100525 + Interview Questions in GENERAL QA IN GENERAL AWARENESS

1.	In presence of a strong oxidising agent `As_(2)S_(3)` is oxidised to arsiante and sulphate. What is the n-factor of `As_(2)S_(3)`A. 4B. 18C. 28D. 24
Answer» Correct Answer - C `As^(+3) to As^(+5) + 2e^(-)` `S^(-2) to S^(+6) + 8e^(-)` `As_(2)S_(3) to AsO_(3)^(3-) + SO_(4)^(2-)`

Discussion

2.	For the reaction A + B → products the rate becomes doubled when concentration of only A is increased by two times, the rate is increased by four times, when the concentration B is alone is doubled what is the order of the reaction?
Answer» The answer is 2 or two.

Discussion

3.	Match the following :
Answer» Correct Answer - A`to`r,s ; B`to`r , C`to`q,s,t ; D`to`q,s,t Aromatic `to` planar cyclic, (4n+2) `pie^(-)` , complete conjugation Antiaromatic `to` planar, cyclic , (4n) `pie^(-)`, complete conjugation Non aromatic - cyclic structure with non-planar geometry with any hybridization

Discussion

4.	Dettol is an exmaple of:-A. AntisepticB. AntimalarialC. AntibioticD. Antifertility drug
Answer» Correct Answer - A Dettol is an exmple of antiseptic

Discussion

5.	B is:-A. TeryleneB. AcrilanC. Nylon-6,6D. Novolac
Answer» Correct Answer - C Condensation polymer formed by adipic acid and hexamethylane diamine is Nylon 6,6

Discussion

6.	Compunds with `C_(4)H_(11)N` as molecular formula can exhibit:-A. Position isomersimB. MetamerismC. Functional isomerismD. All the three
Answer» Correct Answer - D `C_(4)H_(11)N` - `CH_(3)-CH_(2) -CH_(2) - NH_(2)` `CH_(3) -CH_(2)-CH_(2)-NH -CH_(3)` Functional isomers `CH_(3)-CH_(2)-CH_(2)-NH -CH_(3)` `CH_(3) - CH_(2) - NH-CH_(2)-CH_(3)` Metamer `CH_(3)-CH_(2)-CH_(2)-CH_(2)-NH_(3)` `CH_(3)-CH_(2)-underset(NH_(2))underset(\|)(CH)-CH_(3)` Position isomers

Discussion

7.	The degree of hydrolysis of salt of weak acid and weak base in its 0.1M solution is found to be 5%. If the molarity of the solution of same salt is 0.5 M, then the percentage degree of hydrolysis of the salt should be :-A. 0.1B. 0.05C. `2.5%`D. None of these
Answer» Correct Answer - B Degree of hydrolysis of salt of weak and weak base is independent from concentration.

Discussion

8.	The general electrophilic substitution reaction (replacement of H. by an electrophilic which is an electron deficient species) in aromatic ring is represented as followed. An electrophilic attacks on ortho and para positions which respect to a stronger +m group are present in benzene ring and the electrophilie attacks at meta position with respect to stronger -m group if two -m groups are present in benzene ring. What will be the product when electrophile `Br^(o+)` attacks on B. C. D.
Answer» Correct Answer - B Because -m of `-NO_2 gt -C=N` `-NO_2` will decide .

Discussion

9.	The general electrophilic substitution reaction (replacement of H. by an electrophilic which is an electron deficient species) in aromatic ring is represented as followed. An electrophilic attacks on ortho and para positions which respect to a stronger +m group are present in benzene ring and the electrophilie attacks at meta position with respect to stronger -m group if two -m groups are present in benzene ring. If electrophilic `Br^(o+)` attacks on the product will be :B. C. D.
Answer» Correct Answer - A Since + m:- `OCH_3 gt -NHCOCH_3` so `-OCH_3` will decide

Discussion

10.	Which of the following is most basic ?A. `Lu(OH)_(3)`B. `Yb(OH)_(3)`C. `Ce(OH)_(3)`D. `Tb(OH)_(3)`
Answer» Correct Answer - C Among lanthanaids, on moving L to R, Zeff `uarr` Attraction `uarr` Acidic charcter `uarr` basic character `darr` On moving left to right basic character elecreases

Discussion

11.	From which of the following reaction anhydrous `MgCl_(2)` can be preparedA. `MgCl_(2).6H_(2)O +` current of dry HClB. Mg + dil HCl on heatingC. `MgCl_(2). 6H_(2)O` on heatingD. `MgSO_(4).7H_(2)O` on heating
Answer» Correct Answer - A Concept

Discussion

12.	10. Name the gas which forms complex carboxy haemoglobin.11. Which gas is liberated in Dumas Process?12. 13. Mention the catalyst in Friedel-craft's alkylation?
Answer» 10. Carbon Monoxide 11) Nitrogen 12.13) Aluminum tricholoride Carbon Monoxide. N2 gas. Aluminum Trichloride

Discussion

13.	The correct statement regarding water pollution is:-A. Water pollution take place only on surfaceB. The source which are identified as water pollution are called non point sourceC. The source which not be identified as water pollution are non point sourceD. All of them
Answer» Correct Answer - C Those source of water pollution which are not identified are called as non point source.

Discussion

14.	When copper is heated with conc. `HNO_(3)` it produces?A. `Cu(NO_(3))_(2)` and `NO_(2)`B. `Cu(NO_(3))_(2)` and NOC. `Cu(NO_(3))_(2),NO` and `NO_(2)`D. `Cu(NO_(3))_(2)` and `N_(2)O`
Answer» Correct Answer - A `Cu + "conc." . HNO_(3) overset(Delta) to Cu(NO_(3))_(2) + NO_(2)`

Discussion

15.	For the electrophilic substitution reaction involving nitration, which of the following sequence regarding the rate of reaction is true? (1) \( K _{ C _{6} H _{6}}> K _{ C _{6} D _{6}}> K _{ C _{6} T _{6}} \) (2) \( K _{ C _{6} H _{6}}< K _{ C _{6} D _{6}}< K _{ C _{6} T _{6}} \) (3) \( K_{ C _{6} H _{6}}= K _{ C _{6} D _{6}}= K _{ C _{6} T _{6}} \) (4) \( K _{ C _{6} H _{6}}> K _{ C _{6} D _{6}}< K _{ C _{6} T _{6}} \)
Answer» The correct option is (3). In nitration, rate does not depend on removal of proton as it is the fast step.

15.

For the electrophilic substitution reaction involving nitration, which of the following sequence regarding the rate of reaction is true? (1) \( K _{ C _{6} H _{6}}> K _{ C _{6} D _{6}}> K _{ C _{6} T _{6}} \) (2) \( K _{ C _{6} H _{6}}< K _{ C _{6} D _{6}}< K _{ C _{6} T _{6}} \) (3) \( K_{ C _{6} H _{6}}= K _{ C _{6} D _{6}}= K _{ C _{6} T _{6}} \) (4) \( K _{ C _{6} H _{6}}> K _{ C _{6} D _{6}}< K _{ C _{6} T _{6}} \)

Answer»

The correct option is (3).

In nitration, rate does not depend on removal of proton as it is the fast step.

Discussion

16.	Which step is not feasible in the following loop ? A. step aB. step bC. step cD. step d
Answer» Correct Answer - D Addition reaction is faster than substitution reaction

Discussion

17.	The type of isomerism exhibited `K_(3)[Co(NO_(2))_(6)]` and `K_(3)[Co(ONO)_(6)]`:-A. LinkageB. Co-ordinationC. IonisationD. Geometrical
Answer» Correct Answer - A Ambidenate ligand is responsible for linkage isomerism

Discussion

18.	How many type of isomerism is exhibited by the complex `[Co(NH_(3))_(4)(NO_(2))_(2)]Cl`?
Answer» Correct Answer - 3 (i)Ionisation isomers `[Co(NH_3)_4(NO_2)_2Cl and [Co(NH_3)_4 (NO_2)(Cl)NO_2` (ii)Linkage isomers `[Co(NH_3)_4(NO_2)_2Cl and [Co(NH_3)_4 (ONO_2)(Cl)` (iii)Geometrical isomers : cis and trans

Discussion

19.	the number of moles of hi consumed if 1 mole of anisole reacts with excess of hi
Answer» The reaction is MeOPh + HI -----> HOPh + MeI Now 1 mole of MeOPh will react with 1 mole of HI. So answer is '1'

Discussion

20.	Among the following, the species in which the oxidation number of an element is +6
Answer» Answer: CrO₂Cl₂ The oxidation number of manganese in MnO₄⁻ is 7. The oxidation number of chromium in Cr(CN)₆³⁻ is +3. The oxidation number of nickel in NiF₆²⁻ is +4. The oxidation number of chromium in CrO₂Cl₂ is +6. Hence, the species in which an element has oxidation number +6 is CrO₂Cl₂.

Discussion

21.	The possible number of stereoisomers of the product of following reaction would be : `Ph-CH=CH-undersetunderset(CH_3)(\|)CH-CHOoverset(NH_2OH)to`A. 2B. 4C. 6D. 8
Answer» Correct Answer - D Product=`Ph-CH=CH-undersetunderset(CH_3)(\|)CH-CH=NOH` Total number of stereoisomers =`2^(n)=2^(3)=8` (n = number of stereo centres (G.I.+O.I.)=2+1=3)

Discussion

22.	Number of optically inactive stereoisomers of the following molecule is . `CH_3-CH=CH-undersetunderset(OH)(\|)CH-CH=CH-undersetunderset(OH)(\|)CH-CH=CH-CH_3`
Answer» Correct Answer - 4 No of optically inactive isomers `=2 (n-1)/2 =2 (5-1)/2=2 4/5 =2^2 =4`

Discussion

23.	For the molecule, the number of all possible stereoisomers is : \[ CH _{3}- CH = CH - CH ( OH )- CH = CH - CH \] \[ = C \left( CH _{3}\right)_{2} \]
Answer» 8 is the correct answer. CH₃ - CH \(\underset{}{=}\) CH - \(\underset{}{CH(OH)}\) - CH \(\underset{*}=\) CH - CH = C(CH₃)₂ Number of stereo center = 3 \(\therefore\) Number of stereoisomer = 2³ = 8

23.

For the molecule, the number of all possible stereoisomers is : \[ CH _{3}- CH = CH - CH ( OH )- CH = CH - CH \] \[ = C \left( CH _{3}\right)_{2} \]

Answer»

8 is the correct answer.

CH₃ - CH \(\underset{*}{=}\) CH - \(\underset{*}{CH(OH)}\) - CH \(\underset{*}=\) CH - CH = C(CH₃)₂

Number of stereo center = 3

\(\therefore\) Number of stereoisomer = 2³ = 8

Discussion

24.	Give the correct order of decreasing acidity of the following compounds
Answer» Correct orderal acidity — IV > I > II > III In (IV), due to presence of three highly electron withdrawing -NO₂ group, (IV) has highest acidic character among them. In (II) due to presence of one -CH₃ (electron releasing) group. It has low acidic character them (I). In (III), due to presence of two -CH₃ group adjacent to -NO₂ group, -NO₂ group goes out of plane of benzene ring. That's why, it not participate in the conjugation (Resonance) with benzene ring. So, there is no -R effect of -NO₂ group. There is only, -I effect of -NO₂. That's why, it has lowest acidic character among them. Hence, the correct order of acidity will be — IV > I > II > III

24.

Give the correct order of decreasing acidity of the following compounds

Answer»

Correct orderal acidity — IV > I > II > III

In (IV), due to presence of three highly electron withdrawing -NO₂ group, (IV) has highest acidic character among them.

In (II) due to presence of one -CH₃ (electron releasing) group. It has low acidic character them (I).

In (III), due to presence of two -CH₃ group adjacent to -NO₂ group, -NO₂ group goes out of plane of benzene ring. That's why, it not participate in the conjugation (Resonance) with benzene ring. So, there is no -R effect of -NO₂ group. There is only, -I effect of -NO₂. That's why, it has lowest acidic character among them.

Hence, the correct order of acidity will be —

IV > I > II > III

Discussion

25.	\( 9 . \)Which of the following is absolute configuration of carbon \( 2 \& 3 \) respectively?(1) \( 2 R , 3 R \)(2) \( 2 S , 3 S \)(3) \( 2 R , 3 S \)(4) \( 2 S, 3 R \)
Answer» it's correct answer is -- 2R, 3R

Discussion

26.	A gas is found to contains 2.34 gm of nitrogen and 5.34 gm of oxygen simplest formula of the compound is :-A. `N_(2)O`B. NOC. `N_(2)O_(3)`D. `NO_(2)`
Answer» Correct Answer - D `{:(N,2.314/14,=,0.165,0.165/0.165=1,),(O, 5.34/16 ,=, 0.333, 0.333/0.165~=2,):}` `:.` Empirical formula `= NO_(2)`

Discussion

27.	Write the sum of the order and degree of thedifferential equation`((d^2y)/(dx^2))+((dy)/(dx))^3+x^4=0.`
Answer» Given differential equation is, `((d^2y)/dx^2)^2+(dy/dx)^3+x^4 = 0` Here, highest differential term is `(d^2y)/dx^2`. so, order of the given differential equation is `2.` As power of highest differential term is `2`, so, degree of the given differential equation is `2.` `:.` Sum of order and degree of the given differential equation ` = 2+2 = 4`.

Discussion

28.	Let `f: N -> R`be a function defined as `f(x)=4x^2+12 x+15.`Show that `f: N -> S,`where `S`is the range of `f`is invertible. Also find the inverse of `f`
Answer» a function is invertible only one-one and onto `x_1,x_2 in R` `f(x_1)=f(x_2)` `x_1=x_2` `4x_1^2+12x_1+15=4x_2^2+12x_2+15` `4(x_1^2-x_2^2)+12(x_1-x_2)=0` `(x_1-x_2)(x_1+x_2)+3(x_1-x_2)=0` `(x_1-x_2)[x_1+x_2+x_3]=0` This is one one function function has range=co-domain f(x) is one one and onto function `f(x)=4x^2+12x+15` `f(x)=(2x)^2*(2x)(3)+3^2+6` `y=f(x)=(2x+3)^2+6` `y=(2x+3)^2+6` `(y-6)=(2x+3)^2` `(2x+3)=sqrt(y-6` `x=(sqrt(y-6)-3)/2` `f^(-1)(Y)=(sqrt(y-6)-3)/2`.

Discussion

29.	The remainder when `2^(2003)` is divided by 17 is:A. 1B. 2C. 8D. None of these
Answer» Correct Answer - A

Discussion

30.	The `(m + 1)^(th)` term of `(x/y+y/x)^(2m + 1 )` isA. independent of xB. a constantC. depends on the ratio `x//y` and mD. none of these
Answer» Correct Answer - A

Discussion

31.	Let `y = cosx (cosx - cos 3x)`. Then y isA. `ge 0` only when `x ge 0`B. `le 0`, for all real xC. `ge 0` for all real xD. `le 0` only when `x le 0`
Answer» Correct Answer - c

Discussion

32.	The number of solution of the equation `log(-2x)= 2 log(x+1)` areA. `3`B. `2`C. `1`D. `0`
Answer» Correct Answer - C The number of solutions ……………….. Given, `log(-2x)=2log(x+1)` `implies -2x = (x+1)^(2)` `implies x^(2)+4x+1=0` `implies x = (-4+-sqrt(16-4))/(2) implies x = (-4+-sqrt(12))/(2)` `implies x = (-2+sqrt(3)), (-2, -sqrt(3))` `x+1gt0 and -2 x gt 0` Hence `x = - 2 + sqrt(3)`

Discussion

33.	If `a, b, c` are in `G.P.` and `b-c, c-a, a-b` are in `H.P.` then find the value of `((a+b+c)^(2))/(b^(2))` .
Answer» Correct Answer - 9 If `a, b, c` are in …….. `a, b, c rarr G.P` `implies b^(2)=ac`. `b-c, c-a, a-b rarr H.P.` `implies (2)/(c-a)=(1)/(b-c)+(1)/(a-b)` `(2)/(c-a) = (a-c)/((b-c)xx(a-b))` `implies 2(ab-ac-b^(2)+bc)= - (a-c)^(2)` `2ab+2bc-2ac-2b^(2)= -a^(2)-c^(2)+2ac` `a^(2)+b^(2)+c^(2)+2ab+2bc+2ca=6ac+3b^(2)=9ac` `(a+b+c)^(2) = 9ac` `((a+b+c)^(2))/(b^(2))=9`

Discussion

34.	Msolution set of the inequality `sqrt(7-x)` > 2x-3 , is contained by the setA. `((11+sqrt(89))/(8),oo)`B. `(-oo,7)`C. `(-oo,(11+sqrt(89))/(8))`D. `(-oo3)`
Answer» Correct Answer - A

Discussion

35.	If `\|sin^2 x + 17 - x ^2\| = \|16 - x^2\| + 2sin^2 x + cos^2 x` then subsets of solution are
Answer» The sum of integral …………. `\|sin^(2)x+17-x^(2)\|=\|16-x^(2)\|+\|sin^(2)x+1\|` `\|x+y\|=\|x\|+\|y\|` `xy ge 0` `(16-x^(2))(1+sin^(2)x)ge0` `x epsilon [-4, 4]`

Discussion

36.	If `\|sin^2 x + 17 - x ^2\| = \|16 - x^2\| + 2sin^2 x + cos^2 x` then subsets of solution areA. `{0}`B. [-4,4]C. [-8,8]D. `[-sqrt(17),sqrt(17)]`
Answer» Correct Answer - A

Discussion

37.	Let `R = {(3, 3), (6, 6), (9, 9), (6, 12), (3, 9), (3, 12), (3, 6)}` is a relation on set `A = {3, 6, 9, 12}` then R is(a) reflexive (b) symmetric (c) transtive (d) none of theseA. TransitiveB. reflexive & transitiveC. symmetricD. reflexive
Answer» Correct Answer - A Let `R = {(3,3), (6,6), (9,9)` ……………. Obviously

Discussion

38.	If a,b,c are distinct positive numbers in H.P. then which of the relations must always hold good ?A. `b/c = (a-b)/(b-c)`B. `b^(2) gt ac`C. `b^(2) lt ac`D. `a/c = (a-b)/(b-c)`
Answer» Correct Answer - A

Discussion

39.	The equation `\|x + 2\| - \|x + 1\| + \|x -1\| =K,x in R` has two solutions if K is equal toA. 4B. `3//2`C. `5//2`D. 3
Answer» Correct Answer - A

Discussion

40.	If the sum of first 100 terms of an arithmetic progression is `- 1` and the sum of the even terms lying in first 100 terms is 1, then which of the following statement(s) is (are) correct ?A. Common difference of the arithmetic progression is `- 3/50`B. First term of the arithmetic progression is `149/50`C. `100^(th)` term of the arithmetic progression is `74/25`D. Sum of the an infinite geometric progression whose first term is `47/25` and common ratio is common difference of arithmetic sequence equals 2.
Answer» Correct Answer - A

Discussion

41.	`(4)/(9^((1)/(3))-3^((1)/(3))+1)` is equivalent to :A. `3^((1)/(3))-1`B. `3^((1)/(3))+1`C. `9^((1)/(3))+1`D. `9^((1)/(3))-1`
Answer» Correct Answer - B `(4)/(9^((1)/(3))-3^((1)/(3))+1) = (4(3^((1)/(3))+1))/((27)^((1)/(3))-9^((1)/(3))+3^((1)/(3))+9^((1)/(3))-3^((1)/(3))+1)` `= (4(3^((1)/(3))+1))/(4)= 3^((1)/(3))+1`

Discussion

42.	If a,b respectively be the number of solutions and sum of solutions of `\|(2x)/(x-1)\|-\|x\| = (x^(2))/(\|x-1\|)`, thenA. a=3B. b=1C. b=2D. a=2
Answer» Correct Answer - A

Discussion

43.	Two wires carrying currents I1 and I2 lie, one slightly above the other,in a horizontal plane as shown in figure. The region of vertically upward strongest magnetic field is :(a) I(b) II(c) III(d) IV
Answer» Option : (b) II

Discussion

44.	If the solution of the equation `(x^4-9) -(x^2 + 3)\| = [x^4 - 9\| - \|x^2 + 3\|` is `(-oo,p]uu[q,oo)` thenA. `p+q=0`B. `\|p\|+\|q\|=4`C. `\|q-p\|=4`D. `\|pq\|=4`
Answer» Correct Answer - A

Discussion

45.	Find the sum of the series`1+2(1-x)+3(1-x)(1-2x)++n(1-x)(1-2x)(1-3x)[1-(n-1)x]`.A. `S_(n) = -(1)/(x) [(1-x)(1-2x)"………"(1-nx)-1]`B. `S_(n) = -(1)/(x) [(1-x)(1-2x)"………"(1-6x)-1]`C. `S_(n) = (1)/(x) [(1-x)(1-2x)"………"(1-nx)-1]`D. `S_(n) = (1)/(x) [(1-x)(1-2x)"………"(1-nx)-1]`
Answer» Correct Answer - A::B::D

Discussion

46.	The value of x satisfying the equation `log_(2)(x^(2)-2x+5)=2` isA. `1`B. `0`C. `-1`D. `2`
Answer» Correct Answer - A The value of x satisfying ………………. `x^(2)-2x +5 = 2^(2)` `(x-1)^(2) = 0` `x = 1`

Discussion

47.	Which one of the following inequality holds good (A) `cos 12^@ lt tan 120^@ lt cosec 12^@ lt cot 12^@` (B) `cos 12^@ < tan 12^@ < cot 12^@ < cosec 12^@` (C) `tan 12^@ltcos 12^@ ltcosec 120 ^@ lt cot 12^@D)`A. `cos12^(º) lt tan 12^(º) lt cosec 12^(º) lt cot 12^(º)`B. `cos 12^(º) lt tan 12^(º) lt cot 12^(º) lt cosec 12^(º)`C. `tan12^(º) lt cos 12^(º) lt cosec 12^(º) lt cot 12^(º)`D. `tan 12^(º) lt cos 12^(º) lt cot 12^(º) lt cosec 12^(º)`
Answer» Correct Answer - A

Discussion

48.	If `x - lambda` is a factor of `x^(4)-lambda x^(3)+2x+6`. Then the value of `lambda` isA. `2`B. `-2`C. `-3`D. `3`
Answer» Correct Answer - C If `x - lambda` is a factor of ……………… Let `P(x) = x^(4)-lambdax^(3)+2x+6` `implies lambda^(4)-lambda^(4)+2lambda+6=0` `implies lambda = -3`

Discussion

49.	If `(a-2b-3c+4d)(a+2b+3c+4d) = (a+2b-3c-4d)(a-2b+3c-4d)` then `2ad =`A. `3bc`B. `bc`C. `5bc`D. `2bc`
Answer» Correct Answer - A If `(a-2b-3c+4d)` ……………. `(a+2b+3c+4d)/(a+2b-3c-4b) = (a- 2b+3c-4d)/(a-2b-3c+4d)` Using `C & D (a+2b)/(3c+4d) = (a-2b)/(3c - 4d)` Using `C & D` again `(a)/(2b) = (3c)/(4d)` `implies 2ad = 3bc`

Discussion

50.	If A and B are two given sets, then `Ann(AnnB)^(@)` is equal to :A. AB. BC. `phi`D. `AnnB^(@)`
Answer» Correct Answer - D If A and B are two ………….. `Ann(AnnB)^(@)=Ann(A^(@)uuB^(@))=(AnnA^(@))uu(AnnB^(@))=phiuu(AnnB^(@))=AnnB^(@)`

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In presence of a strong oxidising agent `As_(2)S_(3)` is oxidised to arsiante and sulphate. What is the n-factor of `As_(2)S_(3)`A. 4B. 18C. 28D. 24

For the reaction A + B → products the rate becomes doubled when concentration of only A is increased by two times, the rate is increased by four times, when the concentration B is alone is doubled what is the order of the reaction?

Match the following :

Dettol is an exmaple of:-A. AntisepticB. AntimalarialC. AntibioticD. Antifertility drug

B is:-A. TeryleneB. AcrilanC. Nylon-6,6D. Novolac

Compunds with `C_(4)H_(11)N` as molecular formula can exhibit:-A. Position isomersimB. MetamerismC. Functional isomerismD. All the three

The degree of hydrolysis of salt of weak acid and weak base in its 0.1M solution is found to be 5%. If the molarity of the solution of same salt is 0.5 M, then the percentage degree of hydrolysis of the salt should be :-A. 0.1B. 0.05C. `2.5%`D. None of these

Which of the following is most basic ?A. `Lu(OH)_(3)`B. `Yb(OH)_(3)`C. `Ce(OH)_(3)`D. `Tb(OH)_(3)`

From which of the following reaction anhydrous `MgCl_(2)` can be preparedA. `MgCl_(2).6H_(2)O +` current of dry HClB. Mg + dil HCl on heatingC. `MgCl_(2). 6H_(2)O` on heatingD. `MgSO_(4).7H_(2)O` on heating

10. Name the gas which forms complex carboxy haemoglobin.11. Which gas is liberated in Dumas Process?12. 13. Mention the catalyst in Friedel-craft's alkylation?

The correct statement regarding water pollution is:-A. Water pollution take place only on surfaceB. The source which are identified as water pollution are called non point sourceC. The source which not be identified as water pollution are non point sourceD. All of them

When copper is heated with conc. `HNO_(3)` it produces?A. `Cu(NO_(3))_(2)` and `NO_(2)`B. `Cu(NO_(3))_(2)` and NOC. `Cu(NO_(3))_(2),NO` and `NO_(2)`D. `Cu(NO_(3))_(2)` and `N_(2)O`

Which step is not feasible in the following loop ? A. step aB. step bC. step cD. step d

The type of isomerism exhibited `K_(3)[Co(NO_(2))_(6)]` and `K_(3)[Co(ONO)_(6)]`:-A. LinkageB. Co-ordinationC. IonisationD. Geometrical

How many type of isomerism is exhibited by the complex `[Co(NH_(3))_(4)(NO_(2))_(2)]Cl`?

the number of moles of hi consumed if 1 mole of anisole reacts with excess of hi

Among the following, the species in which the oxidation number of an element is +6

The possible number of stereoisomers of the product of following reaction would be : `Ph-CH=CH-undersetunderset(CH_3)(|)CH-CHOoverset(NH_2OH)to`A. 2B. 4C. 6D. 8

Number of optically inactive stereoisomers of the following molecule is . `CH_3-CH=CH-undersetunderset(OH)(|)CH-CH=CH-undersetunderset(OH)(|)CH-CH=CH-CH_3`

For the molecule, the number of all possible stereoisomers is : \[ CH _{3}- CH = CH - CH ( OH )- CH = CH - CH \] \[ = C \left( CH _{3}\right)_{2} \]

Give the correct order of decreasing acidity of the following compounds

\( 9 . \)Which of the following is absolute configuration of carbon \( 2 \& 3 \) respectively?(1) \( 2 R , 3 R \)(2) \( 2 S , 3 S \)(3) \( 2 R , 3 S \)(4) \( 2 S, 3 R \)

A gas is found to contains 2.34 gm of nitrogen and 5.34 gm of oxygen simplest formula of the compound is :-A. `N_(2)O`B. NOC. `N_(2)O_(3)`D. `NO_(2)`

Write the sum of the order and degree of thedifferential equation`((d^2y)/(dx^2))+((dy)/(dx))^3+x^4=0.`

Let `f: N -> R`be a function defined as `f(x)=4x^2+12 x+15.`Show that `f: N -> S,`where `S`is the range of `f`is invertible. Also find the inverse of `f`

The remainder when `2^(2003)` is divided by 17 is:A. 1B. 2C. 8D. None of these

The `(m + 1)^(th)` term of `(x/y+y/x)^(2m + 1 )` isA. independent of xB. a constantC. depends on the ratio `x//y` and mD. none of these

Let `y = cosx (cosx - cos 3x)`. Then y isA. `ge 0` only when `x ge 0`B. `le 0`, for all real xC. `ge 0` for all real xD. `le 0` only when `x le 0`

The number of solution of the equation `log(-2x)= 2 log(x+1)` areA. `3`B. `2`C. `1`D. `0`

If `a, b, c` are in `G.P.` and `b-c, c-a, a-b` are in `H.P.` then find the value of `((a+b+c)^(2))/(b^(2))` .

Msolution set of the inequality `sqrt(7-x)` > 2x-3 , is contained by the setA. `((11+sqrt(89))/(8),oo)`B. `(-oo,7)`C. `(-oo,(11+sqrt(89))/(8))`D. `(-oo3)`

If `|sin^2 x + 17 - x ^2| = |16 - x^2| + 2sin^2 x + cos^2 x` then subsets of solution are

If `|sin^2 x + 17 - x ^2| = |16 - x^2| + 2sin^2 x + cos^2 x` then subsets of solution areA. `{0}`B. [-4,4]C. [-8,8]D. `[-sqrt(17),sqrt(17)]`

Let `R = {(3, 3), (6, 6), (9, 9), (6, 12), (3, 9), (3, 12), (3, 6)}` is a relation on set `A = {3, 6, 9, 12}` then R is(a) reflexive (b) symmetric (c) transtive (d) none of theseA. TransitiveB. reflexive & transitiveC. symmetricD. reflexive

If a,b,c are distinct positive numbers in H.P. then which of the relations must always hold good ?A. `b/c = (a-b)/(b-c)`B. `b^(2) gt ac`C. `b^(2) lt ac`D. `a/c = (a-b)/(b-c)`

The equation `|x + 2| - |x + 1| + |x -1| =K,x in R` has two solutions if K is equal toA. 4B. `3//2`C. `5//2`D. 3

`(4)/(9^((1)/(3))-3^((1)/(3))+1)` is equivalent to :A. `3^((1)/(3))-1`B. `3^((1)/(3))+1`C. `9^((1)/(3))+1`D. `9^((1)/(3))-1`

If a,b respectively be the number of solutions and sum of solutions of `|(2x)/(x-1)|-|x| = (x^(2))/(|x-1|)`, thenA. a=3B. b=1C. b=2D. a=2

Two wires carrying currents I1 and I2 lie, one slightly above the other,in a horizontal plane as shown in figure. The region of vertically upward strongest magnetic field is :(a) I(b) II(c) III(d) IV

If the solution of the equation `(x^4-9) -(x^2 + 3)| = [x^4 - 9| - |x^2 + 3|` is `(-oo,p]uu[q,oo)` thenA. `p+q=0`B. `|p|+|q|=4`C. `|q-p|=4`D. `|pq|=4`

Find the sum of the series`1+2(1-x)+3(1-x)(1-2x)++n(1-x)(1-2x)(1-3x)[1-(n-1)x]`.A. `S_(n) = -(1)/(x) [(1-x)(1-2x)"………"(1-nx)-1]`B. `S_(n) = -(1)/(x) [(1-x)(1-2x)"………"(1-6x)-1]`C. `S_(n) = (1)/(x) [(1-x)(1-2x)"………"(1-nx)-1]`D. `S_(n) = (1)/(x) [(1-x)(1-2x)"………"(1-nx)-1]`

The value of x satisfying the equation `log_(2)(x^(2)-2x+5)=2` isA. `1`B. `0`C. `-1`D. `2`

If `x - lambda` is a factor of `x^(4)-lambda x^(3)+2x+6`. Then the value of `lambda` isA. `2`B. `-2`C. `-3`D. `3`

If `(a-2b-3c+4d)(a+2b+3c+4d) = (a+2b-3c-4d)(a-2b+3c-4d)` then `2ad =`A. `3bc`B. `bc`C. `5bc`D. `2bc`

If A and B are two given sets, then `Ann(AnnB)^(@)` is equal to :A. AB. BC. `phi`D. `AnnB^(@)`