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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. |
(d) parallelogr amS. In the adjoining Fig, AB AC Dand AP is the pbisector of AD prove tha(a) PAC clica and(ii) ABCP is parallelogram6. Prove that if ach pair of opposite angles of a quadrilateral is equal, then it i |
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| 2. |
What is the mathematical expression of pH? |
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| 3. |
7. A bus covers a certain distance in 3 hours 20 minutes at an average speed of 45 km/. Howlong will it take to cover the same distance at a speed of 36 km/h? |
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| 4. |
les than the hime.e and together can tinishtakes G dtaken bu tb a pieceo cooxboth A andunti daysto nish |
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| 5. |
. Let* be a binary operation in Z defined by a b ab +1. Then * is(A) commutative but not associative (B) associative but not commutative(C) neither commutative nor associative (D) both commutative and associative |
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| 6. |
z - v z \div \nabla l \times 8 |
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| 7. |
\int ( v i i ) - 3 ^ { 4 } - ( \sqrt { 2 } ) ^ { 0 } \times ( - 3 ) ^ { 6 } \div 9 |
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Answer» -3⁴-1*(-3)^6÷9 = -81 - 1*(-3⁴) = -81 - 81 = -162 haa ab sahi he |
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| 8. |
fromatowerbUmetrehhigh.The14. An observer is standing 58.5 metre awayelevation from his eye to the top of the tower is 45°. Find the height of observ |
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Answer» Height will be 15 m |
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| 9. |
\left( \frac { 343 } { 8 } \right) ^ { \frac { - 4 } { 3 } } |
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Answer» fuhhlvijgkjjjgjguhhhjhhb.ibhjhghbvhhhbhh bnbbjnb jnnhnbjnghufgb. h nkglnnvnkjjn jb நம் கனவுகள் நிசமாவதும் நிழற்படமாவதும் நம் முயற்சியில் அடங்கியுள்ளது உஒஎஉஒ.ஔஊஃ. வௌவோ ழ ழோ வௌவ. வ லோ ழௌழொறௌறௌ |
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| 10. |
If the time in a clock is 20 min past 2, then find theangle between the hands of the clock. IFT 20131(a) 45°(c) 60°(b) 50°(d) 120° |
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Answer» Time is 2:20. Position of the hands: Hour hand at 2 (nearly).Minute hand at 4Angle between 2 and 4 = (360/12) * (4-2) = 60 degrees Since hour hand turns through ½ degrees in a minute.Angle made by the hour hand in 20 minutes is 10 degrees. Therefore, angle between the hands is 60 degrees - 10 degrees = 50 degrees (b) is correct option |
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| 11. |
(b) SubtractionYou already know that subtraction is not associative for integers, then whoabout rational numbers.Check for yourself.Subtraction is not associative for rational numbers. |
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| 12. |
(b) SubtractionYou already know that subtraction is not associative for integers, then whatabout rational numbers.Check for yourself.suduSubtraction is not associative for rational numbers. |
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| 13. |
12250(1)S (2)12 (3) 7 (4) 17 1) |
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Answer» Those students who are in the intersection of all the three classes therefore the answer is 5 |
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| 14. |
24.Eight people take 10 days to clearpiece of land. How many dayswould 5 people take to clear thesame piece of land?A. 16C. 40B. 4D. 50 |
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Answer» 8 people took 10 days5 people take x daysx=10×8/5x=80/5x=16 days |
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| 15. |
what action does the government take to ensure that all people treated equally? |
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| 16. |
ldots %2B 10/2 %2B 7 %2B 14 %2B 84 |
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Answer» So herea= 7l= 84d= 3.5Sum= n/2(a+l)so 23/2(7+84)23/2*91= 1046.5 NowTn= a+(n-1)d84= 7+(n-1)3.577= 3.5n-3.580.5/3.5= nn= 23 1046.5 is the universal answer....... |
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| 17. |
-18 %2B 84/7 %2B 12 |
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Answer» 6 is the answer of the following 6 the correct answer 84÷7+12-3×6=12+12-3×6=12+12-18=24-18=66 is the correct answer 6 is the correct answer 6 is the right answer |
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| 18. |
7 %2B 10 \frac 1 2 %2B 14 %2B \ldots %2B 84 |
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Answer» a=7a2=10.5a3=14which is an ap sinch a2-a1=a3-a2* a=7 d = a2-à=3.5a.qAn=84a+(n-1)d=84putting values7+(n-1)3.5=84 a= 7l= an= 84d=a2−a1=– 7 = 21/2 – 7 = 7/2d= 7/2 Let 84 be thenthterm of this A.P.l=a(n– 1)d84 = 7+ (n– 1) × 7/277 = (n– 1) × 7/222 =n− 1n= 23 We know that,Sn=n/2 (a+l) Sn= 23/2(7 + 84) = (23×91/2) = 2093/2 Sn=1046 1/2 |
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| 19. |
74+153+51+ |
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Answer» =278 is tha sum of 74+153+51 |
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| 20. |
29/343 |
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Answer» Corect Answer is 0.08463 |
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| 21. |
-30 %2B 10 %2B 84*(4*(85/5)) |
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Answer» 90-30+84(85/20)90-30+84(4.25)90-30+35790-387-297 60+84(17×4)=60+84(68)=60+5712= 5772 |
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| 22. |
Expand log 343 |
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| 23. |
36*z**2 %2B 49*y**2 %2B 84*(y*z) |
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Answer» 49y^2 + 84yz + 36z^2 = (7y)^2 + 2 × (7y) × (6z) + (6z)^2 = (7y + 6z)2 [(a + b)2 = a2 + 2ab + b2] |
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| 24. |
49" +1.7 -(343) 3 prove that5, Te3m 4343 |
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| 25. |
343 |
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| 26. |
18. Find the unit digit in the expression+100!(a) 3(c) 6(b) 4(d) 8 |
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Answer» 1! = 1 2! = 2 3! = 6 4! = 24 5! = 120 Factorials starting from 5! end with digit 0 because they will have at least one 2 and one 5 in their product…So they dont contribute in the last digit.. So, Last digit = 1 + 2 + 6 + 4 +0 =3 |
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| 27. |
what isNumber System) |
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Answer» A number system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. |
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| 28. |
India drew with Pakistan in a hockey match watched by 51.000 spectatorsin the stadium and 40 million television viewers world wide. |
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Answer» world wide viewers is 40051000 |
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| 29. |
हिट + 70 21 Ty +10)+ (p+5)> |
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| 30. |
Muren sncademyo Ashoo Bachani NagarMalad (E)Kandame :-ade :pic :Mst Prasham HarshitV Div. : c Subject : MatiRevision WorksheetIA.Do as directed:1.Rewrite as fractions. Then reduce to ib) 86%a) 25%Write an equivalent fraction with de12 |
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Answer» 25/100=1/4=0.2586/100=43/50 |
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| 31. |
T Ty) बह विकल्पी प्रश्न (04.2? Q)3, 4 एवं 6 का चतुर्थ समानुपाती (8) 8 (७) 10 (८) 12. (6) 24 |
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Answer» 3/4= 6/x24/3= x= 8please like the solution 👍 ✔️ |
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| 32. |
5. दशमलव का प्रयोग कर किग्रा में लिखिए :(a) 2 ग्रा।(b) 100 ग्रा(d) 5 किग्रा 8 ग्रा(e) 26 किग्रा 50 ग्रा(c) 37: |
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Answer» 1kg = 1000g 1g = 1/1000 kg a) 0.002 kg b) 0.1 kg d) 5.008 kg e)26.05 kg |
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| 33. |
SRR ERF ™ T 't"‘A o e कु 1५८० - सादि 5 ore 37 el N‘O*\«s yech olset-3x+p w36दि ली Vet o कै रिज्लिन पे |
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| 34. |
If=12-14122+1to find.utsny ty+ 5 x 4 + = (1 + 1) + 3+ 4.: Pin+ |
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Answer» X+y=√2-1/√2+1+√2+1/√2-1=(√2-1)^2+(√2+1)^2/2-1=2+1-2√2+2+1+2√2=6and xy=1hencex^2+5xy+y^2=(X+y)^2+3xy=6^2+3(1)=36+3=39 |
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| 35. |
& ‘2e 37B 3 |
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Answer» 4/3+11/315/35 is the right 4/3+11/3=15/3=5 is the answer 5 is the right answer 5 is the right answer 4/3+11/315/35 is a correct answer 4/3+11/315/35. ans. 5 is the correct answer 1(1/3) + 3(2/3)= 4/3 +11/3 = 15 / 3 = 5 5 is the correct answer of the given question is 5is the right answer 15/3 is the most correct answer 15/3 is the most correct answer 5 is the correct answer correct answer is 5 4/3+11/315/35 is correct answer. |
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| 36. |
1. The product of two numbers is -If one of4them is-then the other is1055646 |
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| 37. |
(1) -1a 3 (2) 31(3) 173 (4) 1-3. |
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| 38. |
(u) Form the differential equntion representing the family of curvos given by (NCERTwhere a is an arbitrary constant. |
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Answer» Thnx bhai |
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| 39. |
รุ๊の辰命31呵弧可マ·3.3 1 7 4 3+2 5 4 1 8 |
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Answer» tq bhai |
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| 40. |
15. यदि[2 - 5 ]= | 3 2 -4 | हैं तो A- ज्ञात कीजिए। 4' का प्रयोग करके निम्नलिखित|| 1 1 2समीकरण निकाय को हल कीजिए।2r 31-52 - 13x +21-4---5.+}-2---3 |
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| 41. |
(e) 55—-4 o (—37—2) |
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| 42. |
6. Express (15^3)^-16 as a single exponent of 15. |
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Answer» (15)^(-16*3)(15)^-48 |
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| 43. |
Find x in gven higore373712 |
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Answer» in both the sides both are right angle triangles both have 2 sides of 37 and 12 so remaining sides are 35 and 35.so total length of x=35+35=70 |
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| 44. |
In a circular table cover of radius 32 cm, adesign is formed leaving an equilateraltriangle ABC in the middle as shown inFig 12.24. Find the area of the design.10Fig. 1224 |
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Answer» Let ABC be the eq./\and let o be the centre of the circle of r=32cmArea of circle =πr^2=(22/7×32×32)cm2=22528/7 cm2 Draw OM_|_BCNow, /_ BOM= 1/2×120°=60°So,From /\BOM,we haveOM/OB=cos 60°(1/2)i.e., OM= 16 cmAlso, BM/OB= cos60°(1/2)i.e., BM= 16√3 cmBC = 2 BM =32√3 cmHence, area of /\BOC = 1/2 BC .OM=1/2×32√3×16area of /\ ABC = 3× area of /\ BOC= 3×1/2×32√3×16= 768√3 cm^2Area of design= area of O - area of /\ ABC= (22528/7 - 768√3)cm^2 |
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| 45. |
Mental MathsSolve and write the correct numbers in the boxes.(a) 32+4= 37 (b) 63+(c) +8 = 5 (d) 4 tens +8 = |
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Answer» 63÷ 9=7 , 40÷8 =5 , 4 tens ÷ 8 = 5 |
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| 46. |
Replace the ? by the correct Mathematics symbol to make the expression true18 ? 12 ? 4 ? 5 = 59 |
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Answer» 18 * 12 / 4 + 5 = 59 |
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| 47. |
Number system |
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Answer» A number system is a collection of various symbols which are called digits.Example: A binary number system is a system which has a base of two. It means that it has only 2 different symbols that make up its number system. The numbers that are made in Binary Number System are made up of 0 or 1. |
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| 48. |
32% of an audience is children. If there are 512children in the hall, how many people are there inall? |
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Answer» Let total number of people in hall = nGiven,Total number of children in Hall = 512 Then,(32/100)*n = 512n = 512*100/32 = 16*100n = 1600 Therefore total number of people in hall are 1600 |
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| 49. |
3 Find the equation of the ellipse for which e=4/5and whose vertices are(0, ± 10). |
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Answer» by assuming c²⁼a²⁺b² |
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| 50. |
(2) In the general form of the quadratic equation x + 3x - 5. Whatare the values of 'o' and e' |
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Answer» the value of A is1 & b is 3 & c is -5 a=x2 b=3x c=5 x²+3x-5=0 a=1 and b=-5 is right answer hai a = 1,c = -5 this is the values of a and c on comparing to general form value of a=1 c=-5general form ax^2 +bx+c Ko like karo na Verbs you can do to a=1 , c = -5 the correct answer = A=1,C=5 is the best Answer A=1 C=-5 is the best Answer x2+3x=5x2+3x-5=0hence,a=1,b=3,and c= -5 a=1 ,c=-5 is right |
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