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InterviewSolution
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.
| 1. |
The bisector of an exterior angle at the vertex of an isosceles triangle isparallel to its base. State and prove its converse. |
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| 2. |
( x - 5 ) ( x - 6 ) = \frac 25 ( 24 ) ^ 2 |
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| 3. |
Write any two rational numbers which are between 2.3 and 2.4. |
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| 4. |
3. State exterior angle property of a triangle |
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Answer» Anexterior angleof atriangleis equal to the sum of the opposite interiorangles.theexterior anglesalways add to 360° In fact, this is true for any convex polygon, not justtriangles |
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| 5. |
Mathematics for Class 7and name2. Given below are pairs of congruentriangles. State the property of congruencethe congruent triangles in each case.Q.50 50В 70.60 60 |
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| 6. |
8D180 (linear pair property),Hence, AD bisects BC at right angles.EXERCISE 9(B). Given below are pairs of congruent triangles. State the property of congruence and name thecongruent triangles in each case |
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| 7. |
10. State the property illustrated in the following.-5 9 9,56 24 24X--= |
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Answer» 9 × -5 /24×6 9 and 6 should be cut down by 3 then 3/2 So,3×(-5) /24× 2-15/ 44 amswer It is the commutative property of multiplication |
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| 8. |
3. Write two rational numbers between :NE(b)- and -COIN |
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Answer» a)1/2 and 1/4hence1*2/2*2 and 1/42/4 and 1/4hence 2 rational numbers will be1.5/4,1.7/4 b)-4/5 and -3/7hence-4*7/5*7 and -3*5/7*5=-28/35 and -15/35-16/35,-17/35 |
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| 9. |
mine the longest tape which can be used to measure exactly the lengths 7 m |
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| 10. |
Find the general solution of the equation: sin x + sin 3x + sin 5x-0.+ sin 3x sin 5x 0 |
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| 11. |
15.(sin 3x + sin x) sin x + (cos 3x-cos x) cos x = 0 |
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| 12. |
sin 2x0If f(x) =sin 3x, when x; find whether f(x) is continuous at x = 0.2,when x =0 |
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Answer» The given function is f(x) = sin2x/sin3x , when x is not 0 so when x tends to 0 , the value will be of form 0/0 we will use limit limit (x->0) sin2x/sin3x = 2/3 but at x = 0 it is 2. so ,2 is not equal to 2/3. therefore discontinuous at x = 0. |
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| 13. |
.5 Answer the Tonogethons1) Explain the importance and utility of Book-keeping |
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Answer» Bookkeepingrefers to the organization and storage of accounting and financial documents such as ledgers, journals, financial statements, income tax records, and more. In part one of a two-part series, we expand upon whyrecord keepingandbookkeepingisimportantfor your business. |
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| 14. |
sin 3x) Evaluate limx→0 |
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Answer» sin (3x)lim -----------x --> 0 x We know sin (x)lim ----------- = 1x --> 0 x Therefore, mutliply and divide by 3, 3sin (3x)lim -----------x --> 0 3x We get 1 |
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| 15. |
sin 2xIf f(x) = l sin 3x , when x2,0find whether f(x) is continuous at x = 0.when x=0 |
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Answer» The given function is f(x) = sin2x/sin3x , when x is not 0 so when x tends to 0 , the value will be of form 0/0 we will use limit limit (x->0) sin2x/sin3x = 2/3 but at x = 0 it is 2. so ,2 is not equal to 2/3. therefore discontinuous at x = 0. |
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| 16. |
En(sin 3x)limx→0 ln(sin x)(A) 01s equal to(B) 1(C) 2(D) Non existem(n t -(n- |
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| 17. |
wet faapeT可可布マferfurq IChoose thel, cla万If for every a E A, (a, a) E R then relation R is |
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Answer» The suitable answer of this question is C...relation is reflexive... |
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| 18. |
6. Discuss the continuity or otherwiseofthethefunctionffunctionf(x) defined byx #0(x)sin 3x3,x 0 |
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| 19. |
.A certain body weights 22-42 gm and hasameasured volume of 4-7 c.c. The possibleerror in the measurement of mass and volumeare 0-01 gm and 0-1 c.c. Then maximum errorin the density will be |
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Answer» 2.1% |
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| 20. |
A certain body weights 22.42 gm and has a7measured volume of 4.7 c.c. The possibleerror in the measurement of mass and volumeare 0.01 gm and 0.1 c.c. Then maximum errorin the density will be |
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| 21. |
The ratio of weights of copper and zinc in brass is 13:7. Find the weight of zincin a brass utensil weighing 700 gm.mbers rhose sum is more than 45 but lesst1tta utholo |
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Answer» Ratio of weights of copper and zinc in brass is 13 : 7 .Let proportionality constant is x then, weight of copper = 13x weight of zinc = 7x A/C to question, Given, weight of brass = 700 gm weight of copper in brass + weight of zinc in brass = 700 gm=> 13x + 7x = 700 => 20x = 700 => x = 35 hence, weight of copper in brass = 13 × 35 = 455 gm weight of zinc in brass = 7*35 = 245 g Hit like if you find it useful! |
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| 22. |
1) What is Book keeping? |
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Answer» Bookkeeping involves the recording of financial transactions and other information related to the business on a day-to-day basis. |
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| 23. |
Book-keeping is which type of accounting? |
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Answer» Accountingis a high-level process that uses financial information compiled by abookkeeperor business owner, and produces financial models using that information. The process ofaccountingis more subjective thanbookkeeping, which is largely transactional |
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| 24. |
) Importance of medicinal plants. |
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Answer» Ans :- Plant is an important source of medicine and plays a key role in world health . Medicinal herbs or plants have been known to be an important potential source of therapeutics or curative aids. Many countries in the world, that is, two-third of the world's population depends on herbal medicine for primary health care. Medicinal plants form a numerically large group of economically important plants which provide basic raw materials for medicines, perfumes, flavors and cosmetics. Medicinal plants are those plants which are rich in secondary -metabolites and arc potential source of drugs. |
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| 25. |
Explain the importance and utility of Book-keeping |
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Answer» Importance and utility of Book keeping - Though book keeping is not made compulsory in respect of all types of business by statute, the maintenance of book accounts is essential in respect of every business for the following reasons. 1) In the absence of book-keeping nobody can carry out the business successfully. He will not be in position to know where he stands. He cannot know whether his business is profitable or unprofitable . He cannot ascertain the total amount of his capital and how it made up. 2) Book keeping enables the executives of the business to control the activities of the business . The executives of the business arrive of certain conclusions by reading the accounts of business i.e. a sale manager can ascertain whether a particular customer is a regular purchaser, prom in payment, worthy of extending credit facility etc. by reading the account of that costumer. 3) For the correct assessment of income-tax , sales-tax, custom duty etc. The book of account are required to be maintained and produced as an evidence in the respective departments of the government. 4) The business are required very often to take loans from bank or other financial institutions. In order to ascertain credit worthiness of the applicants , the lender require to go through the account of the applicants .After having studied the accounts carefully the lenders take a decision in respect of granting loans, cash credit etc. 5) If a legal action is required to be taken against any customer, for recovery of debt due from him , the book of accounts are required to be produced in the court as an evidence. 6) In case of Insolvency the court may refuse or suspend the discharge of an insolvent who can not produce book of accounts. 7) For ascertaining the value of the business in case of admission of a partner or amalgamation or sale of business, the book of accounts are required to be investigated. 8) Maintenance of books of accounts has been made compulsory in respect of companies by the companies Act, to safeguard the interest of the parties who have financial stake in the company. 9) In support of insurance claim lodged with the insurance company the relevant account are required to insurance company. 10) Even the government is required to publish the account the accounts of the last year at the time of placing the budget before the house for discussion and approval. |
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| 26. |
Find the Wet oes E Magnitude 1oDthat ave pe vpondlicta to tho plon ruhich |
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Answer» 2 |
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| 27. |
N" рез0рем 19реж: 08 |
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| 28. |
: डर (४ सेब और 4-. 08 संतरे खरीदे। समीरा द्वारा खरीदे गए फलों |
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Answer» 3 1/2 + 4 3/4 = 3.5 + 4.75 = 8.25 kg |
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| 29. |
A stone is thrown vertically upwards and the height reached to it in timethen the stone reaches the maximum height in time to |
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Answer» the words are not clear the question is not seen clearly the words are not clear |
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| 30. |
A stone is thrown vertically upwards and the height reached by it in time t is given by S = 80+*5*1then the stone reaches the maximum height in time t =3) 3,5 sec4) 2 sec |
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Answer» 2) is correct answer yes 2 i.e b is correct answer |
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| 31. |
The angle between the curves:y^{2}=4 a x \text { and } a y=2 x^{2}\begin{array}{ll}{\text { (A) } \tan ^{-1} \frac{3}{4}} & {\text { (B) } \tan ^{-1} \frac{3}{5}} \\ {\text { (C) } \tan ^{-1} \frac{4}{3}} & {\text { (D) } \tan ^{-1} \frac{5}{3}}\end{array} |
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Answer» thank you |
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| 32. |
6. Water level in a well was 20m below yround level. During rainy season, rain watercollected in different water tanks was drained into the well and the water level rises 3 mabove the previous level. The wall of the well is Im 20 cm high and a pulley is fixed at aheight of 80 cm. Raghu wants to draw water from the well. The minimum length of the ropethat he can use is? |
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Answer» the minimum length of the rope that he can use is a. 17 mb.18 mc. 96 md. 97 m |
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| 33. |
Prom ahe ofwer 96 m high, the angles ofmession of wo oars on a road at the same level as |
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| 34. |
ding by the side of a building 2 th of the height of the tree is above the buildinglevel. The building is 9 metres high. What is the height of the tree? |
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Answer» Let the height of the tree = H meters The part of the tree that is visible = 2/5 * H The part which is hidden by the building = H - 2/5 * H = H * [ 1 - 2/5 ] = 3/5 * H The part hidden of the tree = the height of the building 3/5 * H = 9 meters H = 9 * 5 / 3 = 15 meters |
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| 35. |
211, (1) Prove that tan x + cot x can never be equal to |
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Answer» Tanx + cotx = sinx/cosx+cosx/sinx =(sin^2x+cos^2x)/sinx×cosx =1/sinx×cosx. so,this can not be 3/2 as it is in the form 1/q, where q = sinx×cosx. which will always be less than 1. |
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| 36. |
. If in a triangle ABC, A=and4tan B tan C=α,thenthe value of α lies in |
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| 37. |
If tan (3x+30) 1,Then find the value of x. |
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Answer» tan45 = 1 = tan(3x+30)=> 45 = 3x+30=> 3x = 45 - 30=> 3x = 15=> x = 5 degrees. PLEASE HIT THE LIKE BUTTON |
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| 38. |
Section -B: English14.She writes very(A) beautify (B)beauty (c) beautiful (D) beautifully |
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Answer» beautifully is the correct answer beautifully is the right answers |
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| 39. |
8. Eric earns $250 for each magazine article hewrites. If he writes 112 magazine articles, howmuch money will Eric earn? |
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Answer» for one magzine Eric earn $ 250Total magzine he writes 112Total cost = 112 × $ 250 = $28,000 money he earns by writing article is $28000 |
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| 40. |
12. Change the following sentence into passive voice.a) Columbus discovered America.b) Rema was watering the plants.C) Mala has broken the window.d) Seetha writes a letter. |
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Answer» a) America was discovered by Columbus.b) The plants were watered by Rema.c) The window has been broken by Mala.d) A letter is being written by Seetha. |
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| 41. |
11) Show that tan 3x tan 2x tan xtan 3x-tan 2x-tan x. |
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Answer» From 3x = 2x + x Applying tan on both sides.. tan3x = tan (2x+x) tan3x = (tan2x+tanx)/1-tan2x tanx (1-tan2x tanx)tan3x = tan2x+tanx tan3x - tanx tan2x tan3x = tan2x+tanx tanx tan2x tan3x = tan3x-tan2x-tanx Like my answer if you find it useful! |
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| 42. |
tan 3xnever lies between 1/3 and 3.tan x |
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| 43. |
10. Find the sum of least and highest composite numbers below 100. |
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Answer» 0 is least ànd 99 is highest it is a correct answer.... |
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| 44. |
3x -313,fan 1-3xw.r.t. tan2 |
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Answer» hi in which class do u read.?Nd where r u from |
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| 45. |
11. Find the derivative of tan (3x + 3). |
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Answer» d/dx tan(3x+3) = 3sec(3x+3)*sec(3x+3) If you find this answer helpful then like it. |
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| 46. |
11. Find the derivative of tan (3x +3) |
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Answer» d/dx tan(3x+3) = sec(3x+3)*sec(3x+3)*d/dx (3x+3) = 3*sec(3x+3)*sec(3x+3) If you find this answer helpful then like it. |
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| 47. |
11) If the work done by a body on application of a constant force is directly proportional to the distancetravelled by the body, express this in the form of an equation in two variables and draw the graph of thesame by taking the constant force as 5 units. Also read from the graph the work done when the distancetravelled by the body is (i) 2 units (ii) 0 unit |
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| 48. |
Pig.7.22br8. In right triangle ABC. right angled at C. Misthe mid point of hypotenuse AB. C is joinedto M and produced to a point D such thatDM CM. Point D is joined to point B(see Fig. 7.23). Show that(i) Δ AMIC's Δ BMDi)DBC is a right angle1272(i) CM- AB |
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Answer» thanks for all question |
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| 49. |
Q.1Il. Find the derivative of tan (3x +3). |
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| 50. |
The period of the function tan (3x+5) is |
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Answer» thank u |
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