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. |
Tan ^-1(x+1/x-1)+ tan^1(x-1/x)=tan ^-7 solve this |
|
Answer» Step-by-step EXPLANATION: BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST |
|
| 2. |
How many times does the digit 3 occur in the number between 10 and 100 |
|
Answer» Answer:19 Step-by-step explanation: 13,23,30,31,32,33,34,35,36,37,38,39,43,53,63,73,83,93 |
|
| 3. |
Prove that √secA-1÷secA+1 + √secA +1 ÷ secA-1=2cosecA |
|
Answer» Here is your Answer!!!! |
|
| 5. |
6÷x+y=7÷x-3=12 and 1÷2(x+y)=1÷3(x-y) solution |
|
Answer» sorrryyy MATE i can't help you good morning.... have a GREAT day.... |
|
| 6. |
X4-x-10=0 equation solve using bisection method solution |
|
Answer» Answer: Step by step solution :Step 1: Polynomial Roots Calculator : 1.1 Find roots (zeroes) of : F(x) = x4-x-10 Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0 Rational Roots TEST is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers The Rational ROOT Theorem states that if a polynomial zeroes for a rational number P/Q then P is a FACTOR of the Trailing Constant and Q is a factor of the Leading Coefficient In this case, the Leading Coefficient is 1 and the Trailing Constant is -10. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 ,2 ,5 ,10 Step 2 :Quadratic equations: 2.1 Solve x4-x-10 = 0 In search of an interavl at which the above polynomial CHANGES sign, from negative to positive or the other wayaround. Method of search: Calculate polynomial values for all integer points between x=-20 and x=+20 Found change of sign between x= -2.00 and x= -1.00 Approximating a root using the Bisection Method : We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation). The FUNCTION is F(x) = x4 - x - 10 At x= -1.00 F(x) is equal to -8.00 At x= -2.00 F(x) is equal to 8.00 Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this interval, F(x) is zero. x = -1.697471857 |
|
| 7. |
Write various techniques for approximating interpolating polynomials |
|
Answer» ❤♣️HËŁŁØ MÃŤÉ♣️❤ >>Given a set of n + 1 DATA POINTS (xi, yi) where no TWO xi are the same, one is looking for a polynomial p of degree at most n with the property. The unisolvence theorem states that such a polynomial p exists and is UNIQUE, and can be proved by the Vandermonde matrix, as DESCRIBED below. |
|
| 8. |
X^3+3/x=4(a^3 +b^3) and 3x+1/x^3=4(a^3-b^3) then find a^2-b^2=?? |
|
Answer» x3 − x2 – 4x + 4 = 0 There is an extremely complicated formula for solving cubic equations. Some calculators have this formula built in and therefore can be used to solve cubic equations. We are going to learn how these equations can be solved by factorising. If the equation has solutions that are integers a, b and C then we can factorise the equation as follows: x3 − x2 – 4x + 4 = (x − a)(x − b)(x − c) = 0 Multiplying the brackets together we see that the constant term, 4, must be the NUMBER we GET when we multiply a, b and c together. abc = 4 All the solutions a, b and c must be factors of 4 so there are not many whole numbers that we need to consider. We have only the FOLLOWING possibilities: ±1, ±2 and ±4 We’ll examine each of these numbers to find which ones are solutions of the equation. f(1) = 13 − 12 – 4×1 + 4 = 0 1 is a solution f(−1) = (−1)3 − (−1)2 – 4×(−1) + 4 = 6 f(2) = 23 − 22 – 4×2 + 4 = 0 2 is a solution f(−2) = (−2)3 − (−2)2 – 4×(−2) + 4 = 0 −2 is a solution We have now found three solutions so we don’t need to try 4 and −4 as a cubic equation has a maximum of three solutions. These three numbers give us the values of a, b and c and we can factorise the equation. x3 − x2 – 4x + 4 = (x − 1)(x − 2)(x + 2) = 0 This method involves finding integers that are factors of ( can be divided into ) the constant term and then testing whether these integers are solutions of the equation. Unfortunately we cannot ASSUME that the solutions of a third degree equation are all integers. However, if we can find one integer solution, lets say it is x = a then, by the remainder theorem , we know that (x − a) is a factor of the equation. We can find another factor, a quadratic factor, by division. |
|
| 9. |
If the expression is symmetric, then (a, b) = ?(A) (2, 2)(B) (-2, 2)(C) (-2,-2)(D) (2,-2) |
|
Answer» Step-by-step EXPLANATION: BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST |
|
| 10. |
What is half of ¼ of 2/9 of 3/7 of 84? |
|
Answer» Answer: 01 Step-by-step EXPLANATION: GIVEN that, 1/2 of 1/4 of 2/9 of 3/7 of 84 that can be WRITTEN as , 1/2 × 1/4 × 2/9 × 3/7 × 84 =01 |
|
| 11. |
Can two numbers have their hcf as 18 and lcm as 380? Give reason |
|
Answer» Answer: No Step-by-step EXPLANATION: Any TWO numbers cannot have their HCF 18 and LCM 380 Because HCF completely DIVIDES the LCM here, we do not SEE such situation |
|
| 12. |
a garden patio is covered with grey slabs and yellow slabs 1/5 of the slabs are grey there are 55 slabs in total work out the number of yellow slabs |
|
Answer» CHECK out the ATTACHMENT |
|
| 13. |
A, B, kisi kam ko 10din me karate h A use 30din aur B use40din me pura karate h to Cakela kitane din me karega |
|
Answer» Step-by-step EXPLANATION: |
|
| 15. |
Cosec A- 2 cot 2A cos A = 2 sin A. |
|
Answer» BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST Step-by-step EXPLANATION: |
|
| 16. |
9/12 to lowest fractions with solution |
|
Answer» 9/12 =3/4 THANKS ME MARK AS BRAINLIEST ANSWER FOLLOWING ME BYEEEEEEEE |
|
| 17. |
Explain why 3*5*7*11+11 is a composite number |
|
Answer» Step-by-step explanation: The answer is 1166. 1166 is DIVISIBLE by 11 and 106. That is why it is composite. If this helped you, PLEASE mark me as BRAINLIEST. |
|
| 18. |
Fill in the blanks some appropriate prepositions1. I feel shame _ her conduct. |
|
Answer» for WOULD be the SORROW APPROPRIATE WORD |
|
| 19. |
1] .Write the following statement in conditional form:a. "Chords which are equidistant from the centres of congruent circles are congruent". |
|
Answer» The answer is If chords are equidistant from the CENTRES of congruent circles then they are CONGRUENT |
|
| 20. |
Add a+b, 3a+2b plzz answer fast as u can |
|
Answer» Step-by-step EXPLANATION: a+b + 3a+2b = 4a+3b If this HELPED you, PLEASE MARK me as BRAINLIEST. |
|
| 21. |
The first term of an AP is 5.The last term is 45 and the sum is 400 find the number of terms of the common difference |
|
Answer» Answer: 8/3 Step-by-step explanation: In an AP, First term (a) = 5 Last term (L) = 45 Sum of the TERMS of the AP (Sn) = 400 Number of terms = (N) = ? Common difference = (d) = ? Now, Sn = n/2 × (a + l) => 400 = n/2 × (5 + 45) => n/2 × 50 = 400 => n = (400 × 2)/50 => n = 16 Again, l = a + (n - 1)d => 45 = 5 + (16 - 1) × d => 45 - 5 = 15d => d = 40/15 = 8/3 |
|
| 22. |
Find two irrational numbers such that their sum is a rational number. Can you find two irrational numbers whose product is a rational number. |
|
Answer» PRODUCT of √15 and √60 is 30 Product of √2 and 2√2 is 4 There are INFINITE pairs. Hope this helps you. Please MARK me as BRAINLIEST. |
|
| 23. |
What percent of 5 liters is 120 ml |
|
Answer» don't KNOW Step-by-step EXPLANATION: FOLLOW me |
|
| 25. |
A decimal fraction is multiplied to itself.If the product is 251953.8095. Find the fraction.One who give the full process i will make him/her brainliest!!! |
|
Answer» Step-by-step EXPLANATION: given that, when x is multiplied to itself the PRODUCT is 251953.8095. thus, => x = 501.9500069728 => x = 5019500069728/ 10000000000 hence, the required no. is 5019500069728/ 10000000000. HOPE THIS HELPS U |
|
| 26. |
Why range of arcsin x is only defined between [ /2 , /2 ]? |
|
Answer» Answer: |
|
| 27. |
If x-y=2 and xy=15 find the x^3-y^3 |
|
Answer» Answer: 116 or 56 Step-by-step explanation: x-y =2 or x= y+2 substitute this in XY = 15 (y+2)y =15 y^2 + 2Y = 15 y^2 + 2y - 15 = 0 solving quadratic eqn y^2 - 3Y + 5y -15 = 0 y = -5 y = 3 x - y = 2 when y = 3 ,x = 5 when y= 2, x = 4 so x^3 - y^3 = 5^3 - 3^3 = 125 - 9 = 116 or 4^3 - 2^3 = 64 - 8 = 56 so ans is 116 or 56 |
|
| 28. |
From numbers 327, 322, 1727, 535, 2943, 152, 3228, 5060, 5335 and 8397, pick out the numbers that are divisible bya) 2 b) 3c) 4d) 6e) 9 f) 11g) 8 |
|
Answer» Actually nothing of this NUMBERS are DIVISIBLE by the given disvisibilities |
|
| 29. |
If x-2 is a factor of x2+ax-6 and x2-9x + b find the value of a and b |
|
Answer» Hey there!! To SOLVE this question, we will be using the zero theorem. We know that ( x -2 ) is a factor of x² + ax - 6. This means, it leaves a REMAINDER of 0 and when x - 9x + b is divided by ( x - 2 ), it leaves a remainder of 0 too. We will know take x - 2 = 0 and take x as 2. Now, all we have to do is SUBSTITUTE the value of 'x' in both equations and find the value of a and b. First, let's find for a : x² + ax - 6 ; we know that x is 2 ... (2)² + a(2) - 6 = 0 ... 4 + 2a - 6 = 0 ... -2 + 2a = 0 ... 2a = 2 ... a = 1 Now, let's solve for b: x² - 9x + b ; We know that x is 2. ... (2)² - 9(2) + b = 0 ... 4 - 18 + b = 0 ... -14 + b = 0 ... b = 14 We now know the values of a and b. a = 1 , b = 14 |
|
| 30. |
If a,b,c are non-zero real number a^2+b^2+c^2=ab+bc+ca then a^3+b^3+c^3=3abc |
|
Answer» .......................... |
|
| 31. |
Find the mean of the following frequency distribution using assumed mean method.classes 2-8 8- 14 14-20 20-26 26-32.frequency 6 3 12 11 8. |
|
Answer» Answer:17 is the mean Step-by-step EXPLANATION: |
|
| 32. |
Answer!!!!!!!!!!!!! |
Answer» X=10 ..............ACTUALLY I am in hurry ....I will GIVE you the STEP by step EXPLANATION tomorrow.. |
|
| 33. |
36 cm परिमाप के कितने आयत बनाएँ जा सकते हैं। यदि आयत कि भुजा धनात्मक पुर्नांक हो। |
|
Answer» Step-by-step EXPLANATION: perimeter=36 2(l+b)=36 l+b=18 for +ve integer l=1,2,.. FOLLOWING l+b=18 l=1 ,b=17 l=2,b=16 .. .. l=8,b=10 l=9,b=9( not POSSIBLE,it's square) .. . l=17,b=1 so,16 rectangles |
|
| 34. |
Rationalise 1/√7 - √6 ...................... |
Answer» ANSWER in ATTACHEMENT |
|
| 35. |
The ratio of two numbers is 3:4 and their sum is 420.The greater of the two number is solve???? |
|
Answer» Answer: Given ratio = 3:4 ★⟹ There sum is 420 ★⟹ 3X + 4x = 420 ★⟹ 7x = 420 ★⟹ x = 60 ★⟹ Greater number is 4x = 4(60)
|
|
| 37. |
Sp of a cow 620 lose =6%find the cost price of cow |
|
Answer» Answer:657.2 Step-by-step EXPLANATION: |
|
| 38. |
Mr sharma takes 1 h 10 minute to reach his office daily. If he goes to office in the month of February in a non- leap year? |
| Answer» | |
| 39. |
Write about top 10 indian mathematicians and their contributions |
|
Answer» Answer: =Aryabhata worked on the place value system using letters to signify NUMBERS and stating qualities. He discovered the position of nine planets and stated that these planets REVOLVE around the sun. He also stated the correct number of days in a year that is 365. More on Aryabhata.✔✔ 2. Brahmagupta =The most significant contribution of Brahmagupta was the introduction of zero(0) to the mathematics which stood for “nothing”. More on Brahmagupta.✔✔ 3. Srinivasa Ramanujan =Srinivasa Ramanujan is one of the celebrated Indian mathematicians. His important contributions to the field include Hardy-Ramanujan-Littlewood CIRCLE method in number theory, Roger-Ramanujan’s identities in partition of numbers, work on algebra of inequalities, elliptic functions, continued fractions, partial sums and products of hypergeometric series. More on Ramanujan.✔✔ 4. P.C. MAHALANOBIS =Prasanta Chandra Mahalanobis is the founder of Indian Statistical Institute as well as the National Sample Surveys for which he gained international recognition.✔✔ 5. C.R. Rao =Calyampudi Radhakrishna Rao, popularly known as C R Rao is a well known statistician, famous for his “theory of estimation”.✔✔ 6. D. R. Kaprekar =D. R. Kaprekar discovered several results in number theory, including a class of numbers and a constant named after him. Without any formal mathematical education he published extensively and was very well known in recreational mathematics cricle.✔✔ 7. Harish Chandra =Harish Chandra is famously known for infinite dimensional group representation theory.✔✔ 8. Satyendranath Bose =Known for his collaboration with Albert Einstein. He is best known for his work on quantum mechanics in the early 1920S, providing the foundation for Bose–Einstein statistics and the theory of the Bose–Einstein condensate.✔✔ 9. Bhāskara =Bhāskara was the one who declared that any number divided by zero is infinity and that the sum of any number and infinity is also infinity. He is also famous for his book “Siddhanta Siromani”.✔✔ 10. Narendra Karmarkar =Narendra Karmarkar is known for his Karmarkar’s algorithm. He is listed as an highly cited researcher by Institute for Scientific Information.✔✔ |
|
| 40. |
Given that x-y = 8 xy =5 find the value of x²+y² |
|
Answer» Given, ⟹ (x - y)² = x² + y² - 2xy ⟹ ⟹ 8² = x² + y² -2(5) ⟹ x² + y² = 64 + 10 ⟹ x² + y² = 74 |
|
| 41. |
if the perimeter of a rectangle be 106 unit and the length exceed the breadth by 7units, find the area of the rectangle |
|
Answer» Answer: L=30,b=23 Step-by-step EXPLANATION: length be l and breadth be b then 2(l+b)=106 => l+b=53 ----eqn 1 as GIVEN, =>l-b=7 ------eqn 2 adding both eqns 2l=60 l=30 b=23 |
|
| 42. |
12 kilogram of rice costing rupees 30 per kilogram is mixed with 8 kilogram of rice costing rupees 40 paglo the average per kilogram price of Nexus is |
|
Answer» Step-by-step EXPLANATION: (12×30+8×40) =680÷20 34 |
|
| 43. |
Find the additive inverse of the following 3÷-7 |
|
Answer» ANSWER is 3/7...... Please MARK it as BRAINLIEST.... |
|
| 44. |
Simplify these question in mathematics.rational numbers with steps . |
|
Answer» Answer: 5√16 × 5√2=5×4 × 5√2 =100√2 |
|
| 45. |
The weight of 10 students in kg in a class are given below the 45,37,32,42,46,35,39, 38,42,44 what is the average weight of studient |
|
Answer» AVG. WEIGHT- 45+37+32+42+46+35+39+38+42+44/10 400/10 40 |
|
| 47. |
Hey guys help me...If cos A=5/12 find secA. |
|
Answer» Given, ★⟹ Cos A = 5/12 ★⟹ SECA = 12/5 As we KNOW, The reciprocal of CosA is SecA Hope it helps. |
|
| 48. |
6. Ifx + y = 10 and xy = 16. Find the value of: x2 - xy + y27. Find the perpendicular distance of the point P(7.5) from the y-axis.8.If the point (3.4) lies on the graph of the equation 3y = ax + 7, find the value of a |
|
Answer» 6. |
|