This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 5651. |
Let I1 and l2 be the moments of inertia of two bodies of identical geometrical shape, the first made of aluminium and the second of iron.(a) I1 <l2(b) l1=l2(c) l1> l2(d) relation between I1 and l2 depends on the actual shapes of the bodies. |
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Answer» (a) I1 < I2 . Explanation: Aluminum has a lower density than iron hence the first body has lesser mass than the second. And if the shapes of the bodies are same the M.I. is directly proportional to the mass. So the first body will have lower M.I. than the second body. |
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| 5652. |
A uniform solid cylinder of mass 5kg and radius 0.1m is resting on a horizontal platform (parallel to the x-y plane) and is free to rotate about its axis along the y-axis the platform is given a motion in the x direction given by x=0.2 cos (10t) m if there is no slipping then maximum torque acting on the cylinder during its motion isA. `0.2 N-m`B. `2.0 N-m`C. `5.0N-m`D. `10.0N-m` |
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Answer» Correct Answer - C `Ialpha = ((MR^(2))/2)xx(a/R)` `a=(d^(2)x)/dt^(2)= -0.2xx 100cos(10t)=-20cos(10t)` `alpha=a/R=-200cos(10t)` `=-(5xx(0.1)^(2))/2 xx200cos(10t)=-5/2xx2xxcos(10t)=-5cos(10t)` `t_(max)=5Nxxm` |
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| 5653. |
Waves `y_(1) = Acos(0.5pix - 100pit)` and `y_(2)=Acos(0.46pix - 92pit)` are travelling along x-axis. (Here `x` is in `m` and `t` is in second) (1) Find the number of times intensity is maximum in time interval of `1 sec`.A. 4B. 6C. 8D. 10 |
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Answer» Correct Answer - A Number of maxima in `1 s` is called the beat frequency. Hence, `f_(b) = f_(1) -f_(2)` =`(100 pi)/(2 pi) -(92 pi)/(2 pi) = 4 Hz`. |
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| 5654. |
Waves `y_(1) = Acos(0.5pix - 100pit)` and `y_(2)=Acos(0.46pix - 92pit)` are travelling along x-axis. (Here `x` is in `m` and `t` is in second) (2) The wave velocity of louder sound isA. 100 m//sB. 192 m//sC. 200 m//sD. 96 m//s |
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Answer» Correct Answer - C Speed of wave, `v = (omega)/(k)` `v = (100 pi)/(0.5 pi)` or `(92 pi)/(0.46 pi) = 200 m//s`. |
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| 5655. |
In a parallelogram ABCD, P is the midpoint of AD. Also, BP and AC intersect at Q. Then AQ : QC =1. 1 : 32. 3 : 13. 2 : 14. 1 : 2 |
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Answer» Correct Answer - Option 4 : 1 : 2 Concept: If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
Calculations: Given, In a parallelogram ABCD, P is the midpoint of AD. Also, BP and AC intersect at Q. Join AC and BP. ⇒ \(\angle\)AQP= CQB and \(\angle\)APQ= \(\angle\)CBQ If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent ⇒ \(\rm\triangle APQ ∼ \triangle CBQ\) ⇒ \(\rm \dfrac {AP}{BC}= \rm \dfrac{AQ}{QC}\) ⇒ AD = BC ⇒ \(\rm \dfrac {AP}{BC}= \rm \dfrac{AP}{AD} = \dfrac 1 2\) ⇒ \(\rm\rm \dfrac{AQ}{QC} = \dfrac 12\) Hence, In a parallelogram ABCD, P is the midpoint of AD. Also, BP and AC intersect at Q. Then AQ : QC = 1 : 2 |
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| 5656. |
Akbar founded the Din-i-Ilahi primarily to (a) Establish a national religion which would be acceptable to the Muslims and the Hindus (b) Ensure racial and communal harmony (c) Found a religious institution (d) Put an end to differences between Hindus and Muslims |
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Answer» (a) Establish a national religion which would be acceptable to the Muslims and the Hindus |
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| 5657. |
Number of real solution of the equation sin (ex) = 5x + 5-x is |
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Answer» Correct Answer - Option 1 : 0 Concept: -1 ≤ sin x ≤ 1
AM, GM, HM Formulas If A is the arithmetic mean of numbers a and b and is given by ⇔ \({\rm{A}} = \frac{{{\rm{a\;}} + {\rm{\;b}}}}{2}\) If G is the geometric mean of the numbers a and b and is given by ⇔ \({\rm{G}} = \sqrt {{\rm{ab}}} \) If H is the Harmonic mean of numbers a and b and is given by ⇔ \({\rm{H}} = \frac{{2{\rm{ab}}}}{{{\rm{a}} + {\rm{b}}}}\) Relation between AM, GM and HM
Calculations: Given, the equation is sin (ex) = 5x + 5-x Consider, LHS = sin (ex) < 1 As we know AM ≥ GM \(\rm \Rightarrow \frac{5^x + 5^{-x}}{2} \geq (5^x \times 5^{-x})^{1/2}\) ∴ 5x + 5-x ≥ 2 RHS = 5x + 5-x ≥ 2 Here, LHS \(\neq\) RHS ⇒The equations sin (ex) = 5x + 5-x have no solution. This means that no matter what value is plugged in for the variable, you will ALWAYS get a contradiction. Hence, Number of real solution of the equation sin (ex) = 5x + 5-x is zero. |
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| 5658. |
In Mansabdari system the Commander-in-Chief of the Army was (a) Mansabdar (b) Emperor (c) Prince (d) Dah Hazari |
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Answer» In Mansabdari system the Commander-in-Chief of the Army was Emperor. |
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| 5659. |
The East India Company was founded in India during the reign of (a) Shah Jahan (b) Jahangir (c) Akbar (d) Aurangzeb |
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Answer» The East India Company was founded in India during the reign of Akbar. |
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| 5660. |
Let `agt0, bgt0, cgt0` and `a+b+c=6` then `((ab+1)^(2))/(b^(2))+((bc+1)^(2))/(c^(2))+((ca+1)^(2))/(a^(2))` may beA. `75/4`B. `35`C. `15`D. `10` |
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Answer» Correct Answer - A::B A.M. `ge` H.M for `1/a, 1/b, 1/c` we get `(1/a+1/b+1/c)/3 ge 3/6` `implies 1/a+1/b+1/c ge 3/2` Now, `((a+1/b)^(2)+(b+1/c)^(2)+(c+1/a)^(2))/3 ge ((a+1/b+b+1/c+c+1/a)/3)^(2) ge ((6+3/2)/3)^(2)` `(a+1/b)^(2)+(b+1/c)^(2)+(c+1/a)^(2) ge 75/4` |
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| 5661. |
Mansabdari System was founded by Akbar. The Mansabdars were(a) military commanders (b) provincial governors (c) high civil and military officers (d) all of the above |
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Answer» (d) all of the above |
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| 5662. |
The Mansabdari system introduced by Akbar was borrowed from the system prevalent in (a) Persia (b) Mongolia (c) Afghanistan (d) Turkey |
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Answer» The Mansabdari system introduced by Akbar was borrowed from the system prevalent in Mongolia. |
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| 5663. |
Under the Mughals the Commander-in-Chief of the Army was (a) The crown prince (b) Mansabdar (c) Emperor (d) Zamindar |
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Answer» Under the Mughals the Commander-in-Chief of the Army was Emperor. |
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| 5664. |
Under the Mughals ____ was administered as a department of the household. (a) infantry (b) cavalry (c) artillery (d) navy |
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Answer» Under the Mughals artillery was administered as a department of the household. |
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| 5665. |
The troops provided by the Mansabdars was chiefly (a) cavalry (b) infantry (c) artillery (d) navy |
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Answer» The troops provided by the Mansabdars was chiefly artillery. |
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| 5666. |
Which Rajput dynasty had not surrendered to Akbar? (a) Pratihara (b) Sisodiya (c) Rathor (d) Parmar |
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Answer» Sisodiya Rajput dynasty had not surrendered to Akbar. |
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| 5667. |
The Mughal troops were largely drawn from (a) The Rajput Chiefs (b) Tributary Chiefs (c) Mansabdars (d) Central Contingents |
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Answer» (c) Mansabdars |
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| 5668. |
On the wall of which building built by Shah Jahan, is the following Persian couplet inscribed "if there is paradise on earth, it is this, it is this, it is this"? (a) Jasmine Palace (b) Moti Masjid (c) Diwan-i-Aam, Delhi (d) Diwan-i-Khas, Delhi |
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Answer» (d) Diwan-i-Khas, Delhi |
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| 5669. |
Shah Jahan was kept in prison by Aurangzeb at (a) Ajmer (b) Agra (c) Delhi (d) Daulatabad |
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Answer» Shah Jahan was kept in prison by Aurangzeb at Agra. |
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| 5670. |
Bibi Ka Maqbara was erected by _____ at Aurangabad and is a replica of the Taj Mahal. (a) Jahangir (b) Bahadur Shah Zafar (c) Aurangzeb (d) None of the above |
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Answer» (c) Aurangzeb |
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| 5671. |
In the Battle of Haldighati the Mughal troops were commanded by (a) Asaf khan (b) Raja Man Singh of Amber (c) Qazi Khan (d) Todar Mal |
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Answer» In the Battle of Haldighati the Mughal troops were commanded by Raja Man Singh of Amber. |
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| 5672. |
Of the following which was not built by Shah Jahan? (a) Moti Masjid (b) Jami Masjid(c) Taj Mahal (d) Fatehpur Sikri |
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Answer» (d) Fatehpur Sikri |
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| 5673. |
The title of Mahakavi Rai was given by Shah Jahan to (a) Todar Mal (b) Birbal (c) Jagannath (d) Tansen |
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Answer» The title of Mahakavi Rai was given by Shah Jahan to Jagannath. |
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| 5674. |
The garden is located in a radius of 300 Km from Delhi. It was created in the 17th century by architect Nawab Fidai Khan during the early reign of his foster brother Aurangzeb. Now it has been named after one of the rulers of the former princely state of Patiala. How is the garden known as now? |
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Answer» PINJORE (YADAVINDRA GARDENS) |
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| 5675. |
Someone whose job is to design buildings is ______. A) teacher B) architect C) singer D) mailman |
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Answer» Correct option is B) architect |
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| 5676. |
In 1931, Kasturbhai, Narottambhai and Chimanbhai incorporated a venture during the swadeshi movement with an objective to indigenously produce fine and superfine cotton fabrics for the Indian markets. What did they establish? |
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Answer» Arvind Mills |
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| 5677. |
Which Sikh Guru compiled the Granth Sahib? |
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Answer» Guru Arjan Dev-the 5th guru |
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| 5678. |
The construction of Taj Mahal was directed by (a) Ustad Isa (b) Asaf Khan (c) Dara (d) Aurangzeb |
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Answer» The construction of Taj Mahal was directed by Ustad Isa. |
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| 5679. |
Isa Khan Effendi, a world famous architect from Egypt is credited with the design of a famous structure, which one? |
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Answer» The Taj Mahal |
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| 5680. |
which one of the following isa case of wrong matching?A. somatic hybridisation fusion of two diverse cellsB. vector DNA site for RNA sythesisC. Micropropagation -In vitro production of plants in large numbersD. callus unorgainised mass of cells produced in tissue culture |
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Answer» Correct Answer - B out of the following the statement is wrong because a vector is a DNA molecule used as a vehicle to transfer foreign genetic material in to desried cell The RNA is synthsised in the nucleus on a DNA tempelate only 0.25% o ftotal DNA content ocdes for RNA. |
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| 5681. |
In `DeltaABC`, if `m_(a),m_(b),m_(c)` denote the lengths of the medians drawn to the sides a, b, c respectively and `Delta` is the area of the `DeltaABC` with `a=10, c=6" and "m_(b)=7`thenA. `b=sqrt(76)`B. `Delta=15sqrt(3)`C. `m_(a)=sqrt(76)`D. `m_(c)=sqrt(31)` |
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Answer» Correct Answer - A `m_(b)=(1)/(2)sqrt(2a^(2)+2c^(2)-b^(2))` `b^(2)=76impliesb=sqrt(76)=2sqrt(19),s=(a+b+c)/(2)=8+sqrt(19)` `Delta=sqrt(s(s-a)(s-b)(s-c))=15sqrt(3)` `m_(a)=(1)/(2)sqrt(2b^(2)+2c^(2)-a^(2))=sqrt(31)` `m_(c)=(1)/(2)sqrt(2a^(2)+2b^(2)-c^(2))=sqrt(79).`Ans. |
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| 5682. |
One mole of `N_(2)` and `3.0` moles of `PCl_(5)` were placedin a 100-liter vessel and heated to `227^(@)C`. The equilibrium pressure was `2.05" atm. "`Assuming ideal behaviour, calculate X. Where `X=1000xxK_(P)` of the reaction at `227^(@)C.` |
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Answer» Correct Answer - [0205] `{:("The reaction is",,"PCl"_(5)hArr"PCl"_(3)+"Cl"_(2)),(,,(g)" "(g)" "(g)),("Initial concn.",,3"moles"" "0" "0):}` Concen. At equilibrium `" "(3-3alpha)" "3alpha" "3alpha` where `alpha` is degree of dissociation of `PCl_(5).` Total moles of gases in the vessel `{:(=n=N_(2)(1" mole")+PCl_(5)(3-3alpha)+PCl_(3)(3alpha)+Cl_(2)(3alpha)),(" moles"" moles"" moles"):}` Or `n=4+3alpha` Using the ideal gas equation `n=(PV)/(RT)=(2.05xx100)/(0.082xx500K)=5.0" moles "` Or `4+3alpha=5" or "3alpha=1" or "alpha=1//3=0.333 ("degree of dissociation of" PCl_(5))` Partial pressure of `PCl_(5)=(2)/(5)xx2.05=0.82" atm."` Partial pressure of `PCl_(3)=(1)/(5)xx2.05=0.41" atm. "` Partial pressure of `Cl_(2)=(1)/(5)xx2.05=0.41` `K_(P)=((0.41" atm")^(2))/((0.82" atm"))=0.205" atm."` `X=0.205xx1000=205` |
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| 5683. |
A dishonest shopkeeper sells sugar at Cost price but uses 600 gms in place of 1 kg weight. What is his actual gain percentage?1. 66.67%2. 33.34%3. 25%4. 54%5. 25.67% |
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Answer» Correct Answer - Option 1 : 66.67% Given: A dishonest shopkeeper sells sugar at Cost price but uses 600 gm in place of 1 kg weight. Formula used: Profit or Gain % = {(Selling price – Cost price)/Cost price} × 100 Calculation: Let be 1 gram = 1 rupees The cost price of sugar for shopkeeper = Rs. 600 The selling price of sugar for shopkeeper = Rs. 1000 ⇒ Profit or Gain% = {(1000 – 600)/600} × 100 ⇒ (400/600) × 100 ⇒ 66.67% ∴ The actual gain percentage of shopkeeper is 66.67%. |
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| 5684. |
The C60 molecule has(a) 14 pentagons and 18 hexa gons(b) 12 pentagons and 20 hexa gons(c) 10 pentagons and 20 hexa gons(d) 12 pentagons and 18 hexa gons |
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Answer» The C60 molecule has 10 pentagons and 20 hexa gons |
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| 5685. |
Why do Zr and Hf exhibit similar properties ? |
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Answer» Due to lanthanide contraction. |
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| 5686. |
Science and practice of fruit culture isA. SpermologyB. PomologyC. AnthologyD. Dendrology |
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Answer» Correct Answer - B Science and practice of fruit culture is pomology. |
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| 5687. |
Anthesis is a phenomenon which refers to:A. Opening of floral budB. Development of anthersC. Mutaration of anthersD. Reception of pollen by stigma |
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Answer» Correct Answer - A Anthesis is opening of floral bud. |
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| 5688. |
What is effect of increasing pH on K2Cr2O7 solution ? |
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Answer» It changes into K2CrO4 solution/orange colour change into yellow colour. |
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| 5689. |
Ore of chromium is(a) FeCr2 O4(b) K2Cr2O4 (c) PbCrO4 (d) None |
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Answer» Ore of chromium is FeCr2 O4 |
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| 5690. |
What is the effect of pH on the solution of K2Cr2O4 solution ? |
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Answer» K2Cr2O4 solution changes into K2Cr2O7/yellow colour changes into orange colour. |
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| 5691. |
Why Zn, Cd, Hg are soft and have low melting point ? |
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Answer» Due to weak interatomic attraction/absence of unpaired electrons. |
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| 5692. |
Write electronic conflguration of Cu+2 and Co+2. |
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Answer» Cu+2 = [Ar] 3d9 4s0 |
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| 5693. |
Balance the following equations :(a) MnO4- + Fe2+ + H+ →(b) Cr2O7 2-+ Sn2+ + H+ → |
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Answer» (a) MnO4 - + Fe2+ + H+ → Mn+2 + Fe+3 |
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| 5694. |
Briefly explain why electronic conflguration of lanthanoids are not known with certainty ? |
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Answer» 4f/5d subshells are very close in energy. +ve electrons can jump from 4f to 5d or vice-versa. |
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| 5695. |
What is the composition of Permutit (Zeolite) ? How does it works in softening of hard water? |
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Answer» Hydrated sodium aluminium silicate / Sodium aluminium silicate. It exchanges Mg2+ and Ca2+ ions for its Na+ hence soften the hard water. |
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| 5696. |
A curve describing the equilibrium relationship of sorbed water and vapor pressure (or relative humidity) at a given temperature is a. Isotherm b. Parabola c. Both a. and b. d. None of All |
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Answer» a. Isotherm. |
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| 5697. |
An insect's mechanoreceptors would NOT be sensitive to: a. Body movement b. Sound vibrations c. Wind speed d. Water vapor |
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Answer» An insect's mechanoreceptors would NOT be sensitive to Water vapor. |
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| 5698. |
Who discovered DNA fingerprinting ?(1) Alec Jeffery (2) Jacob Monad (3) Herbert Boyer (4) Stanley Cohen |
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Answer» Correct option: (1) Alec Jeffery |
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| 5699. |
Mechanoreceptors gives response a. Light b. Humidity c. Body movements d. Pressure |
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Answer» c. Body movements |
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| 5700. |
Pro-preoreceptros give response a. Light b. Humidity c. Body movement d. Pressure |
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Answer» Pro-preoreceptros give response Pressure. |
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