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. |
A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water itwould contain? |
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Answer» 89.8 Given:Radius of the hemispherical bowl, r = 3.5 cm Formula:Volume of a hemisphere = 2/3 π r3 = 2/3 * 22/7 * (3.5)3 = 89.83 cm3Volume of water in bowl = 89.83 cm .cube |
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| 2. |
if a is equals to 1÷3-√11 b is equals to 1÷a then find a^2- b^2 |
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| 3. |
beA little bugate 1on the previous dayate 135 tiny flies in 5 days. Each day, itate 10 more flies than it didarevious day. How many small flies had the bun caten(a) after three days?(b) after four days?frogate 140 binubuar |
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Answer» In 5 days bug eats 135 fliesIn 1 day bug will eat 135/5 fliesIn 3 days bug will eat 135/5*3Thus after 3 days bug will eat 81 flies In 5 days bug eats 135 fliesIn 1 day bug will eat 135/5 fliesIn 4 days bug will eat 135/5*5 fliesThus after 4 days bug will eat 108 flies RAVI septa route to a party |
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| 4. |
(i) Thirty six point two four |
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Answer» 36 .24is it clearthanks 36.24 is the correct answer of the given The answer in words will be 36.24. 36.24 is the answer thirty six point two four= 36.24 36.24hajajahabajshshshsjsjsj 36.24 is the right answer 36.24 is the right answer 36.24 mathematical expression 36.24 hope this answer will help you. Thank you. 36.24of hope it helpful to you 36.24 is answer of the question 36.24 Please like 👍 36.24 is the mathematical number of the written Thirty six point two four=36.24 36.24. is the right answer 36.24 its mathematical expression. 36.24 is the answer of the given question. 36.24 is the correct answer of the given question 36.24 is the right answer 36.24 is it clearbye 36.24 is the most correct answer |
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| 5. |
04m and n are two odd partive setegeretProve that m?taz Meven bet notdiuirtlete bi |
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Answer» Since m and n are odd positive integers, so let m = 2q + 1 and n = 2p + 1 , •°• m² + n² = ( 2q + 1 )² + ( 2p + 1 )² . = 4( q² + p² ) + 4( q + p ) + 2 . = 4{( q² + p² + q + p )} + 2 . = 4y + 2 , where y = q² + p² + q + p is an integer . •°• q² + p² is even and leaves remainder 2, when divided by 4 that is not divisible by 4. |
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| 6. |
Find 5 geometric means between 1 and 27. |
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Answer» Let the geometric series be 1,a,b,c,d,e,27Let the common ratio be rThen r^6=27=3^3= root 3 ^6Thus r= root 3Therefore the geometric mean between 1 and 27 is root 3, 3, 3 root 3,9, 9 root 3 |
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| 7. |
If three geometric means be inserted betweeu2 and 32, then the third geometric mean will be(A) 8 (B)4 (C) 16 (D) 12 |
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Answer» To find the GM between 2 & 32, first find the common ratio nth = ar^n-1 / a = first term, n = # of terms, r = common ratio 32 = 2r^4 / n = 5, the nth = 32 r^4 = 32/2 = 16 r^4 = 2^4 thus r = 2 The GS is 2, 4, 8, 16, 32 The 3rd GM = 16 |
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| 8. |
If g1,g2, 83 are three geometric means between m and n, then18253 |
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Answer» If g1,g2,g3 are the three geometric means between m and n then, m , g1, g2, g3 & n are in geometric progression. g1/m = g2/g1 = g3/g2 = n/g3 --- (1) ∴ g1/m = n/g3 ∴ g1g3 = mn ---(2) g2/g1 = g3/g2 ∴ g1g3 = g2^2 ---(3) From (2) & (3), g1g3 = g2^2 = mn Please hit a like if you find it useful |
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| 9. |
The volume ofan ice cube is 150cm' lts volume decreased by 23% after an hour. Find thevolume of the remaining ice.ple3: |
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Answer» Total volume =150 cm^3 23% of 150 is = ( 150 / 100) * 23. = 34.5 Remaining volume of ice is 150 - 34.5 = 115.5 cubic centimeter thanks |
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| 10. |
A cuboid has volume four times the volume of a cube whose each edge is 7 m. Findthe volume of the cuboid. |
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| 11. |
3.Acuboidhasvolumefourtimesthevolumeofacubewhoseeachedgeis 7 m. Findthe volume of the cuboid |
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Answer» Volume of cube = ( side) ^3= 7 ^ 3 = 343.Volume of cuboid = 4 x 343 = 1372 |
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| 12. |
The volume of an ice cube is 1 50 cm. Its volume decreased by 23% after an hour. Find thevolume of the remaining ice. |
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Answer» Total volume =150 cm^3 23% of 150 is = ( 150 / 100) * 23. = 34.5 Remaining volume of ice is 150 - 34.5 = 115.5 cubic centimeter |
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| 13. |
How many millimeters are in acentimeter?How many centimeters are in ameter?How many centimeters are in 5meters? |
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Answer» 10 millimeters are in a centimeter 100 centimeters are in a meter 1.1cm=10mm2.1m=100cm3.5m=500cm 10 mm are in a centimeter 10 millimetre are in 1 centimeter 1meter = 100 centimeter 1m = 💯 cm 5m = 5×100 cm = 500 cm 10 millimeters are in centimetre |
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| 14. |
answer thequeshon.and did Anu's mom buy in all?and CD in allanddid Anu's mom buy in all?1. How many152. How manyandin all3. How many moreare there than_ morethan4.How many more are there than |
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Answer» 1. 6+9 = 15 2 10+9 = 19 3. 10-6 = 4 4. 10-9 = 1 |
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| 15. |
EXERCISE 14.4mber of goals were scored by a team in a series of 10 m2, 3, 4,. 5, 0, 1, 3, 3, 4, 3 |
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| 16. |
\frac{1}{a^{2}-b c}+\frac{1}{b^{2}-c a}+\frac{1}{c^{2}-a b}=0 |
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Answer» 1/(a^2-bc ) + 1/(c^2-ab) + 1/(a^2-bc)Put -ac = ab + bc ; -ab = ac+ bc and -bc =ab + acyou get :=(1/(a^2+ab+ac))+(1/(c^2+ac+bc))+(1/(a^2+ab+ac))=(1/a(a+b+c))+(1/b(a+b+c))+(1/c(a+b+c))By taking LCM we get=(ab + bc + ca)/[(a+b+c)(abc)]put, ab+bc+cavalue = 0/[(a+b+c)(abc)] = 0 great |
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| 17. |
69 (a)8 (o)LL (B)SL (v) |
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Answer» 11 ek abhajya sankhya hai kyoki unke factor 11 aur 2 hai B) sahi uttar hai |
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| 18. |
Find the values of the angles x, y, and z in each of the following:刁400k イ250Il |
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| 19. |
के... ace winl e decmal— 25 Feaminate 9 |
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Answer» Like if you find it useful |
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| 20. |
2. Find the supplement of each of the following angles11. In l154°105o87。3.identify which of the following pairs of angles are complementary and whichsupplementary12. F(i)6501150(ii)ⓓ 1120, 68063°,27°i 1120 68° |
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Answer» 2(i)180-105=752(iii)180-154=26 3(iii)112+68=180Supplementary |
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| 21. |
B eL_m.,/—w/?"q’B eCosa = €08 ८55४= ltan |
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Answer» Please like the solution 👍 ✔️ |
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| 22. |
the middle term in the expansion of+2] is 1120, find 'a'. |
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| 23. |
t. (b) 1080(c) 1056t(d) 1120. |
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| 24. |
ABCD is a square of side a unit. Find the length of diagonal AC. |
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Answer» thanks |
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| 25. |
L 08X' (4 सा |
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| 26. |
थी... १15. ४५७] 201 £)- (4000 ~ <08 ते 42067 G |
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Answer» hit like if you find it useful |
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| 27. |
5616 310EXERCISE 10.208 135o 3, choose the correct option and give justification.From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q fromhe centre is 25 cm. The radius of the circle is |
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| 28. |
0.3: 2 2 0,3%4 9e 080.3 x0.32 +0.,3° |
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| 29. |
Ex 1.1.5: A (1, 1), B(-2.3) are two points. If a point P forms a triangle of area 2square unit with A, B then find the locus of P. |
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Answer» answer is 2x+3y-9=0 answer is 2x+3y-9=0 |
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| 30. |
ही. The._covidinnles of pud- hoint &f_ifi; peinls (5, =3) anlsle LB e e - ५ |
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| 31. |
B Sl g s ( 8. (0)9T (&) v W)= urkmrdsdrdrdZ=d (1) =W ok ‘isjig DIt ki "98 |
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Answer» m = - 1, p = 2 p*p*p*p*m*m= 2*2*2*2*-1*-1= 16*1= 16 (B) is correct option |
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| 32. |
2. निम्नलिखित समीकरणों को हल कीजिए : 2(x+4) =12 ०3021d -42+x)=8 e 42-x)=8. e b ० आ . "~ sl \ e |
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Answer» (1) 2(x+4) = 12 2x + 8 = 12 2x = 4 x = 4/2 = 2 (2) 3(n-5) = 21 3n - 15 = 21 3n = 36 n = 36/3 = 12 (3) - 4(2+x) = 8 - 8 - 4x = 8 -4x = 16 x = - 16/4 = - 4 (4) 4(2-x) = 8 8 - 4x = 8 4x = 8-8 4x = 0 x = 0 |
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| 33. |
am amum beTeI1my identifyToke me twe times everAnd odd at hivty sito Yeach ace ntuYou still need four |
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Answer» let no. be x2x+36+4=1002x+40=1002x=60x=30 |
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| 34. |
A box contains2,00,000medicine tabletseach weighing20 mg. What isthe total weightof all thetablets in thebox n gransand inkilograms?2. |
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Answer» total weight of the tablets=2,00,000 x 20mg = 40,00,000 mg -----11 gm = 1000mg thus from 140,00,000/1000= 40,000gm 1 kg = 1000gmthus :40,000/1000= 40kg this is my handwriting |
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| 35. |
Solve the following riddle:I am a numberTell my identityTake me two times overAnd add a thirty sexTo reach a centuryYou still need four |
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Answer» 2x= 60X= 30Thanks x=1000-4-36÷2x=1000-40÷2x=960÷2x=480 30 is the answer because 36 + 4=40 and remaining is 60/2=30 Century = 100Need 4 to reach century = 96 Let the no. be xTwo times over = 2x 2x + 36 + 4 = 1002x + 40 = 1002x = 100 - 402x = 60 x = 60/2 x = 30 correct answer is x= 30 |
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| 36. |
Suw tha: SinCos Awhere A, B and C are angles of sABC2 |
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| 37. |
16.Solve the following riddle:I am a numberTell my identity.Take me two times overAnd add a thirty sixTo reach a centuryYou still need four. |
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Answer» 2x+36+4= 1002x= 60X= 30 2x+36+4=1002x+40=1002x=100-402x=60x=30 30 is ur answer ....... 2x + 36+4=1002x=60x=30 |
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| 38. |
2. If in triangle ABC, a 2, b 1+ 3 andC 60°, then find the value of c. |
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Answer» Use the formula cosC = (a²+b²-c²)/2ab. =>cos(π/3) = (2²+(1+√3)²-c²)/2*2*(1+√3)=> 2+2√3 = 4+1+3+2√3 -c²=> c² = 6=> c = √6 |
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| 39. |
If A, B, C are the interior angles of a triangle ABC. Prove that tan ot A22 |
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| 40. |
A circle has a diameter of 26 units. What is the area of the circle to the nearesthundredth of a square unit? |
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Answer» area of circle = πr^2radius = 14 so area = 22*14*2= 22*28=616 units |
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| 41. |
A box of medicine tablets contains 300000 tabletseach weighing 20 mg. What is the total weight of allthe tablets in the box in grams and in kilograms? |
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| 42. |
The sum of three positive numbers constitutingarithmetic progressioni no 4, tothose numbers respectively. We get a geometricprogression, then the numbers are- |
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Answer» Let a-d,a , a+d are in AP ACCORDING to sum a-d+a+a+d=153a=15a=5the terms will be 5-d,5,5+dwhen 1,4,19 are added to the terms they are in GP5-d+1,5+4,5+d+19 are in GPcommon ratio must be equalthe terms are 6-d,9,24+d9/(6-d)=(24+d)/9cross multiplying we get(6-d)(24+d)=9*9 (6*24+6d-24d-d^2)=81 (144-18d-d^2)=81 d^2+18d=144+81 =225 d^2+18d-225=0 by solving this we get d=8,-26 the numbers may be -3,5,3 or 31,5,-21 given that the sum is 15 so the numbers may not be -3,5,3 so the numbers are 31,5,-21 |
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| 43. |
InABC, 2 ABC45", < ACD130°, B-C-D. Find < BAC.45°130° |
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Answer» 45°+angle BAC=130°(exterior angle)angle BAC=130-45=85° |
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| 44. |
2 ,s, and s, are the sum of first n, 2n and 3n terms of a geometric series respectivelye prove that S_{1}\left(S_{3}-S_{2}\right)=\left(S_{2}-S_{1}\right)^{2} |
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| 45. |
Find four numbers forming a geometric progression in which the third term isgreater than the first term by 9, and the second term is greater than the 4h by 18.1t ms of a GP, are a, b and c, respectively. Prove that |
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| 46. |
A+ BIn a Î ABC, write tan-3in term of angle C, where A,BC are interior angles of Î ABC2 |
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| 47. |
Example-12. If A, B and C are interior angles of triangle ABC, then shoywB+CSinCOS22triangle ABC then |
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| 48. |
B+In a triangle ABC, write cos)b+c/2)in terms of angle A.2 |
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| 49. |
4. For triangle ABC, show thatA+ B2B+ C2(1) sincos-2(i) tancot-2 |
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| 50. |
Anuj has an equal number ofone-rupee coins. If the total number of coins is 40 and their value isfive-rupee and two-rupee coins does he have?two-rupee and five-rupee coins. He has also some120, how many |
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Answer» Let number of five rupee and two rupee coins be x each Then number of one rupee coins = 40 - 2x As per given condition5*x + 2*x + 1*(40-2x) = 1205x + 2x + 40 - 2x = 1205x = 120 - 40x = 80/5 = 16 Therefore, Number of 5 rupees and 2 rupees coins are 16 of each type |
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