This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Two poles of height 6m and 11m stand on a planeground. If the distance between the feet of the polesis 12m, find the distance between their tops |
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| 2. |
Express the following numbers in standard form(0) 0.0000099660985(i) 6020000000000000(v) 318600000000.00000000000942(iv) 0.00000000837 |
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| 3. |
64656667686970Single Choice+4/ -1limequals:If f(r)=xr2, then lim 7"+) - 80°) equals:, then 90Av2B270C21D2002Submit |
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| 4. |
2. Write the following quadratic equations inthe standard form and write the values ofa, b, c.(2 marks each)(i) (x + 4) (x-3)=0Solution :Ans. |
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Answer» your answer is a=1 ,b=1 , c=-12 (x+4)(x-3)x^2+x-12standard equation ax^2+bx+chere a= 1, b= 1, c=12 |
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| 5. |
64656667686970Single Choice+4A1/2B-1/2C1D-1Submit |
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Answer» if u understand my solution please like my answers |
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| 6. |
Question 21. Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify your answer. |
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| 7. |
& Find the total run in hr. and min, if the train starts at 6.30 a.m. and reaches its destination thenext day at 9.15 A.M. |
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Answer» 2 hrs and 45 mins is the right answer |
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| 8. |
.Show that n2-1 is divisible by 8, if n is an odd positive integer. |
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Answer» Sol:If 'n' is an odd positive integer, show that (n2-1)Is divisible by 8??Any odd positive integer is in the form of 4p + 1 or 4p+ 3 for some integer p.Let n = 4p+ 1,(n2– 1) = (4p + 1)2– 1 = 16p2+ 8p + 1 = 16p2+ 8p = 8p (2p + 1)⇒ (n2– 1) is divisible by 8.(n2– 1) = (4p + 3)2– 1 = 16p2+ 24p + 9 – 1 = 16p2+ 24p + 8 = 8(2p2+ 3p + 1)⇒ n2– 1 is divisible by 8.Therefore, n2– 1 is divisible by 8 if n is an odd positive integer. |
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| 9. |
ne angle of elevation of the top of a tower observedfrom each of three points A, B and C on the groundTorming A triangle is the same angle Ø. If R is thecircumradius of triangle ABC, then show that the height ofthe tower is R Tan. |
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Answer» shsiebdhdudbdujehwjwbwushdgdhdndjddh what is your question this question is wrong |
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| 10. |
600, then what will be the height oftetower F ·NE10) If a tower 30m high, casts a shadow 103 m long onthe ground, then what is(01)the angle of elevation of the sun?00m When the angle of elevation of Sun is 30, the(01r is 1 |
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Answer» Let theta be the angle of elevation of sun. tan theta = height of tower ÷ length of shadowin this case tan theta = 30/10√3 = √3since tan theta is √3 the theta is 60 degreestherefore the angle of elevation is 60 degrees. |
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| 11. |
A man bought a bureau for 6750, a table for 4550 and a chair for950 for his house. What is the total value of the things he bought? |
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Answer» Total value = 6750 + 4550 + 950 = 12250 thanks bro |
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| 12. |
1. A man bought an article forht an article for 50 and sold25 and sold it for40. Another man bougt for65. What rate of profit is greater and by what per cent ? |
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| 13. |
A man bought some pencils for 30 and some pens for 90. The next day, he again boughtsome pencils for 25. Then, he sold all the pencils for 20 and the pens for 70. What washis net gain or loss? |
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| 14. |
Find the mean marks of the students from the following cumulative frequencydistributionMarksBelow 10Below 20Below 30Below 40Below 50Below 60Below 70Below 80Below 90Below 100No. of students1729456070788385 |
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| 15. |
(ABCD is acyclic quadrilateral in which ZA-4y+20), zBay-MC-(-4ry.zD-+5)°. Find the angles of the quadrilaterial.(4x)°(4y +20)°16. z |
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| 16. |
Frequency distribution of daily commission received by 100 salesmen is givenbelow. Find mean daily commission received by salesmen by assumed mean method.)Daily commissio n (in ) 100 - 120 120- 140 140- 160 160- 180 180-200No. of salesmen20454 |
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| 17. |
subtracted HUIdrilateral in which ΖΑ = (2x + 5)", <B-(4y + 20)", <C-(3y), 4(ABCD is a cyclice wx0) Find the angles of the quadrilateral.)(x+10)。(2x +5)(4y+20)° |
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Answer» We know that sum of angles is 360°and sum of opposite angles are 180so 2x+y+5= 180and 4y+x+30= 180 y= 125/7= 17.85and x= 78.5 |
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| 18. |
The path of a train A is given by 3x +4y -12 0 and the path of another train B isgiven by 6x + 8y-48-0 Represent this situation graphically. |
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Answer» Thank you |
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| 19. |
x-2+4y=20 |
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Answer» x +4y = 22sol possible solution arex= 20 and y = 0 |
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| 20. |
Two poles of heights 6 m and 11 m stand on aplane ground. If the distance between the feetof the poles is 12 m, find the distance betweentheir tops.. |
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| 21. |
Two poles of heights 6 m and 11 m stand on ane ground. If the distance between the feetplaof the poles is 12 m, find the distance betweentheir tops. |
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| 22. |
2. Two poles of heights 6 im and 11 m stand on aplane ground. If the distance between the feetof the poles is 12 m, find the distance betweerntheir tops |
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| 23. |
Themeanofthefollowingdata is 50 find missing frequencies.30 5090 Total1719 120 |
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| 24. |
12The total number of observations in the following distribution table is 120 and teimean is 50. Find the values of missing frequencies fi and f240-6060-8080-100Class:0-20 20-403219Frequency 17 |
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| 25. |
e11.Themean of the data in the following table is 50. Find the mising frequenciesnd the missing frequenciesClass10-3030-5050-7070-9090-110Frequency903040Total200[CBSE 2012 (Septemb |
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| 26. |
wouldyoubringaboutthefollowingconversonsuuvudgesSahetheyrcesFinlHetormationitdsotic e reation11.of scum3How would you bring about the following conversions?involved.e the process and Write the reactiona) Ethanol to cthanc.b) Propanol to propanoic acid. |
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Answer» hit like if you find it useful |
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| 27. |
(1) A gulab jamun contains sugar syrup up to about 30% of itsvolume.(a) Find approximately how much syrup would be found in 45gulab jamuns, each shaped like a cylinder with twohemispherical ends with length 5 cm and diameter 2.8 cm.(b) What mathematical concept is used in the above problem.2.8 cm5cm |
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Answer» Please hit a like if you find the answer useful |
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| 28. |
Divide:12.98 by 4 |
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Answer» 12.98/4 = 3.245 |
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| 29. |
2 A fruit seller bought some oranges for 2,150 and sold them forR 2,500. Find his gain or lossir Then he sol |
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Answer» Gain=2500-2150=350Gain%= Gain/C.P ×100=(350/2150)×100=0.162×100=16.2% |
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| 30. |
plotting a point on plain |
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| 31. |
Subject: Mathematics (l)age 02)Perform any three of the following activities.1) Complete the following Activity by using the ratio of ab3-45a+2bЗа4b2a-ba+ b'b'2b |
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| 32. |
In Δ ABC, AD and BE are altitudes. Prove thatDC2AC2ar (A DEC)ar (A ABC) |
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| 33. |
26MATHEMATICS4.The wheels of a car are of diameter 80 cm each. How many complete revolutions doeseach wheel.make in 10 minutes when the car is travelling at speed of 66 km per bodtient nuer in the following and iustify your choice: If the perimeter and |
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Answer» thanks |
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| 34. |
Write the value of 9 sec2 θ-9 tan2 θ. |
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Answer» 9 sec2 A - 9 tan2 A= 9( sec2 A - tan2 A)= 9 × 1= 9 |
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| 35. |
5m - 3m = 9; m - 6n = -7 |
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Answer» 5m - 3n = 9..... (1)m - 6n = - 7......(2) Multiply eq(2) by 55m - 30n = - 35....(3) Subtract eq(1) from eq(3)-27n = - 44n = 44/27 Put value of n in eq(2)m - 6*44/27 = - 7m = - 7 + 2*44/9m = (- 63 + 88)/9 = 25/9 |
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| 36. |
9 sec2 A 9 tan2 A is equal to |
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Answer» 9(sec^2x-tan^2x)now sec^x-tan^2x=1hence9(1)=9 |
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| 37. |
5. Divide 4/2 -9 m2 by (2l-3m) |
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| 38. |
2+3 108+4-96 In the mathematical problem given7+2 63 the number in place of "2"9+3m ? should be |
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Answer» 12*9= 108 as 2+3= 5,5*2= 108+4= 12,12*8= 96 |
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| 39. |
which cal theequation in( 3x - 1(B) an- 2c) areD following is a linearone variable= ane tus the= 5x – su 25.= 32-3cal these |
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Answer» of these are linear equations. All are quadratic equations. none of these are linear equations all are quadratic equation none of these are linear equation all are quadratic equation none of these all arw quadrstic equations non of these all are quaradic equations |
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| 40. |
The price of mangoes increased from 160 to 225. Find the percentageincrease in the priceMent |
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Answer» Initial price = ₹ 160 Final price = ₹ 225 Increase = ₹ 225 - ₹ 160 = ₹ 65 % of increase = 65/160 × 100 = 40.62 % |
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| 41. |
In one week, a fruit seller sold 145 mangoes on Monday, 107 on Tuesday, 160 on Wednesday, 154Thursday, 175 on Friday, 185 on Saturday and 250 on Sunday. Find the average number of mansold in the week. |
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Answer» Monday is equals to 145 mangoes and Tuesday is equals to 107 mangoes and Wednesday is equals to 160 mangoes and Thursday equals to 154 mangoes and Friday is equals to 175 mangoes and Saturday equals to 185 mangoes and Sunday is equals to 250 mangoes. now add all these numbers and divide the number by 2 you can get the answer. |
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| 42. |
136 apples are shared by 24 students on a picnic. How many apples are shared by 3 students? |
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Answer» For this first find apple shared by one studenthence it will be 136/24=5.66Hence in 3 students=17apples |
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| 43. |
The figure, APOR, PS and R7' are medians and SM|RT. Prove that QM4 |
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Answer» If you find this solution helpful, Please like it. |
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| 44. |
.lau g the |
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Answer» Let the four consecutive numbers in AP be (a - 3d), (a - d), (a + d) and (a + 3d)So, according to the question.a-3d + a - d + a + d + a + 3d = 324a = 32a = 32/4a = 8 ......(1)Now, (a - 3d)(a + 3d)/(a - d)(a + d) = 7/1515(a² - 9d²) = 7(a² - d²)15a² - 135d² = 7a² - 7d²15a² - 7a² = 135d² - 7d²8a² = 128d²Putting the value of a = 8 in above we get.8(8)² = 128d²128d² = 512d² = 512/128d² = 4d = 2So, the four consecutive numbers are 8 - (3*2)8 - 6 = 28 - 2 = 68 + 2 = 108 + (3*2)8 + 6 = 14Four consecutive numbers are 2, 6, 10 and 14 |
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| 45. |
Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73 |
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| 46. |
7. Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73. |
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| 47. |
Drawa line AB. Take a point P outside it. Draw a line passing through P and perpendicuto AB. |
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Answer» draw the picture |
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| 48. |
Draw a circle of radius 2.5cm and take a point P outside of it without using the centre of circle.Draw two tangent to the circle from the point P |
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| 49. |
Using Euler's formula, find the number of edges in polyhedron if thenumber of faces is 20 and the number of vertices is 12 |
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Answer» this is right answer 2012 |
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| 50. |
9 {sec}^{2} A-9\tan ^{2} \A |
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