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. |
(1) (9+8i)â(7i+3) |
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| 2. |
Ex. 6. नीचे के चित्र में ४ का मान ज्ञात करें ।हुन । |
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Answer» answer will be...180-90+70=20 degree 20° is correct answer correct answer is 20 ° correct answer is 20 ° 20° is the correct answer |
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| 3. |
1. Find the cubes of the following numbers(ii) 16(iii) 21(iv) 30 |
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Answer» 8^3=8×8×8=51216^3=16×16×16=409621^3=21×21×21=926130^3=30×30×30=27000 |
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| 4. |
1.Find 'x' in the following figures?6(iv)(111)A30c |
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Answer» 1. i) use angle A + angle B = angle ACDx + 56 = 123x = 123 - 56 = 67° (ii)ans=125 is the answer by angle sum property sum of all the angles =180 |
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| 5. |
formulae forfrustum of right circular cone? |
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| 6. |
Q1. Write the formulae ofArea of parallelogram |
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Answer» The area of a parallelogram is given by the formula Area=b×awherebis the length of any baseais the corresponding altitude |
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| 7. |
Find the formulae of cosA |
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| 8. |
(i) 5襾ー2 히(ii) 1+2iき1 |
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| 9. |
t a LABC in which BC-3.6 crn. AB 5 cm. and AC-54 cm. Draw theperpendicular bisector of the side BC |
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| 10. |
a-tib4. If x-w-/--prove that x2 + yz-c2 + d25.Convert the following in the polar form:1+7i1+3i1-2i(2-1)(ii) 3 |
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| 11. |
1. Express each of the following in the form (a + ib) and find its conjugate:(2-i)(1-2i)(ii) (2+302(iii)(4+3i)()( 02 ( ()21(iv)+301+2i2+1 |
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| 12. |
23 In what time will 15625 amount to 17576 at 4% per annum compound interest?what timo will1500 yieldă496.50 as compound intorost at 100, nor a |
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| 13. |
₹12000 for 18 months at 12%per annum compound ed half year |
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Answer» P = 12000, R = 12/100, n = 18/12 = 3/2Amount = P(1+R/2)^2 n = 12000(1+.12/2)^3 = 12000(1.06)^3 = 12000(1.19) = 14280 CI = A-P = 14280-12000 = Rs 2280 |
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| 14. |
65. After allowing a discount of 18%, a washingmachine is available for 13489. What is themarked price of the washing machine? |
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Answer» 18 is divided into 13489 |
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| 15. |
17.The value of a machine depreciates every year by 20%. If the present value of the machine be160000, what was its value last year? |
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| 16. |
17. The value of a machine depreciates every year by 20%. If the present value of the machine be160000, what was its value last year? |
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Answer» X= 200000. |
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| 17. |
factorise formulae |
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Answer» Vgvxxxvbvv |
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| 18. |
Why are - and I zeroes of the polynomials p(x) = 4.1 +3.8 - 19 |
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Answer» I don't know the answer 4x^2+3x-1=0; 4(1/4)^2+3(1/4)-1=4/16+3/4-1=1/4+3/4-1=1+3-4/4=4-4/4=0 because when we put that values then p(x) =0 because when we put that values then p(x) =0 |
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| 19. |
Solve the equation foriHOIn given figure Ape and COD are semicircies of diameter 7cm eachand aso are semicireles of diameter 14cm each. Find the perimeter of theshaded region. [ User =17 cmcrn |
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Answer» sale ye bhi nahi ata |
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| 20. |
Whand-1 zeroes of the polynomials p(x) =44x2 + 3x-1?y are |
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Answer» If they are the zeros of the polynomial after putting them we should get a 0so now puttingx= -1(-1)^2*4-3-1= 0now putting X= -1/44*(-1/4)^2+3(-1/4)-14/16-3/4-11/4-1/4= 0hence they are the zeros |
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| 21. |
2. Verify the division algorithm for the polynomialsp(x) = 2x* - 6x +2r-x+2 and g(x) = x+2. |
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| 22. |
Q2) For a material modulus of elasticity is 116 GPa and shear modulus is 45 GPa. Find thevalue of bulk modulus for the material. (M99, 4marks) |
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Answer» Given E = 116 GPa and shear modules G = 45GPa so, G = E/2(1+μ) so, 45=116/2(1+μ) => 90(1+μ) = 116 => 1+μ = 116/90 => μ = 1.2888-1 = 0.28888 now bulk modulus = E/3(1-2μ) = 116/3(1-2*0.2888) = 116/3*0.4222 = 47.89GPa |
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| 23. |
5.52ELEMENTS OF MATHEMATICSAXEXERCISE 5.41. Find the modulusand principal argument of the following complex numbersthem in modulus amplitude form :3ii)) 2i |
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Answer» i) 1+√-3 = 1+ √3i , so modulus is √(1)²+(√3)² = √4 = 2. and argument is ∅ = tan^-1(√3/1) = π/3 ii) 1+i = modulus is √1²+1² = √2. and argument is ∅ = tan^-1(1/1) = π/4 iii) -2i , modulus is 2. and argument is -π/2. |
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| 24. |
7.The area of a rectangular field is 3400 m2 and its length is 68 m. Find(i) its breadthă the distance covered by a man in going 5 times around the field. |
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Answer» Area of a rectangular field is equal to length into breadth. Area =lb 3400=68×b b= 50 m.So the breadth of field is 50 m. For travelling one time completely around the field, distance covered= Perimeterdistance covered in one round =2(l+b) =2(68+50) = 2(118) = 236m So in 5 rounds he travels 236×5 =1180 m. |
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| 25. |
The modulus of _-is |
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| 26. |
The area of a square garden is 8,464 m2. A man takes 3 rounds of this garden. Find the distancecovered by him. |
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Answer» Area = 8464 m²The side of square field = √8464 = 92 mDistance covered in making three rounds = 3 × Perimeter of the square field = 3 × 4 × 92 = 1104 m |
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| 27. |
EXERCISE 5.4I. Find the modulus and principal argument of the following complex numbers and ethem in modulus amplitude form :ii) 2i-1620zu1-(1-i2 |
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Answer» iv) -16/1+i√3. on rationalizing it with 1-√3i we get. -16*(1-√3i)/(1)²+(√3)² = 16(√3i-1)/4 = 4√3i -4. so, the module is √(4√3)² +(4)² =√48+16 = 8. and principal argument is ∅ = tan^-1(-√3) = -π/3. |
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| 28. |
9. If Sagar takes 3 rounds of a square park of side 70m, then what is thedistance travelled by him? |
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| 29. |
The length of rectangular field is twice its breath . A girl jogged around it 4 time and covered a distance of 4.5km What is length of field ? |
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Answer» Length of field = xBreadth of field = x/2 Given4*Perimeter = 4.5 km4*(2*(length + breadth)) = 4.58(x + x/2) = 4.58(3x/2) = 4.5x = 1.5/4 = 1500/4 = 375 m Length of field = 375 m |
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| 30. |
the length of a rectangular field is twice its breath . a girl joked around it 4 times and covered a distance of 4.5 km. What is the length of the field ? |
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| 31. |
Through a rectangular field of sides 120 m x 30 m, two roads are constructed which areparallel to the sides and cut each other at right angles through the centre of the field. Ifthe width of the road is 3 m, find the total area covered by the two roads. |
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| 32. |
13. The length of a rectangular field is twice its breadth. If theperimeter of the field is 288 m, find the dimensions of the field. |
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| 33. |
A set of data has a normal distribution with a mean of50 and a standarddeviation of 8. Find the percent of data within each interval.15. from 42 to 5816. greater than 3417. less than 50 |
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Answer» greater than 34 |
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| 34. |
24. Prove that (x-2), (x + 3) and (x -4) are the factors of the polynomials P(x)x^{3}-3 x^{2}-10 x+24 |
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Answer» for proving this we will put x= 2,(-3),4 in the equation if the answer comes as zero so that means these are the factors of the polynomialso put x= 28-12-20+24=0so this is a factor just like this we will keep doing the same thing and at the end these all three are the factors after putting x= (-3)p(-3) = 0p(4) = 0 as well |
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| 35. |
Find the mode of the following data.Height (In cm) Above 30 Above 40 Above 50 Above 60 Above 70 Above&No. of plants25.3430 219 |
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| 36. |
Find the period of tan 3π |
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Answer» The period of the tangent function isπ. Therefore, the period oftan(3x)isπ/3(3xwill increase byπunits anytimexincreases byπ/3units). |
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| 37. |
हा r bपक -3 LT Wi TR | |
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| 38. |
5S + 3(S )(S2s+5) (Imp.) |
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| 39. |
malaPetherefield. Some are pigs and some are ducks. There are 54 legs in all Howmany of each animal are in the field? |
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| 40. |
Theor gle between the straight lines x2 + 4 y + y®wi(A) 30°1S-(B) 45°60°r |
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Answer» thanks HIT THE LIKE BUTTON IF YOU ARE SATISFIED |
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| 41. |
T R W . SRR SRR . से Vie ?EE ‘8 Lt 81 Blke५८ ६[ ४. 21218 Beb MNblbblx Wig uIs — है 8500 _6 509 * ढक I—Rigjlp 2he ania. का दि 9IS T= |
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| 42. |
11. In each of the following numbers, replace * by the smallest number(1) 27*4(ii) 53 46(iii) 8*711 |
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| 43. |
If 'd' is the diameter of a sphere, then its volume i.24RC3td324 |
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Answer» Ans :- Option (b) is correct. |
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| 44. |
15. Assertion (A) : Median of the given data 34,31,42,43,46,25,39,45,32, is 39.Reason (R) : When the number of observations (n) is even arrange the numbers in the ascendingorder then the median is the mean of the and | n+1 | observations.2a) Both A and R are correct, R is the correct explanation of A.b) Both A and R are correct, R is the not correct explanation of A.c) A is correct, R is wrongd) A is wrong, R is correct |
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Answer» For given question option b is correct As for finding median first we need to arrange observations in ascending order for both odd and even no. Of observations Thus both Assertion and reason is correct, but R is not correct explanation of A |
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| 45. |
LIDAY HOMEWORKATECT : MataTEST: MATHEMATICSCLASS. 8TH A'TEACHER: PANKAT KMwhat is the catione counter 20Eocnicis the followung in standard laim.is the catione Launbei? Gece rocamplesQ24Ecpress - 2 as cleational number having denominaAssange the following sational number inascending in des-0:5Find additive Invesse -is (11-15 i 3 Cine4-6 what should be subtracted lon ge037 The sumotwo sational numbelinyLOL them us 5. Find the otherthe otherenuh literatue doll hous, akidawuch time did the scende studi058_ Radhika readhouse and did nendemathematics forHy hoursEind multiplicative investegcinal numbe Wi-thotelmu |
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Answer» hey bro please give questions one by one and like my answer plzzzzzzzz |
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| 46. |
radius I0LThe circumference of a circle is 616 m. Find its radius and area.rce is 2826 sq. cm. Find its radius. (Take π = 3.14) |
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Answer» Circumference=2πr616 m = 2 × (22/7) × rr= 98mArea = πr^2 = (22/7)(98)^2 m^2 = 30184 m^2 |
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| 47. |
11. Find the 18th and 23rd terms of the A.P., 1,5, 11, ,... |
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| 48. |
IN11. Find ten rational numbers between |
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| 49. |
719° Girl! Out of a group of swans ,-times the square root cf the number are paying on the shore of a tank.The two remaining ones are playing, with amorous fight, in the water. What is the total number of swans? |
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Answer» Let the total no. of swans = xNo. of swans playing on the shore = 7/2 √xRemaining swans = 2A/Q x=7/2 √x+2x-2 = 7/2 √x2(x-2) = 7√x4(x-2)² = 49x4(x²-4x+4) = 49x4x²-65+16 = 0(x-16) (4x -1) = 0x-16 = 0 or 4x-1 = 0x = 16 or x = 1/4Since, the no. of swans cannot be 1/4∴ x = 16The total no.of swans = 16 hit like if you find it useful |
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| 50. |
The radius of a circle is greater than the radius of othercircle by 3 m. The sum of their areas is 89Tt m2. Find theradius of each circie.76 |
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Answer» Area of circle with radius r is given by, Area of circle, A = πr² Let 'r' be the radius of smaller circle, then radius of large circle = r+3 It is given that sum of areas = 89π m^2 To find r Sum of areas = πr² + π(r +3)² = 89π m^2 ⇒ π[r² + (r +3)²] = 89π ⇒ r² + (r +3)² = 89 ⇒ r² + r² + 6r + 9 = 89 ⇒ 2r² + 6r + 9 - 89 = 0 ⇒ 2r² + 6r - 80 = 0 ⇒ r² + 3r - 40 = 0 ----(1) eq(1) is a quadratic equation. Solving we get r = 5 and r = -8 we take +ve values, so r = 5 Therefore radius of smaller circle = 5m And radius of larger circle = r + 3 = 5 = 3 = 8m |
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