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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. |
ETERMINANT1.9PROBLEM SET - IIProblems with, marks are solved at the end of the problem set!valuate the following determinants:(i) l0 a b2ĎĎ26) 0)0)0)(iv) z 0 y(iii) 1 2 5 |
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Answer» hit like if you find it useful hit like if you find it useful |
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| 2. |
Ifx -aby-aband :-ab provethat xxyx1 |
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| 3. |
of Problem Set 391. Write how many rupees and how many paise.(1) 58.43(2) * 9.30 |
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Answer» 58 rupees 43 paisa9 rupees 30paisa 58rupees 43 Paisa9rupees 30paisa 58 rupees 43paisa 9 rupees 30 paisa first answer is = 58 rupees and 43 paisesecond answer is = 9 rupees and 30 paise 58 Rupees and 43 paisa9 Rupees and 30 paisa 58 rupees 43paisa9 rupees 30paisa 58 rupees 43paisa 9 rupees 30paisa |
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| 4. |
Problem Set -5 (Textbook Page No. 126Joseph kept 26 cards in a cap, bearing oneEnglish alphabet on each card. One card isdrawn at random. What is the probability thatthe card drawn is a vowel card?(2 marks)on: |
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Answer» There are 5 vowels among 26 alphabets.P(vowel card) = 5/26 |
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| 5. |
s. List which of the following real numbers arerational and which are irrational. Giveexplanation to support your answer.(ii) 22(iv) 5+V3 (v) |
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Answer» a)5/√3=5√3/3 but this √3 cannot be expressed in p/q form hence it's irrationalb)irrational. √7 cannot be expressed in p/q formC)√3/2=irrational cannot be expressed in p/q formd)5+√3 irrational cannot be expressed in p/q formE)6/5 rational this can be expressed in p/q form |
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| 6. |
1.for each of the following sub questions.Problem Set-3Choose the correct alternative answer for each of the following(1) The sequence -10, -6, -2,2, ...(A) is an A.P., Reason d = -16 (B) is an A.P., Reason d = 4(C) is an A.P., Reason d = -4 (D) is not an A.P. |
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Answer» B is the correct answer B is the correct answer |
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7. Problem: If z = 2-3, then show thatz^{2}-4 z+13=0 |
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| 8. |
6. Find si Idul7. Find five rational numbers betweenen § and |
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| 9. |
Problem Solvinguess, check, and revise to solve each problem.. A cabin has room for 7 campers and 2 counselors. How manycabins are needed for a total of 49 campers and 14 counselor |
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Answer» needed 42 campers and 12 counselors |
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| 10. |
ratio of the income to the expenditure of a family is 7 : 6. Find the savings if:6. Find the savings itthe income is 1400. |
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Answer» what must be added to number 3, 5, 8 and 12 so that they are in proportion |
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| 11. |
-6Find the product ofand reciprocal of -17f1LFind the. |
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Answer» -6/17 × (-13/4)=--3/17×-13/2=39/34 -6/17 × 13/-4-3/17 × -13/239/34 |
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| 12. |
16. Ifx --= 6, find the value of x + |
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Answer» x -1/x =6; (x + 1/x)^2=6^2; x^2 + 1 / x^2 +2x/x = 36; x^2 + 1/ x^2 = 36 -2=34 x^2 + 1/ x^2 =36+2=38 |
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| 13. |
6. Find the fourth propo(i) 8, 36, 6 |
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Answer» fourth proportional=36×6/8=27 |
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| 14. |
)Wv{1&Gl -17धरे (22/4i 4]|[ (3 oo Ms /’)fi eil10 कं देA UaM/ :IAo कर्ण |
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Answer» Given, Area of square = 16200 m² We know that, Area of square = side² side² = 16200 side = √16200 AB = BC = √16200 Now, Using Pythagoras theorem in ΔABC AC² = AB² + BC² AC² = 32400 AC = 180 m Hence, Diagonal of square is 180 m |
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| 15. |
(a) y by ?Find the product :w1828fa) 5x3220154. Find :5. Which is greater? 3of6.Find :3 |
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Answer» 2. 3×15/8×28 45/2243.1/104.3/145. 2) 3/8 * 15/28 = 45/ 224 3) 5*3/20*2/15 = 3/30 =1/10 4) 2/7*3/4 = 3/14 5) |
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| 16. |
(III) 5t-17Classify the following as linear, quadratic and cubic polynomial(ii) x - x(1) x² + x(iii) y + y2 + 4(v) 3t(vi) r2(vii) 7x3 |
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Answer» 1. Quadratic2.Cubic3.Quadratic5.Linear6.Quadratic7.Cubic |
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| 17. |
5. Find the least number of six digits which is a perfect square. Find the squareof this number.6. Find the value of J64432729 - 9653449 |
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| 18. |
NuWhich of the following real numbers aascending order ?2(a) 7 v.01, v.04, v.004917-2' 1720, 1704. 0049701, /0049, 041 |
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Answer» crop the question which is required to be answered as we cannot provide multiple solutions. |
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| 19. |
Exercise 10.31. Factorise the following expressions using algebraic identities() x2 12x36(ii) 36p2 - 60pg + 25q2 (ii) 9x2 + 66xy 121y(iv) a4 + 6a2b? + 9b4(v) x2 +2 + 2(vi) x2 + x4Factorise the following (2to 10) expressions:2. (i) 4p2 -93. () 20x2- 45y2(i) 4x2 169y2(ii) -25a2b216(i) (2m+3n)2 - (3m +2n)2(i) 9(3x +2)2 4(2x -1)2(i) 63p q2 - 74. () 9(x + y)2-25. (i) 25(a b)2 16(a b)26. (i) x3 - 25x7. () x2-v2-2y 18, (i) 9x2-y2 + 4y-49. () 625-p(ii) p2 4pg +4q2 -2(i) 4a2 - 4b2 + 4a + 1(ii) 5y5 - 405y(ii) 64a2- 9b2 + 42bc -49c2 |
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Answer» please post that particular question whose solution you want we cannot give the solutions of all we cannot give answers for all |
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| 20. |
P--,-40A body moves through a distance of 5 m along the length, 4 m along the breadth and 3 malheight of a rectangular room. Find the displacement of the bodya) 52 mb) 42 m c)32m d) 273 mICON TIT-JEE (MAIN AND A |
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Answer» option D is the correct answer option D is the correct answer D Is correct answerrrrrrrr Displacement =√(lxl + bxb + hxh) (Diagonal of cuboid) =√(5x5 + 4x4+ 3x3) m= √(25 + 16 +9) m=√(50) m=5√2 m =V(5×5+4×4+3×3)m=V(25+16+9)m=V(25+25)m=V50m=5V2m c) is the correct answer c) is the correct answer |
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| 21. |
(नशे (9.+<« (1 50%B ) bhB |
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| 22. |
Tick () mark the correct answer :1. On factorising (3abc + 9ab-c + 21abc2), we get |
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| 23. |
List all the prime numbers(a) less than 50,(b) from 140 to 200 |
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Answer» (a) The primes less than 50 are:2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 (b) from 140 to 200149 151 157 163 167 173 179 181 191 193 197 199 |
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14. The x coordinates of a point P is twice its y coordinates.If P is equidistant fromQ (2,-5) andR (- 3, 6),thenfind the coordinatesof P= The End |
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10. The radius and height of a cylinder are in the ratio 7 : 2. If the volume of the cylinder is8316 cm 3, find the total surface area of the cylinder. |
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10. The radius and height of a cylinder are in the ratio 7 : 2. If the volume of the cylinder is8316 cm3, find the total surface area of the cylinder |
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16.Pankaj sells two cycles forき2376 each. On one he gains 1096 and on the other he loses losFind his gain or loss per cent. |
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| 28. |
e a suitable iul |
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Answer» (x+3)× (x+3) = (x+3)^2 = x^2 +9 + 6x |
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If Pankaj deposits 1,50,000 rupees ina bank at 10 р.с.р.a. for two years.what is the total amount he will getfrom the bank? |
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| 30. |
3. If ABC APOR and o g Thenfind rato area of AABC to area of ar on.PQ 8 |
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| 31. |
J The radius and the height of a cylinder are in therato 7:2. If the volume of the cylinder 8316 cmind the total surface area of the cylinder |
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| 32. |
leCOstpiic6. Vinay sells a watch for 1140, a7 A man boucht turo cycles for 1040. He sold one at a loss of 15% and other at a profit of 36% andt a loss of 5%. At what price should he sell the watch to gain 596? |
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| 33. |
5. If Pankaj deposits 1,50,000 rupees ina bank at 10 p.c.p.a. for two years,what is the total amount he will getfrom the bank? |
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Answer» Interest = p× n×(n+1) ×r/2×12×100So ,Interest =(150000*24*25*10)/2*12*100Now ,15000*25Rs.375000 |
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| 34. |
Write with reasons, which of the following sets are finite or infinite.(i) A={xlx < 10, x is a natural number}(ii) B- ly< -1, y is an integer)(v) Set of apparatus in labore(iii) C-Set of students of class 9 from your school. (vii) Set of rational(vi) Set of whole numbersiv) Set of people from your village.Let's learn.diorame |
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Answer» i) it is a finite set . |
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| 35. |
7. Let A = The set of all natural numbers less than 8, B = The set of all prime numbersless than 8, C = The set of even prime number. Verify that(i) (A) B) x C =(AxC)n(BxC) (ii) Ax(BẠC)=(Ax B)-(AxC) |
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Answer» yes it is correct answer |
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| 36. |
13. If A is the set of even numbers and B is the set of prime numbers less than 2, then A x B is aa) null setb) infinite setc) singleton setd)cannot be determined |
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Answer» b) A = {2, 4, 6, 8 ,10.....} B= null set so Cartesian product of A and B is A × B = A which is itself an infinite set. |
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| 37. |
The temperature of the fridge compartment of a refrigerator is set at 8°C. The freezercompartment is set at -9°C. What is the difference between these temperature settings |
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Answer» The temperature of the fridge compart=8.cThe temperature of freezer compartment=-9.cDifferent=(8.c)-(-9.c)=8.c+9.c=17.c 17 degree Celsius is the answer of the question - 17 degree Celsius answer |
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| 38. |
5. Write the subset relations between the sets :(3 maA=The set of residents in Patna.B=The set of residents in Akola.C=The set of residents in IndiaD=The set of residents in Maharashtra.E=The set of residents in Bihar. |
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Answer» C{D(B),E(A)} is the correct format option C) is the correct answer E) is the correct answer |
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| 39. |
If a set A=(a, b, c) then find the number of subsets of theset A-(A)4(C)8(B)6(D)9 |
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Answer» tq a lot my dear |
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| 40. |
4. If the area of an equilateral triangle is 3cm, then find the length of its each side. |
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| 41. |
(1) Let X be a countably infinite subset of R and A be a countably infinite subset ofX. Then the set X\A= {E X & A}A) is empty.C) can be a countably infinite set.B) is a finite setD) can be an uncountable set. |
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Answer» c) can be a countable infinite set C) is correct answer |
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| 42. |
. Define subset of a set2. Given that the number of subsets of a set A is 16. Find the number of elements in A.e tollowing cR on the set N ofN, Depict fth |
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Answer» Total number of subset of any set Q having n element is is 2ⁿ So, here given numbers of subsets is 16 therefore2ⁿ = 16 So, n = 4 Total number of elements in set A is 4 thank u |
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saTbers are in e rato7:11 7 ss adided to eacs of tmumbers, te rato beomes2 3.Fnd the mumbers |
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Answer» X/y=7/11y=11x/7x+7/y+7=2/3x+7/11x/7+7=2/3x+7/11x+49/7=2/33x+21/2=11x+49/721x+147=22x+98147-98=x=>x=48.y=approx 77 |
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| 44. |
er nrst term examination and 76% marks in her final examination. In the firstm examination, the maximum marks were 1,200 and in the final examination, the maximum markswere 1,500. What is the percentage of marks obtained by Harjti considering both the examinations5. Hariti got 85% marks in hsimultaneously?eased by 10% Ifthe new price säš50 ner kg fnd the old nrĂŹce |
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Answer» Marks in first term exam = (85/100)*1200= 85*12 = 1020 Marks in final exam= (76/100)*1500= 76*15 = 1140 Percentage of total marks= [(1020+1140)/2700]*100= 2160/27= 80% |
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| 45. |
0.7157(h) 0.473ss each of the infinite repeating decimal or mixed recurring decimals in the toould be positive integers.0.8526 (b) 0.4321 (c) 3.012 (d) 1.1234 (e) 0.154.234 (g) 0.389 (h) 0.26 s vo(i) 6.78 |
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Answer» c) is the correct answer d is the correct answer |
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| 46. |
-+1-0and3x+2y-12-0.DU7. Draw the graphs of the equationscoordinates of the vertices of the triangle formed by these hshade the triangular region. |
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| 47. |
A train travels 360 km at a uniform spred If the speed had been 5 km/h more,it would have taken 1 four less for the same journey, Fnd the speed of train. |
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| 48. |
Ql. Define intermolecular force. Write down itstwe preperties |
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Answer» Intermolecular forces are the forcesbetweenmolecules. Properties Oppositely charged bits of molecules attract each other (while bits of molecules of the same charge repel each other). Charges of greater magnitude make for stronger attractive forces. Charged bits of molecules exert stronger attractive forces when they're closer to each other than when they're far away from each other. |
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| 49. |
6. Determine the ratio in which the point (-6, a) dividesthe join of A(-3, 1) and B(-8, 9). Also find the value of a. |
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Answer» tq... |
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| 50. |
Find the distance of the point (6,-8) from the origin |
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Answer» PLEASE LIKE THE SOLUTION |
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