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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. |
Solve the following using laws of exponent. a) (-5/9)-² × (-3/5)-³ × (3/5)^-0b) {(-3/7)²}-³c) {(-7/9)-³ × (-9/7)-³}÷(-7/9)-³d) (5-² × 2-²) × 10²e) (-3/2)-⁴ × (-3/2)f) {(-1/3)-⁴ ÷ (-1/3)^-5}³Please help me. |
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Answer» Here are some solved examples on exponents using the laws of exponents.1. EVALUATE the exponent:(i) 5-3(ii) (1/3)-4(iii) (5/2)-3(iv) (-2)-5(v) (-3/4)-4We have:(i) 5-3 = 1/53 = 1/125(ii) (1/3)-4 = (3/1)4 = 34 = 81Here are some solved examples on exponents using the laws of exponents.1. Evaluate the exponent:(i) 5-3(ii) (1/3)-4(iii) (5/2)-3(iv) (-2)-5(v) (-3/4)-4We have:(i) 5-3 = 1/53 = 1/125(ii) (1/3)-4 = (3/1)4 = 34 = 81Step-by-step explanation:Solution:(-2/7)-4 × (-5/7)2= (7/-2)4 × (-5/7)2= (-7/2)4 × (-5/7)2 [Since, (7/-2) = (-7/2)]= (-7)4/24 × (-5)2/72= {74 × (-5)2}/{24 × 72 } [Since, (-7)4 = 74]= {72 × (-5)2 }/24= [49 × (-5) × (-5)]/16= 1225/163. Evaluate: (-1/4)-3 × (-1/4)-2Solution:(-1/4)-3 × (-1/4)-2= (4/-1)3 × (4/-1)2= (-4)3 × (-4)2= (-4)(3 + 2)= (-4)5= -45= -1024.4. Evaluate: {[(-3)/2]2}-3Solution:{[(-3)/2]2}-3= (-3/2)2 × (-3)= (-3/2)-6= (2/-3)6= (-2/3)6= (-2)6/36= 26/36= 64/7295. Simplify:(i) (2-1 × 5-1)-1 ÷ 4-1(ii) (4-1 + 8-1) ÷ (2/3)-1Solution:(i) (2-1 × 5-1)-1 ÷ 4-1= (1/2 × 1/5)-1 ÷ (4/1)-1= (1/10)-1 ÷ (1/4)= 10/1 ÷ 1/4= (10 ÷ 1/4)= (10 × 4)= 40.(ii) (4-1 + 8-1) ÷ (2/3)-1= (1/4 + 1/8) ÷ (3/2)= (2 + 1)/8 ÷ 3/2= (3/8 ÷ 3/2)= (3/8 ÷ 2/3)= 1/4 |
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| 3. |
What is ans of this question I am confused very much |
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Answer» ExpressionsStep-by-step EXPLANATION: |
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| 4. |
the length of a rectangular sheet of paper is3535 cm and the breadth is2525 cm, then the perimeter of the paper is |
| Answer» PERIMETER of rec=2(l+b)=2(3535+2525)=2(6060)=12120cm | |
| 5. |
Why is a sphere a unique kind of solid? justify. plz answer me in brief. its for 3 marks.... |
| Answer» BEACAUSE when we check about it we will SEE that it will be Three dimensions CLEARLY.... I hope this is fineThank youStep-by-step explanation: | |
| 6. |
Verify distributive of multiplication over addition for a=-3/4 , b=2/3 , c=-5/6 |
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Answer» they are DIVIDE if they are MULTIPLICATION then we USE DISTRIBUTIVE of multiplication over ADDITION |
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| 7. |
22. रैखिक आलेख बनाइए। Draw the linear graph PAवर्ष2003200420052006थ्दन810512 |
| Answer» 2005 Step-by-step EXPLANATION:i HOPE you are UNDERSTAND | |
| 10. |
(-9)-dash equal16 what is the answer please tell me experts |
| Answer» GOOD QUESTION KEEP it up good JOB | |
| 11. |
3. The product form of ab2 is |
| Answer» 2*a*b=ab2 or 2AB Step-by-step EXPLANATION: | |
| 12. |
Plz answer this this those how don't know the answer stay away |
| Answer» OK I will GIVE you ANSWER | |
| 13. |
1.Prepare a place value chart stating one example and write its decimal number in Standard form, Word form and Expanded form. 2. Write the formula to calculate speed and state the relation between Speed,Distance and Time. Give one example showing how to convert km/hr to m/sec and m/sec to km/hr. |
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Answer» I don't know this ANSWER please FOLLOW and MARK as brainliest |
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| 14. |
इस फेयर ऑफ कंप्लीमेंट्री एंगल्स आर इन द रेश्यो 3 : 7 दिन फाइंड द बिगर एंड गर्ल |
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| 15. |
SIПО 2 Чо - 210ч - Ч2.6bh 16.2560 + ЧО |
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Answer» hehduusheheuurbdy DRIVE xybd |
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| 16. |
A number decreased by 40% gives 135.The number is ?? |
| Answer» DEAR, SEARCH it on Google don't waste your time over hereStep-by-step explanation:LIKE | |
| 17. |
Without actual division show that the following rational number is terminating decimal 149/250 |
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Answer» en number is 149/250. Its DENOMINATOR is 250 = 2¹ × 5³.Thus, the denominator of 149/250 has no prime factor other than 2 and 5. THEREFORE, 149/250 is expressible as a TERMINATING decimal. |
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| 18. |
Negative of five is |
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Answer» The ANSWER is:Step-by-step explanation:NEGATIVE of five is-5Please MARK me as BRAINLIEST. |
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| 19. |
I am a two digit feilme .The sum of my digitsusz. My tens digeis geceater than the once digct byl wsam I? |
| Answer» EDIT this QUE !Step-by-step EXPLANATION:MAKE me as BRAINALIST | |
| 21. |
How many prime numbers are less than 40 |
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Answer» Here are the first few prime numbers LESSER than 40 : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc. |
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| 22. |
The correct statement of 4x(x² -3x +7) |
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Answer» ∴ x² = 1/2 OR x² = 7/2Step-by-step explanation:⇒ 4X (x² - 3x + 7)⇒ 4x³ - 12x² + 7xLet a² = x³⇒ 4a² - 12a + 7⇒ 4a²+ 2A - 14A + 7⇒ 2a (2a - 1) - 7 (2a - 1)⇒ (2a - 1) (2a -7)∴ 2a - 1 = 0 OR 2a - 7 =0⇒ a = 1/2 OR a = 7/2∴ x² = 1/2 OR x² = 7/2 |
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| 23. |
The price of sugar was reduced from 745 per kg to 342 per kg. Find the percent age decrease in the price of sugar. |
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Answer» Sorrrrrryyyyy............. |
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| 25. |
Use the formula a (b+c)=a×b+a×c to solve : 80×125 |
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Answer» -STEP EXPLANATION:a(b+c) = a×b+a×c80×(120+5) = 80×120+80×580×125= 9600+40010000= 10000 |
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| 27. |
Answer the 6th question in the first main and the the 2nd question of second main |
| Answer» PDF was not OPENING PLEASE SENT REPORT | |
| 28. |
It Takes 1/2 Minute To Cook One Dosa. How Many Dosas Can Be Cooked In 1/4 Hour. (Which Operation is Needed Here Multiplication Or Division etc.) |
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Answer» -STEP explanation:2 DOSA can be COOKED in 1/4 houryour ANSWER BRO |
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| 29. |
8. The areas of two circles are in the ratio 49:64. Find the ratio of their circumferences. |
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Answer» 7:8Step-by-step EXPLANATION:πr2:πR2r2:R2=49:64r:R=7:8 |
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| 30. |
What is rational algebraic expression of x²-+3x-4/x³-1 |
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Answer» (x^5 + 3 x^4 - x^3 - 4)/x^3Step-by-step EXPLANATION:RATIONALIZE the FOLLOWING:x^2 + 3 x - 1 - 4/x^3Put each term in x^2 + 3 x - 1 - 4/x^3 over the common denominator x^3: x^2 + 3 x - 1 - 4/x^3 = x^5/x^3 + (3 x^4)/x^3 - x^3/x^3 - 4/x^3:x^5/x^3 + (3 x^4)/x^3 - x^3/x^3 - 4/x^3x^5/x^3 + (3 x^4)/x^3 - x^3/x^3 - 4/x^3 = (x^5 + 3 x^4 - x^3 - 4)/x^3:Answer: || (x^5 + 3 x^4 - x^3 - 4)/x^3 |
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| 31. |
The value of x in the given figure = |
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Answer» Step-by-step explanation:110° |
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| 32. |
The population of a city 1s 56, 78,981 in the year 2005. If the population of the city has become 98, 76,005 now, what is the increase in the population? |
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Answer» 41,97,024Step-by-step explanation:Population of a city in 2005 = 56,78,981Population after increasing = 98,76,005Population increased = 98,76,005 - 56,78,981 = 41,97,024Increase in the population is 41,97,024Hope it helps you a LOT!!Pls mark me as BRAINLIEST.... |
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| 34. |
2. If l is parallel to m, what is the value of x |
| Answer» GIVE the FULL QUESTION and picStep-by-step EXPLANATION: | |
| 35. |
The areas of a rectangle and square are equal .If the length of the rectangle is 44 cm and breadth is 11 cm, find the side of the square |
| Answer» 22 cmStep-by-step EXPLANATION:l = 44cmb = 11cmar(rectangle) = l × B = 44 × 11 = 484 sq. cmar(SQUARE) = ar(rectangle) = 484 sq. cm SIDE of the square = √484 = 22 cm | |
| 37. |
If boys are 30 and girls are 90 then find the ratio of boys and girls in your class. |
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Answer» 30:90 =1:3 we getStep-by-step EXPLANATION:PLEASE FOLLOW me |
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| 38. |
Write the linear method : 2x+y=5; 3x-y=5 |
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Answer» -step EXPLANATION:GIVEN , 2x+y=5 and 3x-y=5therefore, by ADDING these two equations...3x-y=52x+y=5 (+)______5x=10--> X=2since x=2then,2x+y=5=> 2×2+y=54+y=5y=5-4y= 1therefor the values of x and y are 2 and 1hope you enjoy it |
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| 39. |
A farmer takes ₹ 15,000 from the village moneylender at 18% p.a. After 18 months when he has to repay theloan, he gives the moneylender * 16,000 and a cow. Atwhat price did the moneylender get the cow?The answer is : ₹3050 |
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Answer» 3,050Step-by-step EXPLANATION:fatmer TAKE MONEY =15,000percentage =18%Months=18converted into year=1.5=3/215000×18/100×3/2=4,05015000+4050=19,05019,050-16,000=3,050hope you UNDERSTAND |
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| 40. |
There are 75,678 males and 52,257 females in a town. Find the total population of the town. |
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Answer» 124,935Step-by-step EXPLANATION: PLEASE MARK BRAINLIST |
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| 41. |
Sum of period and periodicity of 0.2394 bar is options:1)94 2)23 3)96 4)92 Sum of period and periodicity of 0.2394 bar is options:1)94 2)23 3)96 4)92 |
| Answer» ANSWER BRO is it OK? | |
| 42. |
Hello when repeating decimal 10.363636....... is written in simplest fractional form p/q,find the value of p+q..please help me please if you will help me I will mark you as brainliest answer and also I will follow you |
| Answer» HOPE it HELPS ❤️..................... | |
| 43. |
the above figure, total triangles-64, rectangles -100. is it correct??? pls help me to find it.. with explanation |
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Answer» yaa you are correct with TRIANGLES but I don't think that you are correct with the RECTANGLES because in this I can't FIND any rectangles and you are saying there are 100 rectangles but I think you talking about squares |
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| 44. |
Cube of a number ends with which numbers plz tell me fast |
| Answer» MARK BRAINLIEST PLEASE | |
| 45. |
If −57=57/a then a = |
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Answer» a=57/-57a=-1mark as BRAINLIEST |
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| 46. |
1. Multiply (20x10y20 z30) x (10xyz)? |
| Answer» E in HINDI PLSS I am pushkarI am STUDENT FOLLOW me | |
| 47. |
Solve x-2=7 can you please solve this I want to write in exam |
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Answer» The VALUE of X is 9.I HOPE it is HELPFUL. Be happyKeep smilingEnjoy your LIFE |
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| 48. |
Factarise the folowing algebraic expession _7(a_2b)+14(a_2b)^2 |
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Answer» -STEP EXPLANATION:tircsudisrr82738364847363727374746363646464 |
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| 49. |
2. In the given Fig 5.10, are the following adjacent angles? (a) |
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Answer» Dear, where is the figure ?Step-by-step EXPLANATION:IF YOU POST THE QUESTION WITH THE FIGURES I WILL DEFINITELY HELP !!! ☺️☺️☺️ |
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