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. |
What do you wonder about powers and exponents |
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Answer» Answer: We know how to calculate the expression 5 x 5. This expression can be written in a shorter way using something called exponents. 5⋅5=52 An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor. figure10 31 3 to the FIRST power 3 42 4 to the second power or 4 squared 4 ∙ 4 53 5 to the third power or 5 cubed 5 ∙ 5 ∙ 5 26 2 to the power of six 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 Example Write these MULTIPLICATIONS like exponents 5⋅5⋅5=53 4⋅4⋅4⋅4⋅4=45 3⋅3⋅3⋅3=34 Multiplication If two powers have the same base then we can MULTIPLY the powers. When we multiply two powers we add their exponents. The rule: xa⋅xb=xa+b Example 42⋅45=(4⋅4)⋅(4⋅4⋅4⋅4⋅4)=47=42+5 Division If two powers have the same base then we can divide the powers. When we divide powers we subtract their exponents. The rule: xaxb=xa−b Example 4245=⧸4⋅⧸4⧸4⋅⧸4⋅4⋅4⋅4=143=4−3=42−5 A NEGATIVE exponent is the same as the reciprocal of the positive exponent. x−a=1xa Example 2−3=123 When you raise a PRODUCT to a power you raise each factor with a power (x⋅y)a=xa⋅ya Example (2x)4=24⋅x4=16x4 The rule for the power of a power and the power of a product can be combined into the following rule: (xa⋅yb)z=xa⋅z⋅yb⋅z Example (x3⋅y4)2=x3⋅2⋅y4⋅2=x6⋅y8 |
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| 2. |
Given 3 identical boxes I, II and III, each containing two coins. In box I both coins are gold, in box Il both are silver coins and in box III there is one gold and one silver coin. A person chooses a box at random and takes out a coin. If the coin is of gold, what is the probability that the other coin in the box is also of gold. |
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Answer» So, we need to FIND the probability of GETTING box I Number of boxes ( Number of box w/ both coins of gold ( P(2nd gold COIN) = Hope I HELPED |
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| 3. |
A man had three sons and they were born at an interval of five years. The sum of their ages after five years will be sixty years. What was the age of the youngest son five years ago |
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Answer» THUS eldest son's age five years ago was 10 years But 3rd son was not born then hence at that time youngest son was 2nd =His age at that time was x-5=10-5=5Years |
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| 4. |
Calculate the following1/2 x 5/6 + 1/3 x 1/4pls give me the ans with steps and proper explanation pls |
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Answer» Step-by-step EXPLANATION: |
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| 5. |
Fill in the blanks 3058g............kg...........g |
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Answer» Answer: 3KG 58gm Step-by-step explanation: so,3058gm =3kg 58G |
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| 6. |
Slove the 12345678910÷12345678910 |
Answer» ANSWER: |
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| 7. |
Answer this question correctly right now show your step by step solutions and ill mark you brainliestill only mark those who have their step by step solutionsplease help asap pleaseeeee i need step by step solutionsss |
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Answer» Hope it will help u... thanks for ASKING.... Happy to help u. and keep smiling always..... things will be with u 4ever.... |
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| 9. |
Can two numbers have 15 as their HCF and 320 as their LCM? |
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Answer» Answer: sorry I have not understand your question Step-by-step EXPLANATION: |
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| 10. |
धारा के अनुकूल एक नाव 4 घंटे में 44 किमी. जाती है तथा धारा के प्रतिकूल वह 7/2 घंटे में 21 किमी जाती है| घर की गति क्या है? |
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Answer» धारा के अनुकूल एक नाव 4 घंटे में 44 किमी. जाती है तथा धारा के प्रतिकूल वह 7/2 घंटे में 21 किमी जाती है| घर की गति क्या है?
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| 11. |
Find the smallest number by which 128 match be divided to obtain a perfect cube |
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Answer» ans is 2 . Step-by-step EXPLANATION: |
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| 13. |
Find the 7 rational numbers between -7/8 and 6/8 |
Answer» HEY mate hope it HELPS you......7 rational NUMBERS between -7/8 and 6/8 are -6/8 , -5/8 , -4/8 , -3/8 , -2/8 , -1/8 , 1/8 . |
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| 14. |
In 4-2=2-2is the additive inverse of 4 true or false |
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Answer» false Step-by-step EXPLANATION: as 2=0 is not CORRECT |
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| 15. |
If f (x) = 3x2 − x and f (m) = 4, then find mI will mark correct answer brainliest! |
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Answer» hey MATE here is ur answer = f(x)=3x^2-x f(m)=3m^2-m f(m)=4 3m^2-m=4 3m^2-m-4=0 m=1+-root(49)/6.....[Quadratic formula] m=1+-7/6 m=8/6 or m=-6/6 m=4/3 or m=-1. hope it HELPS. ☆☆☆☆ |
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| 16. |
Find the smallest number by which the following numbers should be multiplied to get a perfect square. Also find the square root of the new number: (a). 147 |
Answer» ALSO MRK as BRAINLIEST .and also LIKES. |
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| 17. |
Simplify. a-[b-{c-(a-b-c}-c]+a |
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Answer» GIVEN a-(B-(c-(a-b-c)-c)+a =a-(b-(c-a+b+c-c)+a =a-(b-(b+c-a)+a =a-(b-b-c+a)+a =a+c-a+a =a+c This MAY HELP you please MARK it as BRAINLIST answer |
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| 18. |
Find each of the following product1) 7×32) -7×33)7×-3 |
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Answer» 1)7×3=21 2)-7×3=-21 3)7×-3=-21 hope it helps. ☆☆☆☆ |
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| 19. |
What should be taken away from 3x²-4y²+5xy+20 to get -x²-y²+6xy+20 |
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Answer» It was SIMPLE just have a TRY |
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| 21. |
Answer this i will mark as brainlist |
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Answer» Answer: |
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| 23. |
The general solution of the nonhomogeneous equation y''-6y'-7=8e(-t)-7t-6 is |
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Answer» CORRECT QUESTION: Solve the following differential equation The given differential equation is To find C. F. The AUXILIARY equation is C. F. is therefore, To find P. I. Let, Then, and Since Equating like terms in both sides, we GET
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| 24. |
solve both the above questions I will mark you as BRAINLIEST... please answer with full explanation... |
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Answer» Step-by-step EXPLANATION: |
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| 25. |
FIND THE SET A,B,C IF A∩C={5,7}, A∩B={5,6} A∪B={4,5,6,7} A∪C={5,6,7,8} |
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Answer» WEEDS and GRASS and weeds and I have to GO with it and I will SEND it out here is |
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| 26. |
दिपक एक काम शुरू करता वह 12दिनो केलिए काम करता है और पाता है कि उसने 10%| कम काम पूरा कर लिया है जिसे उसे24दिनों मे काम पूरा करने के लिए खत्म करनाथा इसलिए वह रहमान से उसे समय परकाम करने के लिए कहता है यदी रहमानआधे दिन काम करते है तो केवल शेष दिन रहमान कि दक्षता पता लगाए कि दिपक किदक्षता की तुलना मे च्या प्रतिशत कम है? |
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Answer» Step-by-step EXPLANATION: ओळखा पाहू हूशार कोण पाहिली दोन अक्षरं घेतली तर खाण्याचा पदार्थ दुसर आणि तिसर अक्षर घेतले तर झाडाचे नाव तिसर आणि चौथ अक्षर घेतले तर चिञपटाचे नाव चारही अक्षर घेतले तर सौदर्य प्रसाधन |
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| 27. |
एक नाव धारा की दिशा में 24 किमी. दूरी 4 घंटे में तथा धारा के विपरीत इतनी ही दूरी 6 घंटे में तय करती है। शांत जल में नाव की चाल कितनी है ? |
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Answer» एक नाव धारा की दिशा में 24 किमी. दूरी 4 घंटे में तथा धारा के विपरीत इतनी ही दूरी 6 घंटे में तय करती है। शांत जल में नाव की चाल कितनी है ?
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| 28. |
7The product of two integers is (-112).If one of them is (-8), find the other. |
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Answer» x=14 Step-by-step EXPLANATION: -8×x=-112 x=-112÷-8 x=14 |
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| 30. |
Could you say answers for this |
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Answer» Answer: I HOPE it will be HELPFUL to you.It is the answer for 24q.Step-by-step EXPLANATION: ✨PLEASE MARK ME AS BRILLIANIST ✨ |
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| 31. |
if the sizes of the angles of a triangle are 3x,4x and 5x. find the smallest angle of the triangle. please solve with solution.. |
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Answer» Answer: sum of ANGLES is180 then according to question 3X+4x+5x=180 then 12x=180 X=15 |
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| 32. |
Check whether the following are quadratic equations:1) (x-2) ^2+5=3x-72)(x+3)^3+7=(x-2)^3+8x-2 |
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Answer» Answer: 1) (x-2) ^2+5=3x-7 is QUADRATIC, SINCE its DEGREE= 2. 2) (x+3)^3+7=(x-2)^3+8x-2 is not quadratic, since its degree= 3. |
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| 33. |
Find each of the following product1) 7×3 |
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Answer» MARK ME AS A BRAINLIST |
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| 34. |
Find the area of quadrilateral BC = 26cm CD = 26cm AD = 24cm BD = 26cm. calculate AB |
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Answer» Step-by-step EXPLANATION: i DONT know the ANSWER of the QUESTION if u give me the formula i will definitely solve it |
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| 35. |
Write the numeral in the descending and ascending order of numeral 31093 , 31309,39031, 9391,31029 |
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Answer» ASCENDING order-93911,31309,31029,31093,39031. |
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| 37. |
Find the median of following distrbution marks=2,5,6,8,10 no of students 3,2,5,4,2 |
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Answer» ARRANGE the following data in ascending order 2,2,2,3,4,5,5,6,8,10 now take FIRST four with ONE side one the last four on other side (2,2,2,3)+4+5/2(5,6,8,10)ADD the numbers which are not in brackets and divide with 2 4+5/2=9/2=4.5 hence the median is 9/2 or 4.5 |
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| 38. |
Divide 18923 by 15 and check |
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Answer» Answer: 1261.53333333 You can SEARCH for any mathematical expression, using functions such as: sin, cos, sqrt, ETC. You can FIND a COMPLETE list of functions. |
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| 39. |
1. Find the area of the trapezium whose parallel sides are 22 cm and 31 cm respectively, and the distance between them is 12 cm.2. The area of a trapezium is 320 sq.cm and distance between the parallel sides is 20 cm.if one of the parallel sides is 16 cm,find the length of another parallel side.3. Find the area of a rhombus if:a) Each side is 16 m and height is 9 mb) Each diagonals are 20 cm and 18 cm.4. The area of a rhombus is 256 sq.cm and one of the diagonals is 32 cm.find the length of other diagonal.5. The area of a triangle with a base of 8 cm is 24 sq.cm.find its altitude from this base.6. Find the lateral surface area,total surface area and volume of a cube of:a) Side=70cm b)side=25cm |
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Answer» 1. Given: PARALLEL sides are 22 cm and 31 cm respectively, and the distance between them is 12 cm. To find: Area of trapezium ? Solution: FORMULA for area of trapezium 2. Given: The area of a trapezium is 320 sq.cm and distance between the parallel sides is 20 cm.one of the parallel sides is 16 cm To find: length of another parallel side? Solution: Let the other parallel side = X cm Formula for area of trapezium 3. a) Given: Rhombus with Each side is 16 m and height is 9 m To find: Area of rhombus ? Solution: Formula for area of rhombus: b) Given: Rhombus with Each diagonals are 20 cm and 18 cm. To find: Area of rhombus ? Solution: Formula for area of rhombus: 4. Given: Area of rhombus = 256 sq cm One diagonal 32 cm To find: Length of other diagonal ? Solution: Formula for area of rhombus: 5. Given: The area of a triangle with a base of 8 cm is 24 sq.cm. To find: Altitude of triangle ? Solution: Formula for area of triangle: 6. a) Given: Side of cube = 70 cm To find: Volume, lateral SURFACE area, total surface area of cube? Solution: Volume = Lateral surface area = Total surface area = b) Given: Side of cube = 25 cm To find: Volume, lateral surface area, total surface area of cube? Solution: Volume = Lateral surface area = Total surface area = |
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| 40. |
The area of the sector shaped canvas cloth is 264 m² with this canvas cloth, if a right circular conical tent is erected with the radius of the base as 7 cm then find the height of the tent. |
Answer» Answer:1199.99 m Step-by-step EXPLANATION:Given : Area of the sector shaped canvas cloth = 264 m² It is also equal to curved SURFACE area of cone : = > π r L = 264 m² We have radius r = 7 cm = 0.07 m = > 0.07 × 22 / 7 × l = 264 = > 0.01 × 22 × l = 264 = > l = 264 / 0.22 m = > l = 1200 m We have relation between h , r and l : = > l² = h² + r² = > h² = l² - r² = > h² = 1200² - 0.07² m = > h² = ( 1200 + 0.07 ) ( 1200 - 0.07 ) m = > h² = ( 1200.07 ) ( 1199.93 ) m = > h = √ ( 1200.07 ) ( 1199.93 ) m = > h = 1199.99 m Hence we get required answer.When the radius in unit of meter i.e. 7 m : then let's find height h : π r l = 264 m² We have r = 7 m = > 22 / 7 × 7 × l = 264 = > l = 264 / 22 m = > l = 12 m We know : l² = h² + r² = > h² = l² - r² = > h² = 12² - 7² = > h² = ( 12 + 7 ) ( 12 - 7 ) = > h = √ ( 19 × 5 ) m = > h = √ 95 m. |
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| 41. |
Who is the founder of mathematics ??? |
Answer»
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| 42. |
Calculate the following, 8th grd, rational no:1/2 x 5/6 + 1/3 x 1/4pls give me the right ans. |
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Answer» Answer: 1/2 Step-by-step EXPLANATION: 5/12+1/12 =. 6/12 =. 1/2 |
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| 43. |
3. The thickness of two wires are 6* 10 m and 1.5 x 10-7 m. Find the ratio of the thicknesswires. |
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Answer» Step-by-step EXPLANATION: thickness=60m 6:8 mark me BRAINLIEST and FOLLOW me |
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| 45. |
Ifm=12 and n=(-4), check if m÷n=n÷m |
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Answer» m÷n= 12÷( - 4)= -3 n÷m= -4/12= -1/3 m÷n is not EQUAL to n÷m |
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| 46. |
Determine whether the product is positive or negative of -25×-16 |
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Answer» Answer: [ - * - = + ] so, the PRODUCT of -25 and -16 is in POSITIVE . hope it helps you |
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| 47. |
find the area of a quarter little baby she's request BD = 26cm CD = 26cm AD = 24 cm BD = 26 cm calculate AB |
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Answer» answer is AB=10, by USING the PYTHAGORAS THEOREM. |
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| 48. |
Write the remainder when (-139) is divided by 139? |
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| 49. |
X^2+4x-(-8x+x^2+1)=-2x^2+6+2x |
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Answer» Answer: HOPE this ans will help you. Step-by-step explanation: So now... plz... |
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