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. |
9. Find the values of p and q so that the polynomialx^3+ px^2- 37x +q is exactly divisible by x^2 -3x+2 |
Answer» Given :-Cubic polynomial : x³ + px² - 37x + q The given cubic polynomial is exactly divisible by x² - 3x + 2 Required to FIND :-
Solution :-Given information :- Cubic polynomial : x³ + px² - 37x + q The given cubic polynomial is exactly divisible by x² - 3x + 2 we need to find the values of p and q . Let's consider the given polynomial as ; p ( x ) = x³ + px² - 37x + q Now, Let's Factorise x² - 3x + 2 ➜ x² - 3x + 2 ➜ x² - 2x - 1x + 2 ➜ x ( x - 2 ) - 1 ( x - 2 ) ➜ ( x - 2 ) ( x - 1 ) From this we can conclude that ; p ( x ) is exactly divisible by ( x - 2 ) & ( x - 1 ) So, Let ; => x - 1 = 0 => x = 1 p ( 1 ) = ( 1 )³ + p ( 1 )² - 37 ( 1 ) + q = 0 1 + p ( 1 ) - 37 + q = 0 1 + p - 37 + q = 0 - 36 + p + q = 0 q = - p + 36 ➜ equation - 1 consider this as equation 1 Similarly, Let ; => x - 2 = 0 => x = 2 p ( 2 ) = ( 2 )³ + p ( 2 )² - 37 ( 2 ) + q = 0 8 + p ( 4 ) - 74 + q = 0 8 + 4P - 74 + q = 0 - 66 + 4p + q = 0 Substitute the value of q from equation 1 - 66 + 4p + ( - p + 36 ) = 0 - 66 + 4p - p + 36 = 0 3p - 30 = 0 3p = 30 p = 30/3 p = 10 Substitute the value of p in equation 1 q = - p + 36 q = - ( 10 ) + 36 q = - 10 + 36 q = 26 |
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| 2. |
3x-2=+4x+8. please solve me this very fast. i will mark you as brainliest |
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Answer» ANSWER: x=-10 Step-by-step EXPLANATION: |
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| 3. |
Ss Mark the correct option1- eum of two negative number isalwaysa Positiveb) Negativea0 |
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Answer» A) POSITIVE............ |
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| 4. |
فسin solve-x+3n2x-3 |
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Answer» ✨✨Answer is here✨✨ ➡️✨✨see this PIC...✨✨ ✔️✔️ |
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| 5. |
Sort these fractions in ASCENDING order. 1/3 3/7 1/4 2/5 |
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Answer» Answer: 2/5,1/3,1/4,3/7 Step-by-step EXPLANATION: HOPE this helps u PLEASE MAKE me a BRAINLIEST answer |
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| 6. |
Use earlid's e algorithm totia ooano270 |
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Answer» I don't UNDERSTAND that ONE is |
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| 7. |
rishika went to a store to buy sugar. The price list at the store should is 81/2. how much money should rishika.pay if she wants to buy 23/4kg sugar |
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Answer» Answer: I am not UNDERSTAND the QUESTION PLS send it CORRECTLY |
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| 8. |
Find the compound interest when the rate is 6.25% , principal is ₹1275 and time is 1 year |
Answer» • ACCORDING to given QUESTION : |
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| 9. |
Find the compound interest when the rate is 6.25% principal is ₹1275 and time is 1 years |
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Answer» ✨✨Answer is here✨✨ ➡️✨✨see this PIC...✨✨ ✔️✔️ |
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| 10. |
_____ is absolute value of - 998 |
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Answer» (+ 998) is ABSOLUTE value of (- 998) PLZ LIKE THE ANSWER AND MARK IT AS BRAINLIEST. ANSWER BY MANAS817 |
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| 12. |
F4 4 4 4 4 4 49figurswrite thethe num mrealsto labh more than 93, 456 80 |
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| 13. |
-(-416) + (-3160) evaluate it |
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Answer» = 2,744 mark as BRAINLIEST. |
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| 14. |
X^2 +1 -x^2+x= Please fast |
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Answer» |
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| 15. |
Sort these fractions in ASCENDING order. 3/5 1/10 5/8 |
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Answer» LCM of 5,10,8 = 40 24/40 , 4/40 , 25/40 4/40<24/40<25/40 1/10<3/5<5/8 hope this helps pls MARK as BRAINLIEST |
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| 16. |
Find the interest when the rate is 6.25% principal is ₹1275 and time is 1 year |
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Answer» P = Rs.1275 R = 6.25% T = 1 year Remain attach I HOPE it's helpful for you.... Click Thanks button.... Mark me as BRAINLIST.... |
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| 17. |
Find the product of the face value and the place value of 8 in the number 60,38,124. |
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Answer» FACE VALUE of 8 in 6038124 =8 place value of 8 in 6038124=8000 product=8×8000 =64000 |
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| 18. |
Why do we need intervals |
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Answer» Intervals are NEEDED because to REFRESH our SELVES to perform our BEST in approaching SITUATIONS. |
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| 20. |
Smallest 5-digit number with out repeating the digit |
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Answer» The smallest NUMBER using the digits 7 5 2 8 is 2578. WRITE the greatest 5 digit numberusing 1 2 5. The digit may be REPEATED. Since we have to make the greatest 5 digit number using 3 digits, we will repeat the greatest digit required number of times |
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| 21. |
If a, b, c are all non-zero and a+b+c=0, prove that a2/bc+b2/ac+c2/ba=3 |
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Answer» Step-by-step EXPLANATION: |
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| 22. |
Please tell what is C(2n,n-1) |
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Answer» C (2N, n-1) means that C is a point which location is 2n ALONG x AXIS and n-1 along you axis |
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| 23. |
Answer the question in side of blue box. |
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Answer» Firstly add -13/5 and 12/7 |
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| 25. |
Heya !! Diffrentiate bw mass nd weight ?? |
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Answer» Heya !! Many people get confused between mass and weight. I'd like to state that they both are completely DIFFERENT things from one another. Let's see some points about each separately.... Mass.
Weight.
Hope it HELPS !! |
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| 26. |
diagonal AC and BD of a Trapezium ABCD with ab parallel DC intersect each other at point O using similar Criterion of two Triangles show that OA/OC*OB/OD=1 |
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Answer»  |
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| 27. |
One property of square nos is "when bases are same powers are added" tell more properties |
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| 28. |
Lowest Common Multiple of 8 and 64 is |
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Answer» ✔⭐hope it HELPS you⭐✔ |
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| 29. |
What is the charge on the cavity wall and on the outer surface of an isolated conductor of any shape having net charge of +10 micro C and inside the conductor is a cavity within which is a point charge of +3 micro C? |
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Answer» -3 MICRO C on CAVITY wall and +13 on OUTER surface of isolated CONDUCTOR |
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| 30. |
a vendor had some X4 of them were broken his sold half the number of the remaining eggs and was left with 30 x at the end of the define the number of eggs he had started with what is the equation |
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Answer» 31 eggs. |
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| 34. |
change 12 into irrational number form ,pls show it step by stem with more examples , because i am studing it first time |
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Answer» Hello, thank you for posting. - What is a square root? According to the Google DICTIONARY a square root is a number that produces a specified quantity when multiplied by itself. When is a Square root root irrational? A square root is irrational when it is not a perfect square. Let's solve. In order to make 12 an irrational number it must be a square root because the square root of 12 is not a perfect square. HENCE, the answer would be Let me know if you have any further questions! @Hybolt |
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| 35. |
Please solve it guyes if u can do it than doo please okk |
| Answer» ADDITION of THREE ODD no.s is ALWAYS odd... | |
| 36. |
If one shirt is made from 12/5 m of cloth, how many shirts of the same measurement can be made from 12 m of cloth? |
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Answer» Cloth AVAILABLE = 12m Cloth needed for ONE shirt = 12/5 m . So, number of shirts to be MADE with 12m cloth = cloth available/cloth for one shirt = 12 * 5/12 = 5 Hence,5 shirts can be made out of 12m of cloth .(ans) |
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| 37. |
How many plates of 177/8 g can be made from 531/4 g of iron? |
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Answer» so 177/8 * x = 531/4 x = 531/4 * 8/177 x = (531 * 8) / (4 * 177) x = 6 6 plates can be made |
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| 39. |
Project on decimal (math)How to do?we have to write on visiting a place where you have buy many things with the money.(the money must be written in decimal) |
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Answer» According to the question you visited a MARKET and PURCHASED some articles . You can maje the project like this : |
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| 41. |
find the values of x and y if the distance of the point (x,y) from (-3,0) as well as from (3,0) are 4 |
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Answer» Góod question |
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| 42. |
Find the HCF using successive division method of 106,192,96 |
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Answer» 86÷106=R=20 20÷86=R=6 6÷20=R=2 2÷6=3 H.C.F. of 106 and 192 is 3 H.C.F. of 3 and 96 3÷96=32 H.C.F.of 106,192 and 96 is 3 |
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| 47. |
What is additive inverse number |
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Answer» A number that, when added to the FIRST number, produces zero. If[MATH]a+b=0[/math], then[math]a[/math]and[math]b[/math]are additive INVERSES of each other. Usuallywe denote additive inverses with a negative SIGN out front, i.e. the additive INVERSE of[math]a[/math]is[math]-a[/math]. |
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| 48. |
Explain the answer you will get 20 points |
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Answer» Step-by-step EXPLANATION: |
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| 49. |
Ansrrrrrrrrrrrrrrrrrrrrrrrre |
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Answer» 4. Let the middle numbers be x, y and z. Then it'll be 5, x, y, z and 6. 5xy = xyz = 6yz = 120 Consider 5xy = 6yz = 120 5x = 6Z = 120 / y On 5x = 6z, we can find that x/z = 6/5 ∴ x : z = 6 : 5 Here we can understand that x and z are multiples of 6 and 5 respectively. Let x and z be 6m and 5n respectively. xyz = (6m)y(5n) = 30myn = 120 myn = 120 / 30 = 4 If x = 6 and z = 5, then myn = 1 x y x 1 = y = 4 So we can take the 5 numbers as, 5, 6, 4, 5, 6. 5. Find the sum of digits of the number. If the sum is divisible by 3, the number is a multiple of 3. If the sum is divisible by 9, the number is divisible by 9. If the number is divisible by 9, it is also divisible by 3. 123456789 is divisible by both 3 and 9. The sum of its digits is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45. 45 is divisible by 9. 546782543 is not divisible by 3 and 9. 5 + 4 + 6 + 7 + 8 + 2 + 5 + 4 + 3 = 44 is not divisible by 3. 389457986 is not divisible by both 3 and 9. 678458886 is divisible by 3, but not by 9. 189868437756 is divisible by both 3 and 9. Hope these MAY be helpful. PLEASE MARK my answer as the brainliest if these may be helpful. Thank you. Have a nice day. |
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| 50. |
A card is selected at random from a well shuffled pack of 52 cards find the probability that the selected card is not a card of a diamond |
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Answer» 39/52...................... |
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