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. |
Two six-sided dice are rolled. Find the probability that the sum is 10:a) 1/4b) 1/12c) 1/6d) 1/9 |
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Answer» possibilities of sum 10 are (4,6),(6,4),(5,5) total outcomes are 36 so probability of getting sum 10 is = 3/36 = 1/12 |
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| 2. |
18. A die has its six faces marked 0,1,1,1,6,6. Two suchdice are thrown together and the total score isrecorded.(NCERT Exemplar) |
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Answer» Lets first figure out how many different scores are possible as a combination of both dices are thrown -(0,0) = 0(0,1) = 1(0,6) = 6(1,1) = 2(1,6) = 7(6,6) = 12 To get a score of 7, one dice must show 1 and one dice must show 6.Probability of dice getting 1 = 3/6 = 1/2.Probability of dice getting 6 = 2/6 = 1/3. Thus probability of getting score 7 is =1/2 * 1/3 + 1/2*1/3 = 1/3. Hope this helps. If do, please mark as Brainlist. 4.3 |
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| 3. |
Q11. Two dice are rolled simultaneously. Find the probability that the sums either 10 or more than it. |
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| 4. |
9. Find the square root of 63.52 |
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Answer» 6+5/2(√3)= 10.33square root will be 3.21 |
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| 5. |
s sdun pithos the midleAasm Methed |
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Answer» There is an approach to correctly find the split of the middle term to factor a quadratic equation. And before even we attempt to start factoring a quadratic, we need to check the discriminant of the quadratic b^2 -4ac. If the discriminant is not a perfect square we can not use the factorisation method. The shortcut method is to write the product of first and last term as “PRODUCT OF PRIME FACTORS” |
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| 6. |
4. Determine if the following ratios Torm a proportion. Also, write the midle termsand extreme terms where the ratios forim a proportion.(a) 25 cm: 1 m and40: 160 (b)39 litres:65 litres and 6bottles: 10 bottes(c) 2 kg: 80 kg and 25 g:625 g (d) 200ml :2.5 litre and 4:50 |
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| 7. |
trigonometry formulas |
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| 8. |
Eapurfartfar (Trigonometry)12018 (A)] |
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Answer» 3 tanθ = 3 sinθ✓3 sinθ/cosθ = 3 sinθ ✓3 will cut 3 and sin theta wil be cancelled 1/cosθ = ✓3cosθ = 1/✓3 Squaring on both sides : cos²θ = 1/3. ...... equation (1) 1-sin²θ = 1/3sin²θ = 1 - 1/3sin²θ = 2/3. ....... equation (2) Now, Subtracting equation (1) from (2)... sin²θ - cos²θ = (2/3)² - (1/3)²= 4/9 - 1/9= 3/9= 1/3 ..... Answer please like the solution 👍 ✔️ |
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| 9. |
rn,, ilÂť: vnluron, t'ris a root of the quadrati equationkaMa- |
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Answer» Like my answer if you find it useful! |
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| 10. |
ALL THE FORMULAS of trigonometry |
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| 11. |
sec theta-tan theta=m find all trigonometry ratios |
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Answer» thanx bhai |
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| 12. |
a square piece of paper whose side is rolled to form a cylinder. find the curved surface area of the cylinder so formed. |
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| 13. |
12. A six faced die is so biased that it is twice aso show an odd number as an evennumber when rolled. The probability that thesum of the numbers on the upturned faces iseven when the die is thrown twice is4.2)3)4) |
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Answer» Probability of getting an even number = 1/3Probability of getting an odd number = 2/3since the dice is biased. The sum is even if (even,even) or (odd,odd)[P(even).P(even)] + [P(odd).P(odd)]1/3 * 1/3 + 2/3 * 2/3 = 4/9 + 1/9 = 5/9 (1) is correct option |
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| 14. |
8 : ( 216 ) ^ { 8 } \div ( 6 ) ^ { 2 } |
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| 15. |
: Find the square root of: (0) 729 (ii) 1296 |
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| 16. |
other, findsquare. Also, find the square root of the number so uvana1. The product of two numbers is 1296. If one number is 16 times the othernumbers.from the residents If |
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| 17. |
a square + b square ka sutra |
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Answer» a2+ b2= (a – b)2+ 2ab |
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| 18. |
term.Find the midle term of the A.P. 6, 13,20. 216 |
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| 19. |
INTRODUCTION TO TRIGONOMETRYEXERCISE 8.11. In Δ ABC, right-angled at B, AB-24 cm, BC-7cm Determine:(i) sin A, cos A(ii) sin C, cos C |
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| 20. |
Find square root of 0.7425. |
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| 21. |
FIND SQUAREROOT OF 12321 |
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Answer» Hii 111 is the square root of 12321 |
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| 22. |
SODUCTION TO TRIGONOMETRYEXERCISE 8.1In AABC, right-angled at B, AB 24 cm, BC-7 cm. Determine:6) sin A, cos A(ii) sin C, cos C |
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| 23. |
trigonometry |
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Answer» Trigonometry. The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant , cosine , cotangent , secant , sine , and tangent . |
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| 24. |
a dies is rolled find the probability of picking a composite number in decimal |
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Answer» Total possibilities = 6 E = Event of getting composite number E = { 4, 6} P(E) = 2/6 = 1/3 probability=3/6=1/3=0.33 |
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| 25. |
Find the slope of the line graphed below.54Explanation |
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Answer» Slope = 4 - (-4)/-3 - 0 = 8/-3 |
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| 26. |
A dies is thrown twice and the sum of numbers appearing is observedto be 6. What is the conditional probability that the number 4 hasappeared at least once ? |
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| 27. |
यदि 62x = 1296 है, तो x का मान है- |
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Answer» x=1/2 is the answer of this question 6^2x = 12966^2x = 6^42x = 4x = 4/2x = 2 6^2x=1296; 6^2x=6^4; 2x=4; x=4/2=2 X= 2 is the correct answer of the given question 6^2x=1296=6^42x=4x=4/2=2 correct answer is x = 2 |
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| 28. |
x^4 - 1296 |
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Answer» 36^2=1296hencex^4-1296(x^2)^2-(36)^2=(x^2-36)(x^2+36)=(x-6)(X+6)(x^2+36) |
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| 29. |
296 ) ^ { 0.17 } \times ( 1296 ) ^ { 0.08 } |
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| 30. |
square root 1296 ka |
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Answer» 1296 =2*2*2*2*3*3*3*3=2^4*3^4√1296=√2*2*2*2*3*3*3*3√1296=2*2*3*3√1296=36 36hope you liked it please mark it as like |
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| 31. |
Find tha Square vot of 1296 |
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| 32. |
13. (a)Find square root of 1296. |
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Answer» The square root is 36 the square root is 36 √1296= 36 is the correct |
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| 33. |
9. Find zeroes of 2x2-5x+3.10. If (x-2) is one of the factors of x3-3x2-4x +1 2 find the other zeroes.11, Obain all zeroes of X4-X3-7X2 + X 6 İf 3 and 1 are zeros. |
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| 34. |
1. Represent each of the following numbers on the number line:3252(ii) 1(iv) 234 |
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| 35. |
nto n terms of a sequence is 2n2 +4. Find its mh term. Is thissequence an A.P. 2 |
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| 36. |
NTO TRIGONOMETRYEXERCISE 8.1C, right-angled at B, AB 24 cm, BC-1cm.D4 ABi) sin A, cos A) sin C, cos C |
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| 37. |
(Each question carries three marQ. 11. Simplify 10 - 2 x3+32:25 |
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| 38. |
3.1.The total surface area of a cone whose radius isand slant height 2 is |
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Answer» Given,Radius of cone R = r/2Slant height of cone L = 2l Total surface area of cone= pi*R^2 + pi*R*L= pi*(r/2 * r/2) + pi*r/2*2l= pi*r^2/4 + pi*r*l= pi*r(r/4 + l)= 22/7 r(r/4 + l) |
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| 39. |
5.Check whether the relation R in R defined by R = {(a, b) : asymmetric or transitive.b'} is reflexive, |
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| 40. |
In a parallelogram FIST, find ZSFT, ZOSTand ZSTO.110°359 |
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Answer» In a Parellelogram oppsite sides are parellel then ∠SIF = 60 degree ∠SIF + ∠IFT = 180 degree ( Co interior angles) ∠IFT = 120 degree ∠ITF = ∠TIS = 25 degree ( Alternate angles ) ∠ITF = ∠OTF ( same measure. Anyone can see) if ∠TOF = 110 degree And ∠OTF = 25 degree Sum of the angles of Triangle FOT = 180 degree ( Angle sum property of a triangle) ∠FOT + ∠OTF + ∠OFT = 180 degree 110 degree + 25degree + ∠OFT = 180degree ∠OFT = 180 degree - 135 degree = 45 degree = ∠ SFT We already know ∠IFT = 120 degree and ∠SFT = 45 Degree then ∠IFS = 120 degree - 45 degree = 75 degree ∠IFS = ∠OST ( alternate angles) ∠OST = 75 degree ∠FOT + ∠TOS = 180 degree ( Linear Pair) 110 degree + ∠Tos = 180 degree ∠Tos = 180 - 110 degree ∠Tos = 70 degree ∠TOS + ∠OST + ∠STO = 180 degree ( Angle sum property of a triangle) 70 degree + 75 degree + ∠STO = 180 degree ∠STO + 145 Degree = 180 degree ∠STO = 180 degree - 145 degree = 35 Degree |
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| 41. |
34 e SO R(i) eoet+teteaetes€ ने |
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Answer» 7e the like term is added why are you asking crazy questions |
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| 42. |
>>... D AST कल ५. 34e foimaler of o “,,mm-/mn.(/,. is (et find +wr o] the boolac |
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| 43. |
iv. 2-2-3V. 2'5)Evaluate:3125x 12966561x18751536x1972486x1152343125 x 1296eenHint::6561x1875 3x3x5 Jlfe_(6)a-G)', then find the value ofp (S(6)(5By what number should (3)-1 be multipliethe product as(-6)?By what number shouldbe multipli |
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| 44. |
37. on the number line 3 diesAleft of Zero(3) Right10 left of5 0 Right38 For Rational numbers multipliidentity(A)=L (B) O D39. which of the following is notnumber(A) to (B) 7-0 (o tots time which |
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Answer» 1( a ) 2 (c)3 (c ) 1. A2. C .3. C a,c,c, is the correct answer of the given question. |
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| 45. |
.The productof fist three composite nurmbets is equal to-omposite numbers is equal to |
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Answer» first three composite number are 4,6,8product of this 192 |
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| 46. |
nto tuo parts such that I ofthe fist andof the second are equal23 |
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Answer» please jaldi se send kiya karo |
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| 47. |
27. A cylinder whose height is of its diameter, has the same volume as a sphere of radius 4 cm.Find the radius of the base of the cylinder.11-1 |
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Answer» yes sir my name is David from the following URL multiply your numerator by your demomator then you will. multiply your answer by the 4 cms and then you will have your answer |
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| 48. |
Simplify and express the answer in exponential form (3 15 = 3 10)x3 10 |
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Answer» 3¹⁵÷3¹⁰=3⁵3⁵×3¹⁰=3⁵⁰ |
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| 49. |
28. A cone whose height is half of its radius is melted tofrom a hemi-sphere. Find the ratio of the radius ofthe hemi-sphere to that of cone.a) 1:3b) 4:1c) 1:4d) 1:2 |
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Answer» so after calculation of both volumes it will be 1:4 |
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| 50. |
b) Write the domain and range of the relation R defined on A 0,1.2,3,4,5) by(Score : 2)R={(x,x+3):re A} |
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Answer» R = { (x,x+3) : x from A} A = { 0,1,2,3,4,5} R = {(0,3),(1,4),(2,5)} domain = {0,1,2} Range = {3,4,5} |
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