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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. |
If f(x-1) = x^2-4x+8, then f(x+1) = ? |
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Answer» Step-by-step EXPLANATION: |
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| 2. |
Please answer the 24th question. Correct answer will get marked brainliest. |
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Answer» Answer: Required equation is 25x^2 - 30x + 4. Required POLYNOMIAL is 25x^2 - 30x + 4 . Step-by-step explanation: MAY be : Given method is not in your book. ACCORDING to this question : Zeroes of an equation are ( 3 + √5 ) / 5 and ( 3 - √5 ) / 5 . We know, every quadratic equation can be expressed in the form of ( x - a )( x - b ) = 0 , where a and b are the zeroes of that equation. So, if ( 3 + √5 ) / 5 and ( 3 - √5 ) / 5 are zeroes : = > { x - ( 3 + √5 ) / 5 }{ x - ( 3 - √5 ) / 5 } = 0 = > { ( 5x - 3 - √5 ) / 5 }{ ( 5x - 3 + √5 ) / 5 } = 0 = > ( 5x - 3 - √5 )( 5x - 3 + √5 ) = 0 = > 5x( 5x - 3 + √5 ) - 3( 5x - 3 + √5 ) - √5( 5x - 3 + √5 ) = 0 = > 25x^2 - 15X + 5√5 x - 15x + 9 - 3√5 - 5√5 x + 3√5 - 5 = 0 = > 25x^2 - 30x + 4 = 0 Hence the required equation is 25x^2 - 30x + 4 = 0. Method 2 Given zeroes : ( 3 - √5 ) / 5 and ( 3 + √5 ) / 5 . Sum of zeroes : = > ( 3 - √5 ) / 5 + ( 3 + √5 ) / 5 = > ( 3 - √5 + 3 + √5 ) / 5 = > 6 / 5 Product of zeroes : = > ( 3 - √5 ) / 5 = > ( 3 - √5 )( 3 + √5 ) / 25 = > ( 9 - 5 ) / 25 { ( a + b )( a - b ) = a^2 - b^2 } = > 4 / 25 From the properties of quadratic equations : Quadratic equation : x^2 - ( sum of zeroes )x + product of zeroes = 0 = > x^2 - ( 6 / 5 )x + ( 4 / 25 ) = 0 ... { from above } = > ( 25x^2 - 30x + 4 ) / 25 = 0 = > 25x^2 - 30x + 4 = 0 Hence the required equation is 25x^2 - 30x + 4 = 0. And required polynomial is 25x^2 - 30x + 4 . |
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| 3. |
A wire is bent in the shape of squre of a square of side 8 cm . Now the wire rebent in the shape of a circle.find the radius of the circle . Which shape enclosed more area. |
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Answer» Answer: 5.73 Step-by-step explanation: Side of SQUARE=8cm Perimeter of Square =side*4 =8*4=32cm Since the same wire is BENT in the FORM of circle The perimeter of square is same as the perimeter(CIRCUMFERENCE) of circle Circumference of circle =36cm Radius=circumference/2*pie =36/2*22/7 =36*7/2*22 =252/44 =5.73=Answer The answer is coming 5.727272727272727,so we round it and write as5.73 |
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| 4. |
What should be added to twice the rational number -7 by 3 to get 3 by 7 |
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| 5. |
2. if p(x)=x2- 4x + 3, evaluate p (2) -p (-1) +p6). |
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Answer» jfdghhjj**&$$&()(766679)jhffhjkmnvxclmnbvvbnmmmbvcbnmm |
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| 6. |
SecA - tanA = xfind secA + tanA = ? |
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Answer» Answer: Step-by-step EXPLANATION: (sec x + tan x)(sec x - tan x) = 1 (sec x + tan x)*X=1 sec x + tan x = 1/X |
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| 7. |
Tan 45 Cos 60 + sin 30 sec 45 - sin 60 cot 45 - cos 30 cos 90 |
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Answer» Step-by-step EXPLANATION: |
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| 8. |
In which quadrant does the point - 2 - 3 lie |
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Answer» The point (-2, -3) lies in the third quadrant. Step-by-step explanation: For this question to be answered, it is important to know some things.
Here, the coordinates are (-2, -3). The signs of the coordinates are (-, -). HENCE, it lies in the third quadrant. |
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| 9. |
10. The data in the adjacent table depicts the lengthof a woman's forehand and her correspondingheight. Based on this data, a student finds arelationship between the height (y) and theforehand length() as y = ax + b, where a, bare constants.(i) Check if this relation is a function.(ii) Find o and b.14) 10th Standard MathematicsLength 'x' of Height 'y' Forehand(in cm) (in inches ) 35 56 45 65 50 69.5 55 74 |
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Answer» Answer: (1) this function is a RELATION as each X has one corresponding VALUE in y Step-by-step EXPLANATION: x=35, y=56 35a+b=56....(1) x=45, y=65 45a+b=65 ....(2) SOLVING equations we get a=0.9 b=24.5 |
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| 10. |
Sin18°×cos36°=1/4 prove it . |
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Answer» Step-by-step EXPLANATION: BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST |
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| 11. |
Two adjacent angle on a straight line are in the ratio5:4. Find the measure of each one of base angle. |
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| 12. |
Solve (x-y)3 +(y-z)3+(z-x)3 |
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Answer» (x-y)3+(y-z)3+(z-x)3 3x-3y+3y-3z+3z-3x 3x-3x-3y+3y-3z+3z 0 hope it helps u...PLS MARK as BRAINLIEST |
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| 14. |
1. Which of the following is not a polynomial?3x2 — 4x+15, 12 +213 , 3+*+J2x3 |
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Answer» Answer: NONE of them are polynomials. Step-by-step explanation: 3×2 is one term,so there are only three TERMS. It is a trinomial. 12+213 has just two terms. 3+*+J2x3 has a asterisk Mark in between two PLUS SIGNS. So it cannot be any term |
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| 15. |
i need the answer of question no. 11 and question no. 12 I will make u brainst if u give me right answer.....plzzzzzzzzzzzz |
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Answer» I have SOLVED the FIRST question...but I am not able to set into the CONCLUSION of SECOND question...but still I have tried it...!!! |
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| 16. |
The point of intersection of diagonals of a quadrilateral divides one diagonal in the ratio1:2 can it be a parellelogram? Why or Why not |
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Answer» It cannot be a parallelogram. Because in a parallelogram the diagonals ALWAYS bisect each other, i.e., they always INTERSECT each other in the ratio 1:1. Hope it HELPS!!! :) |
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| 17. |
Ek Heere ka mulya Uske Bhar Ke varg ke Saman pati hai .yadi hire Ko tod De to do Bhag krde Tu HiRe ka Bhar Mein anupatd 3:4 ka ho jayega Dono tukdo ka kul daam Bade wale Tukde se 15000 rupay Kam Hai heere ka prarambhik mulya bataen |
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Answer» Answer: atah heere ka prarambhik mulya=30625 Rupay Step-by-step explanation: Mana KI heere ka bhar= 7x Tab mana mulya =k(7x)²=49kx² Tutane par heere ke naye tukadon ka bhar I tukade ka mulya=k(3x)²=9kx² II tukade ka mulya=k(4x)²=16kx² Dono tukdo ka kul daam =9kx²+16kx² =25kx² =============== Prashnanusar Dono tukdo ka kul daam Bade wale Tukde se 15000 rupay KAM Hai atah 25kx²=49kx²-15000 49kx²-25kx²=15000 24kx²=15000 kx²=15000/24=625 atah heere ka prarambhik mulya =49kx²=49*625 =30625 Rupay |
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| 18. |
2. The perimeter of a rhombus is 100cm. and if one of its diagonals measures40cm. Find its area. |
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Answer» Let other SIDE be x area of ROHMBUS= (1÷2)×(x)×40 100 = (x)(20) 100÷20= x x= 5 Other side is 5cm Please MARK me brainlist |
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| 19. |
What should be added to 1 by 4 1 by 5 and 1 by 6 to get 8 |
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Answer» (1/2+1/3+1/5)+x=4 l.c.m of 2,3,5=30 (15+10+6)/30=31/30 x=4–31/30 x=89/30 |
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| 20. |
The number to be multiplied is called |
Answer» This no. is CALLED the MULTIPLICAND |
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| 22. |
Which distribution has the greatest spread? |
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Answer» Answer: Calculate the range of each option; A) 13.7-3.1=10.6 B) "= 422.3 C) "=31.2 D) 225.9 As noticed, Option B has the widest range, therefore, WIDER SPREAD of data. HOPE I helped :) |
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| 23. |
Find the diameter of a semicircle whose perimeter is 22cm |
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Answer» Step-by-step explanation: 22r/7+ 2r=22 (22r+14r)/7=22 36r/7=22 r=22 X 7/36 r=77/18 Diameter=154/18=77/9 |
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| 24. |
If you try to start a scooter what are the possible outcomes answer |
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Answer» then 1/2 |
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| 25. |
Find:cube of -8×cube of -27 |
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Answer» Step-by-step EXPLANATION: |
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| 27. |
Mean of p,6,7,10 and 12 is 7. Find p |
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Answer» <P>Answer: 0 Step-by-step explanation: 7=(p +6+7+10+12)/5 35=p+35 P=0 |
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| 28. |
X=9-root 5 find x Square +1/xsquare |
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Answer» Answer: as per your question, Step-by-step explanation: so, x + 1/x = (693 - 75√5 ) by 76 |
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| 29. |
Sum of 407329 ; 153 ; 63007 |
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Answer» 407329+153+63007= 470,489 |
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| 30. |
The cube of a number is 8 times the cube of another number. If the sum of the cubes of the numbers is 243, then find the difference between the numbers. |
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Answer» Answer: x=24 and y=3 Step-by-step explanation: LET one number be x and the other number be y. Given that, Cube of one number is 8 times the cubes of other→x³=8y³.................(1) Also, Sum of the cube of these numbers is 243.→x³+y³=243 Now, SOLVING the equation, x³+y³=243 →y³+8y³=243 [Using (1)] →9y³=243 →y³=27 → y=3 Substituting y=3 in (1), x³ = 8y³ x³ = 8(3)³ x³ = 8(27) x³ = 216 x = 6 Now, Difference of the numbers: x-y =6-3 =3 •Verification:x³+y³ =(3)³+(6)³ =27+216 =243 =RHS Here,LHS=RHS=243 Hence, VERIFIED |
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| 31. |
0If Ik +2, 4k-6, 3k-2 are the three consecutive terms of an Arithmetic Progressiothen the value of k is :(A) 2(B) 3(C). 4(D) 5 |
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Answer» Step-by-step EXPLANATION: hope it helps mark as brainliest |
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| 32. |
Variance of first n even natural numbers |
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Answer» Step-by-step explanation: FIRST n even natural NUMBERS are 2,4,6,8......2n Now on calculating the mean we get μ=2+4+6+8...2nn =2(1+2+3+4......n)n =2(n(n+1)2)n=(n+1) SUM of the SQUARE of the first n even natural number is ∑2nn=2n2=22+42+62.........+(2n)2 =22(12+22+32+........(n)2 We know that 22(12+22+32+........(n)2)=n(n+1)(2n+1)6 =4(n(n+1)(2n+1)6) =2n(n+1)(2n+1)3 Now calculating the varience we get =∑2nn=2n2n−μ2 =2n(n+1)(2n+1)3n−(n+1)2 =(n+1)(n−1)3 =(n2−1)3 I hope it had helped u |
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| 33. |
THE ANGLE OF ELEVATION OF THE TOPOF A TOWER OSSERVED FROM EACH OFTHE POINTS A SAND CON THEGROUND FORMING A TRIANGLE IS THESAME ANGLE O R IS THECIRCUMRADIUS O TRIANGLE ABC,THEN SHOW THAT THE HEIGHT OF THETOWER is Rtan theeta |
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Answer» ANSWER is in the PICTURE attached. Hope it HELP you out. |
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| 34. |
If sin 3 A=cos(A-6(,where 3 A is an acute angle,find the value of A |
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Answer» COS (90-A)=sinA given SIN A=cosA cos (90-A)=CosA 90=2A A=45 |
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| 35. |
Square root of 4489 is |
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Answer» mark it as BRAINLIEST and FOLLOW me |
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| 36. |
What sum of money will amount to rupees 6525 in 5 years at 16% compounded quarterly |
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Answer» Answer: 5220 Step-by-step explanation: 5220 6525*5*16/100= |
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| 37. |
24,28,32,36 among these numbers which one is a perfect number? |
Answer» Answer is 36Explanation:-Because 6×6=36. This is the only NUMBER here which is perfect square. 24,28,and 32 are not perfect squares... I hope it will HELPS you.... Please mark me as Brainliest ✌️✌️ |
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| 38. |
Multiply 2√6 by 3√6 |
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Answer» Answer: 36 Step-by-step EXPLANATION: ENJOY GUYS |
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| 39. |
If radius of ends of a bucket are 5cm and 15cm and it is 24 cm height then it's surface area is |
Answer» The surface AREA is 1632.8 cm².Step-by-step explanation: Given : If radius of ends of a bucket are 5 cm and 15 cm and it is 24 cm height. To find : The surface area of bucket ? Solution : The bucket is in shape of a frustum, where, the radius are The height is h=24 cm The SLANT height is given by, The surface area of the bucket is given by, The surface area is 1632.8 cm². #Learn more The radii of the circular ends of a SOLID frustum of a cone are 18 cm and 12 cm and its height is 8 cm. find its TOTAL surface area |
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| 41. |
Insert six rational numbers between (1) 21/12 and 12/21. |
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Answer» 21/12×10/10=210/120 |
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| 42. |
What is the constant term in the coefficient of b^2 |
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Answer» COEFFICIENT of b^2is 1 hopeit HELPS you THANK you |
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| 43. |
Square root of 148.84 |
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Answer» He MADE here is your answer the answer is 12.2 |
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| 46. |
Find one irrational and one rational number between 2 and root 5 |
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| 47. |
1. Find the quotient and the remainder when each of the following numbers to di(1) 8find the quotient and the remainder when each of the following numbers is divided by 13 and the question is 8 |
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Answer» Answer: quotient = 8 remainder=1 please mark as BRAINLIST |
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| 48. |
SecA-TanA=x then+find+SecA+TanA=? |
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Answer» we know that sec^2A-tan^2A=1 we also know that a^2-b^2=(a+b)(a-b) so,(secA+tanA)(secA-tanA)=1 x(secA+tanA)=1 secA+tanA=1/x |
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| 49. |
Simplify Xy^2-3x^2y-10xy^2+17x^2y -10x^2 |
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Answer» Xy^2-3x^2y-10xy^2+17x^2y -10x^2 =14x²y-9xy²-10x² |
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| 50. |
In an isosceles triangle the base angles are equal and the vertex angle is twice of each base angle. Find the measure of the angles of triangle. |
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Answer» Answer: Step-by-step explanation: Let the base and VERTEX ANGLES be X and 2x. A/Q x°+x°+2x°=180° 4x°=180 x°=45° Hence base ANGLE =45° and vertex angle = 90° |
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