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. |
What is it called when the product of 2 fractions is unity |
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Answer» MUTIPLICATIVE IDENTITY |
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| 2. |
3⁴×4³×7³ by 49×7×2 power 6×3² |
Answer» Answer:ExponentsLet’s start with a REVIEW of the basics.25 = 2 × 2 × 2 × 2 × 2When writing 25, the 2 is the base, and the 5 is the exponent or power.We generally think of multiplication when we see a number with an exponent.With 25, we think of five twos multiplied together.So let’s make a list to practice this way of thinking.22 = 2 × 2 = 423 = 2 × 2 × 2 = 824 = 2 × 2 × 2 × 2 = 1625 = 2 × 2 × 2 × 2 × 2 = 3226 = 2 × 2 × 2 × 2 × 2 × 2 = 6427 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 12828 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 25629 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 512210 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 1024211 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2048212 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 4096213 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 8192214 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 16,384So, obviously, exponents are all about multiplication.Let’s reverse the order of our list.214 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 16,384213 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 8192212 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 4096211 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2048210 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 102429 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 51228 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 25627 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 12826 = 2 × 2 × 2 × 2 × 2 × 2 = 6425 = 2 × 2 × 2 × 2 × 2 = 3224 = 2 × 2 × 2 × 2 = 1623 = 2 × 2 × 2 = 822 = 2 × 2 = 4Now, take a LOOK at the products from the top of the list to the bottom. Instead ofmultiplying by two, we are dividing by 2 to get the next one.So, let’s continue the list by dividing by 2.21 = 220 = 12−1 =122−2 =14Any multiplication pattern, in reverse, becomes a DIVISION pattern.When applying the division pattern to exponents, it proves a few things.1. It shows why a base to the power of 1 is itself.Example: 52 = 2525 ÷ 5 = 5Therefore,= .You can also think of 51as one 5, but that doesn’t help you extend to the power ofzero or NEGATIVE exponents.2. It also shows why bases to the power of 0 equal 1.Example: 52 = 2525 ÷ 5 = 551 = 55 ÷ 5 = 1Therefore,= .*There is an EXCEPTION. If the base is 0, and since you have to use a divisionpattern to get to a base with the power of 0, then you have to divide zero by zero.What do we get when we divide any number by 0? It’s undefined. You cannotdivide by zero. So,= . Not all mathematicians agree with this,but for middle school, this is what we can understand and support with division.3. Any base to the power of a negative exponent is the reciprocal of the samebase to the opposite, positive exponent.Example: 5−2 =12552 = 25Example: 2−3 =1823 = 8 |
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| 3. |
What is the formula of (a+b)(a-b) |
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Answer» Here is your answer Step-by-step EXPLANATION: a²-ab+ab-b² which is a²-b² |
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| 4. |
Write three consecutive whole numbers starting from 4999 |
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Answer» Step-by-step EXPLANATION: ANSWER ::Three consecutive WHOLE numbers starting from 4999 are 4999, 5000, 5001 |
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| 5. |
Rational numbers 3 by 5 +8 by 5 |
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Answer» Answer: Step-by-step explanation: HOPE THIS ANSWER HELPS YOU ✍... PLEASE MARK IT AS BRAINLIEST... |
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| 6. |
Yaar koi to batado. |
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Answer» Answer: do you play garena free FIRE Step-by-step EXPLANATION: I play this is my I'd badboy2912a |
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| 7. |
If alpha and beta are zeroes of polynomial ax^2+bx+c.Find1. alpha^3+beta^32. alpha-beta |
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Answer» α and β are the ZEROES of the polynomial ax² + bx + c. ★ Sum of the zeroes : α + β = -b/a ★ Product of the zeroes : αβ = c/a Case 1 : α³ + β³ [ Given ]
α³ + β³ ⇒ ( α + β ) ( α² + β² - αβ ) α³ + β³ ⇒ ( α + β ) [(α² + β² +2αβ ) - 3αβ ] α³ + β³ ⇒ ( α + β ) [ ( α + β )² - 3αβ ] α³ + β³ ⇒ -b/a [ ( -b/a )² - 3c/a ] α³ + β³ ⇒ -b/a [ b²/a² - 3c/a ] α³ + β³ ⇒ -b/a ( b² -3ac / a² ) α³ + β³ ⇒ -b³ + 3ac / a³ Case 2 : α - β [ Given ] Squaring ,we get ( α - β )² ⇒ ( α + β )² - 4αβ ( α - β )² ⇒ ( α + β )² - 4αβ ★ Putting the values ( α - β )² ⇒ ( -b/a )² - 4 × c/a ( α - β )² ⇒ b²/a² - 4c/a ( α - β )² ⇒ b² - 4ac / a² α - β ⇒ √b² - 4ac / a |
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| 8. |
Plzzz ans it guys If u dnt knw dnt ansFind the value of x in the fig |
Answer» r=30Step-by-step EXPLANATION:p+q+r=180 (ANGLE SUM PROPERTY) 90+60 +r=180 150+r=180 r=180-150 r=30 FOLLOW ME...... |
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| 9. |
52.50=30+[50-9(x+19)/12]*10 |
Answer» OK here is your answer MATE.......52.50=30+(50-9(x+19)*12)*10 first here by bodmass rule..... () bracket first...... I THINK your question I WRONG mate what is this /12 in your question |
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| 10. |
The age of father is 30 years and age of the son is 8 years . In how many years the age of father will be twice the age of son ? |
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Answer» Answer: 14 years Step-by-step EXPLANATION: |
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| 12. |
Answer the above question with steps in proper way? |
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| 13. |
If x1 and x2 satisfythe equation 2^2x-8.2^x+12=0 then find x1+x2 |
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Answer» <P>Answer: Assume that, 2^x = p Then, p^2 - 8p + 12 = 0 p^2 - 2p - 6p + 12 = 0 p ( p - 2 ) - 6 ( p - 2 ) = 0 ( p - 6 ) ( p - 2 ) = 0 p = 6 , 2 now, 2^x1 = 6 and 2^X2 = 2 2^x1 + 2^x2 = 6 + 2 x1 + x2 = 8 Hope that the answer is helpful to you Follow me |
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| 14. |
Solve the following pair of linear equations by any suitable method :x + y = 52x - 3y = 5.ide 11 cmABand Dare the |
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Answer» I don't kno.wn the answer |
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| 15. |
2) 2 consecutive evenno's are such thatchalf of the larger hundercocceeds one fourthof the smaller by 6. Find the numbers. |
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| 16. |
A rope is laid flat on the earth ground all around the earth so that it is covered at both ends the Earth circumference is approximately 40,000 kilometre long if the rope was lifted to one meter above the surface how much more rope would you need to connect it again? |
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Answer» Answer is in the PIC... HOPE THIS HELPS... PLZ MARK BRAINLIEST... |
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| 17. |
Swish Sahu ww hath wwhusussi |
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Answer» Step-by-step explanation: It's SWISH |
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| 19. |
Q.3(b) Expand the following and then simplify as much as possible:a2(2b - a) - a(3b2 - a2) |
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Answer» Example 3 : The irreducible factorisation of 3A3 + 6a is. (a)3a (a2 + 2). (B) 3 (A3 + 2). (c) a (3a2 + 6). (d) 3 × a × a × a + 2 × 3 × a. Solution. : The Step-by-step explanation: |
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| 20. |
Solve the followingQ. 35.25÷15 |
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Answer» Answer: 2.35 is the answer Step-by-step EXPLANATION: |
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| 21. |
a classroom is 21 m long ,14 m wide , 6cm deep ,find the sum of the area of the four walls and it's floor |
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Answer» Answer: The area of four walls is 420 Sq.m and the FLOOR area is 294 Sq.m |
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| 22. |
The difference in the measures of 2 complementary angles is 12°. find the angles |
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Answer» x+y = 90.......(i) x-y = 12........(ii) subtract eq (ii) from eq(i) 2x = 78 x = 39 put the VALUE of x in eq (i) 39+y = 90 y = 90- 39 y = 51 The ANGLES are 39' and 51' |
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| 23. |
Find the quotient and remainder if x3-5x2+8x-4 is divided by x-1 |
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Answer» x-1=0 x=1 put the value x3-8x2+19x-12=0 LHS= 1-8+19-12 =0=RHS Hence x-1 is a factor of the GIVEN EXPRESSION . |
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| 24. |
Symbol for negation is in maths |
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Answer» Answer: Basic logic symbols Symbol Name Category ¬ ˜ ! NEGATION propositional logic Domain of discourse Predicate (MATHEMATICAL logic) ∧ · & logical conjunction propositional logic, BOOLEAN algebra ∨ + ∥ logical (inclusive) disjunction propositional logic, Boolean algebra |
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| 25. |
Write the divisibility rule for 11 and give one example |
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Answer» tuityyrt to tigusfuduyfut the INTENDED RECIPIENT you are not the intended recipient you must not be ABLE and willing Step-by-step explanation: ggfjvvcjjdjdudbdjdndhdjdbdjdhdhhhud the intended recipient you are you are not the intended recipient you are not the intended recipient you are not the intended recipient you are not the intended recipient or an quadratic trinomial and sweet morning u can text me at the u can text me at the intended tight and sweet morning |
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| 26. |
9.a) Find the values of f, and f, the frequency, if the mean of the following frequencydistribution is 21.4 and the total frequency is 40.Class - Interval0-88-1616-2424-3232-40Frequency6f10f,9 |
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Answer» 8,7it is answer for QUESTION . |
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| 27. |
Find the coordinates of the point which divides the line segment joining the points (0, -3) and (8,1) in the ratio 3:1 internally |
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Answer» Answer: your search - FIND the coordinates of the point which divides the line segment joining the POINTS (0, -3) and ... - did not match any documents. Suggestions: Make sure that all WORDS are SPELLED correctly. Try different keywords. Try more general keywords. Try fewer keywords. Step-by-step explanation: |
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| 28. |
9sec-A-9tan'A.कोहलकाजए।016. In the figure below, find the length of side AB |
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Answer» ANSWER We have, 9SEC 2 A−9tan 2 A Let r=9sec 2 A−9tan 2 A r=9(sec 2 A−tan 2 A) We know that sec 2 A−tan 2 A=1 Therefore, r=9×1=9 Hence, this is the answer. |
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| 29. |
(Hint: Study them) 0.001Express the following in the form where p and q are integers and cam) 0.47 |
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Answer» PLEASE FOLLOW please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please Step-by-step EXPLANATION: please follow please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please |
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| 30. |
Choose the correct answer and explainIf a and b are two consecutive natural numbers and a > b , then a²– b² is equal to A) a + bB) a - bC) a × bD) a ÷ b |
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Answer» A.a+b is the RIGHT answer |
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| 31. |
The angel of quadrilateral are respectively 100°98°92°find the fourth angle |
Answer» ANSWER :
Explanation :We are given with the three angles of a quadrilateral, that is, We have to find out the fourth angle of a quadrilateral. ⠀_________________________Now, Let us assume that, the fourth angle of a quadrilateral is "x" We know that, if we are given with the three angles of a quadrilateral then we have the required formula, that is, ⠀ ⠀ → The sum of all four angles of a quadrilateral is 360°. This statement is known as 'angle sum property of a quadrilateral'. ⠀ ⠀ Substituting the given VALUES in the formula, ⇒ 100 + 98 + 92 + x = 360 ⇒ 198 + 92 + x = 360 ⇒ 290 + x = 360 ⇒ x = 360 - 290 ⇒ x = 70 Hence, the fourth angle of a quadrilateral is 70°. |
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| 32. |
Dividing the numerator and thedenominator of a rational numberby theirreduces it to itssimplest form.i. multipleii. LCM11i. HCFiv. 1 |
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Answer» Answer: YES u are right plz MARK as brain LIST have a GREAT day ♥️ |
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| 33. |
Sin²A + cos²A = ___ |
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Answer» Step-by-step explanation: 111111111111111111111111111111111111111111111111111111 |
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| 34. |
11. The opposite side of a trapezium are parallel.a. True b. false c. true or falsed. none of these |
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Answer» Step-by-step EXPLANATION: B} false |
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| 35. |
Divide: 3x2+12x3+4x+1 by 4x+1 |
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Answer» Step-by-step EXPLANATION: vf15000000000000+20345867000000 |
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| 36. |
which mathematician gives world first proof in geometry of a statement "A circle is bisected by its diameter"? |
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Answer» vrfvgtbyhnujmrq3werfg45vvgv5fgthhy aedasgrhytfbh Step-by-step Step-by-step EXPLANATION:dgdutshdvhvbghfta |
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| 37. |
If tan A = 15/7, find the value of cosec A + cot A please give ans fast |
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Answer» Given that A + B = 90° : - A = 90 - B. Now, sec A = 15 7 → sec(90 - B) + COSECB = 15 7 PRICING | 15 7 [: sec(90 - 0) = cos cos] = |
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| 38. |
(x+1);(x+2);(x+3) find the continued product |
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Answer» (X+4) Step-by-step explanation: 3+1=4 so (x+ 3+1) =( x+4) |
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| 39. |
--316+5 5x+2ug 2x-2y3 +7 = -6x+2y=0, x-2yzox+2y x-2y |
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Answer» iuvouzydzufx8ydoud86ry9 |
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| 40. |
Prove that equal chords of a circle subtend equal angle at the centre. |
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Answer» rfvgtbyhnujmrq3werfg45vvgv5fgthhy Step-by-step Step-by-step EXPLANATION: |
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| 41. |
1. The following frequency distribution table gives the ages of 200 patients treated in ahospital in a week. Find the mode of ages of the patients.Age ( years ) Less than 5 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29No. of Patients 38 32 50 36 24 20 |
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Answer» REFER the ATTACHMENT above |
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| 42. |
If A={1,2,3,4}, B={x : x is a whole number, 4 < x < 9 }, C= {x : x is a natural number, x < 9}. Find the following:. Single line text.(3 Points) |
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Answer» igcitct8x8tx8tx8tx9td6966tx47,yer8xrz77/-7=-7=-7/'is d4a7a3a38ts9ts8st9dt9td9ydc9yd7sti596e95si5sud7sti596e95ud7sti596e95si5su4s95gs8ys8tx8tt5d8td8td8td8td85d85dz9txitz9t9tzits955s85s95ssi5su4s95z9txitz 5e656.58.48.ku can KR ⅞88dt8td7rzr78rx |
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| 43. |
6x^2+17x+3 facter with spelling middle term and factor therom |
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Answer» HII brooo How are you?? |
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| 44. |
Simplify the following expansion (√3+√2)² |
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Answer» Simplify the following expression –
✯ This expression can be easily SOLVED by the SUITABLE algebraic IDENTITY – ⠀⠀⠀⠀⠀⠀⠀⠀⠀ So, simplifying it we GET, - ∴ (√3+√2)² = 5+ 2√6 ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀✨HOPE IT HELPS✨ |
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| 45. |
If any rational number is multiplied by 1, then the product is_ |
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| 46. |
deck of well shuffled 52 cards a card is chosen at random. find the probability of getting a)a black face card and b)an ace of black suit |
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Answer» Answer: probability = Number of favourable outcomes/ Total number of outcomes. HENCE, the probability that the card DRAWN is BLACK FACE card 3/26 Step-by-step EXPLANATION: |
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| 47. |
Question 3*3 MarksAt an auction a company sells 150 television sets for anaverage of $65 each. The production cost was $10 000.How much loss did the company make?Mathematics |
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Answer» Answer: |
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| 48. |
In D ABC, AC= 5, BC = 13, m angle a = 90degreetrigonometric ratios of angleB. |
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Answer» SORRY I don't know trigonometry because I am in STANDARD 8 Step-by-step explanation: please like my answer |
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| 49. |
Detect the error in the following question.The angle of elevation of the top of a lighthouse from a point 15 m away from it is 60.On walking 5 m towards it, the angle of elevation was found to be 30. Find the heightof the lighthouse.Suggest appropriate changes. |
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Answer» Answer: As we will MOVE towards it, the base length will decrease which will increase the angle and elevation; so INITIALLY angle of elevation cant be greater than that FORMED after moving. Changes: the angles 30 and 60 can be interchanged. Hope it helps.. |
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