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. |
If a:b::c:d prove that (a2 +ab) : (c2 +cd) = (b2 -2ab ): (d2-2cd) |
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| 2. |
Write the smallest 7digit using any five digits number |
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| 3. |
What are some line segments that would create a triangle? |
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Answer» Step-by-step EXPLANATION: YES........................ |
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| 4. |
Write a pair of integers whosedifference gives(a) a negative integers |
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Answer» Answer: 3 - 4 = -1 which is a NEGATIVE integer Step-by-step EXPLANATION: |
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| 5. |
Prove that cosec0/(tan0+cot0)=cos0 |
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Answer» Answer: hey GUYS here is your answer CONSIDER the provided expression. (\csc\theta-\sin \theta)(\sec \theta - \cos \theta)=\dfrac{1}{\tan \theta + \cot\theta} Consider the LHS. =(\csc\theta-\sin \theta)(\sec \theta - \cos \theta)\\=(\FRAC{1}{\sin\theta}-\sin \theta)(\frac{1}{\cos\theta} - \cos \theta)\\=(\frac{1-\sin^2\theta}{\sin\theta})(\frac{1- \cos^2 \theta}{\cos\theta})\\=(\frac{\cos^2\theta}{\sin\theta})(\frac{\sin^2 \theta}{\cos\theta})\\=\cos\theta\sin\theta Now Consider the RHS =\dfrac{1}{\tan \theta + \cot\theta}\\=\dfrac{1}{\frac{\sin\theta}{\cos\theta} +\frac{\cos\theta}{\sin\theta}}\\\\=\dfrac{\cos\theta\sin\theta}{{\sin^2\theta}+{\cos^2\theta}}\\\\=\cos\theta\sin\theta LHS=RHS Hence, proved #Learn more Prove this TRIGONOMETRIC identities |
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| 6. |
A rectangle’s perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the width of the rectangle in units? |
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Answer» I have GIVEN the ATTACHMENT |
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| 7. |
The degree measure of the circumference of the circle is always____ |
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Answer» Step-by-step explanation: 360° its your ANSWER.... |
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| 8. |
What is better for me? I am thinking of doing M.Tech but my parents have an inclination to MBBS. What should I take and why? I am quite good at studies getting atleast 80s on 100. Please guide me. What are the advantages and disadvantages of each degree. |
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Answer» Step-by-step EXPLANATION: ⓦⓐⓘⓢⓔ ⓜⓐⓡⓚ ⓐⓢ ⓑⓡⓐⓘⓝⓛⓘⓔⓢⓣ |
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| 9. |
The range is the difference between the greatest and the least data items. Find the range of the data. 5. 52, 48, 57, 47, 49, 60, 59,51 _ |
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Answer» range is EQUALS to height VALUE - LOWEST value 60 - 5 hence the range is 55 |
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| 10. |
CERI CURNERare the amount and compound interest onCalculate the10.00 for 3 years at 12per annum compounded annually18.000 for 2 years at 10% per annum compounded annually62.500 for 13 years atper annum compounded half yearly |
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Answer» Step-by-step explanation:
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| 11. |
6x+11=x-14.linear equation |
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Answer» Step-by-step EXPLANATION: τнαทк yσυ ƒσr yσυr αττєทτiσท płεครε мคяк мε Ъяค¡หł¡εรт คหd ƒσłłσω мe |
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| 12. |
What is the solution of (a -b -c)2 |
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Answer» Hey MATE here is your answer.... (a-b-c)(a-b-c) a(a-b-c)-b(a-b-c)-c(a-b-c) a²-ab-ac-ab+b2+bc-ac+bc+c² a²+b²+c²-2ac+2bc-2ab Hope it HELPS you... |
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| 13. |
Find the shaded region.....plzz answer if u know.... |
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Answer» Area of Triangle= 1/2 ×base×height. =1/2×49 24.5 By pythagoras theorem, RQ²=PQ²+RP² = 49 RQ =7 RO=OQ =1/2×RQ.......radius is half the DIAMETER =3.5 Area of semicircle=22/7×3.5×3.5/2....by formula =19.25 Area of shaded PORTION= 77-19.25 =57.75 |
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| 15. |
Prove that 3/root5 is irrational |
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Answer» Answer: the value of 3/√5 = 1.3416.... An IRRATIONAL number is a number that can't be EXPRESSED as a fraction for any integers and these numbers have decimal expansions that neither terminate nor become periodic. So it is a irrational number. Hence Proved. Please follow me and this answer MARK as Brainlist. |
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| 16. |
5) A card is randomly chosen from a standard deck of 52 cards, replaced and a second card is chosen .What is the probability of choosing Ace and a 7 card? |
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| 17. |
When interest is compounded four times in a year, then the time is :hi |
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Answer» ANNUALY COMPOUNDED ANS ⬆️⬆️ |
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| 18. |
If a twi digit number is drawn from the collection of all two digit number, what is the probability of getting a multiple of 4? |
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Answer» <P>Answer: P(E)=11/45 Step-by-step explanation: first of all we have to get the first and last two digit multiple of 4 we know the first two digit multiple of FOUR is 12 and the last one is 96 now we only need multiples of 4 so it will be from 12,16,....96 there are 22 terms TOTAL no of 2 digit numbers are 99-10+1=90 therefore the probablity is 22/90=11/45 thanks i hope U understand |
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| 19. |
If 25 ^ x-1 =5^ 2x- 1 - 100 find the value of x |
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Answer» 25^x-1 = 5^2x-1-100 = (5^2)x-1 = 5^2x-1-100 = 5^2x-2= 5^2x-1-100 therefore, 2x-2=2x-1-100 = 2x-2=2x-101 =99 # PLEASE mark as brainliest # FOLLOW ME |
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| 20. |
in a class test containing 10 questions 5 marks are awarded for every correct answer and -2 marks are awarded for every incorrect answer and 0 for each question not attempted first question Reenu gets 5 correct and 5 incorrect answers . what is her score? |
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Answer» Answer:15 marks Step-by-step explanation: She GAVE 5 correct answers and 5 incorrect answers. So 5*5 for correct answers, 5*(-2) for incorrect answers and 0*0 for no answers. Adding all of these will GIVE us the score. 5*5 + 5*(-2)=15 |
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| 21. |
By selling a shop for ₹44,000,a man makes a profit of 10% . Find his profit and also the cost price |
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Answer» CP is = 44000 profit=10% =44000+44000×10% =48400 |
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| 22. |
Fill in the blanks : 49 as the sum of odd number is ——————. |
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Answer» Step-by-step explanation: 49 is the SUM of first 7 odd natural NUMBERS. HEY Here is your answer, 49 as sum of odd numbers = 9 + 19 + 21 |
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| 23. |
A curve is such that dy∕dx=√ (2x+5) and (2,5) is a point on the curve. What is the equation of the curve? |
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Answer» Step-by-step EXPLANATION: |
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| 24. |
• दो संख्याओं का योग 27 है। पहली संख्या के 1/3 भाग का मान 5 है, तो दूसरी संख्या के1/3 भाग का मान क्या होगा ?(d) 8(a)4(b) 5(c)6 |
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Answer» ANSWER: 4 मान लीजिए पहली संख्या X है दूसरी संख्या = 27- x प्रशन अनुसार x/3=5 x=15 पहली संख्या =x=15 दूसरी संख्या = 27- x=27-15=12 दूसरी संख्या के 1/3 भाग का मान=12×1/3=4 |
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| 25. |
Colin gets £ wages each week. After he pays his tax of £ , he then pays his rent of £120. He shares what's left between himself and his wife. How much do they each get? |
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Answer» Answer: [ Since the data is insufficient, we formulate a VALUE from which exact values can be found. We consider that tax and rent are payable WEEKLY. ] Answer: Each of them gets {X - (T + 120)}/2 Solution: Let, total wage of Colin = X Let, the amount of tax = T He pays 120 for his rent and then they he and his wife shares the rest (where we consider that they SHARE the same). Then they both get a total of = wage of colin - (amount of tax + rent) = X - (T + 120) Therefore, each of them gets = { X - (T + 120) } / 2
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| 26. |
9(2a-b)'2 -4(2a-b)-13 |
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Answer» [18a-9b-13][2a-b+1] Step-by-step explanation: So, = 9x²-4x-13 = 9x²+9X-13x-13 = 9x(x+1)-13(x+1) = (9x-13)(x+1) Now replacing the x by (2a-b), = [9(2a-b)-13][(2a-b)+1] = [18a-9b-13][2a-b+1] Hope this helps. |
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| 27. |
IntegrationEvaluate : |
Answer» Question :Integrate Formula's used :1) 2) 3) SOLUTION : Refer to the attachment. |
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| 28. |
What is the angle x value?? |
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Answer» Answer: 100° Step-by-step EXPLANATION: |
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| 29. |
(b) y-axis7. The possible outcomes of throwing dice are? |
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Answer» 6 Step-by-step EXPLANATION: plzz FOLLOW me if POSSIBLE and i can follow you back and mark my answer as BRAINLIEST |
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| 30. |
11,24,46,94,? options:1)188 2)187 3)186 4)190 |
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Answer» Answer: 186 Step-by-step explanation: 11*2=22+2=24 24*2=48-2=46 46*2=92+2=94 now 94*2=188-2=186 |
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| 31. |
दम है तो उत्तर दे के दिखाओ☝Q-23 and 24 |
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| 32. |
Thewholejourney.toIt takes à cyclistcycle a distanceHow long will itcarle a distance45 cm36 km20 km.44 minutesof 11 kin.take himoftoandsimEquationschoster:Chapter:linearPima |
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Answer» what we have to do on this QUESTION |
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| 33. |
P(x) , x*3-1 how many zeroes? |
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Answer» in real values it has only ONE zero that is 1 but in imaginary values it also has the values of omega and omega ^2 |
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| 34. |
Plzz answer this immediately |
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Answer» I THINK the answer should be OPTION (D). As it is TILL infinity. It can't be a constant value. So I think the answer should be option (D). hope you understood my answer. Do LIKE it if u understood my answer. thank you Message me if u have any doubt |
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| 35. |
Prove that the sum of two consecutive odd number is divisible by 4 |
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Answer» YAA for example is we take odd NUMBER like 3 and 5 which 3+5=8 this is DIVISIBLE by now another example 5 and 7 which is 5+7=13 this is again divisible by 4 hence proved mark as BRAINLIEST PLZ ❤️ |
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| 36. |
Find the solution of 4 x + 3=15 |
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Answer» Step-by-step explanation: 4x=15-3 4x=12 x=12/4 x=3 Value of x is 3. |
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| 37. |
A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $ 4,75 per pound. If peanuts cost $4.00 per pound and cashews $6.50 per pound. How many pounds of each should use?Let p = pounds of peanuts Let c = pounds of cashewsWrite a system of equations that could be used to solve the problem |
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Answer» Given : A grocer wants to MAKE a 10-pound mixture of peanuts and cashews that he can sell for $ 4,75 per pound. If peanuts cost $4.00 per pound and cashews $6.50 per pound. To find : How MANY pounds of each should use Solution: Let p = pounds of peanuts peanuts cost $4.00 per pound => Cost of p pounds of peanuts = 4P $ Let c = pounds of cashews cashews cost $6.50 per pound. => Cost of c pounds of peanuts = 6.5C $ Total Cost = 4P + 6.5C $ 10 Pound Mixture Cost = 10 * 4.75 = 47.5 $ => 4P + 6.5C = 47.5 P + C = 10 => 4P + 4C = 40 => 2.5C = 7.5 => C = 3 & P = 7 3 pounds cashew & 7 pounds of Peanuts Learn more: 21. A mixture "M1" of Mix Juice, Orange Juice and Pineapple Juice ... if a mixture contain SUGAR,oil and cheese in ratio 5:3:1 and you have ... |
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| 38. |
If x=(2+√3, find the value of x(square)+1/x(square) |
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Answer» Step-by-step explanation: 1/x=(SOLVE after RATIONALISATION of 1/2+√3) then answer is (2-√3) x∧2+1/x∧2 = (2+√3)∧2+(2-√3)∧2 so, 4+3+4√3+4+3-4√3 = 14 |
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| 39. |
Using the identity (a + b) (a - b) = (a2 – b2), evaluate the following:(i) 88 × 112(ii) 153 167(iii) 10.8 x 9.2 |
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Answer» Step-by-step EXPLANATION: I.(100-12)(100+12) 10000-144 =9856 ii.(160-7)(160+7) 25600-49 =25551 iii.(10-0.8)(10+0.8) 100-0.64 =99.36 |
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| 40. |
J - Neelu is at the library helping to put awaybooks. There are 47 books to put away in in total but librararian takes 11 of them and leaves the rest with neelu if she can fit 6 books on a shelf then how many shelves will she need? |
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Answer» Step-by-step explanation: Neelu has 47 BOOKS out of which 11 have been taken. So now the books she has is 47-11 = 36 books. According to Question 1 book = 1/6 shelf Now , she has 36 in all. 36 books = 36/6= 6 shelves 6 shelves she NEEDS in all. |
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| 41. |
when all the sides of the square are increases by 3cm, then area of the square becomes 324sq.cm.Calculate the area of first square. |
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Answer» LENGTH of ONE SIDE of the sq=324÷4=81 the length of one side of FIRST sq=81-3=78 area of the first sq=78×4=312 |
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| 42. |
. 36 work men are employed to finish a certain work in48 days. But it is found that in 24 days only work isdone. How many more men must be taken to finishthe work in time? why mdw formula is used in thi formula is md/w hota hai |
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Answer» this QUESTION is in inverse PROPOTION that is if we increase days than MEN for work will decrease andif we increase men for work tha the number of days in which the work will be completed will decrease. LET the total number of men that completed the work in 24 days be 'x' number fo days number of men 36 48 24 x for inverse propotion we use x×y= constant and in dirext propotion we use x÷y=constant x×y= constant MEANS if any question is in inverse propotion than the product of value which are given will be constant and equal to the product of value which needed to be find so by this we have, (36×48) ÷24= x 1728÷24=x 72=x now to justify 36×48= 1728 24×72=1728 the product is coming constant and equal means the answer 72 is correct. x meant that the total number of people that are needed to complete work in 24 days. as 36 men were present already the number of people which are added to complete the work on 24 days = 72-36= 36 so 36 is the final answer; and 36 men were added to complete the work in 24 days. |
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| 43. |
If under root 2 is equals to 1.414 then the value of 3 upon 4 under root p square is close to |
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Answer» the answer is 0.4142 for the question Step-by-step EXPLANATION: |
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| 45. |
What comes next in the sequence 50, 49, 47, 44, 40, 35…? * |
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Answer» Answer: 29 Step-by-step EXPLANATION: |
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| 46. |
ABCD is a square of side 14cm.with centre A,B,C,D four circles are drawn such that each circle touch externally two of the remaining three circles.find area of shaded region |
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Answer» Answer: 42 cm Step-by-step explanation: Since square has all angles 90 degree Area of shaded region = Area of square ABCD Are of 4 quadrants of circle Area of square ABCD Given side of square = 14 cm Area of the square = ( Side)² = (14)² =(14x14) = 196
In the question, diagram SHOWS symmetry therefore, the radius of the circle would be equal. In every SINGLE diagrams radius = side of square DIVIDED by 2 = 14/2 = 7 So, radius = R = 7 cm Now, Area of one quadrant = 1/4x area of circle 1/2x py r square 1/2x22/7x(7²) 1/2x22x49 154/4 cm²
Area of shaded region = area of square - area of 4 quadrant 196-154 = 42 cm²
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| 47. |
एक रुपयाची १० नाणी आहेत. पैकी १ नाणे खोटे असून त्याचे किंचीत वजन कमी आहे. तराजूच्या सहाय्याने तीन पेक्षा कमी वेळा वजन करून खोटे नाणे कसे शोधून काढणार? |
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Answer» एक रुपयाची १० नाणी आहेत. पैकी १ नाणे खोटे असून त्याचे किंचीत वजन कमी आहे. तराजूच्या सहाय्याने तीन पेक्षा कमी वेळा वजन करून खोटे नाणे कसे शोधून काढणार? एक रुपयाची १० नाणी आहेत. पैकी १ नाणे खोटे असून त्याचे किंचीत वजन कमी आहे. तराजूच्या सहाय्याने तीन पेक्षा कमी वेळा वजन करून खोटे नाणे कसे शोधून काढणार? Step-by-step EXPLANATION: |
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| 48. |
Solve this__+__+__=30you can fill the blank spaces with odd numbers starting from 1 to 15.you can also repeat the number. |
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Answer» Step-by-step EXPLANATION: |
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| 50. |
Find the values of a and b so that the polynomial p(x) =x^4+x^3+8x^2-4x+b is exactly divisible by x^2-1 |
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Answer» <P>p |
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