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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EXERCISE 5.1which of the following situations, does the list of numbers involved make an arithmetic.The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for eacmoves-ofprogression, and why?additional km. |
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| 2. |
20,UTWrite 4 pairs of integers (a, b) such that axb=-4. |
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Answer» Soa= 1b= -42)a= -1b= 43)a= 2 b= -24)a=-2b= 2 |
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| 3. |
Manav bought a scientific calculator for 7000He sold it to Sahil at a 5% profit. Again Sahilsold the calculator to Karan at a 5% loss. Findthe price at which Karan bought the calculator. |
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| 4. |
) If the product of two numbers is 2,250 and G.C.D is 15 find the LCM ?1) 150 ~2)240 3) 300 4) 360 |
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| 5. |
find the Number which is 15 •\• less than 240 |
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Answer» Let the number be nThen as per given conditionn = 240 - 240*(15/100) = 240(1-3/20) = 240(17/20) = 12*17 = 204 Number is 204 |
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| 6. |
114, 180, 384(a) 48, 60(0) 24, 11)2. Find the LCM using the division method.(a) 96, 128, 240 (b) 6, 18, 30, 48(c) 12, 15, 19, 24 |
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| 7. |
-Simplity |
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Answer» 29.34 is the correct answer of the given question |
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| 8. |
Simplity is 603 +502 |
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Answer» 11√15 is your answer 6V3+5×2V3=6V3+10V3=16V3 6V3+ 5x2V3=6V3+10V3=16V3 6√3+5√3*2*2= 6√3+4*5√3=6√3+20√3=2√3(2+10)=2√3*12=24√3 6√3+5√125√12 can be written as 5×√4×3=5×√4×√3=5×2×√3=10√3here the roots are same so we can add directly6√3+10√3=16√3 6√3+5√12=6√3+5√2×2×3=6√3+5×2√3= 6√3+10√3=16√3 11under root 15is correct answer |
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| 9. |
Simplity 10216(7 6-4) |
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Answer» thank you |
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| 10. |
3125sSimplity 243 |
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Answer» (3125/243)^[-4/5]= (5/3)^[5*-4/5]= (5/3)^-4= (3/5)^4= 81/625 ans |
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| 11. |
15.Area of the four walls of a room is 240 m2. The length and breadth are inthe ratio 3:2. If the height of the room is 3m, find the area of the floor. |
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Answer» thanks for that.......👍👍👍👍 |
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| 12. |
13) 240 + 160- 1135a) 3.19 b) 316 c) 3.112 d) 3/15 |
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Answer» √240 + √60 - √135 { √240 = 4√15 } { √60 = 2√15 } { √135 = 3√15 }put value = 4√15 + 2√15 - 3√15 = 6√15 - 3√15 = 3√15 answer Hence, the correct option will be (c) 3√15 option D is the correct answer |
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| 13. |
i) The taxi fare after each km when the fare is? 15 for the first km and 8 for eachadditional km. |
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| 14. |
1) The taxi fare after each km when the fare is15 for the first km and 3 for eachadditional km. |
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Answer» Fare for 1st km = Rs. 15 Fare for 2nd km = Rs. 15 + 8 = Rs 23 Fare for 3rd km = Rs. 23 + 8 = 31 Here, each subsequent term is obtained by adding a fixed number (8) to the previous term. Hence, it is an AP |
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| 15. |
(i) The taxi fare after each km when the fare is? 15 for the first km and8 for eachadditional km. |
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| 16. |
5. Write the decimal expansion of - |
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Answer» Decimal expansion of 3/13=0.230 |
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| 17. |
The taxi fare after each km when the fare is ? 20 for the first km and rises by 8 for each additional km |
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| 18. |
X+5+7=15 |
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Answer» X+12= 15x= 15-12= 3 x+5+7=15x+12=15x=15-12x=3 |
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| 19. |
3I. Simplify (VX2)i. |
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Answer» [(x^2)^1/3]^3/4=[(x)^2/3]^3/4= (x)^[6/12]= (x)^1/2= sqroot (x) |
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| 20. |
Simplity 2 log, 2Simplity los.ca os |
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| 21. |
Simplity: (-2-√3) (-2+√3) |
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| 22. |
2. Simplity(i) 12x - (5x + 2x) |
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Answer» It is simplified as 12x-(7x)=5x |
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| 23. |
Simplity 3-2 +2by rationalizing the denominator |
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Answer» plz ans |
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| 24. |
2-/3Simplity, 2+3by rationalizing the denominator. |
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Answer» (2-√(3))/(2+√(3))=(2-√(3))(2-√(3))/(2+√(3))(2-√(3))=(2-√(3))²/(2²-√(3)²)=(4-4√(3)+9)/(4-3)=13-4√(3) |
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| 25. |
6. Simplity: (e) log1o (10/2) (b) olog1o 10(e) 2 log10 +3log: (a) log |
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Answer» (a) (b) (c) |
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| 26. |
Exercise 37o chocolates are shared equally by 5 children, how manywill each child get |
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Answer» No of chocolate=40No of children=5No of chocolate for each children=40/5=8 8 chocolate for each chidrens 8 chocolate for each children |
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| 27. |
5. if 2/3 . of cloth is shared equally by 10 people, calculate the length of clothreceived by each person. |
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Answer» Total length=2/3 m=200/3cm Cloth shared by 1 person=(200/3)/10=20/3cm |
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| 28. |
EXERCISE 10.51. In Fig. 10.36, A.B and C are three points on acircle with centre O such that < BOC 30° andZ AOB 609. IfD is a point on the cirele otherthan the arc ABC, find ZADC |
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| 29. |
3. Write the following examples using fractions.(i) If 9 kg rice is shared amongst 5 people, how many kilograms of rice does eachperson get? |
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| 30. |
EXERCISE 10.5. In Fig. 10.36, A.B and C are three points on acircle with centre Osuch that BOC 30° and<AOB 60°. If D is a point on the circle otherthan the arc ABC, find ZADCFig. 10.36 |
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Answer» ∠AOB = 60° ∠BOC= 30° Here,∠AOC = ∠AOB + ∠BOC ∠AOC = 60°+30° ∠AOC = 90° Since Arc ABC makes an angle of 90° at the centre of the circle. ∠ADC= 1/2∠AOC [SINCE THE ANGLE SUBTENDED BY AN ARC AT THE CENTRE IS DOUBLE THE ANGLE SUBTENDED BY IT AT ANY POINT ON THE REMAINING PART OF THE CIRCLE] ∠ADC= 1/2(90°) ∠ADC= 45° Hence, ∠ADC= 45° thanks sur ben thanks |
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| 31. |
8. In a school library, the ratio of Mathematics toScience books is 2 3. If there are 378 Sciencebooks, find the number of Mathematics books. |
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Answer» 3x/5 = 378 x = 378*5/3 x = 630 books in total Mathematics books = 630 - 378 = 252 books |
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| 32. |
MATHEMATICSVx2 +2x +2 |
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Answer» 1st |
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| 33. |
I. In Fig. 10.36, A,B and C are three points on acircle with centre O such that Z BOC 30° andAOB = 60°. If D is a point on the circle otherthan the arc ABC, find ZADC. |
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| 34. |
EXERCISE 10.5In Fig. 10.36, A,B and C are three points on acircle with centre O such that Z BOC 30° andAOB = 60°. If D is a point on the circle otherthan the arc ABC, find ZADC. |
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| 35. |
5. If ratio of corresonding sides of two similar triangles is 4:9, then the ratio of their areas isa) 81:16c) 2:3b 16:81d) 94 |
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Answer» For similar triangles Area1/Area2 = (length 1/length)^2 Given (length1/length2) = 4/9 Hence, Area1/Area2 = (4/9)^2 Area1/Area2 = 16/81 Therefore, ratio of area of triangle = 16:81 (b) is correct option |
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| 36. |
เคนเค Fi4 If E - 8!,mdx |
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| 37. |
Evaluate (16/81)^4 |
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Answer» evaluate (16/81)^1/4now 2^4=16and 3^4=81hence (16/81)^1/4=2/3 thanks |
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| 38. |
decimal expansion of 7√125 will terminate after how many decimal places |
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Answer» three digits from left three digits from left |
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| 39. |
B*(sqrt(3)*E)=(D*E)/sqrt(3) |
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Answer» BE×3=ED is the right answer the right answer is BE×3=ED |
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| 40. |
After how many decimal places will the decimal expansion ofterminate?23 |
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Answer» If the denominator of a rational number is of the form 2n5m, then it will terminate after n places if n>m or m places if m>n. The given rational number is 43/24*53 Here, n = 4 > 3 = m So, the given rational number will terminate after 4 places. |
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| 41. |
After how many decimal places will the decimal expansion of2terminate? |
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Answer» The term will reduced to 0.0115 in decimal form so, after four digits it will terminate |
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| 42. |
26After how many decimal places will the decimal expansion of 3gpterminate?235 |
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Answer» no it is not a answer |
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| 43. |
Q.8. How many decimal places are there in decimal equivalent of 125? |
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| 44. |
5/9 %2B 7/9 |
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Answer» 5+7/9 = 12/ 9 describe 5 add 7 upon 9 is equal to 12 upon 9 it is final answer 5/9+7/9=5+7/9=12/9=4/3ans 5/9+7/9so first we see the denominator of both no are same or not .we see that the denominator of both no is same then add the numerator of both no.and the sum of numerator will be 12then,12/9 is ans. but when we do in simplest form the answer will be4/3. 5/9+7/9 = (5+7)/9 = 12/9 = 4/3This is answer. 5/9+7/9 5+7/9=12/9 =4/3 Solution: 5/9+7/9 = 5+7/9 = 12/9 = 4/3 ans. 5/9+7/9 =12/9=4/3 is aright answer of this question 4/3 Right answer of this question is 4/3 5/9+7/9=(5+7)/9=12/9=4/3=1.333 5/9+79=12/9Take the LCM of denominator and after that add the numerator so LCM =9 and when add tha 5+7 = 12 so answer will be12/9 (5/9+7/9)= 1.3333333333333 5/9+7/95+7/912/94/3 =5+7 ÷ 9. =12÷9 =4/3 (5÷9)+(7÷9)=.55+.77=1.32 4/3 is correct answer after solve this problem 5/9+7/9= 5+7/9= 12/9= 4/3 4/3 =5/9+7/9=5+7/9 = 12/9 = 4/3 5/9+7/9=12/9answer is 4/9. (5×9)+(7×9)45+63108÷9+9108÷186 5/9+7/9=7+5/9=12/9=4/3 (5/9) +(7/9) =(5+7) /9=12/9 the answer is 12/9 it is correct answer 12/9 answer final correct friend 12/9 ye to bahut aasan sawal hai 12 |
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| 45. |
(-2)/3 %2B 5/9 %2B 7/9 |
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Answer» -2/3+5/9+7/9=-2/3+12/9=-2/3+4/3=2/3 |
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| 46. |
Simplify-(2)25=10 |
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Answer» x+5=10x=10-5x=5 this is the correct answer x+5=10x=10-5 x=5this is the answer x+5 = 10= x = 10- 5 = x = 5 the answer is x=5 is correct 5 is the right answer X=5 is a good answer x+5=10x=10-5if we minuse 10 from 5 we have get answerx=5 x=10-5x=5any doubt then ask i am ready to answer you |
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| 47. |
Oyydr-3325. Simplity1681 |
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Answer» {(16/81)^-3}^1/12 = (16/81)^[-3/12] = (16/81)^-1/4 = (81/16)^1/4 = (3/2)^4/4 = 3/2 Question is incomplete post a complete question |
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| 48. |
Simplify25 29a) |
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| 49. |
25. Simplify: 3n+1 -212" +2n+1A. 1C. 3E. of theseB. 2D. 7 |
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| 50. |
-find the other.11. The sum of two rational numbers is. If one of the numbers287-13-132111 muhtrooted fromto get- |
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