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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. |
Son 12'sin 48° sin s4 = |
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Answer» Answer: Let x = sin54 SIN48 sin12 = (1/2) x sin 54 x ( 2 sin48 sin 12 ) We KNOW, 2 sin A sin B =cos(A − B) − cos(A + B) = 1/2 x sin54 x (cos36-cos60) We know, sin( 90 - x ) = cos x and cos 60 = 1/2 =1/2 x cos36 x (cos36-1/2) =1/2 x (cos36)² - 1/4 x cos36 We know, cos² x = 1 + cos 2x =1/4 x (1+cos72) - 1/4 x cos36 =1/4 + (1/4)(cos72-cos36) We know, cos A − cos B = - 2 sin (A + B/ 2) sin (A − B/ 2)
=1/4-1/2 x sin54 x sin18 We know, sin 90-x = cos x =1/4-1/2 x cos36 x sin18 We MULTIPLY both sides with 8cos18 8cos18x = 8cos18 x (1/4-1/2 x cos36 x sin18) 8cos18x = 2cos18 - 4cos36 x sin18 x cos18 We know, sin 2 x =2 sin x cos x
8cos18x = 2cos18 - 2cos36 x sin36 8cos18x= 2cos18-sin72 8cos18x= 2cos18-cos18 8cos18x = cos18 Thus, x=cos18/(8cos18) =1/8
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| 2. |
The difference between two complementary angels is 10° find the angle? |
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Answer» Answer: and second angle be y complementary angles have SUM 90° x+y=90. 1 x-y=10. 2 2x=100 x=100/2 x=50 and second angle=50+y=90 =y=90-50 =y=40 angle are 50°,40° |
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| 3. |
Show that any positive odd integer is of the form 6q+1, or 69 +3, or 6q+5, where q issome integer. |
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Answer» PLS MARK as BRAINLIEST |
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| 5. |
Derive the sum of the squares of first n natural numbers |
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Answer» 2,4,6,81012,14,16,18,20 |
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| 6. |
Verify a-(-b)=a+b, ifa=21,b=18 |
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Answer» Step-by-step explanation: a-(-b)=a+b a=21 b=18 21-(-18)=21+18 21+18=21+18 39=39 Hence Proved Hope it will be help you |
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| 7. |
1.Write the discriminant of the quadratic equation (x+5)2=2(5x-3). |
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Answer» Step-by-step EXPLANATION: Solution is given in above PIC |
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| 8. |
2A rectangular sheet of paper is 12-5 cm long and 10cm wide.Find its perimeter. |
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Answer» Answer: PERIMETER OF A RECTANGLE IS 2( l+b) LENGTH= 12.5 cm Breadth= 10 cm applying in the FORMULA: 2( 12.5+10) = 2( 22.5) Perimeter = 45 cm |
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| 9. |
Largest six digit number is even number is |
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Answer» Step-by-step explanation: |
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| 10. |
which of the following. are sets. the collection all rivers in india. thr collection of good hockey players |
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Answer» I don't UNDERSTAND your QUESTION please write it properly |
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| 11. |
1+4+7+...(3n-2)=n(3n-1)/2 |
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Answer» PLEASE MARK as BRAINLIEST |
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| 12. |
The sum of four consecutive odd numbers is 368 find the number? |
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Answer» Answer: Let the four digits no.be x + 1 + x + 1 + x + 1+ x + 1 x + 1 + x + 1 + x + 1+ x + 1 = 368 4x + 4 = 368 4x = 368 - 4 4x = 364 x = 91. 91 + 1,91 + 2 ,91 + 3,91 + 4. 92,93,94,95. hope it helps you Here ,I have x +1 because four consecutive numbers are said. You can do this also 91 + 1 = 92 92 + 1 = 93 93 + 1 = 94 94 + 1 = 95. hope it helps you |
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| 13. |
Represent the followingrationalnumber on a number linei) 8/5 ii) -5/3 iii) 2/7 iv ) 6/5 |
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Answer» your ANSWER is in the ATTACHMENT |
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| 14. |
Solve the following pairs of equations by reducingthem toa pair of linear equation:viii) 1/3x+y +1/3x-y = 3/4 1/2(3x+y) - 1/2(3x-y) = -1/8 |
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Answer» Step-by-step EXPLANATION: |
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| 15. |
Pair offor which value of į cillequations isKX + +39 -K-3, 12x tky=k hadsolution |
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Answer» EQUATIONS is |
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| 16. |
If x>0 and y |
Answer» the answer is THIRD COORDINATE |
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| 17. |
6. The cost of 5 kg apples is 7336. What is the rate of apples per kg |
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Answer» Answer: 1 KG WILL BE X X= 7336/5 X= 1467.2 therefore COST of kg apples is Rs. 1467.2 |
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| 18. |
(a) 4695(c) 4285(b) 4593(d) 438713. 4183, 4388, 4285, 4490, ? ,4592 |
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Answer» the alternate numbers are in series i.e 4183,4285,?......(1) 4388,4490,4592....(2) 4285-4183 =102 4490-4285 = 102 therefore in both series 102 is added. we have to find ? so we need only 1 ST series. 4285+102 = 4387 therefore option (d) is the answer. hope it helps you. |
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| 19. |
Which set is denoted by "W"? |
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Answer» The standard SETS of numbers can be expressed in all the three forms of representation of a SET i.e., statement FORM, ROSTER form, set builder form. Therefore, the set of natural numbers is denoted by N i.e., N = {1, 2, 3, …….} Therefore, the set of whole numbers is denoted by W i.e., W = {0, 1, 2, .......} |
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| 20. |
The ultimate result of divergencetheorem evaluates which one ofthe following?O Field densityO PotentialO Charge and fluxField intensity |
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| 21. |
The sum of three consecutive even numbers is 30. find the number? |
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Answer» Step-by-step explanation: Let the numbers be 2X, 2x+2,2x+4 then 2x+2x+2+2x+4= 30 => 6x+6= 30 => 6x= 30-6 => 6x= 24 =>x = 4 hope it HELPS ✌ |
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| 24. |
Find the sun of a gp 1,-⅓,1/9,-1/27........till nth term |
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Answer» THANKS♡ |
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| 25. |
(6) In a class, 8 students out of 28 have a dog as their pet animal at home, 6 students have acat as their pet animal. 10 students have dog and cat both, then how many students donot have a dog or cat as their pet animal at home ? |
Answer» Question:In a class, 8 students out of 28 have a DOG as their PET animal at home, 6 students have a cat as their pet animal. 10 students have dog and cat both, then how MANY students do not have a dog or cat as their pet animal at home ? Given:
To Find:
Solution:Total students = 28 Students have dog as their pet animal at home = 8 Students have cat as their pet animal = 6 Students have dog & cat both as their pet animal = 10 So, The Students do not have a dog & cat as their pet animal at home (Remaining Students) → 28 - (8 + 6 + 10) → 28 - (24) → 28 - 24 → 4 Hence, the remaining 4 students do not have a dog & cat as their pet animal at home. |
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| 26. |
Gyus plss solve the marked ques and explain at last with few words.....And plss don't post meaning less solution |
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Answer» find the discriminant. =4(-a²-b²+2ab) =-4(a-b)²<0 hence ROOTS are imaginary and not real. i hope this will HELP you!!! |
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| 27. |
Represent the followingrationalnumber onnumber linei) 7/3 ii) -5/3 iii) 2/7 iv) 6/5 |
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Answer» Answer: 1 REPEATING DECIMAL 2.33333... 2 repeating decimal 1.6666.... |
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| 28. |
ОлFind a number such that the ratio ofto the num-2.ber is the same as the ratio of the number to58 |
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| 29. |
Find the square of 84without actually calculation |
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Answer» Answer: identity = (a+b)^2 = a^2+b^2+2ab (80+4)^2 = (80)^2+(4)^2+2(80×4) = 6400+16+640 = 7056 therefore (84)^2 = 7056. |
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| 30. |
128. If tan 02 sin cos efind the value ofcos- O - sin? O/132. |
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Answer» Step-by-step explanation: Answer: \huge \UNDERLINE \BOLD \pink {♡IT'S Shefali ♡:-} \huge{\mathbb{\red{Hello Mate!!}}} \huge\boxed{\fcolorbox{red}{yellow}{answer}} \huge\boxed{\fcolorbox{WHITE}{pink}{thanks:-))}}
He met the kind-hearted person near the shrine. The MAN saw the child in the crowd. ... His shrieks invited the attention of the kind man who lifted him. . |
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| 31. |
Write the co ordinate of point whose cordinate is (1,2) |
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Answer» Step-by-step EXPLANATION: your ANSWER is 2 hope it is HELPFUL......,. |
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| 32. |
Along the diagonal may be 15.24A numbers56AnodigAthree86.DivisAnuI am a three digit number. My tens digit is five more than my ones digit. My hundreds digit iseight less than my tens digit. What number am I?How can you add 8's to get the number 1000?Inc7.A8.Fouris half of five. Is this statement true?09A frog is at the bottom of a well 10 feet deep. He can jump 3 feet, but every time he jumps 3 feet,he falls back 2 feet. How many jumps will he have to make to get out of the well?10. Can you replace the question marks with math's symbols (+,-, I, x) and make the equationtrue.(9 ? 1) ? (7 ? 6) ? (8 ? 4)3Hlagic square so that the sum of the numbers in each row, each column and |
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Answer» Answer: 45 Step-by-step explanation: 45÷55$&%##*=#^*^=#*/=#(64÷£64#*_=#(=^$(_=$_*=$(_=$ |
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| 33. |
Sin inverse x -sin inverse 2x= ±π/3 |
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Answer» Step-by-step EXPLANATION: both SIDES are squareing. |
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| 34. |
If the sum of the toots of the quadratic equation ax^2+bx+c=0 is equal to the sum of the squares of their reciprocals,then prove that 2a^2c=c^2b+b^2a |
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| 35. |
12. 43, ?, 66, 83, 91, 106, 123(a) 58(C) 60(b) 51(d) 56 |
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Answer» ANS was a)58. Step-by-step explanation: 58 was CORRECT Ans. |
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| 36. |
Help me fast pls..... |
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Answer» Answer: 915-364 = 551 789-543= 246 863-241= 622 therefore Answer is 622. you just have to subtract the larger NUMBER from SMALLER ONE. |
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| 37. |
Try arrange 18 Marble in row and find the factor of 18 |
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Answer» Zunshdiszezdhhdbxhxhne |
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| 38. |
Sharmeen nd hemlata both was quarantined for total 46 days ,if hemlata alone only was quarantined for 26 days then find out the no of quarantined days of sharmeen? |
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Answer» Step-by-step explanation: together sharmeen and HEMLATA QUARANTINED =46 days no of days hemlata quarantined =26 days no of days sharmeen quarantined =46 -26=20 days. |
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| 39. |
The point (a,a),(-a,-a)and(-root3a,root3a)are the vertices of triangle .the area of triangle is |
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| 40. |
Class 9th question : Find the values of a and b so that 1 and 2 are the zeroes of the polynomial x³-10x² +ax+b. |
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Answer» Answer: a = 23, b= -14 Step-by-step explanation: this is the answer DUDE , if it is HELPFUL PLEASE FOLLOW me and MARK me down as a brainliest |
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| 41. |
Please solve these two questions.( wrong answer's will be reported) |
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Answer» Step-by-step explanation: 1.rita SAVED =800.90Rs. joy saved=1500.50Rs. money they have in all = 800.90+1500.50 =2301.4Rs. 2.litres of HOME REMEDY she MAKE = 0.8ml+1.5ml+1.5cl+1l =1003.8 |
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| 42. |
15. Compare the place value of the number 7 in 746273 is- *O Greater thanO Less thanO Equal toO None |
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Answer» The answer is GREATER than |
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| 43. |
Find a^2+9/a^2=31 what is the value of a-3/a |
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Answer» a^2+9/a^2=31 a^2+(3/a)^2=31 a^2+(3/a)^2-6=31-6 ADDING and SUBTRACTING 6 on both the SIDES (a-3/a)^2=25 a-3/a=5 Therefore a-3/a=5 |
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| 44. |
Hi all GM \(-ㅂ-)/ ♥ ♥ ♥ |
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Answer» Answer: Let the numbers be x and y where x>y so, x^2 - y^2 = 120.....(1) y^2 = 2 x.....(2) Putting (2) in (1), we get x^2 - 2x = 120 x^2 - 2x - 120 = 0 x^2 - 12x + 10x - 120 = 0 (x-12)(x+10) = 0 So x can be 12 or -10, but we are given that the square of SMALLER number is twice the larger number, therefore the square of any number cant be negative, Thus x cant TAKE value of -10 So x = 12, so y^2 = 2 (12) y^2 = 24 So y = √24 or - √24 y = 2√6 or -2√6 Hence the numbers are 12 and 2√6 or 12 and -2√6 Step-by-step explanation: PLEASE mark me as brainlist |
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| 45. |
Tomorrow's maths HWQ.1) Sharmeen nd hemlata both was quarantined for total 46 days ,if hemlata alone only was quarantined for 26 days then find out the no of quarantined days of sharmeen?Q.2) Sujata studies maths,English and science .if she studies science for two hour of nd she studies english for one and half hour only.find out the study hour of maths of sujata.if she daily studies for 5 hour? |
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Answer» i will give it yesterday Inshallah Step-by-step EXPLANATION: OK BRO plz send big pic of the PICTURE ok bro plz send i will give answer |
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| 46. |
Differentiate with respect x to x |
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Answer» Answer: dy/dx = x^4 - 2x + x^-2 = 4x^3 - 2 - 2x^-3 = 4x^3 - 2/x^3 - 2 = 2 [ 2x^3 - 1/x^3 - 1 ] |
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| 47. |
Solve this ques on the basis of binomial THEOREAM ... pls answer should be explained |
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Answer» EVALUATE 26^(1/2) using BINOMIAL EXPANSION. Refer to the ATTACHEMENT |
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| 48. |
Explain in rough copy ....... |
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Answer» 3×2+3=9 5×4+4=24 7×6+10=52 9×8+33=105 Now LOOK at the extra adding series which are 3,4,10,33 Here is the explanation of this extra adding series 3×1+1=4 4×2+2=10 10×3+3=33 Hence the answer for the series If 3×2=9 5×4=24 7×6=52 Then 9×8=?? Should be 105 |
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| 49. |
The product of 0.002 x 407 0.8=) 0.08=)0.00880 |
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