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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. |
En(1) If A = {a, b, c, d, e}, B = { c, d, e, f }, C = {b, d), D - {a, elwethen which of the following statements are true and which are false ?J (i) C C B (ii) A CD (ii) D C B (iv) D C A (v) B C A (vi) C 5 A(2) Take the set of natural numbers from 1 to 20 as universal set and show set Xand Y using Venn diagram.(i) X = { x | xe N, and 7 < x < 15)(ii) Y = { yly e N, y is prime number from 1 to 20}(3) U = {1, 2, 3, 7, 8, 9, 10, 11, 12}P = {1, 3, 7, 10)then (i) show the sets U, P and P' by Venn diagram. (ii) Verify (P')' = P(4) A ={1, 3, 2, 7} then write any three subsets of A.(5) (i) Write the subset relation between the sets.P is the set of all residents in Pune.M is the set of all residents in Madhya Pradesh.I is the set of all residents in Indore.B is the set of all residents in India,H is the set of all residents in Maharashtra.(ii) Which set can be the universal set for above sets ? |
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| 2. |
2y⁴-3y³+5y-4 divide it in synthetic method |
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Answer» Answer: 2y⁴-3y³+5y-4. |
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| 3. |
(v) (x4 - 3x - 8) ÷ (x + 4) |
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Answer» HOPE this answer VLL be helpful plz make me brainlist Step-by-step explanation: |
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| 4. |
Tha value of sin60cos30 + cos60sin30 is |
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Answer» udvnsbdnrjdhdbdhsisie |
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| 5. |
Define histogram what is histogram |
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Answer» Step-by-step EXPLANATION: hope my helps u☺☺ |
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| 6. |
Jual random if they try independerমাধান করতে পারে, B পারে 60% শতাংশ। যদি তার অন্যপক্ষভাবেমলােভাবে নির্বাচিত একটি অঙ্ক তাদের মধ্য থেকে ন্যূনতম একজন সমাধান করতে পারবে।(b) 23%(a) ১৪(a) %(c) 12//153) Two balanced dice are thrown together. Find the probability of obtaining(i) 4 in both the dice(ii) 2 in one and 5 in the otherদুইটি সমান ছক্কা একসাথে ছোঁড়া হল।(i) 4 উভয় ছক্কার ক্ষেত্রে(ii) 2 একটিতে এবং 5 অপরটিতে পাওয়ার সম্ভাবনা নির্ণয় করাে।35/17/2/ 1/(a)/35/18(b)/ 3/3(c) 365(d)4) Three cards are drawn at random from pack of 52 cards. Find the probabi |
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| 7. |
What do we understand by SSS congruence rule? |
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Answer» Answer: SSS: Side side side. the SSS CONGRUENCE PROVES that three sides of a triangle is equal to three sides of an other triangle then the both triangle are congruent. |
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| 8. |
2.7440(a)(b)-2 Jer87. If x + (1/x) = (V3 + 1)/2, then what is the value of x4 + (1/x^)?afe x + (1/x) = (V3 + 1)/2, a x4 + (1/x4) T T ?(a) (4v3 -1)/4 (b) (4/3 +1)/2 EV (-473-1)/4 (d) (-473-1)/2t is the value of a3 + (1/a)? |
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Answer» Jfdytixihchkcyoiddite dittidttisoystieyodot |
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| 9. |
A river 1.5 m deep and 30 m wide is flowing at the rate of 3 km per hour. The volume of water that runs into the sea per minute is |
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Answer» volume of water PER MINUTE =1.5x30x3000/60 =45x50 =2250 cubic m/minute Step-by-step explanation: hope it helps you... |
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| 10. |
Product of rational numbers is distributive over their |
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Answer» Answer: Distributive PROPERTY says that when we multiply a SUM of VARIABLES by a number equals to the same result when we multiply each variable by the number and then add the products together. Step-by-step explanation: MULTIPLICATION of rational numbers is distributive over addition. Therefore, Multiplication is distributive over addition. (ii) Distributive Property of Multiplication over Subtraction : Multiplication of rational numbers is distributive over subtraction. |
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| 11. |
The radii of the two circle with centre X and Y are 7cm and 4cm respectively. If the distance between their centre is 11 cm, state whether the two circle will intersect or touch each other. |
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Answer» Answer: The radii of the two CIRCLES with centres X and Y are 7 cm and 4cm respectively if the distance between their centres is 11cm, state whether the two circles will intersect or touch each other. |
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| 12. |
A person sells an article at 20% profit. If he bought it for 20% less and sent it for ₹ 5 less then he would have got 25% profit. Find the cost price of that item. |
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Answer» ty5444789p897909uhuvjycgra3trr6y5yfu6d365de5ud75dirydr6jduyc5yx5uc36swyfr68xer ST xd3a 3zWew22222 |
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| 13. |
Solve the following 2la" 14a² +427a2 |
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Answer» Step-by-step explanation: 21×14×14+42×7×7= 6,174 |
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| 14. |
उस बिंदु का नाम बताइए जहां दोनों रेखा pratichhedit करती हूं |
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Answer» QUESTION is not understoodable |
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| 15. |
Solutions of ( x-1)×(x-2)=0 |
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Answer» x-1=0 x=1 x-2=0 x=2 so x=1,2 |
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| 17. |
256864 divided 256457 |
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Answer» Step-by-step explanation: 1.001587010687951 |
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| 18. |
Write 64 as the sum of 8 odd numbers |
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Answer» Answer: 1 ,3,5,7,9,11,13,15, Step-by-step EXPLANATION: |
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| 19. |
4) In 1 hour, a motorboat goes 1 point30 km. How much distance willit cover in 2 hours? *60 kmO 90 kmO 120 km |
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Answer» Answer: |
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| 20. |
SHOW that:(a)V512 x 3/512 x1728 =/768 in brief explanation |
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Answer» Answer: |
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| 21. |
Without actually dividing find which of the following are terminating decimals.I need explanation also1)3/82)21/53)23/2³×5²4)13/255)8/12.56)2/117)7218/3²×5²8)229/4009)13/312510)15/16 |
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Answer» except 6TH all are terminating decimals Step-by-step explanation: if the denominator is in the form of 2^m or 5^n or 2^m×5^n...it is known as terminating decimal I Hope It Will HELP You |
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| 22. |
I want maze activities rational number |
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Answer» Answer: 12344566 Step-by-step explanation: |
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| 23. |
If the third term of a GP is p, then the product of its first 5 terms is |
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Answer» x2 Step-by-step EXPLANATION: |
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| 24. |
A die is thrown 10000 times and a throw of 1 or 2 was obtained 4200 times. On theassumption of random throwing do the data indicate an unbiased die? |
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Answer» if i hurted SOMEONE I am so sorry Step-by-step EXPLANATION: ............. |
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| 27. |
Vedant had Rs 7281372 He spentRs. 245678 to in shares Findthe amount he has Now |
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Answer» 7035694. Step-by-step EXPLANATION: SUBTRACT 7281372 - 245678. then the answer is 7035694. |
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| 28. |
Shalu Sharma ggghjklsaxvnn |
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Answer» huh Step-by-step EXPLANATION: |
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| 29. |
plz solve both the bits plzzzz help me plzzzzzzzzzzzz i have to submit it today only plz solve both the bits |
Answer»
Step-by-step EXPLANATION: |
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| 30. |
19 Three coins are tossed simultaneously 200 times with the followingfrequencies of different outcomes :Outcomes 3 heads 2 heads 1 head No headFrequency23727728If the three coins are simultaneously tossed again, compute the probabilityof 2 heads 1 head and no head. |
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Answer» Answer: 23 72 77 28 Step-by-step EXPLANATION: PLEASE GIVE me a MARK of BRAINLEAST |
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| 31. |
Simplify Using Appropriate Identities (6x2+5y) (6x2-5y) |
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Answer» Step-by-step EXPLANATION: (a+b)2=(a+b)(a-b) |
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| 32. |
Expand ( x - 2/3 ) (x-4/3) |
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Answer» husyheohhwugvskoshjsvi9shvekdiud |
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| 33. |
A man weighs 8 kg more than his son. If the sum of their weight is 138 kg, what is the weight of the man? |
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Answer» A man weighs 8 KG more than his SON. If the sum of their WEIGHT is 138 kg, what is the weight of the man? |
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| 34. |
2. What should be added to 6- to get 15?35 |
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Answer» Answer: 21 Step-by-step explanation: x = 15 + 6 x = 21 |
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| 35. |
Q3. Answer the following(3 x 5 = 15)a)The perimeter of a rectangle is 400 m .If the longer side is 122 m. Find theshorter side |
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Answer» jgehdos SYNDICATED vvy |
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| 36. |
10 decameters are equal to:(A) 2 hectometers (B) 3 hectometers(C) 1 hectometers (D) 4 hectometersno |
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Answer» c) 1 hectometer Step-by-step explanation: 1 decameter is 10m 10 decameter is 100m 100m is 1 hectometer. so 10 DAM = 1hm |
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| 37. |
Find the value of X.......7:X=14:56 |
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Answer» Hey.. here is ur ANSWER... X = 56×7/14 X = 56/2 X = 23 Hope it helps u.. PLEASE mark me as brainliest nd thanks all my ANSWERS... |
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| 38. |
Rams want to cover the floor of a room 5m wide and 8m long by square tiles ,if each of the square tile required to cover the floor of the room |
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Answer» gxg-twpt-uyo............JOIN |
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| 39. |
নগঞ্জ বাজার, আকছেদ ডাক্তারের গলিএ্যাসাইনমেন্টনির্ধারিত কাজসংক্ষিপ্ত প্রশ্ন: a১১. নির্দিষ্ট চতুর্ভুজ আঁকার জন্য কটি স্বতন্ত্র উপাত্ত প্রয়োজন?২. ABC বৃত্তে B, ব্যাস হলে, Z}{{) এর মান কত? |
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Answer» Step-by-step EXPLANATION: MARK as BRAINLEAST FOLLOW ME ♥ |
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| 40. |
WHAT IS THE LENGTH OF EIGHT PIECES OF RIBBON ; EACH OF LENGTH 45 CM |
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Answer» Answer: SORRY my friend I don't KNOW the ANS but if you follow me I will follow you |
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| 41. |
(+9)+4+(-6)+(+3) Integers |
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Answer» Answer: 10 Step-by-step explanation: ⇒ 9 + 4 - 6 + 3 ⇒ 13 - 3 ⇒ 10 |
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| 42. |
If sin A = 1/2 and cos B = 1/2, then A + B = ? |
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Answer» Step-by-step EXPLANATION: Given : SIN A = 1/2 Sin A = 1/2 Sin A = Sin 30° ( according to trigonometric RATIOS ) A = 30° Cos B = 1/2 Cos B = Cos 60° ( according to trigonometric ratios ) B = 60° A+B = 30+60 = 90° |
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| 43. |
What is median of all the factors of 10? |
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Answer» The FACTORS of 10 are 1, 2, 5, and 10. You can also LOOK at this the other way around: if you can multiply two WHOLE NUMBERS to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10. 1 x 10 = 10, so 1 and 10 are also factors of 10. |
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| 44. |
Multiply 48 rondy P |
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Answer» Answer: \LARGE{\bf{\underline{\underline{GIVEN:-}}}} GIVEN:−
\sf \bullet \ \ \dfrac{(1+sinA-cosA)^2}{(1+sinA+cosA)^2}∙ (1+sinA+cosA) 2
(1+sinA−cosA) 2
\LARGE{\bf{\underline{\underline{SOLUTION:-}}}} SOLUTION:−
LHS: \sf \to \dfrac{(1+sinA-cosA)^2}{(1+sinA+cosA)^2}→ (1+sinA+cosA) 2
(1+sinA−cosA) 2
Expand the fractions using . \sf \to \dfrac{(cos^2-2sincos+sin^2-2cos+2sin+1)}{(cos^2+2sincos+sin^2+2cos+2sin+1)}→ (cos 2 +2sincos+sin 2 +2cos+2sin+1) (cos 2 −2sincos+sin 2 −2cos+2sin+1)
Rearrange the terms. \sf \to \dfrac{(cos^2+sin^2-2sincos-2cos+2sin+1)}{(cos^2+sin^2+2sincos+2cos+2sin+1)}→ (cos 2 +sin 2 +2sincos+2cos+2sin+1) (cos 2 +sin 2 −2sincos−2cos+2sin+1)
We know that cos²A+sin²A=1. \sf \to \dfrac{1-2sincos-2cos}{2sin+1}→ 2sin+1 1−2sincos−2cos
Now here, take -2cos common from the numerator and +2cos common from the denominator. \sf \to \dfrac{1-2cos(sin+2)}{2sin+1}→ 2sin+1 1−2cos(sin+2)
Now, rearrange the terms, add 1 and 1 and take 2 common. \to\sf\dfrac{1+1+2sin-2cos}{sin+1}→ sin+1 1+1+2sin−2cos
\to\sf\dfrac{2+2sin-2cos}{sin+1}→ sin+1 2+2sin−2cos
Take 2 common. \to \sf \dfrac{ 2(1+sin) -2cos(sin+1) }{ 2(1+sin) + 2cos(sin +1 ) }→ 2(1+sin)+2cos(sin+1) 2(1+sin)−2cos(sin+1)
Take (1+sin) common. \to \sf \dfrac{ \not{2}\cancel{(1+sin)}(1 - cos) }{\not{2}\cancel{(1+sin )}(1 + cos )}→ 2 (1+sin)
(1+cos) 2 (1+sin)
(1−cos)
\to \sf{\red{\dfrac{1-cosA}{1+cosA} }}→ 1+cosA 1−cosA
LHS=RHS. HENCE PROVED! FUNDAMENTAL TRIGONOMETRIC RATIOS: \begin{gathered} \begin{gathered}\begin{gathered}\BOXED{\substack{\displaystyle \sf sin^2 \theta+cos^2 \theta = 1 \\\\ \displaystyle \sf 1+cot^2 \theta=cosec^2 \theta \\\\ \displaystyle \sf 1+tan^2 \theta=SEC^2 \theta}}\end{gathered}\end{gathered}\end{gathered} sin 2 θ+cos 2 θ=1 1+cot 2 θ=cosec 2 θ 1+tan 2 θ=sec 2 θ
T-RATIOS: \begin{gathered}\begin{gathered}\begin{gathered}\boxed{\boxed{\begin{array}{ |c |c|c|c|c|c|} \bf\angle A & \bf{0}^{ \circ} & \bf{30}^{ \circ} & \bf{45}^{ \circ} & \bf{60}^{ \circ} & \bf{90}^{ \circ} \\ \\ \rm sin A & 0 & \dfrac{1}{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3} }{2} &1 \\ \\ \rm cos \: A & 1 & \dfrac{ \sqrt{3} }{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{1}{2} &0 \\ \\ \rm tan A & 0 & \dfrac{1}{ \sqrt{3} }& 1 & \sqrt{3} & \rm Not \: De fined \\ \\ \rm cosec A & \rm Not \: De fined & 2& \sqrt{2} & \dfrac{2}{ \sqrt{3} } &1 \\ \\ \rm sec A & 1 & \dfrac{2}{ \sqrt{3} }& \sqrt{2} & 2 & \rm Not \: De fined \\ \\ \rm cot A & \rm Not \: De fined & \sqrt{3} & 1 & \dfrac{1}{ \sqrt{3} } & 0 \end{array}}}\end{gathered}\end{gathered}\end{gathered} ∠A sinA cosA tanA cosecA secA cotA
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0 1 0 NotDefined 1 NotDefined
30 ∘
2 1
2 3
3
1
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1
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60 ∘
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90 ∘
1 0 NotDefined 1 NotDefined 0
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| 45. |
(2 + √3) cos x= 1 - sin x solve it by trigonometric formula class 11 please quick |
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Answer» hahhshdjjdjdjzjsgsgdhjdnjdnndnx |
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| 46. |
Find the general solution is f the following defferential equation.p^3-p^2(x^2+xy+y^2)+p(x^3y+x^2y^2+xy^3)-x^3y^3=0 |
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Answer» Step-by-step EXPLANATION: thisthis question the answer was a - 6 in the right answer PLEASE GIVE me thank following and answer SEND a MESSAGE in your box ☑️ |
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| 47. |
Find the rate at Simple interest, at which a sum becomes four times of itself in 15 years. |
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Answer» R = 20% Step-by-step EXPLANATION: Time = 15years Amount = 4xsum = 400 SI = A - P = 400 - 100 = 300 R = SI×100/P×T = 300×100 / 100×15 = 20% p.a |
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| 49. |
22. (x2 – 2x2 + 3x – 1) by (x2 – 2x + 3).24 (302-512 + Aah) by (-5b2 + 3å - 4ab).Solution multiplied |
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| 50. |
Thefind thefollowingmeandataClassIntervalloof 와labour141100-120120 - 140Tyo160-180180-2000866 .ly |
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Answer» MARK as BRAINLEAST FOLLOW ME ♥ |
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