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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. |
simultaneouslyt least number must be subtracted from 1294 so that the remaining number whe11, 13 will leave in each case the same remainder 6?at?8. Wha |
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| 2. |
16. We wish to select 6 persons from 8 persons, but if the person A is chosen, thenBmustchosen. In how many ways can the selection be made? |
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| 3. |
22. दिये गये गुणनखण्ड (3451)1 x (531)43 मेंइकाई का अंक ज्ञात कीजिए।DDD |
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Answer» The answer is 1 as the power of 1 is always 1 1 is the right answer. One's digit will be 1. |
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| 4. |
13-129. Divide the sum ofand5by the product ofand7-3172 |
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| 5. |
g N2 us3 22 3 |
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| 6. |
The side of a square is 10cm.Find the area between inscribed and circumscribed circles of a square |
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Answer» How you find the radius of incircle and circumcircle ?? Plz make me understand Plz reply bro |
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| 7. |
12. Find the area of a square inscribed in a circle of radius x cm. |
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| 8. |
3. lf P[r,y) is equidistant from the points A(7, 2) and B, , express yr te4. Find the median of variates 5, 7, 8, 11, 13, 17 with frequencies 3, 7,7, 12, 13, 10 respectively.t random Fiod the nrobability that the letter chosen is a consonaat. |
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Answer» Given that Variates = 5, 7, 8, 11, 13, 17Frequency = 3, 7, 7, 12, 13, 10 Thusas we knowTotal Number of variates = 6 Thus Center two variates are 8 and 11And Frequencies are 7 and 12So Median = 7+12/ 2 = 19/2 = 95.5 |
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| 9. |
oneweenUnite a difference betweenPyramid and cone. |
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| 10. |
Findt the value of k for which he(ak + 1)x..+2 (kt 1)X.ti has equal Îł0ot. Alsoend he erot s |
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| 11. |
& Which term of the sequence 8-6i,7-4 i, 62 i,urely imaginary? |
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Answer» purely imaginary has Real part = 0 so, A.P of Real part here is 8,7,6,.....0 so, 0 = 8 + (n-1)(-1)=> n-1 = 8=> n = 9 th term |
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| 12. |
5. () Hny terms of the sequence -8,-6,-.,... must be taken, so that their sum is 70.How ma |
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| 13. |
КА, -20 СР ++ y ++res, find the values of x and vIn the given figures, find the valueAD(ii)(1)c/ 1300y50° 85970°BAXХАВCD4700 |
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Answer» a) y= 60 x = 50b) x = 45 y = 45c)x = 40 y = 110Remember a triangle anlways complete with 180° of sums. a) y=60 x=50b)x=45. y=45c) x=40 y =110Remember a triangle.anlways complete.with.280° of sum x is 40 and y is 110 degrees |
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| 14. |
kt anda esca-wasl |
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Answer» slant height=l=25mdiameter=d=14mradius=r=d/2=14/2=7mCSA of cone =π*r*l= 22/7*7*25=550 square meterscost of white washng 100m^2 =Rs210cost of white washing 550 square meters= (550×210)/100=Rs 1155 |
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| 15. |
Res.531 81 317 ? 72/8)(A). 97 (B). 87 (C). 82 (D). 453 |
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Answer» 82 is the correct answer of the question |
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| 16. |
The area of a circle is 220 cm2. Find the area of a square whose vertices are on the circle. |
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Answer» Πr²=220r=√70 cm diagonal of square=2√70 cmby Pythagoras theorem,a²+a²=(2√70)²2a²=4*70a²= 2*70 Therefore, area of the square whose vertices are on the circle= 140 cm² |
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| 17. |
. The area of a circle is 220 cm2. What will be the area of a square inscribed in |
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Answer» I m not able to understand yr |
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| 18. |
bservations -3, 2, 1, 0, 4, 5 occurs with frequencies 3, 4, 2, 1, 5, 2 resd the mean of the data. |
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| 19. |
TE 51 PAPER 2 - MATHSFind the seros of the plynomial 223+5x=12 and verify the relationship bet..ween its zeros and coefficientsGandi2 |
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Answer» what is your question 2x^2+5x-12=2x^2+8x-3x-12= 2x( x+4)-3( x+4)=(2x-3)(x+4); 2x=3; x=3/2; x=-4 |
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| 20. |
res Upof four numbers in A.P. is 4 and their product is 385. Find the numbers |
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Answer» 11/3, -5/3, 9, -7Step-by-step explanation:Let the 4 numbers in A.P bea-3d, a-d, a+d, a+3dthe sum of thse numbers is 4a+d+a-d+a+3d+a-3d =44a=4a=1And the product is 385(a-3d)(a+3d)(a+d)(a-d)=385put a=1(1-3d)(1+3d)(1+d)(1-d)=385(1-9d²)(1-d²)=385(1-d²-9d²+9d⁴)=3859d⁴-10d²-384=0d²=t9t²-10t-384=09t²-64t+54t-384=0t(9t-64)+6(9t-64)=0(t+6)(9t-64)=0t=-6, 64/9d²=td=8/3hence the numbers area=1, d=8/3(a+d), (a-d), (a+3d), (a-3d)11/3 , -5/3 , 9, -7Hope it will help you Read more on Brainly.in - https://brainly.in/question/11950710#readmore |
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| 21. |
1¡The figure shows a relation bet25eEvaluate : in +-,372.Write the negation of the folloFor every real number3.4 Find what the equation. x1) 72 |
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| 22. |
12.(i)Which term of the sequence 8, 12, 16, 20 ,....is 48? |
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| 23. |
If a set has 2 elements then the difference betthe subsets of its powers set and number ofsubset is(1) 2(2) 8(3) 10(4) 12 |
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Answer» 8 is the correct answer plz accept as best 12 is the correct answer plz accept as best 12 is the correct subset 12 is the correct answer of the given question 12 is the correct answer ok 12 is the correct answer |
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| 24. |
In the given figure, CD is a direct common tangent to two circles intersecting each other at A and B,then;15.CAD + <CBD = ?(A) 120째(B) 90째(C) 360째(D) 180째 |
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| 25. |
12. ABCD is a parallelogram in which Z A = 110 and 2 CBD = 30°. Find the measure ofBDC and Z ADB. |
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Answer» Angle BDC is 40 and Angle ADB is 30 |
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| 26. |
Δ ABD and Δ CBD are congruent. Writewhich parts of Δ ABD correspond to Δ CBD. |
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| 27. |
18Prove the identitycos A-sin A+1 =cosec A+ cot AcosA+sin A-1n horizontally 1000-/3 m above the ground is observed at an angiecond, the angle of elevation at t |
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| 28. |
13. The cost of 3 kg of sugar is 7119. Findthe cost of 1- kg of sugar. |
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| 29. |
Qil4 a and Bare the rewed of the plas: an't bure.then find the value of L+ I. |
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Answer» let alpha= p , bita = qax^2+bx+Cp+q= -b/apq= c/a1/p^2+1/q^2=p^2×q^2/p^2q^2= (p+q)^2-2pq÷(pq)^2=(-b/a)^2-2(C/a)÷ c^2/a^2=b^2/a^2-2c/a×a^2/c^2= b^2 let p= alpha q= bitaax^2+bx+Csum of zeros p+q= -b/aproduct of zeros= C/a1/p^2+1/q^2=p^2+q^2/p^2q^2= (p+q)^2-2pq/p^2q^2= b^2/a^2-2c/a÷c^2/a^2= b^2-2ac/a^2×a^2/c^2=b^2-2ac/c^2 |
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| 30. |
2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140from a metal sheet. How many square metres of the sheet are required for the saare required for the san |
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| 31. |
ind the number integerbet ween 1o0 and 1000 whichare mot divisible by Z |
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| 32. |
if x+1 is a factor of 2x³+ax²+2bx+1 and 2a-3b=1.find a and b |
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Answer» thx |
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| 33. |
2,3Find the value of a for which (x +2a) is a factor of (x5 -4a'x +2x+2a+3) |
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| 34. |
5 g of sugar is needed to make a cup of tea. Howmany cups of tea can be made with 1 kg sugar? |
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Answer» 200 cup of tea will be made from 1kg og of sugar |
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| 35. |
(2a+b²)×(2a+b²) |
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| 36. |
1.5 m long. 1.25 m wide and 65 comatde is operied theA plastic box Igoring the thickness of the plas eThe area of the sheet required for making the bor |
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Answer» thanku |
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| 37. |
a+b+x a b x2a+b+2x 2a b 2x |
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Answer» (a) 1/(a+b+x)=1/a + 1/b + 1/x1/(a+b+x)=(bx+ax+ab)/abxabx=abx+a2x+a2b+b2x+abx+ab2+bx2+ax2+abxax2+bx2+a2x+abx+abx+b2x+a2b+ab2=0x2(a+b)+ax(a+b)+bx(a+b)+ab(a+b)=0(a+b)(x2+ax+bx+ab)=0since, a+b!=0so, x2+ax+bx+ab=0x(x+a)+b(x+a)=0(x+a)(x+b)=0x=-a,-b (b)1/2a+b+2x-1/2x = 1/2a+1/b 2x-2a-b-2x/4ax+2bx+4x^2 = 2a+b/2ab - (2a+b)/4ax+2bx+4x^2 = 2a+b/2ab-2ab = 4ax+2bx+4x^2 4x^2+2bx+4ax+2ab = 02x (2x+b)+2a (2x+b) = 0x=-a or -b/2 |
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| 38. |
mot FunchonCornec |
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| 39. |
IfS=(0,1) andT=then finds-2' 2Find T igglog |
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Answer» s = (0,1) and T set has only two points = [1/2,3/2] so S ^ T = [1/2,3/2] |
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| 40. |
ध अधजाए sin 18“valuate ——.N €072 |
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Answer» sin 18/cos 72 = cos(90-18)/cos72= cos72/cos72= 1. Please hit the like button if this helped you |
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| 41. |
gsoo-gurs _ gsoo guis (७(g—o0)ms 0s00 OUIS |
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Answer» Let alpha = A, beta = BLHS: sin A/sin B - cos A/cos B= (sinAcosB - cosAsinB)/ sinB.cosB[ Using sin(x - y) = sinx.cosy - cosx.siny] = sin(A - B) / sinB.cosB= RHS Hence proved |
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| 42. |
2a+b+x 2a b 2x |
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Answer» 1/(2a+b+2x) - 1 / (2x) = 1 / 2a + 1 / b (2x - 2a - b - 2x) / (2x)(2a+b+2x) = (2a + b) / 2ab -(2a + b) / (2x)(2a+b+2x) = (2a + b) / 2ab 2a + b gets cancelled. -2ab = (2x)(2a+b+2x) -2ab = 4ax + 2bx + 4x2 4x2 + 2bx + 4ax + 2ab = 0 2x(2x + b) + 2a(2x + b) = 0 (2x +2a)(2x + b) = 0 2x + 2a = 0 x = - a 2x + b = 0 x = - b / 2 Ans: x = -a , -b/2 |
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| 43. |
7. Solve the following for a.12a+b+ 2x 2a b 2x |
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| 44. |
Eliminate θ from the following equations(/) sin θ + cos θ-a.sin θ._ cose-b |
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| 45. |
c method to solve the following equations:(b) 5 - b / 3 = 2 |
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Answer» b/3 = 5 - 2,b = 3*3 = 9 5-b/3=2;-b/3=2-5=-3;b/3=3;b=9 |
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| 46. |
8. A train covers a distance of 180 km in 4 h 30 m. Find its aver29.speedhigh. How much watertank is 8 m long, 5 m broad and 2 mcontain? |
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Answer» The difference between the distances covered by the two trains in one hour is 15 km. Solution: First train's distance = 180 km Time = 4 hours Speed = 180 / 4 = 45 km/hr Second train's distance = 180 km Time = 4 - 1 = 3 hours Speed = 180 / 3 = 60 km/hr Distance covered by the first train in 1 hour is, Distance = 45 * 1 = 45 km Distance covered by the second train in 1 hour is, Distance = 60 * 1 = 60 km Difference between the distances = 60 - 45 = 15 km Hence the difference between the distances covered by the two trains in one hour is 15 km. |
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| 47. |
2. Find the value of x in each of the following equations(a) a(x-2a)+b(x-2b) =4abb) a(x-b)-b(x-a)=a^2-b^2 |
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| 48. |
10 similar books are arranged oneon each other. If the volume of one book is 20 cucm find the volume of the collection. |
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Answer» Their are 10 same books with 20cm^3 eachso, volume of 10 books is = 10*20cm^3=200cm^3 |
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| 49. |
Solve the following pair of linear equations for x and y.+a+ba b |
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| 50. |
EXERCISE 13.3Assume Ď, unless stated otherwise.iameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its cusurface area. |
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Answer» Given: Diameter= 10.5 cmRadius (r) = 10.5/2 cm = 5.25 cm Slant height (l) = 10 cm Curved surface area of the cone = (πrl) =(22/7 × 5.25 × 10) =165 cm² Hence, the curved surface area of a cone =165cm² hit like if you find it useful |
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