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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-141. The product of two rational numbers is **. If one of the numbers befind the other.27 |
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Answer» -2/3 is the correct answer of the given question |
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| 2. |
14. Find two rational numbers between -3 and -2. |
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Answer» nos. -3×10 -2×10 =-30=-20 rational nos. = -29, -28 |
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| 3. |
The sum of two rational numbers is -1/2. If one of the numbers is 5/6, find the other. |
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Answer» 5/6+x=-1/2x=-1/2-5/6=(-3-5)/6=-8/6=-4/3 |
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| 4. |
19 B'are the geroes of the polynomial 29 +14+5..wüte the value of a+B+'opTMapolunonin.42)leno |
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Answer» 2y^2+7y+5let p and q be zerossum of zeros= -b/ap+q= -7/2product of zeros= C/apq= 5/2p+q+pq= -7/2+5/2=-7+5/2= -2/2=-1in my mobile alpha bita is not coming so I write p q |
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| 5. |
he potat p(a,b lies in tthe v th quadhort usbldh09 |
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Answer» We know in fourth quadrant, x coordinate is positive and y coordinate is negitive. Therefore, a > b . So, b must be smaller |
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| 6. |
Find the rational number and two irrational numbers between \sqrt{2} \text { and } \sqrt{3} |
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| 7. |
21. Order from least togreatest50%52(a) If your answer iscolor the sky blue.5(b) If your answer iscolor the sky grey. |
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Answer» A) is the right answer |
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| 8. |
ーー0.-Withoutu sırıcyisinc0n4. formulafor thsumーナーfind-the-y sum-of-theSexte |
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Answer» This series is an A.P so, here a = -10 , d = 4 and 20th term will be a20 = a+(20-1)d = -10+19*4 = 66 so, sum till 20 terms will be s20 = n/2*(a+l) = 20/2*(-10+66) = 10*56 = 560. |
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| 9. |
1.Find two rational numbers between -2 & 5. |
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Answer» Two rational between -2 and 5 are -1, 0, 1, 2 |
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| 10. |
L Equation (4) from Equation(4x - 4x) + (6y -6y)-16-7i.e.,Th09, which is a false statementerefore, the pair of equations has no solution.Example 13 : The sum of and thethe digits is 66. If the digits of the number differ by 2. find thenumbers are there?a two-digit number and the number obtained by revenumber. How many s |
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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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| 11. |
1 Find two rational numbers between -2 and 5 |
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| 12. |
Find two rational numbers between 5 and 6. |
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| 13. |
Rolli |
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Answer» Here is a similar question. |
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| 14. |
/2 and /3 two rational number |
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Answer» Please mention what needs to be done with the question. |
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| 15. |
The sum of two rational numbers is-3/7 . If one of the number is 5/8 , find the other. |
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Answer» -41/7 is the correct answer of the given question -41/7 is the correct answer |
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| 16. |
20 Usop29. The CP of 11 articles is equal to the S.P. of 10 articles. find the profit percent?(a) 10 % (b) 15 % (c) 20 % (d) none of theseirts for Rs 2148 is the same as lo ured |
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| 17. |
Find the amount of 4 notes of 20 rupees each. |
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Answer» Each note amount is Rs 20 Total amount of 4 notes is Rs20×4=Rs80 |
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| 18. |
1.Find the amount of 4 notes of 20 rupees each. |
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Answer» Ans :- One note = 20 rupees 4 notes = 20 × 4 = 80 rupees |
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| 19. |
9. If Q(0, 1) is equidistant from P(S, -3) and R(r, 6), find the values of x. Also find thdistances QR and PR. |
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| 20. |
I sum of the square of zeros of the quadratic polynomial f(x)=x2- 8x + kis 40. find the value of k |
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Answer» For equation x^2 - 8x + k let a and b are zeroes Then, a + b = - (-8)/1 = 8ab = k/1 = k Given, a^2 + b^2 = 40 (a + b)^2 = a^2 + b^2 + 2ab64 = 40 + 2k2k = 64 - 40 = 24k = 24/2 = 12 |
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| 21. |
Q3. Find the value of K if the quadratic polynomial 2x -3kx + 5 has 9 as the sumof its zeros.thth |
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Answer» Alpha+ beeta= 3k/2= 93k= 18k= 6 |
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| 22. |
Now, 3(3) 8 -24.7 (7428 andClearly. 28 -25Hence,55x8 = 40 , 10-10×4 . 4040 40 407-5 3-<-, i.e.. __ <-7 -5 3<EXERCISE 1A-3Express as a rational number with denominator(i) 20Express as a rational number with denominatorxpress as a rational number with denominatopress each of the following rational numbers in sJH) -303j 3598 as a48 |
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Answer» Rational number with positive denominators: iiMultiplying the number by−-1, we get: −15−28=−15×−1−28×−1=1528-15-28=-15×-1-28×-1=1528 iiiiMultiplying the number by−-1, we get: 6−9=6×−1−9×−1=−696-9=6×-1-9×-1=-69 iiiiiiMultiplying the number by−-1,we get: −28−11=−28×−1−11×−1=2811-28-11=-28×-1-11×-1=2811 ivivMultiplying the number by−-1,we get: 19−7=19×−1−7×−1=−197 which following integers as rational number 42 write three equal mint rice ratios numbers with denominator 98 - 105 and 245 corresponding rational number 2 by 7 |
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| 23. |
. The sum of three numbers in A.P, is 21 and product is 315, Find the numbers.l th sum of their squares is 59. Find t |
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Answer» let the numbers be (a-d),(a),(a+d) therefore,ATP(a-d)+(a)+(a+d)=21thus,3a=21a=7 again,ATP (a-d) (a) (a+d)=315(49-d*d)= 45 d*d=4thus,d=2. or -2 thereforethe numbers arewhen d=27-2 =57. =77+2 =9 when d=-27+2 =97 =77-2 =5 |
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| 24. |
Half more than a rational number multiplied by 7 gives 17. Find the rational number. |
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Answer» x/2 + 7 = 17/2 x+14 = 17 x = 3 |
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| 25. |
18. The product of two rational umbersis 5, find the7If one of the rational number isother rational number. |
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Answer» Given, product of 2 rational no.s =48/5One of the no. is 66/7.So, let the other no. be 'x'. Now, A. T. Q. 66/7 * x = 48/5x=48/5 / 66/7x=48/5 * 7/66x=8/5 * 7/11x=56/55Hope it will helpvyou understand..... |
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| 26. |
नमन4 रई] kR 6"o - MAman .QLR 9 Ik b2k |
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| 27. |
7. The product of two rational number is 2. If one of the rational number is 117. Whatis the value of other? |
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Answer» Same as above it is right the other national number is 14 |
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| 28. |
(11)-422. Express as a rational number with denominator 7.98-483. Express as a rational number with denominator 5.60 |
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| 29. |
the lines aiveh by322+kr |
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| 30. |
A rational number 7/12 is equal to the sum of the two rational numberOne is(-3/8) what is the other one? |
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| 31. |
have Rs 1000 in ten and five rupee notes. If the number of ten rupee notes thatave is ten more than the number of five rupee notes, how many notes do I haveeach denomination? |
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| 32. |
) 1443. Rasik has thrice five rupee notes than 10 rupee notes Ramesh has. The total amount withthem is 300. How many five rupee notes Rasik has with him?(1) 36 (2) 30 (3) 12 (4) 6 |
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| 33. |
Name...1. Rohan has three more five rupee notes than tenrupee notes. If he has 195 in total, how manynotes of each kind he has?(2) |
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Answer» Let ten rupees note=10x5 rupees note=5(x+3)=5x+1510X+(5x+15)=19515x+15=19515x=195-15=180X=12So,10 rupees note=12And 5 rupees note=x+3=15 He has 12 notes of 10 and 15 notes of 5 = |
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| 34. |
howmanyjambhultreeswereplanted?Shubhangi has twice as many 20-rupee notes as she hasshe has 2700 rupees.6.How many 50-rupee notes does she have?less than a |
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Answer» Suppose 50 rupee notes are x so 20 rupees notes are 2x Total 2700 Rs. 50×x + 20×2x = 2700 5x + 4x = 270 9x = 270 x = 30 50 rupee notes are 30. If you find this answer helpful then like it. |
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| 35. |
20. I have Rs 1000 in ten and five rupees notes. If the number of ten rupee notes that I have is ten morethan the number of five rupee notes, how many notes do I have in each denomination? |
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| 36. |
The number is -62 od 26The area of a rectangular Feld is 2 to in? Had itslength bein sm Poss and the breadth 2001more the field would have been in the sharf square find the Diameter of the field |
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| 37. |
If α and β are the zeroes of a quadratic polynomial such that α + β-24 apolynomial having α and β itsthe polynomialnd αβ-8 Find the quadratic20d as its zeroes. Verify the relationship between the zeres and coeffients oze |
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| 38. |
If the zeroes of the polynomial x3 -9x2 +26x24 are (α+β). Find α andp. |
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| 39. |
Find all zeroes of the polynomial (24-9x35x2+3x - 1) if two of its zeroes are(2+V3) and (2-3). |
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| 40. |
Factorize the polynomial x3 -5x2 -2x + 24 |
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Answer» Explanation : x*x*x - 5x*x - 2x + 24 = x*x*x - 3x*x - 2x*x + 6x - 8x + 24 = x*x(x-3)-2x(x-3)-8(x-3) = (x-3)(x*x-2x-8) = (x-3)(x-4)(x+2) Solution : (x-3)(x-4)(x+2) If you find this answer helpful then like it. |
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| 41. |
24. If a and B are the zeros of the polynomial f(x) = x2 + x-2, find the valu |
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Answer» the correct answer is 12 sq.-m alpha =1 beta =(-2) by factorisation 1/alpha +1/beta 1/1+1/(-2) 1/2 hope you understand The correct answer is 3/2 |
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| 42. |
. 11. Factorise the polynomial 2x2 +11/2 x+24 by splitting the middle term. |
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| 43. |
If two zeroes of the polynomial x'-13x '+52x2-64x+24 are 3+/5 and3-V5, find other zeroes. |
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| 44. |
#What must be added to 449 +243-2x +4-1 so thatthe resulting polynomial is divisble by y2 +24-32 |
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| 45. |
The value of k for which zeroes of polynomial kr? + 4x + 4 are a and b are related as a? + b2 = 24 is ---- |
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Answer» kx^2+4x+4=kx^2+2x+2x+4====x(kx+2)+2(x+2)=( x+2)(kx+2); x=2; k=-2 |
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| 46. |
I. Choose the correct answer.4x1-61. Which of the following is a Pythagorean tripleta) 3, 4,5 b) 5,12, 14c) 6,8,11d) 8, 5, 17 |
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| 47. |
1,The sam of库termsof an AP. is(32-4x1. Determine the AP, and find its rth term. |
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| 48. |
arldentify the terms and their coefficients for4x12. |
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Answer» Given expressionx^2/2 - y^2/2 + 4xy Terms and their Coefficients: Term : x^2, Coefficient = 1/2 Term : y^2, Coefficient = - 1/2 Term : xy, Coefficient = 4 |
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| 49. |
(b)C.P.10000 and Loss%12% |
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| 50. |
5.S.P. -JJJ,%2. S.P. = * 21937.50, Loss = 12 |
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Answer» dry eu suboot spa I'll |
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