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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. |
4. Show that the diagonals of a square are equal and bisect each other at right angle |
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| 2. |
Using Hero's loomule, find thee o estate ali oseבשמים - |
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| 3. |
t a) Prove that a diagonal of a rhombus bisects the angle through which itpassasLa if the diagonals of a quadrilateral with no angle equal to 90, bisectaach other at right angles, prove that the quadrilateral is a rhombus. |
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| 4. |
62.HR x4 +ー=62,at x6 +y6虱(A(Ct?69 ( |
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| 5. |
द्वन्द्व योग विधि से 62 का वर्ग ज्ञात कीजिFind the square of 62 by Dwa |
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| 6. |
of 50 stade21. The following raw data given are the marksfowing raw data given are the marks obtained in a science test ofof class X in a school :797 9174083 4049719 | 40 | 31 | 73 | 7 | 49 | 73 | 62 | 40 | 62 |4149 | 49 | 83 Lanao | 62 | 73 | 19 | 31 T62 83 83 7249 / 91 83 31 1 401991626249496239407319Find the arithmetic mean of the marks.22 4 3 3 and n ha |
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Answer» all numbers of add and Divided by number of your student table. this is rule of mean marks. am sure you are understand. |
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| 7. |
2.In Fig. 6.43,the bisectors ofXYZ and 2XZY respectively of Anzfind ZOZY and ZYOz62°、2XYZ = 54°. If yo and ZO are62Fig·6.43 |
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| 8. |
\left. \begin array l \frac 62 \times 62 - 38 \times 38 24 \\ 42 \times 45 \end array \right. |
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| 9. |
4. Fill in the blanks :(a) 556x =0(b) 46513= 46(c) 583 x 0 =583(d) 26 (51+62)= *51+ 0(e) 14* * 463 = 140 38*62 |
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Answer» a. 0b. 513c. 1d. 26,26e. 38, 463 (a) 556×0=0(b) 23598(C) 1(d) 1663(e) 6482is the best answer me |
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| 10. |
1. In locality, there is a main road along North-South direction. Themap is given below. With the help of the picture answer the followingquestionsWhat is the object on the left side inStreet no. 3 while going in east direction?(0) Find the name of the house which isright side of street 2 while yoing in castdirection(ii) Locate the position of Mr. K's house(iv) How do you describe the position of thepost office? East Right Sie(v) How do you describe the location of the- STREET - ---- --hospital Streetu East--- |
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Answer» the correct answer is C |
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| 11. |
is a rhombus4.Show that the diagonals of a square are equal and bisect each other at right anglesnd bisect each other at rio |
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| 12. |
A fruit-seller buys 100 oranges for R250. He sellsoranges at ? 27 a dozen. Find his gain or loss percent. |
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Answer» CP of 100 oranges= Rs 250SP of 12 oranges= Rs 27SP of 1 orange= 27/12SP of 100 orange= 27/12 ×100= Rs 225Loss= 250-225= Rs 25L%= (25/250×100)%= 10% |
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| 13. |
3.Use Euclhd's Division Algorithm to find the HCF of 126 and 275, |
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| 14. |
Divide 5x3-13r + 2 1x-14 by (3-2x + x") and verify the division algorithm. |
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Answer» Given f(x) = 5x^3 - 13x^2 + 21x - 14. Given g(x) = 3 - 2x + x^2. We need to divide f(x) by g(x). 5x - 3 ---------------------------------= > x^2 - 2x + 3) 5x^3 - 13x^2 + 21x - 14 5x^3 - 10x^2 + 15x --------------------------------- -3x^2 + 6x - 14 - 3x^2 + 6x - 9 ----------------------------------- -5. Here, Dividend = 5x^3 - 13x^2 + 21x - 14 Divisor = 3 - 2x + x^2 Quotient = 5x - 3 Remainder = -5 Division Algorithm: Dividend = Divisor * Quotient + Remainder = (3 - 2x + x^2) * (5x - 3) + (-5) = 15x - 9 - 10x^2 + 6x + 5x^3 - 3x^2 - 5 = 5x^3 - 13x^2 + 21x - 14. LHS = RHS |
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| 15. |
2.e each mangA fruit seller makes a profit of 16 on selling each apple and a loss of 79 on selling eachFind the profit or loss of the fruit seller, if he sells 22 apples and 30 mangoes. |
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Answer» how to find linear or quadratic polynomial in graphics find no. of zeroes Profit by apples=16*22=rs352Loss by mangoes=9*30=270rsSo,profit=352-270=rs82 |
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| 16. |
who was the first PM is india |
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Answer» pandit jawaharlal nehru |
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| 17. |
hurSfruit seller buys 16 apples at ? 10 per apple and sells 12 of them at ? 12 per apple and restat 8 per apple. Find his gain or loss. |
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Answer» Total money spent on the apples bought (CP)= number of apples x Rs = 16 x 10= 160 rstotal money earned by the apples sold (SP) = number of apples x Rs = 12 x 12 = 144RsLoss = CP - SP = 160 - 144 = 16 Rs |
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| 18. |
A person is cycling,a parallel to a railway track, with a speed of 10 km /h. A train traveling in the same direction at 48 km /have passes him in 22 s. Find the length of the train |
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| 19. |
9. How much time will a 120 m long train, travelling ata speed of 108 km/h take to go past a signal by theside of the railway track? |
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Answer» Length of train = 120 mSpeed of train = 108 km/hr= 108*5/18 = 30 m/sec Then, Time required to go past a signal = Distance /speed= 120/30 = 4 sec |
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| 20. |
in LU8. Jagdeep traveFrom Karol Bagh to Pusa Road in an autorickshaw arfrom Pusa Road to New Delhi Railway Station by a taxi. After that Jagdeep covered 3 kmfrom the parking of New Delhi Railway Station to the platform on foot. What is the totaldistance covered by Jagdeep from Karol Bagh to reach the platform? |
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| 21. |
(3) Line 1 is the perpendicular bisectorof seg AB at point M.If PA 3 cm, then find the lengthof PB. Give reason. |
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Answer» it will be equal to PA as these two triangles are congruent to each othertriangle PMA is congruent to triangle PMB |
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| 22. |
he centre of thecylinder and sphere.t out of a plane pa3. 12 |
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Answer» diameter of circle is longest chord and 2 times of radius. A diameter is the line that passes through the center and touches the circle at both ends. It is measure twice as much as the radius which is a straight line from the center of the circle to one end of the circle. |
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| 23. |
Check whether the g() g(t) is a factor of the(8) pt) by applying the division algorithmpa)= -*++3+1,ga) =-31Dpt) = 2 +38-27-9-1291) =1+3+1 |
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Answer» simplydivied thep(X) by g(X)if you get zero remainderit means g(X) is a factor of p(X). |
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| 24. |
Find the compound interest on 5000 for 3 years at 5% pa. Find the simple in3 years at 5% pa. and calculate the difference in the interests.Praveen borrows an mle interest |
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| 25. |
● Suppose a + b = c + d, and a < c. Use proof by contradiction to show b > d |
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| 26. |
äš5eximetexoseSem |
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Answer» explain in details |
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| 27. |
3.1Find the angles of a triangle which are in the ratio 4:3:2 |
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| 28. |
The angles of a triangle are in the ratio 4:3:2. Find the magnitude of each angle |
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| 29. |
. + (:Prove that _____Sme - —-——————]'Ose = 2 Cosec |1+Cos 0 Sin 6 |
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| 30. |
18. If cot θ + osevalue of θ isand 0 < θ < 90°, then the2 + va |
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| 31. |
12415ose that nontu as an even number for allery energen. |
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Answer» n(n+1 ) is an even numberas if we put n= 1 We will get2n= 22(3)= 6just like that we can see that we are getting only even numberthanks |
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| 32. |
If successive discounts of 8%, 4%allowed, what would be the net selling price of aose marked price is 1500/- |
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| 33. |
what the name of India pm |
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Answer» Narendra Damodardas Modi is the prime minister of india Narendra Damodardas Modi is an Indian politician serving as the 14th and current Prime Minister of India since 2014. He was the Chief Minister of Gujarat from 2001 to 2014, and is the Member of Parliament for Varanasi. mr narendra damodar das modi Narendra damodardas मोदी is the prime minister of india Narendra modi mr.narendra modi pm India NARENDRA MODI IS PM OF INDIA NARENDRA MODI is our current pm. Narendra Modi ji. Mr. narender modi.is our prime minister |
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| 34. |
EXERCISE 8.1The angles of quadrilateral are in the ratio 3:5:9: 13. Find all the angles ofquadrilateral1. |
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Answer» Let X be the common multipleThen, 3x + 5x + 9x + 13x = 360 (As sum of angles of a quadrilateral is 360°) 30x = 360 x = 12°The angles are 3x = 3*12 = 36° 5x = 5*12 = 60° 13x = 13*12 = 156° 9x = 9*12 = 108° |
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| 35. |
ERERCSE 8.1The angles of quadrilateral are in the ratio 3:5:9: 13. Find all the angles of thequadrilateral.1. |
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| 36. |
The angles of a quadrilateral are in the ratio 1:2:3:3. Find the measure ofeach angle of the quadrilateral. |
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Answer» let the angles bex, 2x, 3x, 3xsum of quadrilateral = 360°x + 2x + 3x +3x=360°9x =360°x=360/9x=40°2x= 80°3x = 120°3x= 120° 1st angle - 40°2nd angle - 80°3rd angle - 120°4th angle - 120° Let the angle be x,2x,3x and 4xTherefore 40°,80°,120° and 120° |
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| 37. |
1. The angles of a quadrilateral are in theratio 3:5:9:13. Flad all the angles ofthe quadrilateral. |
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| 38. |
The angles of a quadrilateral are in theratio 4 3:2:1. The measure of thesmallest angle of the quadrilateral is |
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| 39. |
is it possible to give 20/3kg of sugar to each of 10persons from the stock of 66kg of sugar. give reasons. |
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Answer» no because. we have to provide 66.66 kg of sugar but we only have 66 kg of it no because we have 6.66 kg of suger when we have 66 kg Because we have to 66.66. Kg of sugar No because we provide 66.66 kg of sugar but we have only 66kg fo it |
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| 40. |
mttnge hs perimeter is 90 çm and sides are in the ratio of 5:Find the cost of fencing a rectangular park with length as 10 m and breadth as 7 m, itfencing is (25 pe mee) |
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| 41. |
heCoA cuboid 3 cm x 4 cm Ă5cm) is cut into unit cubes. The ratio of the total surface area of all the unitcubes to that of the cuboid is |
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Answer» Volume of cuboid = 3 cm × 4 cm × 5 cm = 60 cm3 number of unit cubes made out of given cuboid = 60 Total Surface Area of unit cubes = 60 × 6 = 360 cm2. Surface area of given cuboid = 2×[ 3×4 + 4×5 + 5×3 ] = 2×[12 + 20 +15 ] = 94 cm2 Ratio of total surface area of unit cubes to the surface area of given cuboid = 360 : 94 = 180 : 47 |
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| 42. |
I, The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles ofquadrilateral. |
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Answer» from where the x=12 come from |
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| 43. |
6ă. A man sells his type writer at 5% loss. If he sells it for Rs 80 more, he gains 5%. The cost priceof the typewriter is Rsa) 1600b) 1200c) 1000d) 800 |
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| 44. |
L. The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles ofquadrilateral |
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| 45. |
The angles of quadrilateral are in lhe ratioquadrilateral1.: 5-9 13 Fird allthe angles of th |
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| 46. |
Ram bought a type-writer foradded.3,300 including a tax of 10%. Find the price of the type-writer before VAT was |
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Answer» 3300 including 10% tax so without tax price was 3300/1.1 = 3000 |
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| 47. |
38. एक समबाहु त्रिभुज की एक भुजा 2/5cm है, तो उसका शीर्षलवकौन-सा होगा?(a) 3 cm(b) 4/5 cm(c) 2/2 cm(d) 5 cmउत्तर-(a) |
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Answer» a) is the Answer , you check it a is the answer is correct Option a is the right answer A option is the right answer answer a ka right shi h a option is the right answers options number A is the correct answer by PREM KUMAR SINGH option a is the right answer (a) is the correct answer h shirsfal= 3 cm hoga is a careat answer option A is right answer option A is the right answer A is the Answers is true a is the right answer a. 3 cm is correct answer. option (a) is right answer 3 cm is the right answer 3cm is the best answer 3 cm is the right answer.....correct answer...,..... 3 cm is the correct ... ans A is the correct answer a) is the answer ,you chack it correct ans 3cm means that option (a) 3cm is the correct answer a) is the correct answer answar a( 3 cm ) you check answer 3 cm is right answer a) since we know from Pythagoras that (height)^2 = ( hypotenuse)^2 - ( base ) ^2 = (2√3)^2-√3^2 =9 so height = 3 cm 3 is the right answer a this is right answer my answer is the 3cm option A is the right answer. options number A is the correct answer Answer is a 3 cm true answer of this question is 3 cm option number (a)3 cm is the right answer. 3 cm this is right answer answer no. a (a) higa एक समबाहु त्रिभुज की एक भुजा 4√3 3cm is a right answer a is correct options 3 cm. Is right answer.. a is right answers , please check it 3 is the correct answer a is the correct answer 3cm..................... (A) is correct answer option a is right answer correct answer is option a 3 cm |
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| 48. |
sIMcas)56 12 122 |
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Answer» = Let the missing number be x. = (12 + x ) / 6 + 53 / 12 = 79 / 12 = (12 + x ) / 6 = 79 / 12 - 53 / 12 = (12 + x ) / 6 = 26 / 12 = 12 + x = 26 / 12 * 6 = 12 + x = 13 = x = 13 - 12 = 1. |
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| 49. |
Using Euclid's division lemma, show that the square of any positiveinteger is either of the form 3m or (3m + 1) for some integer mAMPLE 5CBSE 2008mositive integer |
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| 50. |
12-3 right angles= ? |
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Answer» 3/2 right angle = (3/2)×90 = 135 degree |
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