulates a process that tends to restore the system to equilibrium. This principle was given by:
The standard state convention commonly used in physical chemistry defines the standard state of a solute as that with __________.
The hydrogen ion activity is defined as ___________ at the physiologically relevant PH of 7.
An amino acid can therefore act as either an acid or a base. Substances with this property are said to be ___________.
The largest, standard, naturally occurring alpha amino acid in biological systems is:
The smallest, standard, naturally occurring alpha amino acid in biological systems is:
Which one of the following is an amino acid with a thiol group?
Which one of the following is acidic amino acid?
The pH at which a molecule carries no net electric charge is known as its
Which one of the following does represent Glx?
Which one of the following amino acid is not optically active?
Molecules that are nonsuperimposable mirror images are know as
All a-amino acids derived from proteins have the _________ stereochemical configuration.
The absolute configuration of L-amino acid residues may be represented by acronym.
DNA has equal numbers of adenine and thymine residues (A = T) and equal numbers of guanine and cytosine residues (G = C). These relationships, known as __________
Which non-metal is in liquid state at room temperature?
Which element has smallest atomic radius?
Element X forms a chloride with the formula XCI, which is a solid with a high melting point. X would most likely be in the same group of the Periodic Table as
An atom has electronic configuration 2, 8, 7. What is the atomic number of this element?
Litmus solution is a purple dye, which is extracted from lichen, a plant belonging to the ________ division.
When pH of rain water is less than __________, it is called acid rain.
The atmosphere of planet Venus is made up of thick white and yellowish clouds of __________
Tooth enamel, made up of ___________, which is the hardest substance in the body
Bleaching powder is produced by the action of chlorine on _________
The chemical composition of Plaster of Paris is
A solution turns red Litmus blue, its pH is most probably is __________
The movement of electrically charged particles in a fluid under the influence of an external electrical field is called electrophoresis. It is used to separate _________
According to Bouguer's (or Lambert's) law, each layer of equal thickness of the medium absorbs
$$\int_{}^{} \sec^{2} (7 - 4x) dx = \alpha \tan (7 -4x) + C$$ find the value of a.
If the reaction temperature is increased by 10 degrees centigrade, the reaction rate gets increased by:
UV - V is spectroscopy is of ten used in bacterial culturing. OD measurements are routinely and quickly taken using a wavelength of __________ run to estimate the cell concentration and to track growth.
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