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98751.

In a simultaneous throw of a pair of dice, find the probability of getting a sum, which is a perfect square.

Answer»

The experiment is throw a pair of dice.

Therefore, the sample space is

\(S=\begin{Bmatrix}(1,1), (1, 2),{(1,3)},(1,4),(1,5),(1,6)\\(2,1),{(2,2)},(2,3),(2,4),(2,5),(2,6)\\{(3,1)}, (3,2),(3,3),(3,4),(3,5),(3,6)\\(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)\\(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)\\(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\end{Bmatrix}\)

Total possible outcomes = n(S) = 6 \(\times\) 6 = 36.

Let E = Event of getting the sum as a perfect square.

Therefore, E = {(1, 3), (2, 2), (3, 1), (3, 6), (4, 5), (5, 4), (6, 3)}

Number of favorable outcomes to event E = n(E) = 7

Thus, probability of getting the sum as a perfect square is 

p(E) = \(\frac{n(E)}{n(S)}=\frac{7}{36}\)

98752.

State with reasons, whether the Operating Ratio of a company will increase, decrease or not change due to the following transactions: (a) Paid Wages Rs. 1,000, (b) Issued Rs. 1,00,000, 12% Debentures, (c ) Sold Goods on Credit Rs. 15,000, (d) Paid Rs. 5,000 Commission on Sales and (e) Paid Rs. 4,000 for Advertisement.

Answer» (a) Increase, (b) No change, (c ) Decrease, (d) Increase and (e) Increase.
98753.

Quick Ratio of a company is 1 : 1. State giving reasons (for any four), which of the following would improve, reduce or not change the ratio? (i) Purchase of machinery for cash (ii) Purchase of goods on credit (iii) Sale of furniture at cost (iv) Sale of goods at a profit (v) Redemption of debentures at a premium

Answer» (i) Purchase of machinery for cash will reduce the total of Quick, Assets but total current liabilities will remain unchanged. Therefore, Quick Ratio will reduce.
(ii) Purchase of goods on credit will increase total of current liabilities but total Quick Assets will remain unchanged. Therefore, Quick Ratio will reduce.
(iii) Sale of furniture at cost will increase the total of Quick Assets. Therefore, Quick Ratio will improve.
(iv) Sale of goods at profit will increase the total of Quick Assets. Therefore, Quick Ratio will improve.
(v) Quick Ratio will not change since Quick Assets and Current Liabilities (because as per Schedule III redeemable debentures are Current Liabilities) both will reduce with the amount paid.
98754.

A bob of mass `m` is attached at one end of a string of length `l` other end of the string is fixed at point `O`. Bob is rotating in a circular path of radius `l` in horizontal plane about `O` with constant speed `v`, as shown in the figure. The average force exterted by string on the bob during its `:-` `(A)` half revolution will be `(mv^(2))/(pil)` `(B)` half revolution will be `(2mv^(2))/(pil)` `(C)` one fourth revolution will be `(sqrt2mv^(2))/(pil)` `(D)` one revolution will be zero Select correct alternative `:-`A. Only (A) and (D)B. Only (A), (C) and (D)C. Only (B) and (D)D. Only (B), (C) and (D)

Answer» Correct Answer - A
98755.

A car is moving on circular path of radius `100m` such that its speed is increasing at the rate of `5m//s^(2)`. At `t=0` it starts from rest. What is the radial acceleration of car at the instant it makes one complete round trip ?A. `20pi ms^(-2)`B. `10pi ms^(-2)`C. `5 ms^(-2)`D. None of these

Answer» Correct Answer - A
98756.

A point mass moves along a circle of radius `R` with a constant angular acceleration `alpha`. How much time is needed after motion begins for the radial acceleration of the point mass to be equal to its tangential acceleration ?A. `sqrt((1)/(alpha))`B. `sqrt((R)/(alpha))`C. `sqrt((2)/(alpha))`D. `sqrt((1)/(2alpha))`

Answer» Correct Answer - A
98757.

A car is moving along a circular track with tangential acceleration of magnitude `a_(0)`. It just start to slip at speed `v_(0)` then find radius of circle (Coeffecient of friction is `mu`) ?A. `(V_(0)^(2))/(sqrt((mug)^(2)+a_(0)^(2)))`B. `(V_(0)^(2))/(sqrt((mug)^(2)-a_(0)^(2)))`C. `(V_(0)^(2))/(sqrt((mug)^(2)-2a_(0)^(2)))`D. `(V_(0)^(2))/(sqrt((mug)^(2)+2a_(0)^(2)))`

Answer» Correct Answer - A
98758.

When `1L` of `0.1 M` sulphuric acid solution is allowed to react with `1 L` of `0.1 M` sodium hydroxide then the molarity of sodium sulphate formed is `(H_(2)SO_(4) + 2NaOH rarr Na_(2)SO_(4) + 2H_(2)O)`:A. `0.1 M`B. `0.05 M`C. `0.025 M`D. `0.2 M`

Answer» Correct Answer - C
`NaOH` is `LR`
`H_(2)SO_(4) + 2NaOH rarr Na_(2)SO_(4) + 2H_(2)O`
`[Na_(2)SO_(4)] = (0.05)/(2) = 0.025 M`
98759.

Consider a sphere of radius R exposed to radition of instensity I as shown in figure . If surface of sphere is partially reflection and reflection coefficient is 0.3, then radiation force experienced is : A. `(pi R^(2)I)/(c)`B. `(1.7pi R^(2)I)/(c)`C. `(0.3pi R^(2)I)/(c)`D. None of these

Answer» Correct Answer - 4
`F=dp`
`(1)/(c) = n(h)/(lambda)`
effective area `= pi R^(2)`
`F= 1.3 pi R^(2)(I)/(c)`
98760.

Let x be a real-valued random variable with E[X] and E[X2] denoting the mean values of X and X2, respectively. The relation which always holds true is(A) (E[X])2 > E[X2](B) E[X2] ≥ (E[X])2(C) E[X2] = (E[X])2(D) E[X2] > (E[X])2

Answer»

Correct option (B) E[X2] ≥ (E[X])2   

Explanation:

V(x) = E(x2) - {E(x)}2 ≥ 0 i.e., variance cannot be negative

∴ E(x2) ≥ {E(x)}2

98761.

A ring of radius `R` is first rotated with an angular velocity `omega` and then carefully placed on a rough horizontal surface. The coefficient of friction between the surface and the ring is `mu`. Time after which its angular speed is reduced to half isA. `(omega_(0)muR)/(2g)`B. `(2omega_(0)R)/(mug)`C. `(omega_(0)R)/(2mug)`D. `(omega_(0)g)/(2mug)`

Answer» Correct Answer - 3
`alpha= (tau)/(I) = (mug)/(R)`
`omega_(t) =(omega_(0))/(2) = omega_(0) - alphat`
So`t=(omega_(0)R)/(2 mug)`
98762.

Consider slabs of three media A,B, and C. Arragned as shown inn figure . R.I of A is 1.5 and that of C is 1.4. If the number of waves in the combination B and C then refractive index of B is A. 1.4B. 1.5C. 1.6D. 1.7

Answer» Correct Answer - 4
`n_(A) = n_(B) + n_(c)`
`mu_(A)d_(A) =mu_(B)d_(B) + mu_(C)d_(C)`
`1.5 (3x)= mu_(B)(x) + 1.4(2x)`
`4.5= mu+ 2.8`
`mu_(B) = 4.5 - 2.8 = 1.7`
98763.

Transport systems ______ likely to change in the future. One probable difference is that there ______ more electric vehicles. A) is / will be B) are / will be C) will / are D) will / would be

Answer»

Correct option is B) are / will be

98764.

We finally managed to ______ the committee’s approval of our plans. A) secure B) arouse C) acquire D) exert E) execute

Answer»

Correct option is A) secure

98765.

It is highly probable that more and more solar energy ______ in the future. A) will be used B) be used C) to be used D) will be using

Answer»

Correct option is A) will be used

98766.

The plan was ________ when it was discovered just how much the scheme would cost. A) resigned B) abandoned C) surrendered D) released E) disused

Answer»

Correct option is B) abandoned

98767.

He ___ know her address. Ask him. A) need B) must C) could D) might E) have to

Answer»

Correct option is B) must

98768.

He never _____ by plane. A) travels B) to travel C) traveling D) travel

Answer»

Correct option is A) travels

98769.

Little ____ she realize that the evening was ____ out very differently. A) did / turning B) will / to turn C) does / to have turned D) did / to turn

Answer»

Correct option is D) did / to turn

98770.

The noise of the traffic ________ Paul from his work. A) prevented B) annoyed C) obstructed D) upset E) distracted

Answer»

Correct option is E) distracted

98771.

Will you _____ off the photocopier? A) to turn B) turning C) turned D) turn

Answer»

Correct option is D) turn

98772.

She is going ______ shopping tomorrow. A) go B) will go C) to go D) goes

Answer»

Correct option is C) to go

98773.

__ I trouble you for a moment? - Yes, certainly. What ___ I do for you? A) can / might B) may / can C) must / may D) could / may E) can / must

Answer»

Correct option is B) may / can

98774.

Many university courses are not really ________ to the needs of students or their future employers. A) associated B) relative C) geared D) sufficient E) qualified

Answer»

Correct option is C) geared

98775.

Would she like _____ to the moon? A) going B) go C) to go D) goes

Answer»

Correct option is C) to go

98776.

A person who goes to the moon or into outer space is called ______

Answer»

Correct option is an astronaut

98777.

Certainly man must ________ the future, and find ways of providing for his needs. A) look to B) look up C) look after D) look for E) look on

Answer»

Correct option is A) look to

98778.

The red liquid in your body is called ______

Answer»

Correct option is blood

98779.

A man who isn’t married is a ______

Answer»

Correct option is bachelor

98780.

The child was ________ for getting his shoes and socks wet. A) corrected B) remonstrated C) suffered D) scoldedE) complained

Answer»

Correct option is D) scolded

98781.

Another word meaning “luggage” is ______

Answer»

Correct option is baggage

98782.

Someone without socks or shoes on is ______

Answer»

Correct option is barefoot

98783.

Someone whose job is to cut hair is called a ______

Answer»

Correct option is barber

98784.

Choose the word from the options given to form a compound word with “ring”. (a) ear (b) life (c) noise (d) loose

Answer»

Correct answer is (a) ear

98785.

Choose the word from the options given to form a compound word with “cut”. (a) write (b) right (c) hair (d) in

Answer»

Correct answer is (c) hair

98786.

Choose the word from the options given to form a compound word with “glass”. (a) top (b) style (c) sock (d) life

Answer»

Correct answer is (a) top

98787.

Choose the word from the options given to form a compound word with “up”. (a) living (b) doing (c) movie (d) coming

Answer»

Correct answer is (d) coming

98788.

Choose the word from the options given to form a compound word with “mate”. (a) broom (b) moor (c) room (d) mart

Answer»

Correct answer is (c) room

98789.

In protein synthesis process maximum ambiguousy of genetic code is present when genetic code is :-

Answer»

One codon codes for only one amino acid, hence a genetic code is unambiguous and specific. Only GUG is ambiguous codon, it normally codes for valine but at initiating position as well as codes for methionine.

98790.

What will happen if heat is applied to an enzyme mediated reaction?(a) Rate will increase(b) pH will increase(c) pH will decrease(d) Denaturation of enzyme

Answer» The correct choice is (a) Rate will increase

The explanation is: The rate of an enzymatic reaction will increase with temperature but only upto a certain limit. Too much heat energy causes the enzyme to denature. This rate varies among different enzymes.
98791.

Chymotrypsin is a ___________(a) starch(b) polymer(c) buffer(d) enzyme

Answer» Right answer is (d) enzyme

For explanation: Chymotrypsin is an enzyme that digests food proteins within the small intestine. The active site of this enzyme contains partial positive and partial negative charges.
98792.

Competitive enzyme inhibitors are  ________(a) Reversible inhibitors(b) Irreversible inhibitors(c) Permanent inhibitors(d) None of the mentioned

Answer» Right choice is (a) Reversible inhibitors

To elaborate: Irreversible inhibitors are those that bind very tightly to an enzyme, often by forming a covalent bond to one of its amino acid residues. Reversible inhibitors bind loosely to an enzyme and thus are readily displaced. Competitive inhibitors are reversible inhibitors of enzyme that compete with a substrate for access to the active site of the enzyme.
98793.

For production of eukaryotic protein by recombinant DNA technology in bacteria, the template used is (A) Eukaryotic gene (B) hnRNA (C) mRNA (D) All of these

Answer»

Correct option (C) mRNA

98794.

An example of feedback inhibition is …………(a) Cyanide action on cytochrome (b) Sulpha drug on folic acid synthesiser bacteria (c) Allosteric inhibition of hexokinase by glucose-6- phosphate (d) The inhibition of succinic dehydrogenase by malonate

Answer»

(c) Allosteric inhibition of hexokinase by glucose-6- phosphate

98795.

Synapsis occur between (a) mRNA and ribosomes (b) Spindle fibres and centromeres (c) Two homologous chromosomes (d) A male and a female gamete

Answer»

(c) Two homologous chromosomes

98796.

Plants growing on the water surface are called as ………… type of aquatic plants. (a) Emergent (b) Submerged (c) Free floating (d) Mangroves

Answer»

(c) Free floating

98797.

What are the difficulties that you would face in classification of animals, if common fundamental features are not taken into account?

Answer»

For the classification of living organisms, common fundamental characteristics are considered.
If we consider specific characteristics, then each organism will be placed in a separate group and the entire objective of classification would not be achieved.
Classification of animals is also important in comparing different organisms and judging their individual evolutionary significance. If only a single characteristic is considered, then this objective would not be achieved.

98798.

Sago is obtained from ………(a) Cycas revoluta (b) Pinus roxburghil (c) Pinus insularis (d) Cedrus deodara

Answer»

(a) Cycas revoluta

98799.

SGOT levels in an adult is

Answer»
  • The normal range of values for AST (SGOT) is about 5 to 40 units per liter of serum (the liquid part of the blood). 
  • The normal range of values for ALT (SGPT) is about 7 to 56 units per liter of serum.
98800.

renal and urinary tract function

Answer»
  • The urinary system, also known as the renal system, produces, stores and eliminates urine, the fluid waste excreted by the kidneys. 
  • The kidneys make urine by filtering wastes and extra water from blood. 
  • Urine travels from the kidneys through two thin tubes called ureters and fills the bladder.