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. |
Solve for x in : x-a/b=x+a/b+a |
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Answer» The VALUE of x is 1+b+a. Step-by-step explanation: Please MARK as BRAIN list.Please Please |
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| 2. |
If a² - 3a -1 = 0 then find a² + 1/a² |
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Answer» a² - 1 = 3a (a² - 1)/a = 3a/a. {DIVIDING the equation by a} a - 1/a = 3 a² + 1/a² - 2 = (a-1/a)² a² + 1/a² - 2 = (3)² a² + 1/a² - 2 = 9 a² + 1/a² = 11 |
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| 3. |
Find the sum of the square of first 11 natural numbers |
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Answer» Step-by-step explanation: Sum of squares of first 11 NATURAL numbers n ( n + 1 ) ( 2n + 1 ) S = ------------------------ 6 11 ( 11 + 1 ) ( 22 + 1 ) = ------------------------ 6 11 (12) (23) = -------------- 6 = 506 |
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| 4. |
By what number should 31/6 divided get to get 31/20 |
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Answer» Step-by-step EXPLANATION: x÷31/6=31/20 x=31/20×6/31 x=3/10 |
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| 5. |
2. Draw a line m. From a point X outside the line, construct a perpendicular to line musing compasses and ruler. |
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Answer» Answer: draw a line m. above line m give a point as x. with x draw an arc on both SIDES . with both sides ALSO draw an arc such that both arc cut TOGETHER. with the HELP of arc draw a PERPENDICULAR line. Now a perpendicular line will be constructed. hopes it's help |
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| 6. |
the sum of two numbers is 45.The difference of the square of those number are 625 , find the number? |
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| 7. |
Prove that (a+b+c)^3 - a^3-b^3-c^3 = 3(a+b) (b+c) (c+a)PLZZ.. ANSWER THIS QUESTION :) |
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Answer» Answer: Please find below the SOLUTION for it: (a+b+c)3 - a3-b3-c3 = [(a+b)+c]3 – a3-b3-c3 (a+b)3+c3+3c(a+b)(a+b+c)-a3-b3-c3 a3+b3+3ab(a+b)+c3+3c(a+b)(a+b+c)-a3-b3-c3 a3+b3+c3+3ab(a+b)+3c(a+b)(a+b+c)-a3-b3-c3 3ab(a+b)+3c(a+b)(a+b+c) 3(a+b)[ab+c(a+b+c)] 3(a+b)[ab+ac+bc+c2] 3(a+b)[a(b+c)+c(b+c)] 3(a+b)(b+c)(c+a) HENCE Proved. ⚡Hope it will help you.⚡ |
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| 8. |
the product of three consecutive even numbers when divided by 8 is 720.The product of square root is: |
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Answer» Step-by-step explanation: LET the numbers be X, x + 2 and X + 4. Then, x(x + 2)(x +4) / 8 = 720 => x(x + 2)(x +4) = 5760. √x * √(x + 2) * √(x +4) = √x(x +2)(x + 4 ) = √5760 = 24√10. |
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| 9. |
Absolute value of minus 20 |
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Answer» Answer: +20 is the answer because we have to OPPOSITE the SIGNS in absolute VALUE |
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| 10. |
vikas read 7/10 of the book . lf he needs 3 / 2 hours to fini ah the book , then how does long he take to finish whole book |
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Answer» Step-by-step EXPLANATION: your ANSWER is in the above ATTACHMENT |
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| 12. |
Help me..............in this............ question |
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| 14. |
If a polynomial p(X)=X4-2x3+3x2-ax+8 is divided by (x-2), it leaves a remainder 10 .find the value of a |
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Answer» as we KNOW in this QUESTION we have to find the value of a by SOLVING this question we get the value of a =5 |
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| 15. |
Find IxI ,when x = 5 , x = -10 , x = -12 |
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Answer» Answer: 1. when x=5 then |5|=-5 2. x=-10 then |-10|=10 3.when x=-12 then |-12|=12
i hope that you understand it is ADDITIVE inverse in these SUMS we have to just CHANGE their symbol like if it is positive then it will change into negative and when negative it changes to positive |
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| 16. |
8 is subtracted from a number and the difference is multiplied by 4 . if 22 is added to this and the sum is divided by 14 ,the result is 5 ,find the number |
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| 19. |
.Value of x satisfyingis, |
Answer» ANSWER:HELLO Dear User__________ Here is Your Answer...!! ____________________ Step by step solution:HOPE it is clear to you. |
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| 20. |
Write+8x+19 in the form of (x+a) whole square+b square what are the value of a and b ? |
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Answer» (x + a)² + b² = (x + 4)² + (√3)², value of a = 4 and value of B = √3 x² + 8x + 19 To get it in the form of (x + a)² + b² First we need to write 8x as 2ab So, 8x = 2(x)(4) [Since 8 = 2 * 4] We got 8x as 2(x)(4) Now substitute 8x as 2(x)(4) = x² + 2(x)(4) + 19 So, by (p + q)² = p² + 2pq + q² We came to know that, In the above expression p = x and q = 4 So now according to that identity we should get q² after 2(x)(4). we know the value of b i.e, 4. We can FIND the value of q² by squaring the value of q. i.e, q² = (4)² q² = 16 But according to the expression last term is 19 instead of 16 i.e, 4². So, we need to split the the last term into two such that we can get 16. i.e, 19 - 16 = 3 So, 19 = (16 + 3) Substitute value of 19 as (16 + 3) = x² + 2(x)(4) + (16 + 3) = x² + 2(x)(4) + 16 + 3 Again 16 can be written as (4)² = (x)² + 2(x)(4) + (4)² + 3 = [(x)² + 2(x)(4) + (4)²] + 3 We know that (p + q)² = p² + 2pq + q² Here p = x and q = 4 By substituting the VALUES in the identity we have, = (x + 4)² + 3 Now here x = x, a = 4, So, b² = 3 b = √3 x² + 8x + 19 = (x + 4)² + (√3)² Now the expression is is the form of (x + a)² + b² Therefore, (x + a)² + b² = (x + 4)² + (√3)², value of a = 4 and value of b = √3. (p + q)² = p² + 2pq + q² |
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| 21. |
Mathematics37. find the sum of squares of first 11 natural numbers |
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Answer» Step-by-step EXPLANATION: |
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| 22. |
(iii)=(-30 + (9) solve yar |
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Answer» Step-by-step EXPLANATION: -30+9 -21............................ |
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| 23. |
Q1. Represent each of the following on number lineQ2. Add the following:andpe andm) 2 andwandQ3. Subtact :ofromFrom-) -- from* fromQ4. Find the product for each of the following:-12 10-135– 91614i) -18x(10)iv) 21320 |
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Answer» do it on CALCULATER because it is very EASY |
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| 24. |
Find simple interest on a sum of rs 15000 borrowed at a rate of 15% per annum for 3 years |
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Answer» Answer: ( 15000*15*3)/100 Rs.6750 So, the SIMPLE interest is Rs.6750 PLEASE MARK MY ANSWER AS BRAINLIEST IF IT SATISFIED YOU! |
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| 25. |
A number of 2 digits is five times of sum of its digits.If 9 is added to the number get interchanged .The sum of the digits of the number is what? |
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Answer» Step-by-step explanation: Let the number be xy. x + y = 5 (10x + y) - 9 = 10y + x (I multiplied by 10 because of place values) 10x + y - 9 = 10y + x 9X - 9y = 9 x - y = 1 So, now we know x+y = 5 and x - y = 1 x + y = 5 x - y = 1 +_________ 2x = 6 x = 3 x + y = 5 3 + y = 5 y = 2 The number is 32. |
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| 26. |
Prove that √3 - 2 is an irrational number. |
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Answer» Heyaa☺ ______________ Given, _/3 - 2. let us assume that _/3 - 2 is not an IRRATIONAL NUMBER. Now, let _/3 - 2 = a / B. (where a and b are ci-primes) =》 _/3 = a / b + 2 =》 _/3 = 2b + a /2 =》 _/3 is an irrational number and 2b + a / 2 is a rational number. Therefore, irrational = rational This is a contradiction to our assumption. So we CONCLUDE that _/3 - 2 is an irrational number. _______________________ Hope you understand...✌ |
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| 27. |
Simplify 3√(343)^-2 |
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Answer» Step-by-step EXPLANATION: |
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| 28. |
क्षेत्रमिति के सूत्र |
Answer» ANSWER❍ त्रिभुज का क्षेत्रफल = 1/2 आधार × ऊंचाई × ❍ आयत का क्षेत्रफल= लंबाई × चौड़ाई ❍ वर्ग का क्षेत्रफल =( भुजा)2 ❍ समांतर चतुर्भुज का क्षेत्रफल = आधार × ऊंचाई ❍ समचतुर्भुज का क्षेत्रफल =1/2 × विकर्णों का गुणनफल ❍ समलंब चतुर्भुज का क्षेत्रफल =1/2 × समांतर भुजाओं का योग × ऊंचाई ❍ समलंब चतुर्भुज का क्षेत्रफल = समांतर भुजाओं के योग का आधा × उनके बीच की लंबवत दूरी ❍ वृत्त का क्षेत्रफल = π r2 ❍ अर्द्धवृत्त का क्षेत्रफल = 1/2 × πr2 ❍ वृत्त के चतुर्थांश का क्षेत्रफल = 1/4 × πr2 ❍ दो संकेंद्री वृत्तों के बीच का क्षेत्रफल = π (r12 - r22) ❍ समबाहु त्रिभुज का क्षेत्रफल = √3/4 × भुजा2 ❍ समद्विबाहु त्रिभुज का क्षेत्रफल = b/4 × √4a2- b2 ❍ लघु त्रिज्यखंड का क्षेत्रफल = πr2θ 360 या 1/2 L × R ❍ दीर्घ त्रिज्यखंड का क्षेत्रफल = πr2 [ 360 - θ 360] ❍ लघु वृत्तखंड का क्षेत्रफल = πr2θ 360-1/2 r2 Sinθ ❍ दीर्घ वृत्तखंड का क्षेत्रफल = वृत्त का क्षेत्रफल - लघु वृत्त खंड का क्षेत्रफल ❍ घनाभ का संपूर्ण पृष्ठीय क्षेत्रफल = 2(lb+bh+hl) ❍ घन का संपूर्ण पृष्ठीय क्षेत्रफल = 6 × भुजा 2 ❍ घन के एक पृष्ठ का क्षेत्रफल = भुजा 2 ❍ फर्श या छत का क्षेत्रफल का क्षेत्रफल = लम्बाई × चौड़ाई ❍ बेलन का वक्र पृष्ठ का क्षेत्रफल = 2 πrh ❍ बेलन का संपूर्ण पृष्ठीय क्षेत्रफल = 2 πr(r+h) ❍ बेलन के दोनों सिरों का क्षेत्रफल = 2 πr2 ❍ खोखले बेलन का संपूर्ण पृष्ठीय क्षेत्रफल = 2 π (r1 + r2) (h+r1 - r2) ❍ शंकु का वक्र (ढालू) पृष्ठ का क्षेत्रफल = πrl ❍ शंकु का संपूर्ण पृष्ठीय क्षेत्रफल = πr(r+l) ❍ शंकु के ढालू भाग की लंबाई (l) = √r2+ h2 ❍ शंकु के आधार का क्षेत्रफल = πr2 ❍ शंकु के आधार का परिमाप = 2πr I hope it helps youplz MARK as brainliest |
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| 29. |
(ii)50 + (-5)solve ot plz |
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Answer» Step-by-step explanation: 50-5 =45...................................,,,,,, |
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| 30. |
Two parallel metallic plates, each of area A arekept as shown in the figure and charges -20 and4Q are given to them. Edge effects are negligible.The charges on the surfaces I and Ill are(1) -20, +20(3) +Q, +30(2) - Q, +30(4) +2Q, -30 |
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Answer» When electrostatic demonstrations are first PRESENTED to students, the demonstrator will often touch a piece of conducting material to the ground (earth) and declare that the EXCESS charge has been REMOVED. In fact, though, what has happened is that the potential has been set, by definition, to zero. Usually, but not always, this means that the excess charge has been removed. In the case of an isolated conductor, it's true that the excess charge has been removed, but if there are other charged objects nearby, the grounded conductor can still retain some excess charge. In this case we REFER to it as induced charge. A capacitor is a pair of conductors. |
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| 31. |
1. Evaluate each of the following:(0) (-30) - 10 |
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Answer» Answer: Step-by-step explanation: 0 MULTIPLIED by ANYTHING is 0 |
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| 32. |
धातु का एक पाइप 77 cm लम्बा है। इसके एक अनुप्रस्थकाट का आंतरिक व्यास 4 cm है और बाहरी व्यास 4.4 cm है। (देखिए आकृति 13.11)। ज्ञात कीजिए :(i) आंतरिक वक्र पृष्ठीय क्षेत्रफल (ii) बाहरी वक्र पृष्ठीय क्षेत्रफल (iii) कुल पृष्ठीय क्षेत्रफल |
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Answer» Answer: आंतरिक वक्र पृष्ठीय क्षेत्रफल 968 सेमी² है।बाहरी वक्र पृष्ठीय क्षेत्रफल 1064.8 सेमी² है।कुल पृष्ठीय क्षेत्रफल 2038.08 सेमी² है ।Step-by-step EXPLANATION: माना, पाइप की बाहरी त्रिज्या R तथा आंतरिक त्रिज्या r है। दिया है : आंतरिक व्यास = 4 सेमी और बाहरी व्यास = 4.4 सेमी बाहरी त्रिज्या ,R = 4.4/2 R = 2.2 सेमी आंतरिक त्रिज्या, r = 4/2 r = 2 सेमी पाइप की लंबाई ,h = 77 CM (i) आंतरिक वक्र पृष्ठीय क्षेत्रफल = 2πrh = 2 × 22/7 × 2 × 77 = 968 सेमी² अतः, आंतरिक वक्र पृष्ठीय क्षेत्रफल 968 सेमी² है।
(II) बाहरी वक्र पृष्ठीय क्षेत्रफल = 2πRh = 2 × 22/7 × 2.2 × 77 = 1064.8 सेमी² अतः , बाहरी वक्र पृष्ठीय क्षेत्रफल 1064.8 सेमी² है।
(iii) कुल पृष्ठीय क्षेत्रफल = आंतरिक वक्र पृष्ठीय क्षेत्रफल + बाहरी वक्र पृष्ठीय क्षेत्रफल + दो आधारों का क्षेत्रफल = 2πrh + 2πRh + 2π(R² – r²) = [968 + 1064.8 + (2 × 22/7) ((2.2)² – 2²)] = [968 + 1064.8 + (2 × 22/7) (4.84 – 4)] = (2032.8 + 44/7 × 0.84) = (2032.8 + 44 × 0.12) = (2032.8 + 5.28) = 2038.08 सेमी² अतः,कुल पृष्ठीय क्षेत्रफल 2038.08 सेमी² है ।आशा है कि यह उत्तर आपकी मदद करेगा। इस पाठ से संबंधित कुछ और प्रश्न : धातु की एक चादर से 1 m ऊँची और 140 cm व्यास के आधार वाली एक बंद बेलनाकार टंकी बनाई जानी है। इस कार्य के लिए कितने वर्ग मीटर चादर की आवश्यकता होगी? ऊँचाई 14 cm वाले एक लम्ब वृत्तीय बेलन का वक्र पृष्ठीय क्षेत्रफल 88 |
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| 33. |
vikas read 7/10 of the book . lf he needs 3/2 hours to finish his book , then how long does he take to finish the whole book |
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Answer» Answer: to read 7/10 books TIME TAKEN =3/2 hrs to read 1 BOOK tike will take= 3/2/7/10
=3/2 MULTIPLY 10/7 = 2.5 hrs need to complete one book |
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| 34. |
Find the co-efficient of x and x² from :-(5x-2) (x²-x) |
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Answer» Step-by-step EXPLANATION: COEFFICIENT of X= 5, 1 coefficient of x^2=1 |
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| 35. |
Find the compound interest on Rupees 6250 at 16% for 3 years compounded annually |
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Answer» Principal amount = Rs. 6250 Rate = 16% Time = 3 years To find, The COMPOUND interest if the given money is compounded ANNUALLY. Solution, We can easily solve this mathematical problem by using the following mathematical formula. A = P (1+R/100)^n Here, A = Final amount = Compound Interest + Principal amount R = Rate n = number of years (This formula is applicable, when the principal amount is compounded annually.) A = 6250 ( 1+ 16/100)³ A = 6250 (116/100)³ A = 6250 (29/25)³ A = 6250 × (24389/15625) A = 24389/2.5 A = 9755.6 Compound Interest = Final amount - Principal amount = 9755.6-6250 = Rs. 3505.6 Hence, the compound interest is Rs. 3505.6 |
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| 36. |
[(243)n/5×(3)2n+1]/9n×3n-1=? |
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Answer» Answer: Step-by-step explanation: Your answer is GIVEN in the attachment. |
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| 37. |
(ii) 139 negative integer and 24 positive integer? |
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| 38. |
11b) Find the sum of 20 terms of the A.P. 12, 15, 18--- |
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Answer» Answer: Step-by-step EXPLANATION: Here, a=12, d=15-12=3, n =20. now, S=n/2(2a+(n-1)d) =20/2(2×12+(20-1)3) =10(24+57) =810. |
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| 39. |
the income of a is 10% more than that of B income how much percent is the income of B less than that of a |
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Answer» Answer: Step-by-step explanation: A's INCOME is 10 less than B's income how MUCH PERCENTAGE is B's income more than A's income A's income is 10 more than b's income. how many percent is b's income less than a's |
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| 40. |
Solve this question with full solution...plzzz.... Fasttt.. |
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Answer» Step-by-step EXPLANATION: ☑ let us CONSIDER the ages of two BROTHERS are X and y (present ages) therefor present ages are x / y = 1/2 here, y = 2x ..........(1)☑ 5 years back the ratio was 1:3 ➡(x - 5)/ ( y - 5) = 1/3 ➡(x - 5) 3 = 1 ( y - 5) ➡3x - 15 = y - 5 ➡3x - 15 =( 2x)- 5 ➡3x - 2x = -5 + 15
x = 10☑ PUT x = 10 in equation (1) ➡y = 2(10) y = 20☑ so, the present ages are x = 10 and y = 20 we have to find ratio of their ages after 5 years therefor, (x + 5 )/ ( y + 5) =( 10 + 5)/ (20+ 5)
= 15 / 25 = 3 /5c option is correct 3:5 |
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| 41. |
Shubham takes 20 minutes to reach her school if she goes at a speed of 60 km per hour if you want to reach school in 24 minutes what should be her speed in kilometre hour |
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Answer» . |
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| 42. |
The c.p of 36 books is equal to the s.p of 30 books the gain%??? |
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Answer» EXPLAINED CLEARLY IN THE PICTURE HOPE IT HELPS.... PLS MARK AS BRAINLIEST |
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| 43. |
Write rational number bw √2 and √3 |
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Answer» Answer: rational no. b/w them are: 1.415,1.416,1.417,1.418..... hope it will HELPFUL... MARK me as BRAINLIEST.. |
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| 44. |
The sum of the digits of a two digit number is 15,The number obtained by interchanging the digit exceed the given number by 9.find the number |
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Answer» Let the digits be X and y The no is 10x+y ATQ x+y=15 Also 10y+x-9=10x+y 9x-9y=-9 |
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| 45. |
5. What will be the sign of the product, if we multiply together :(i) 22 negative integer and 5 positive integer? |
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Answer» Answer: NEGATIVE multiplied with POSITIVE gives negative the answer is -110 hope this helps you |
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| 47. |
Find the quotionet when f(x) =x3+3x2+3x+5 is divided by g(x) =x+2 |
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Answer» This is your answer. Your QUOTIENT is (X^2+X+1) |
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| 48. |
What is the meaning of hundred mm |
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Answer» Answer:10 cm or 0.1 METRE(in S.I. units) Step-by-step explanation: 1 cm=10 mm So 1mm =0.1 cm Therefore 1*100 mm=0.1*100 cm=10 cm or 0. 1 m (in S.I. units) |
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| 49. |
The sum of digit of a two digit number is 13 .the number obtained by interchanging the digit of the given number is exceedthe number by 27 find the number |
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Answer» Answer: LET us consider that the two DIGITS are a and B. Then the NUMBER is (10a + b). When the digits are interchanged, the new number is (10b + a). By the given condition : a + b = 13 .....(i) and 10b + a = (10a + b) + 27 => 9b = 9a + 27 => b = a + 3 .....(ii) Putting b = a + 3 in (i), we get : a + a + 3 = 13 => 2a = 10 => a = 5 From (ii), putting a = 5, we get : b = 5 + 3 = 8 Therefore, the number is 58. ✨Hope it will be helpful.✨ |
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| 50. |
The five irrational numbers between1/5and 1/6 |
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Answer» GIVEN BELOW ........ Step-by-step explanation: First expanse the the TWO RATIONAL NUMBER.... 1/5=0.2 1/6=0.16666667
1/5>1/6 The five irrational between 1/5 and 1/6 are-
HOPED IT HELP YOU.THANKS...... |
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