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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. |
State and prove rolles theorem in algebra |
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Answer» Rolle's theorem, in analysis, special case of the mean-value theorem of differential calculus. Rolle's theorem STATES that if a FUNCTION F is continuous on the closed INTERVAL [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b. |
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| 2. |
Solve this question Rahman plz plz plz |
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Answer» Step-by-step EXPLANATION: ANGLE DCA=90° - 68° =22° IN ΔDCA 90°+22°+x+36°=180° x=90°-22°-36° x=90°-58° x=32° ꧁Mark as BRAINLIEST answer꧂ |
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| 3. |
How to measure the angle of 3D shapes |
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Answer» LOOKING at the small triangle that includes angle b we now KNOW that a = 35° and, since the sum of the triangles equal 180° we can find angle b. Angle c and the 95° angle are supplementary; they add up to 180°. Now we know c = 85° we can find angle d since the THREE angles in the triangle add up to 180°. |
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| 4. |
Mind the degree of each of the following polynomial -10 |
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Answer» Answer: You do not need a caluclator for this problem. Group the FIRST two terms together and the second two terms togerter. Factor out x2 from the first two terms and -5 from the second two terms: (x3+4x2)+(-5x-20) = x2(x+4)-5(x+4) Because x+4 is a factor of both groups, it can also be factored out: x2(x+4)-5(x+4) = (x2-5)(x+4) Setting G(x)=0, the three VALUES of x which solve this equation are -4, and ±√5. The way you solve this equation on a calculator can be done many ways. Using the Ti-89, one could simply use the solve function (F2:1). This arugement must have an expression, a defined variable. ex: solve(x^3+4x^2-5x-20=0,x) I beleive the zeros can be solved for graphically as well on other GRAPHING calculators. Enter the equation using the 'Y=' menu; fix the window so that the function is visable on the screen [-5,5]x[-20,20]; open the math menu and select the zero function. You will have to define a lower bound and an upper bound (a point before the DESIRED zero and a point after the zero). Keep in mind that the zero function solves for one zero at a time. |
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| 5. |
Pls solve it I will follow u if u give me the answer and put u in brainliest |
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Answer» HEYAA,,, _______________________________ for answer see the attachment :) _______________________________ :) |
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| 7. |
justify the statement : if there is a number x such that x cube is an irrational number, then x power 5 is not irrational |
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Answer» Answer: Step-by-step explanation: CUBE of 5 root over 5 is IRRATIONAL but 5 of 5 root over 5 will GIVE ands 5 |
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| 9. |
The sum of three consecutive even numbers is 156. Find the largest number |
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Answer» GIVEN : Sum of THREE consecutive EVEN NUMBERS = 156 LET the numbers be x , x + 2 , x + 4 According to the PROBLEM, x + x + 2 + x + 4 = 156 3x + 6 = 156 3x = 156 - 6 3x = 150 x = 150/3 x = 50 Value of first term = x = 50 Then, Second term = x + 2 = 50 + 2 = 52 Third term = x + 4 = 54 Therefore, the three terms are 50, 52 and 54. |
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| 10. |
The two number whose product is 1are |
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Answer» 1 MULTIPLIED by 1 is 1.. |
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| 11. |
Find the area of shaded portion formed by a semicircle placed above a square.(Side of square = 7cm) |
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Answer» Answer: area of SEMI CIRCLE =1/2*3.14* (3.5)^2 Step-by-step EXPLANATION: side of square=diameter of semi circle. radius=7/2cm=3.5cm therefore, area of semi circle=1/2*PI(3.14)*r^2 |
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| 12. |
Log3log2logroot3*81 |
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Answer» h Step-by-step EXPLANATION: tmg y y g y y |
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| 13. |
The greatest 4 digit number which when divided by 5 and 9 gives remainder 3 and 7 respectively |
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Answer» Step-by-step EXPLANATION: |
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| 14. |
Surface area of a cube is equal to 294m sq . find the volume of the cube. |
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Answer» Volume will be 343 METER cube Step-by-step explanation: Surface AREA = 6A Sq. 294 = 6A Sq. A Sq. = 294/6 A Sq. = 49 A = Sq. root of 49 A = 7 Volume = A cube = 7 X7 x7 =343 |
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| 15. |
Please solve this..Q4 |
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Answer» Step-by-step EXPLANANTION: |
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| 16. |
there are 8 pens in box with no•from 1to8marked on each of them what is probility of geeting pen with number? |
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Answer» <P>PROBABILITY of DRAWING a MARBLE with number 7 is P (7) = 1/8 |
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| 17. |
The perimeter of a rectangle is 40cm. The length of the rectangle is 4 cm less than 5 times its breadth. Find the length of the rectangle. Please answer. |
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Answer» Answer: let breadth be x hence LENGTH =(5x-4)cm perimeter of rectangle= 2(l+b) 40 = 2 (5x-4+x) 40 / 2 = (5x+x-4) 20 = (6x-4) 20+4 = 6x 24 / 6 = x 8 =x now PUT the value of x in length and breadth
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| 19. |
Evaluate the following by using identity 2 87 ka square |
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Answer» Answer: 81469 by USING (a+b)ka square Step-by-step EXPLANATION: 280*280 +7*7+2*280*7 78400+49+3020 81469 please MARK it as brainliest |
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| 20. |
Find other two zeros of 2xsquare-4x-xsquare+2 |
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Answer» Your question is WRONG ...the correct question is :- find the two ZEROES of 2x³-4x-x²+2. Now, ARRANGE it properly:- 2x³-x²-4x+2 Now, factorise the GIVEN expression. =x²(2x-1)-2(2x-1) =(x²-2) (2x-1) Now , equate both the expressions in bracket to 0. So, we GET:- x²-2=0 x²=2 X=√2……(1) 2x-1=0 2x=1 x=1/2……(2) So, the two zeroes are √2 and 1/2. |
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| 21. |
Find the intersection of the line represented by the equation 7x+y=-2 with x-axis, Check whether the point (2,1) is a solution of the given solution |
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| 22. |
After how many decimal place 14 /160 will terminate explain it |
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Answer» Answer: 0.0875975 is no REPEATING |
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| 23. |
Name three places in ones period |
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Answer» Answer: The THREE places in ones period are Ones, TENS and Hundreds. |
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| 24. |
Explain find k if the line passing through point p (-12,-3 ) and q ( 4,k ) as slope 1/2 |
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Answer» Step-by-step EXPLANATION: |
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| 25. |
If rs.1000 amounts to rs.2197 at compound intrest in 3 years,then rate of intrest oer annum is |
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Answer» Given, 1)P=1000 2)A=2197 3)n=3years 4)it is COMPOUNDED annually A=P[1+r/100]^n 2197=1000[1+r/100]^3 2197/1000=[1+r/100]^3 [13/10]^3=[1+r/100]^3 13/10=1+r/100 13/10-1/1=r/100 3/10=r/100 3×100/10=r r=300/10 r=30%p.a. |
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| 26. |
If the simple interest on a certain sum for 15 months |
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Answer» ask the QUESTION in detail Step-by-step explanation: provide all the given information so that we can ANSQER |
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| 27. |
If x+a is factor of 2x^2+2ax+5x+10 find a |
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Answer» Step-by-step EXPLANATION: CONSIDER the GIVEN polynomial to be represented by p(x) p(x)=2x²+2ax+5x+10 Given that x+a is a factor of the polynomial. Note, If y+m is a factor of a polynomial,then the value of y WOULD be a ZERO of the polynomial Thus,-a would be a zero of the above polynomial Implies, p(x)=p(-a)=0 Now, p(-a)=2(-a)²+2a(-a)+5(-a)+10 →0=2a²-2a²-5a+10 →10-5a=0 →5a=10 →a=2 ______________________________________________________________ •The polynomial would be:- p(x)=2x²+4x+5x+10 =2x²+9x+10 ______________________________________________________________ |
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| 28. |
एक नाव को, जिसकी शांत जल में चाल 15 किमी/घं० है, धारा की दिशा में 30 किमी जाने और फिर वापस लौटने में कुल समय 4 घंटे 30 मिनट लगता है । धारा की चाल ज्ञात कीजिए । |
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Answer» धारा की चाल = 5 किमी/घं० Step-by-step explanation: एक नाव को, जिसकी शांत जल में चाल 15 किमी/घं० है, धारा की दिशा में 30 किमी जाने और फिर वापस लौटने में कुल समय 4 घंटे 30 मिनट लगता है । धारा की चाल ज्ञात कीजिए नाव की शांत जल में चाल = 15 किमी/घं० धारा की चाल = X किमी/घं० धारा की दिशा में चाल = 15 + X किमी/घं० धारा की दिशा में समय = 30 /(15 + X) घंटे धारा के विपरीत दिशा में चाल = 15 - X किमी/घं० धारा के विपरीत दिशा में समय = 30 /(15 - X) घंटे कुल समय = 4 घंटे 30 मिनट = 4.5 घंटे = 9/2 घंटे 30 /(15 + X) + 30 /(15 - X) = 9/2 => 30 ( 15 - X + 15 + X) = (9/2) (15 + X)(15 - X) = 30 * 30 = (9/2) ( 225 - X²) => 200 = 225 - X² => X² = 25 => X = 5 धारा की चाल = 5 किमी/घं० |
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| 29. |
Solve 5/x-y - 2/x-y = -1 15/x-y + 15/x-y= -10 |
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Answer» Answer: 4ssfihdrrgiokhd3ehjidjorkooijhhhv |
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| 30. |
Pls solve it I will follow u if u give me the answer and I will put u in brainliest |
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| 31. |
Solve by cross multiplication method 2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 |
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Answer» Step-by-step explanation: 2(ax-by)+(a+4b)= 0 eqn1 2(bx+ay)+(b-4a)= 0 eqn2 Multiplying eqn1 and 2 we GET, =4(ax-by)(bx+ay) + (a+4b)(b-4a) =(ax-by) (bx+ay) + (a+4b) + b =by+bx+(a+5b) =2XY+(a+5b) |
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| 32. |
Can anyone explain the answer? Help will be appreciated...Please REPLY in detail.Simplify the following: |
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Answer» Step-by-step explanation: so 12 ^1/4 can be wriiten as 2^1/2 × 3^1/4 6 can be written as 2 × 3 so 6^1/7 can be written as 2^1/7 × 3^1/7 so 12 ^1/4 × 6^1/7 = 2^(1/7+1/2) × 3^(1/7+1/4) = 2^9/14 × 3^11/28 |
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| 33. |
Raju earns Rs16000 month he spend 1/4of his income on food 3/10 of the remainder on education of children. how many is still left with them,?please answer |
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Answer» Step-by-step EXPLANATION: |
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| 34. |
Square root of 24336 36 by prime factorisation |
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Answer» ❣️ Buddy I think you have made a silly mistake in this question..So I corrected it.
Hope it helps you.. PLEASE mark it as Brainliest answer.. THANKS |
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| 35. |
365 root 2 divided by 4 |
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Answer» Answer:129.046988 Step-by-step EXPLANATION: = (365 × 1.414213)/4 = 516.18795/4 = 129.046988 |
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| 36. |
find the value of k from which the given value is solution of the equation X square + 3 X + K = 20 where x is equal to minus a |
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Answer» Answer: MAY be this is your answer and if it's not then CHECK your QUESTION again k=root6.6666..... Step-by-step explanation: (-a)²+3(-a)+k=20 a²-3a+k=20 a²-a+k=20/3 k=root6.6666..... HOPE it helps.. |
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| 37. |
From cubic polynomial with zeros 3,2 and -1. |
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Answer» K [ x^3 - 3x^2 +2x+1] is the CUBIC polynomia with ZEROES 3,2 and -1 |
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| 38. |
Log5+log(5x+1)=log(x+5)+1 |
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Answer» log 5 + log(5x+1) = log( x+5) +1 log5 + log(5x+1) = log (x+5) + log 10 log ( 5(5x+1)) = log(( ( x+5)10)) compare 5(5x+1) = 10(x+5) 1/2 = x+5)/(5x+1) APPLY COMPONENDO and dividendo 1+2)/(1-2) = x+5 + 5x+1)/(x+5-5x-1) -3 = 6x +6)/( -4x +4) -3 = 3/2. ( x+1)/( 1- x) -2 = ( x+1)/( 1-x) x+1 = - 2+2x x= 3 |
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| 39. |
Convert it into points 3√7 with full expelanation |
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Answer» ANSWER: FOLLOW me |
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| 40. |
Find x....plz plz plz help me in this quesyion i am not grtting |
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Answer» Step-by-step EXPLANATION: (8^x-2 )*(2)^3x-4 = (5)^4X * 10^-4x = ( 2)^4x-8 * (2)^3x-4 = 2^-4x = (2)^7x-12 = 2^-4x x = 12/11 |
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| 41. |
Brlps jeevika community cordinater question |
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Answer» csabskjssvsnam AZ xhzsjdsjaldvs mnfmdfnsnaenrvrnkdhcelkd CNN DD |
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| 42. |
At Shimla, temperature was -5°C on Sunday and it dropped by 2°C on Monday Whatwas the temperature of Shimla on Monday! On Tuesday it raised by 1.5°C, what was thetemperature on this day?13.A plane is flying at a height of 4,200 m above the sea level. At a particular point, itis exactly above a submarine floating 1100 m below the sea level, what is the verticaldistance between?14. Himanshu deposited 5000 in his bank account and withdraws 1672 from it, the nextday of withdrawal of amount from the account is represented by a negative integer, thenhow will you represent the amount deposited? Find the balance left in Himanshu's accountafter the withdrawal. |
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Answer» Answer: 1temperature on SUNDAY =-5c ,it DROPPED by2 degree =-5 c -2 =-7degree c 2 4200+1100= 5100m 3 |
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| 43. |
6. Mr Kumar went to shopping with his family to a Mall. Mrs Kumar bought asaree for 12,500, clothes for the kids for 9,280 and shirts for Mr Kumar for10,445. If the GST charged on the purchases is 12%, then what is the totalamount that Mr Kumar has paid? |
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| 44. |
Please q9 by solving each term |
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Answer» What are you asking?? Step-by-step EXPLANATION: |
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| 45. |
Hey mate solve the problem. If into circles arc of the steam length subtend angles 65° and 75° at the center find the ratio of the radio of their radii. |
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Answer» Answer: u can USE s=rtheta as S is same then COMPARE radius by using thetas but FIRST conveting these thetas into RADIAN |
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| 48. |
E. The additive inverse of -5 isi 5 o 6oiii)–oine |
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| 49. |
The abscissa and ordinate of a point p are 2 and -7 respectively down the coordinate of p. |
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| 50. |
Hey mates please............................. pls solve the problem..... pls do it fast..... |
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Answer» ANSWER: 24.15 Step-by-step EXPLANATION: (0.2 × 0.14 + 0.5 × 0.91)/0.1 × 0.2 = (0.028 + 0.455 )/ 0.02 = 24.15 |
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