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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. |
2. Starting from the greatest 6-digit number, write the previous five numbedescending order |
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Answer» greater 6 digit number is 999999so,999998,999997,999996,999995,999994 |
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| 2. |
The sum of the digits of a 2-digit number is 11. The number obtaininterchanging the digits exceeds the original number by 27. Find the numbe |
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| 3. |
1Fial the capacity in litres of a conical vessel with0 ndus 7 om, slant height 25 cm ) heigh 12 cm, siant height 13 cm |
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| 4. |
drtsm.If the radius and slant height of a cone are r/2 and 21. Then find its totalsurface area. |
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Answer» thanks |
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| 5. |
8. The speeds of Trains A and B differ by 15 km/h. Train A covers a distance in 4hours, which is covered by the Train B in 3 hours. Calculate the speed of each traоо |
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| 6. |
Inthe adjoining figure, TP and TQ are tangents to the circle with centre o10rand zPOT 55°. Find the Measure of zPTQ11. Write Euclid Division Lemma. |
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Answer» According toEuclid's Division Lemmaif we have two positive integers a and b, then there exist unique integers q and r which satisfies the condition a = bq + r where 0 ≤ r ≤ b. The basis of theEuclidean division algorithmisEuclid's division lemma. |
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| 7. |
1 write Euclid"s division lemma write the range of r in the lemma |
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Answer» a=bq+r 0<=r<b is the correct answer |
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| 8. |
\begin { equation } \sqrt{\frac{1+\cos 30^{\circ}}{1-\cos 30^{\circ}}} \end { equation } |
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| 9. |
\begin { equation } \sin 60^{\circ} \cos 30^{\circ}+\sin 30^{\circ} \cos 60^{\circ} \end { equation } |
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Answer» sin60cos30 + sin30cos60= (3½/2)(3½/2) + (1/2)(1/2)= 3/4 + 1/4= 4/4= 1. Please hit the like button below sin 60.cos 30 + sin 30.cos 60 We know [cos a = sin (90-a)] and [sin a = cos (90-a)] = sin60.sin (90-30) + cos(90-30).cos 60= sin^2 60 + cos^2 60= 1 |
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| 10. |
Find the HCF of 148 & 124 by Euclid div. algorit |
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Answer» By using Euclid 's division algorithm 148 = 124×1 + 24 124 = 24×5 + 4 24 = 4×6 + 0. Hence 4 is the HCF Like my answer if you find it useful! |
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| 11. |
Using Euclid division algorithm, find the HCF of 4052 and 12576. |
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Answer» 12576>4052 by euclid division alogrinthm 12576=4052*3 +420 4052=420*9+272 420=272*1+148 272=148*1+124 148=124*1+24 124=24*5+4 24=4*6+0 as the process stops . so our HCF is 4 Like y answer if you find it useful! |
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| 12. |
Find HCF by using Euclid 's algorithm of 4052 and 12576 |
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Answer» Using Euclid's algorithm :- 12576 > 4052 4052) 12576 ( 3 12156 ---------- 420) 4052 ( 9 3780 ---------- 272 ) 420( 1 272 ------ 148 ) 272 ( 1 148 ------ 124 ) 148 ( 1 124 ----- 24) 124 ( 5 120 ----- 4 ) 24 (6 24 ---- 0 → Hence the H.C.F of4052 and 12576 is 4 |
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| 13. |
300 cu cm. Also find the surface area of the cubold.auditorium is of length 20 m, breadth 14 m and height 6 m. If a person requires 7 m of air,iiuno 2 om 4 m and 5 cm. Find the edgefind the number of persons that can be accommodated in the room |
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Answer» First find volume of hallHence volume will be lbh=20*14*6=1680m^3Amount of air for one person=7m^3Hence number of people=1680/7=240people |
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| 14. |
3) 90what is the total surface area of a cone having base radius 14 cm. and slantheight 21 om?(4) 115 |
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| 15. |
29. The diameter of a cylinder is 14 cm and its curved surface area is 220cm2.the volume ofthe cylinder is3622 om 3 |
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| 16. |
3A train starting from a railumoving with uniformacceleration attains a spee40 km h in 10 minutes. Find itsacceleration. |
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| 17. |
find the cube root of 32768 |
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Answer» 32 is the cube root of 32768 Your correct answer is 32 the cube root of 32768 is 32 32 is the correct answer of the following question 32 is the right answer. 32 is the best answer 32 is the right answer |
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| 18. |
(a)/(0) (b)JC-2) (c)12. Solve the equation\frac{16}{1+2 e^{-2 x}}=10 |
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Answer» thx which class you are start ? sorry study not start ok i am in class 12th |
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| 19. |
In thee given figure, ABICD and EF| GH. Find the values of x, y, z a110°60° |
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| 20. |
2. Guess the cube root of the perfect cube 32768 without factorization |
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Answer» 32768. This number is between 27000 (30^3) and 64000 (40^3). The first digit is 8, which is the cube value of 2. The answer is 32. that answer is 1237608231 bkansksnsosnsjdkdbdjsis 32 is the only answer |
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| 21. |
You are told that 1331 is a perfect cube. Can you guess without factorization what is its cube root similarly guess the cube roots of 4913, 12167,32768 |
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| 22. |
what331 is a perfect cube. Can you guess withoutis its cube root? Similarly, guess the cube roots of 4913, 12167factorisation8. You are told that 1, |
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| 23. |
oiBdgitnumber may be a singie dBi1 is a perfect cube. Can you guess without factorisation what3.You are told that 1,33is its cube root? Similarly, guess the cube roots of491 3, 120 67, 32768. |
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| 24. |
you are told that 1,331 is a perfect cube can you guess with out factrisation what is its cube root? similarly,guess the cube roots of4913,12167,32768. |
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| 25. |
3 You are told that 1.331 is a perfect cube. Can you guess withoil tactulis its cube root? Similarly, guess the cube roots of 491 3 , l 2167 , 327 68. |
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| 26. |
8. Guess the cube root of the following numbers.(i) 6859(ii) 12167(iii)32768 |
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Answer» Like if you find it useful |
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| 27. |
6. A number consists of two digits whose sum is 9. If 27 is subtracted from the number,diarite are reversed. Find the numbertonth |
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| 28. |
6. Find 4 numbers in A.P whose sum is 50 and greatest number is 4 times the smallestnumber |
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Answer» a+(5-1)d=a5a+4d=5*a5a-a=4d4a=4da=dn/2[a+(5-1)d]=505/2(5a)=5025a=100a=4then a=d=4nbers are 4,8,12,16,20 |
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| 29. |
find number of terms whose Ap is 16+14+12+.....is-6 |
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| 30. |
ed buys a plot of land lor < 480000. He sells 5。should he sell the remaining part of the plot to gain 10% on the whole?A grocer bought sugar worth ofper cent must the remaining sugar be sold to have a gain of 12% on the whole?344500. He sold one-third of it at again of 10%. At what gain |
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Answer» Thanks but can't under stand from where 540 cone in last second rule |
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| 31. |
and the number of sides of a regular polygon whoseson whose each interior angle is of 135°Find the number |
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| 32. |
One litre of water is evaporated from 6 litres of sugar solution contaSulution.the remaining solution.16 litres of sugar solution containing 10% of sugar. Find the % of sugar in |
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Answer» udkgofuduckhdufudidvudufkgif One litre of water is evaporated from 6 litres of a solution containing 5% saltQuantity of salt in 6L of sea water,= (6*5)/100 = 0.30Percentage of salt in 5L of sea water,= (0.30*100)/5 = 6% |
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| 33. |
gm of sugar solution has30% sugar in it. Then thequantity of sugar that should beadded to the solution to makethe quantity of the sugar 70%in the solution is |
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| 34. |
The price of sugar is increased by 20%. Bywhat percent must the consumption of sugarbe decreased so that the expenditure onsugar may remain the same? |
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| 35. |
5Expressas a rational number whose:19(i)numerator =-20(ii) denominator=-95128 as a rational number whose:2072(ii) denominator- -296(i) numerator = 161Express each of the following rational numbers in standard form:252-1827-78208175-325-70(iv)90 |
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| 36. |
Find the number whose 13% is 65. |
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| 37. |
2. Find the number whose 6% is 20. |
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Answer» 6 1/4. ×. X= 2025/4 x =2X =20×25/4= 4×25=100ans 💯 =100 6(1/4)× x =20; 25/4 x = 20; x = 20/1+ 25/4= = 4 x 25 = 100= x=100 is the correct answer 100 is right answer of this question. please like my answer |
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| 38. |
(a) Find the number whose cube is 1728. |
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| 39. |
Pirst let us write sine in moltiple |
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Answer» Sin^4 x in multipicationwill besinx sinx sinx sinx thanks |
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| 40. |
lfsin θ=, then let us write the value of mby determi |
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Answer» sin theta = 4 / 5 hence cosec theta = 5/4 & cot theta = ¾ now cosec theta / (1+ cot theta)) = (5/4) / (1+3/4) = (5/4) / (7/4) = 5/7 Liked your style of doing maths |
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| 41. |
3. To start a business Shalaka has taken a loan of 28000 at a rate of 10 penAfter two years how much compound interest will she have to pay? |
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Answer» hit like if you find it useful |
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| 42. |
let us write what should be multiplied with 2√2 to get product 4. |
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Answer» 1√2 is the answer. when we multiply 2√2 to 1√2 to get 4 |
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| 43. |
)Let us write what should be subtracted from 7-3 to get 3+V3 |
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| 44. |
se Euclid's division lemma to show that the cube of any positive integer is of the form,9m+1 or 9m + 8. |
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| 45. |
6. (a) Let us write what should be added with 5+3 to get the sum2/5. |
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Answer» Let x should be added Then,sqrt(5) + sqrt(3) + x = 2sqrt(5)x = 2sqrt(5) - sqrt(5) - sqrt(3)x = sqrt(5) - sqrt(3) Therefore,[sqrt(5) - sqrt(3)] should be added ok |
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| 46. |
In a chess tournament, where the participants were to play one gäme with ahe 108ellill having played 3 games each. Ifthe total number of games played is 84, the number oft the begining wase with anothe. 1wOe4)15(B) 16(C) 20(D) 21 |
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| 47. |
Diagram of the adjacent picture frame hasouter dimensions are cm × 28 cm and innerdimensions 16 cm × 20 cm. Find the area ofeach section of the frame, if the width ofeach section is same.28 cm16 cm24 cm |
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| 48. |
3)NaturalnumbesDecimal representation ofis283y |
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Answer» =7/28 = 0.25 |
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| 49. |
10. State euclid division lemma.I1. Find the midpoint of the linesegment joining the points P 3.4 and Q 15.-2) |
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Answer» 10.Euclid’s division lemma: Euclid’s division lemma, states that for any two positive integers ‘a’ and ‘b’ we can find two whole numbers ‘q’ and ‘r’ such that a = b × q + r where 0 ≤ r < b. 11. Like if you find it useful |
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| 50. |
A numbes is divided into buwo pay tsSuch that one por is lo more hothe other 1If the two parts ovem the Yatio 53,find the numkyolnde two pay |
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Answer» Let the first part be 5xthen the second part will be 3xit is clear that 3x will b small no. it is also given thatnumber is divided into two parts such that one part is 10 more than the otherso,acc. to ques.,5x = 3x + 105x-3x=102x=10x=10/2x=5now first no. is 5x5(5)25 and second no. is 3x3(5)15 now the no. is 15+25=40 |
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