Which among the following pairs of Vitamins is stored in our body relatively for longer duration ?
Question: Which among the following pairs of Vitamins is stored in our body relatively for longer duration ?Thiamine and Vitamin AVitamin A and Vitamin DThiamine and Ascorbic acidAscorbic acid and Vitamin DCorrect Option: 2, Solution: Vitamin-A Vitamin-D...
Read More →Emf of the following cell at
Question: Emf of the following cell at $298 \mathrm{~K}$ in $\mathrm{V}$ is $x \times 10^{-2} . \mathrm{Zn}\left|\mathrm{Zn}^{2+}(0.1 \mathrm{M}) \| \mathrm{Ag}^{+}(0.01 \mathrm{M})\right| \mathrm{Ag}$ The value of $x$ is________. (Rounded off to the nearest integer) $\left[\right.$ Given $\left.: \mathrm{E}_{\mathrm{Zn}^{2+} / \mathrm{Zn}}^{0}=-0.76 \mathrm{~V} ; \mathrm{E}_{\mathrm{Ag}^{+} / \mathrm{Ag}}^{0}=+0.80 \mathrm{~V} ; \frac{2.303 \mathrm{RT}}{\mathrm{F}}=0.059\right]$ Solution: $\mat...
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Question: Let $A=\left\{n \in \mathbf{N} \mid n^{2} \leq n+10,000\right\}, B=\{3 k+1 \mid k \in \mathbf{N}\}$ and $\mathrm{C}=\{2 \mathrm{k} \mid \mathrm{k} \in \mathrm{N}\}$, then the sum of all the elements of the set $A \cap(B-C)$ is equal to ___________ Solution: $\mathrm{B}-\mathrm{C} \equiv\{7,13,19, \ldots 97, \ldots .\}$ Now, $\mathrm{n}^{2}-\mathrm{n} \leq 100 \times 100$ $\Rightarrow \mathrm{n}(\mathrm{n}-1) \leq 100 \times 100$ $\Rightarrow \mathrm{A}=\{1,2, \ldots, 100\}$ So, $A \cap...
Read More →Match List-I with List-II.
Question: Choose the correct answer from the options given below :(a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)(a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)(a)-(i), (b)-(ii), (c)-(iii), (d)-(iv)(a)-(iii), (b)-(i), (c)-(iv), (d)-(ii)Correct Option: 4, Solution: Siderite $-\mathrm{FeCO}_{3}$ Calamine $-\mathrm{ZnCO}_{3}$ Kaolinite $-\mathrm{Al}_{2}(\mathrm{OH})_{4} \cdot \mathrm{Si}_{2} \mathrm{O}_{5}$ Malachite $-\mathrm{Cu}(\mathrm{OH})_{2} . \mathrm{CuCO}_{3}$...
Read More →The NaNO3 Weighed out to make
Question: The $\mathrm{NaNO}_{3}$ weighed out to make $50 \mathrm{~mL}$ of an aqueous solution containing $70.0 \mathrm{mg} \mathrm{Na}^{+}$per $\mathrm{mL}$ is_________ g. (Rounded off to the nearest integer) [Given : Atomic weight in $\mathrm{g} \mathrm{mol}^{-1}-\mathrm{Na}: 23$; $\mathrm{N}: 14 ; \mathrm{O}: 16]$ Solution: $\mathrm{Na}^{+}$present in $50 \mathrm{ml}$ $=\frac{70 \mathrm{mg}}{1 \mathrm{ml}} \times 50 \mathrm{ml}=3500 \mathrm{mg}=3.5 \mathrm{gm}$ moles of $\mathrm{Na}^{+}=\frac...
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Question: Let $\mathrm{n}$ be a non-negative integer. Then the number of divisors of the form "4n + 1" of the number $(10)^{10} \cdot(11)^{11} \cdot(13)^{13}$ is equal to _____________ Solution: $\mathrm{N}=2^{10} \times 5^{10} \times 11^{11} \times 13^{13}$ Now, power of 2 must be zero, power of 5 can be anything, power of 13 can be anything. But, power of 11 should be even. So, required number of divisors is $1 \times 11 \times 14 \times 6=924$...
Read More →Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R :
Question: Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : Size of Bk3+ ion is less than Np3+ ion. Reason R : The above is a consequence of the lanthanoid contraction. In the light of the above statements, choose the correct answer from the options given below(1) A is false but R is true(2) Both A and R are true but R is not the correct explanation of A(3) Both A and R are true and R is the correct explanation of A(4) A is true ...
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Question: Let $y=y(x)$ be the solution of the differential equation $d y=e^{\alpha x+y} d x ; \alpha \in \mathbf{N}$. If $y\left(\log _{e} 2\right)=\log _{e} 2$ and $y(0)=\log _{e}\left(\frac{1}{2}\right)$, then the value of $\alpha$ is equal to______________ Solution: $\int e^{-y} d y=\int e^{\alpha x} d x$ $\Rightarrow \mathrm{e}^{-\mathrm{y}}=\frac{\mathrm{e}^{\alpha \mathrm{x}}}{\alpha}+\mathrm{c}$ .......(I) Put $(\mathrm{x}, \mathrm{y})=(\ln 2, \ell \mathrm{n} 2)$ $\frac{-1}{2}=\frac{2^{\a...
Read More →Match List-I with List-II.
Question: Match List-I with List-II. Choose the correct answer from the options given below :(a) $\rightarrow$ (iv), (b) $\rightarrow$ (iii), (c) $\rightarrow$ (i), (d) $\rightarrow$ (ii)(a) $\rightarrow$ (i), (b) $\rightarrow$ (iii), (c) $\rightarrow$ (iv), (d) $\rightarrow$ (ii)(a) $\rightarrow$ (iv), (b) $\rightarrow$ (i), (c) $\rightarrow$ (ii), (d) $\rightarrow$ (iii)(a) $\rightarrow$ (iii), (b) $\rightarrow$ (ii), (c) $\rightarrow$ (i), (d) $\rightarrow$ (iv)Correct Option: 1 Solution: (a)...
Read More →Solve this following
Question: Let $y=y(x)$ be the solution of the differential equation $d y=e^{\alpha x+y} d x ; \alpha \in \mathbf{N}$. If $y\left(\log _{e} 2\right)=\log _{e} 2$ and $y(0)=\log _{e}\left(\frac{1}{2}\right)$, then the value of $\alpha$ is equal to______________ Solution: $\int e^{-y} d y=\int e^{\alpha x} d x$ $\Rightarrow \mathrm{e}^{-\mathrm{y}}=\frac{\mathrm{e}^{\alpha \mathrm{x}}}{\alpha}+\mathrm{c}$ .......(I) Put $(\mathrm{x}, \mathrm{y})=(\ln 2, \ell \mathrm{n} 2)$ $\frac{-1}{2}=\frac{2^{\a...
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Question: (a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)(a)-(iv), (b)-(iii), (c)-(i), (d)-(ii)(a)-(ii), (b)-(iv), (c)-(iii), (d)-(i)(a)-(i), (b)-(iii), (c)-(iv), (d)-(ii)Correct Option: 2, Solution: (a) Valium - Tranquilizer (a)-(iv) (b) Morphine - Analgesic (b)-(iii) (c) Norethindrone - Antifertility Drug (c)-(i) (d) Vitamin $\mathrm{B}_{12}-$ Pernicious anaemia (d)-(ii)...
Read More →The nature of charge on resulting colloidal particles
Question: The nature of charge on resulting colloidal particles when $\mathrm{FeCl}_{3}$ is added to excess of hot water is :PositiveSometimes positive and sometimes negativeNeutralNegativeCorrect Option: 1 Solution: If $\mathrm{FeCl}_{3}$ is added to hot water, a positively charged sol, hydrated ferric oxide is formed due to adsorption of $\mathrm{Fe}^{3+}$ ions. $\mathrm{Fe}_{2} \mathrm{O}_{3} \cdot \times \mathrm{H}_{2} \mathrm{O} / \mathrm{Fe}^{3+}$ Positively charged....
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Question: Which of the following reagent is suitable for the preparation of the product in the above reaction ?$\mathrm{NaBH}_{4}$$\mathrm{NH}_{2}-\mathrm{NH}_{2} / \mathrm{C}_{2} \mathrm{H}_{5} \stackrel{\ominus}{\mathrm{O}} \stackrel{\oplus}{\mathrm{Na}}$$\mathrm{Ni} / \mathrm{H}_{2}$$\operatorname{Red} \mathrm{P}+\mathrm{Cl}_{2}$Correct Option: , 2 Solution: To reduce the carbonyl groups into alkane wolf - kischner reduction is used, without affecting the double bond....
Read More →Match List-I with List-II.
Question: Match List-I with List-II. Choose the correct answer from the options given below :(a) $\rightarrow$ (iii), (b) $\rightarrow$ (i), (c) $\rightarrow$ (v), (d) $\rightarrow$ (ii)(a) $\rightarrow$ (i), (b) $\rightarrow$ (ii), (c) $\rightarrow$ (v), (d) $\rightarrow$ (iii)(a) $\rightarrow$ (iii), (b) $\rightarrow$ (v), (c) $\rightarrow$ (i), (d) $\rightarrow$ (iv)(a) $\rightarrow$ (i), (b) $\rightarrow$ (ii), (c) $\rightarrow$ (iii), (d) $\rightarrow$ (iv)Correct Option: , 3 Solution: (a) ...
Read More →Identify A in the given reaction.
Question: Identify $\Lambda$ in the given reaction. Correct Option: , 2 Solution:...
Read More →In polymer Buna-S: 'S' stands for :-
Question: In polymer Buna-S: 'S' stands for :-SulphonationStrengthSulphurStyreneCorrect Option: 4, Solution: BUN-S, 'S' stand for styrene. $-1,3$-diene...
Read More →Match List-I with List-II.
Question: Match List-I with List-II. Choose the correct answer from the options given below :(a) $\rightarrow$ (iii), (b) $\rightarrow$ (iv), (c) $\rightarrow$ (i), (d) $\rightarrow$ (ii)(a) $\rightarrow$ (i), (b) $\rightarrow$ (ii), (c) $\rightarrow$ (iii), (d) $\rightarrow$ (iv)(a) $\rightarrow$ (ii), (b) $\rightarrow$ (i), (c) $\rightarrow$ (iv), (d) $\rightarrow$ (iii)(a) $\rightarrow$ (iv), (b) $\rightarrow$ (iii), (c) $\rightarrow$ (ii), (d) $\rightarrow$ (i)Correct Option: 1 Solution: (a)...
Read More →The number of real roots of the equation
Question: The number of real roots of the equation $\mathrm{e}^{4 \mathrm{x}}-\mathrm{e}^{3 \mathrm{x}}-4 \mathrm{e}^{2 \mathrm{x}}-\mathrm{e}^{\mathrm{x}}+1=0$ is equal to Solution: $\mathrm{t}^{4}-\mathrm{t}^{3}-4 \mathrm{t}^{2}-\mathrm{t}+1=0, \mathrm{e}^{\mathrm{x}}=\mathrm{t}0$ $\Rightarrow \mathrm{t}^{2}-\mathrm{t}-4-\frac{1}{\mathrm{t}}+\frac{1}{\mathrm{t}^{2}}=0$ $\Rightarrow \alpha^{2}-\alpha-6=0, \alpha=\mathrm{t}+\frac{1}{\mathrm{t}} \geq 2$ $\Rightarrow \alpha=3,-2$ (reject) $\Righta...
Read More →Which one of the following carbonyl compounds cannot be prepared
Question: Which one of the following carbonyl compounds cannot be prepared by addition of water on an alkyne in the presence of $\mathrm{HgSO}_{4}$ and $\mathrm{H}_{2} \mathrm{SO}_{4}$ ?Correct Option: , 3 Solution: Reaction of $\mathrm{HgSO}_{4} /$ dil. $\mathrm{H}_{2} \mathrm{SO}_{4}$ with alkyne gives addition of water as per markonikoff's rule. Hence $\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CHO}$ cannot be form....
Read More →Prove the following
Question: considering the above reaction, the major product among the following is :Correct Option: 1 Solution:...
Read More →Match List-I with List-II
Question: Match List-I with List-II List-I (c) $2 \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{Cl}+2 \mathrm{Na} \stackrel{\text { Ether }}{\longrightarrow} \mathrm{C}_{2} \mathrm{H}_{5}-\mathrm{C}_{2} \mathrm{H}_{5}+2 \mathrm{NaCl}$ (d) $2 \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{Cl}+2 \mathrm{Na} \stackrel{\text { Ether }}{\longrightarrow} \mathrm{C}_{6} \mathrm{H}_{5}-\mathrm{C}_{6} \mathrm{H}_{5}+2 \mathrm{NaCl}$ List-II (i) Wurtz reaction (ii) Sandmeyer reaction (iii) Fittig reaction (iv) Gatterman...
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Question: If $\int_{0}^{\pi}\left(\sin ^{3} x\right) e^{-\sin ^{2} x} d x=\alpha-\frac{\beta}{e} \int_{0}^{1} \sqrt{t} e^{t} d t$, then $\alpha+\beta$ is equal to_____________ Solution: $I=2 \int_{0}^{\pi / 2} \sin ^{3} x e^{-\sin ^{2} x} d x$ $=2 \int_{0}^{\pi / 2} \sin x \mathrm{e}^{-\sin ^{2} x} \mathrm{dx}+\int_{0}^{\pi / 2} \cos x \underbrace{\mathrm{e}^{-\sin ^{2} x}(-\sin 2 x)}_{\mathrm{II}} \mathrm{dx}$ $=2 \int_{0}^{\pi / 2} \sin x e^{-\sin ^{2} x} d x+\left[\cos x e^{-\sin ^{2} x}\righ...
Read More →Calgon is used for water treatment.
Question: Calgon is used for water treatment. Which of the following statement is NOT true about Calgon?Calgon contains the $2^{\text {nd }}$ most abundant element by weight in the Earth's crust.It is polymeric compound and is water soluble.It is also known as Graham's saltIt does not remove $\mathrm{Ca}^{2+}$ ion by precipitation.Correct Option: 1 Solution: $\rightarrow 2^{\text {nd }}$ most abundant element is "Si" and it is not present in calgon $\mathrm{Na}_{6} \mathrm{P}_{6} \mathrm{O}_{18}...
Read More →Match List-I with List-II :
Question: Match List-I with List-II : Choose the correct answer from the options given below :(a)-(iv), (b)-(ii), (c)-(iii), (d)-(i)(a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)(a)-(i), (b)-(iv), (c)-(ii), (d)-(iii)(a)-(ii), (b)-(iv), (c)-(iii), (d)-(i)Correct Option: , 4 Solution:...
Read More →Solve this following
Question: Let $\mathrm{E}$ be an ellipse whose axes are parallel to the co-ordinates axes, having its center at $(3,-4)$, one focus at $(4,-4)$ and one vertex at $(5,-4)$. If $m x-y=4, m0$ is a tangent to the ellipse $E$, then the value of $5 \mathrm{~m}^{2}$ is equal to Solution: Given $C(3,-4), S(4,-4)$ and $\mathrm{A}(5,-4)$ Hence, $a=2 \ a e=1$ $\Rightarrow \mathrm{e}=\frac{1}{2}$ $\Rightarrow \mathrm{b}^{2}=3$ So, $\mathrm{E}: \frac{(\mathrm{x}-3)^{2}}{4}+\frac{(\mathrm{y}+4)^{2}}{3}=1$ Int...
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