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.
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9.1 kg(a) 1Find x if the followings are in proportion:(a) 15, 20, 27, x(b) 15, x, 27, 36 |
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Answer» a) 15+5=2020+7=2727+9=36 b)same as (a) 15+5=20 a) 15/20= 27/x3/4= 27/x x= 36 b) 15/x= 27/3615/x= 9/1215/x= 3/4x= 20 A = 15x = 540X=540/15=36 B= 27x =540=540/27=20 |
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| 2. |
Q7 If the origin is shifted to the point (2,-3), the axes remaining parallel, find the new co-ordinates of the points (a) (2,-7), (b) (-4, 8) |
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| 3. |
27. Find the quotient and remainder when 4x' + 2x + 5x - 6 is divided by 2x² + 3x + 1. |
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Answer» 2x²+3x+1]4x³+2x²+5x-6[2x-2 4x³+6x²+2x —————— -4x²+3x-6 -4x²-6x-2 ————— 9x+8so quotient=2x-2 remainder=9x+8 2x-2 is the quotient of the given polynomial quotient = 2x-2remainder = 9x+8 |
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| 4. |
1. If 5 is added to a number, the sum is 27. Find the number. |
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Answer» Answer is may be 22. 22 is the correct answer 22 is right banswer if 27 added to number of 5 answer is 32 22 is the right answer 22 is the right answer as per the question we get, 5+X =27X=27-5X=22 5+X=27X=27-5X=22. is the correct answer 5+x = 27X = 27-5X=22 |
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| 5. |
17+ 6p = 9 |
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Answer» 17 + 6p = 96p = 9 - 176p = -8p = -8/6 = -4/3 thanked thankes |
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| 6. |
IB 2 27Find the inverse of the matrix A = -3 7 1L 3 5 -1 ]by using the method of adjoint.March 2000) |
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| 7. |
9, Can the number 4n, n being a natural number end with the digit 0? Given reasons. |
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Answer» For unit's digit to be 0, then 4n should have 2 and 5 as its prime factors, but 4n =( 2²)n. it does not contain 5 as one of its prime factors.hence, 4n will not end with digit 0 |
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| 8. |
Find the reflectionof the point (-3,-2) in axis |
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| 9. |
(5) In which quadrant will the point (-3, 2) will lie? |
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Answer» (-3,2) lie in second quadrant (-3,2) lies in second quadrant (-3, 2) lie in second quadrant as -3 is in negitive x axis and 2 is in positive y axis |
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| 10. |
8. Find the equation of the circle whose centre is (2, -5) and which passesthrough the point (3, 2). |
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| 11. |
(-6p)×(-4p) |
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Answer» 24p^2 is the correct answer of the given question (-6p)×(-4p)= 24p^2 is the answerhere (-)×(-)=+p×p=p^2 -6×-4=-24,; pxp= p^2; 25 p^2 |
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| 12. |
ii) tay8. Find the equation of the circle whose centre is (2, -5) and which passesthrough the point (3, 2) |
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| 13. |
If the origin is shifted to the point (-3, 2), axesremaining parallel, the new co-ordinates of thepoint are (i) (3,1) (ii) (-5, -4), find their old co-ordinates.2:ution: |
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Answer» New origin is (-3,2)hencenew points will beX=x-h Y=y-kX=3-(-3)=6 Y=1-2=-1hence (6,-1) |
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| 14. |
37) in a two-digit number, the sum of the digits is 7. The number with the order of digits reversed is 27greater than five times its unit's digit. Find the original number. |
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| 15. |
what is interesting lines |
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Answer» Intersecting linesIntersecting linesare two lines thatshare exactly one point.This shared point is called thepoint of intersection what is parallel lines |
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| 16. |
1.Show that the number 8" can never end with a digit zero for any natural number n. |
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Answer» For a number to end with the digit 0 it's prime factorization should have 2 and 5 as a common factor. here 8^n = (2*4)^n doesn't have 5 in its prime factorization. Therefore 8^n cannot end with the digit 0. |
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| 17. |
6p-12q |
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Answer» Factorization :6p - 12q6 ( p - 2q) |
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| 18. |
3pq+6p |
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Answer» 3pq+6p= 3p (q + 2) answer |
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| 19. |
17+6p=9 |
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Answer» 6p = 9-17 6p = -8 p = -4/3 |
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| 20. |
(a) Rabi crop |
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Answer» They are generally planted in November and harvested in April it's call Rabi crop ex.pea,gram,wheat and barely Rabi crops or rabi harvest are agricultural crops that are sown in winter and harvested in the spring in India. |
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| 21. |
4. Express y in terms of x, given that 2x -5y 7. Check whether the point (-3,-2) is on thegiven line. |
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| 22. |
A circle with centre (3, 2) passes through the point (6, 3).(a) What is the radius of the circle ?(b) Check whether each of the points with coordinates (0. 2,(0,6). (0,3) is insior on the circle. |
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| 23. |
4. A two digit number becomes five-sixth of itselfwhen its digits are reversed. The two digits differby 1. The number is |
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Answer» suppose digits are x and ydifference is one so x-y=1 so x=y+1now original number is 10x+yand reverse of number is 10y+xwhen digits are reversed number becomes 5/6 of original10y+x=(5/6)(10x+y)60y+6x=50x+5y55y=44x5y=4xnow x=y+15y=4y+4so y=4so x=5so original number is 54 |
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| 24. |
Q. 5.Show the hybridisation at all the three carbon atom of allene(2014 |
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Answer» The centralcarbonatom ofalleneforms two sigma bonds and two pi bonds. The centralcarbonis sp-hybridized, and the two terminalcarbonatoms are sp2-hybridized. The bond angle formed by thethree carbonatoms is 180°, indicating linear geometry for thecarbonatoms ofallene. |
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| 25. |
The sum of a two-digit number and the number obtained by reversingthe order of its digits is 121, and the two digits differ by 3. Find thenumber. |
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Answer» Given units digit is x and tens digit is yHence the two digit number = 10y + xNumber obtained by reversing the digits = 10x + yGiven that sum of a two digit number and the number obtained by reversing the order of its digits is 121.Hence (10y + x) + (10x + y) = 121⇒ 11x + 11y = 121∴ x + y = 11Thus the required linear equation is x + y = 11. |
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| 26. |
[pageDate73+75 |
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Answer» 148 is the right answer 148 is the answer of sum 148 is the right answer |
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| 27. |
In a two-digit natural number, the digits differ by 1. The product of the number and thenumber obtained by reversing the digits is 252. Find the number. |
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Answer» Let, Unit's place digit be x Ten's place digit be ( x + 1 ) Number = 10( x + 1 ) + x Given, product of the number and the number obtained by reversing the digits is 252. Original number = 10( x + 1 ) + x Number when digit are reversed = 10x + ( x + 1 ) Product = [ [10( x + 1 ) + x ] [ 10x + ( x + 1 ) ] = > 252 = [ 10x + 10 + x ] [ 10x + x + 1 ] = > 252 = [ 11x + 10 ] [ 11x + 1 ] = > 252 = 121x^2 + 11x + 110x + 10 = > 252 = 121x^2 + 121x + 10 = > 121x^2 + 121x + 10 - 252 = 0 = > 121x^2 + 121x - 242 = 0 = > 121( x^2 + x - 2 ) = 0 = > x^2 + x - 2 = 0 = > x^2 + ( 2 - 1 ) x - 2 = 0 = > x^2 + 2x - x - 2 = 0 = > x( x + 2 ) - ( x + 2 ) = 0 = > ( x + 2 ) ( x - 1 ) = 0 = > x = - 2 or x = 1 It is given that the required number is a natural number, so x can't be equal to - 2. Therefore, x = 1 . Then, Unit's place of the number = x Unit's place of the number = 1 Ten's place of the number = x + 1 Ten's place of the number = 1 + 1 Ten's place of the number = 2 Therefore, required natural number = xy = 21 Required number = 21 . |
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| 28. |
10.Subtract5x2-10x+8 from the sum of 4x2-6x +3 and-6x2-9x+7 |
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Answer» Please hit the like button if this helped you thanks |
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| 29. |
A man borrows rs.6000 at 5% compound interest p.a. If he repays rs.1200 at the end of each year, find the amount of loan outstanding at the beginning of each year. |
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Answer» Given Principle amount = Rs . 6000Rate of interest = r = 5% compounded annuallyInterest after 1 year = 6000 × 5 × 1100 = 60× 5 = Rs . 300Total money owed after 1 year = 6000 + 300 = 6300Rs. 1200 paid , SoTotal money starting of second year = 6300 - 1200 = Rs.5100Interest after 2 year = 5100 × 5 × 1100 = 51× 5 = Rs . 255money owned after 2 year = 5100 + 255 = 5355AndRs. 1200 paid , Total money outstanding starting of Third year = 5355 - 1200 = Rs.4155 |
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| 30. |
SubjectDatedTest No. |
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| 31. |
03rabina borrows Rs 12.500 at l 2% per İnnum for 3 years at simple!Radha borrows the same amount for the same time period at 10% perd anqually. Who pays more interest and by how muc |
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| 32. |
Find greatest number of four digit which is a perfect square....... |
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Answer» 9999 is largest 4 digit number, and100^2 is10000, or 1 greater than the largest 4 digit number. This means that the closest square root of the largest perfect square is most likely99. So99^2 (9801)is the largest perfect square of four digits |
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| 33. |
Find the interest that a person has to pay ifhe borrows Rs. 30,000 from a bank for a periodof five years at a rate of 10% per annum. |
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Answer» thanks |
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| 34. |
4.years at 8% perThe simple interest on Rs 12000 for 3annum is :209 |
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Answer» P=12000, R=8% p.a., T=7/2 =3.5 Years S.I. = (P×R×T)/100= (12000×8×3.5)/100 =12×8×35=3360 |
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| 35. |
8. A and B can finish a piece of work in 6 days and 4days respectively. A started the work and workedfor 2 days. He was then joined by B. Find thetotal time taken to finish the work. |
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| 36. |
Find all possible values of Y for which the 4- digits number 5ly3 is divisibleby 9. |
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| 37. |
CONCHECK POINT 3.4Which of the following numbers are not perfectsquares?(1) 91(ii) 169(iii) 162(iv) 225 |
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Answer» answer:::::::::::162 |
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| 38. |
1. Which of the following numbers are perfect squares?(i) 676(ii) 525(vw) 1089(ii) 625 |
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Answer» 676 is perfect square , 525 is not perfect square , 625 is perfect square , 1089 is also a perfect square 625 is A perfect dquare |
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| 39. |
& The sum of a two-digit number and the number formed by reversing the order of digits is 66If the two digits differ by 2, find the number. How many such numbers are there? INCERTI |
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Answer» Let the ten’s and the unit’s digits in the first number be x and y, respectively. So, the first numbercan be written as 10x + y in the expanded form. When the digits are reversed, x becomes the unit’s digit and y becomes the ten’s digit. This number, in the expanded notation is 10y + x. According to the given condition. (10x + y) + (10y + x) = 66 11(x + y) = 66 x + y = 6 ... (1) Youare also given that the digits differ by 2. Therefore, either x – y = 2 ... (2) or y – x = 2 ... (3) If x – y = 2, then solving (1) and (2) by elimination, you get x = 4 and y = 2.In this case, the number is 42. If y – x = 2, then solving (1) and (3) by elimination, you get x = 2 and y = 4.In this case, the number is 24. Thus, there are two such numbers 42 and 24. |
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| 40. |
Example 13 : The sum of a two-digit number and the number obtained by reversingthe digits is 66. If the digits of the number differ by 2, find the number. How many suctnumbers are there? |
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| 41. |
5x2 + 2x +8=0 |
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| 42. |
Launuo(27-lvianus1. Subtract 3x2 + 10xy - 8 from 5x2 + 6xy +2. |
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Answer» Bhai iska answer Shi bnaya gya h 2x^2-4xy+10is the correct answer 2x²-4xy+10 is correct answer the answer is (xy)=5 |
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| 43. |
8. Subtract 5x2-6y2+ 8y - 5 from 7x2 - 5xy+ 10y2+ 5x- |
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Answer» 5x² – 6y² + 8y – 5 from 7x² – 5xy + 10y² + 5x – 4y (7x² – 5xy + 10y² + 5x – 4y) - (5x² – 6y² + 8y – 5) = 7x² – 5xy + 10y² + 5x – 4y - 5x² + 6y² - 8y + 5 = 7x² - 5x² - 5xy + 10y² + 6y² + 5x - 4y - 8y + 5 = 2x² - 5xy + 16y² + 6y² + 5x - 12y + 5 |
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| 44. |
Find the zeroes of the following polynomial:5/5x2+30x +8/5 |
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Answer» 5√5x² + 30x + 8√5 splitting the middle term = 5√5x² + 20x + 10x + 8√5 = 5√5x² + 4 × 5x + (2√5 ) × √5 x + 2√5 × 4 = 5x ( √5x + 4 ) + ( 2√5 ) [ √5x + 4 ] = ( √5x + 4 ) ( 5x + 2√5 ) I hope this helps you. |
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| 45. |
The difference between a two digit number and thenumber obtained by reversing the digits is how manytimes of the difference of the two digits(2) 9(4) 8(3) 7 |
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Answer» let the two digit number be 10a+b10a+b-10b-a=9(a-b) option 2 is the answer |
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| 46. |
90017 019 |
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| 47. |
5Using integration find the areaY=2x+1, y = 3x + 1 and x = 4.ofthetriangularregionwhosesideshavetheequations |
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| 48. |
3x2-7x+3 |
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| 49. |
-3x2+7x-4 |
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Answer» -3x² + 7x - 4 -(3x² - 7x + 4) - ( 3x² -3x - 4x + 4) - ( 3x(x - 1) -4(x - 1)) - ( 3x - 4) ( x - 1) ( 1 - x) ( 3x - 4) |
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| 50. |
(iii) 3x2-7x-6 |
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