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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. |
Route 2 + route 3 divided by 3 route 2 - 2 route3 = 2-b route 6 |
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Answer» I have SOLVED half of the sum and I am not GETTING furthur...so please TRY on your own |
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| 2. |
2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days . In how many days can 2 men and 1 boy do the work? |
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Answer» Answer: 12.5 day Step-by-step explanation: 2 men and 3 BOYS can do a piece of WORK in 10 days. THUS, 20 men and 30 boys can do a piece of work in 1 day......(i) 3 men and 2 boys can do the same work in 8 days. Thus, 24 men and 16 boys can do the same work in 1 day....(ii) Equating (i) and (ii) we GET - 20 men + 30 boys = 24 men + 16 boys 4 men = 14 boys 2 men = 7 boys Substituting this in equation (i) we get 10 boys can do a piece of work in 10 days. But we need to find out in how many days 2 men and 1 boy can do the work, which is equivalent to 8 boys. 8 boys can do the same work in (10*10/8) = 12.5 day |
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| 4. |
10 men working 6 hours a day can complete a work in 18 days |
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Answer» Step-by-step EXPLANATION: More Men, Less Hours {Indirect Proportion} Less DAYS, More Hours {Indirect Proportion} \begin{aligned} \begin{bmatrix}Men & 15 & 10 \\Days & 12 & 18 \END{bmatrix} :: 6 : x \\ => x * 15 * 12 = 10 * 18 * 6 \\ => x = \frac{10*18*6}{15*12} \\ => x = 6 |
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| 5. |
Is there an identity a cube plus b cube |
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Answer» this is it ... MARK as BRAINLIEST PLZZ |
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| 6. |
Prove that √5 is irrational no., by using the result prove that 6+√5 is irration |
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Answer» ANSWER: Let √5 be a rational number. This means √5= a/B (where a and b are coprime and q is not equal to 0) {SQUARING both sides} 5=a^2 ÷ b^2 Then b^2=a^2÷5 This means that 5 DIVIDES a^2 Which ALSO means 5 divides a. [Let a=5c] now. b^2=(5c)^2 ÷ 5 b^2=5c^2 c^2=b^2 ÷5 This means 5 divides b^2 which means 5 divides b. Thus, a and b have 5 as their common factor. But this contradicts our assumption that a and b are coprime. So our assumption is wrong and √5 is irrational. Let 6+√5 be rational. This means 6+√5= a/b √5=a/b -6 √5=(a-6b)/b is rational because a,b,6 are rational. This means √5 is also rational. But this contradicts the fact that√5 is irrational. So our assumption is wrong and 6+√5 is irrational. |
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| 7. |
A) x/2 + x/8 + x/4 =1b) x/4 = 1/2 |
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Answer» Step-by-step explanation: x 4 + x 2 + 1 = ( x 2 + x + 1 ) ( x 2 − x + 1 )
To find this, first notice that x 4 + x 2 + 1 > 0 for all (real) values of x . So there are no linear factors, only QUADRATIC ones. x 4 + x 2 + 1 = ( a x 2 + b x + c ) ( d x 2 + e x + f ) Without bothering to multiply this out fully just yet, notice that the coefficient of x 4 gives us a d = 1 . We might as well LET a = 1 and d = 1 . ... = ( x 2 + b x + c ) ( x 2 + e x + f ) Next, the coefficient of x 3 gives us b + e = 0 , so e = − b . ... = ( x 2 + b x + c ) ( x 2 − b x + f ) The constant term gives us c f = 1 , so either c = f = 1 or c = f = − 1 . Let's try c = f = 1 . ... = ( x 2 + b x + 1 ) ( x 2 − b x + 1 ) Note that the coefficient of x will vanish nicely when these are multiplied out. Finally notice that the coefficient of x 2 is ( 1 − b 2 + 1 ) = 2 − b 2 , GIVING us 1 = 2 − b 2 , thus b 2 = 1 , so b = 1 or b = − 1 . |
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| 8. |
Daw a histogram to represent the runsscored by the winning team in thefinal match in different overs. |
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Answer» that what's your answer |
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| 9. |
Prove and show that ✓2×✓3=✓6 |
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Answer» Step-by-step EXPLANATION: √x ×√y is √(XY) |
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| 12. |
Chart of square and cubes of 1 to 20 |
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Answer» 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 144 13 169 14 196 15 225 16 256 17 289 18 324 19 361 20 400 hope it helps PLS mark braniest do FOLLOW me |
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| 13. |
A man, after a tour, finds that he had spent every day as many 50 notes as the number of days he had been away from home He spent in all ? 92450. How long did his tour last?Explain it briefly |
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Answer» Step-by-step explanation: 92450/50=NUMBER of fifty NOTES that the PERSON spent So, the number of days also equal to 92450/50=1849 days |
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| 14. |
What is the measure of an exterior angle of a regular polygon of 10 sides? |
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Answer» this is the answer of the question |
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| 15. |
Find x and y in the following parallelogram |
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Answer» A=C( opposite side of parallelogram) x=100 DEGREE B= D(similar) 80 degree= y y= 80 degree Answer = x= 100 degree, y= 80 degree |
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| 16. |
whichit could be used for measuring the amount of liquid needed to fill a small tea cupal Gram(b) Kg(c) Meter(d) Millimeter |
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Answer» Aoteoyslylyslzb,
Step-by-step EXPLANATION: , gxlhkgz5:=! 5:64:64'+6:64:546 |
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| 18. |
How many paise are there in 100 rs? |
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Answer» Answer:10000 paisa Step-by-step EXPLANATION: ꧁Mark as BRAINLIEST answer꧂ |
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| 19. |
5a - 18/25 = 1.2a + 39/35 |
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Answer» Answer: 5a-18/25=1.2a+39/35 (125a-18)/25=12a/10+39/35 14(125a-18)=5(84a+78) 1750a-252=420a+390 1750a-420a=390+252 1330a=642 a=642/1330= 0.4863 |
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| 20. |
Sum of series 1+4/3+10/9+28/27.....upto n |
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Answer» it will be 1 according to calculus THEORY... REST I don't know |
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| 21. |
931 round of to nearest 100 |
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Answer» Answer: 900 Step-by-step EXPLANATION: |
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| 23. |
23456÷23 what answer |
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Answer» its 1019.83 hope it HELPS |
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| 24. |
Whole number between 2914 and 3745How many whole number between 3745 and2971 |
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Answer» Answer: 3745-2971=774. |
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| 25. |
If x+1/3=3 then find x^3+1/ x^3 |
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Answer» Answer: Step-by-step explanation: It is GIVEN that x+1x=3 Taking CUBES on both sides, (x+1x)3=33 Since, (a+b)3=a3+3a2b+3ab2+b3 Therefore, x3+3x2x+3xx2+1x3=27 x3+3x+3x+1x3=27 x3+1x3+3(x+1x)=27 x3+1x3+3(3)=27 x3+1x3+9=27 x3+1x3=27−9 x3+1x3=18 Hope that HELPS! |
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| 26. |
18) Find the odd one out.(a) Teacher: Student(b) Shopkeeper: Customer(c) Doctor : Librarian |
Answer» C)doctor:librarian is the answer please mark it as brainlist |
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| 27. |
Find all the zeros of the polynomial x^4 + x ^3 - 34x^2 - 4x + 120,if two of its zeros are 2 and -2. |
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Answer» Step-by-step EXPLANATION: HOPE this will help u |
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| 28. |
Elisa's monthly income 8500. It he saves3/17 of her earning Find :-| How much the monthly saving |
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Answer» Step-by-step explanation:
Please follow VIRATANMOLMARK me BRAINLIEST |
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| 29. |
16 root 13 + 9 root 52 |
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Answer» Step-by-step explanation: 16√13+9√52=16√13+9√(13×4)=16√13+18√13 =34√13 |
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| 30. |
Determine whether the givent points are collinear :L(1,2),M(5,3),N(8,6). |
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Answer» from LM: by using distance formula √(1-5) ^2+(2-3) ^2 √16+1 =√17 now from MN by using distance formula √(5-8) ^2+(3-6) ^2 =√9+9 =√18 hence we are getting different values so these points are NON COLLINEAR |
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| 31. |
If x=a-b, y=b-c, z=c-a, find the value of zx-3y-4z |
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Answer» =ac-a^2-bc+ba-3b+3c-4c+4a =a^2-bc+ac+ab-3b-c+4a |
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| 32. |
Find the coordinates of the point:(a) which lies on x and y axis both?(b) whose ordinate is -4 and which lies on y axis?(c) whose abscissa is 5 which lies on x axis??? |
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| 33. |
Write the coefficient of x square in 9 - 12 x + x power cube |
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Answer» The COEFFICIENT of x² in 9-12x+x³ or x³-12x+9 is 0. |
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| 35. |
The polynomial p(x) = x^4-2x^3 + 3x^2-ax+3a-7 when divided by x + 1 leaves the remainder 19. Findthe values of a. Also find the remainder when p(x) is divided by x + 2. |
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Answer» Answer: Given Polynomial ⇒ P(X) = x⁴ - 2x³ + 3x² - ax + 3A - 7. Divisor = x + 1 ∴ x + 1 = 0 ∴ x = -1 Thus, P(-1) = (-1)⁴ - 2(-1)³ + 3(-1)² - a(-1) + 3a - 7. 19 = 1 + 2 + 3 + a + 3a - 7 19 = 6 - 7 + 4a 4a - 1 = 19 4a = 20 ⇒a = 5 ∴ Value of a is 5. Now, the Polynomial will be ⇒ P(x) = x⁴ - 2x³ + 3x² - (5)x + 3(5) - 7 P(x) = x⁴ - 2x³ + 3x² - 5x + 15 - 7 P(x) = x⁴ - 2x³ + 3x² - 5x + 8 Now, When this polynomial is divided by (x + 2), then, x + 2 = 0 x = - 2 ∴ P(-2) = (-2)⁴ - 2(-2)³ + 3(-2)² - 5(-2) + 8 ⇒ P(-2) = 16 + 16 + 12 + 10 + 8 ⇒ P(-2) = 62 Thus, Remainder will be 62. |
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| 36. |
What is the full form of (a+b)^2 |
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Answer» Step-by-step EXPLANATION: |
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| 37. |
Prove that root 2 + 1 is a irrational number |
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Answer» let we assume that root 2 +1 is rational therefore there exist a unique pair of INTEGER a and b such that.. here a-b/b is a rational number but root 2 is IRRATIONAL a rational CANT be an irrational therefore this contradiction arrises DUE to our wrong assumption that root2 -1 is rational is false hence it is an irrational... if u understood the answer MARK me as brainlist |
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| 38. |
Solve solve solve solve it it it it it it |
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Answer» now, SIDE = 4√2 cm so, VOLUME will be (4√2)^3 cm^3 = 128√2 cm^3___ans |
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| 39. |
find the difference between the others and the least number that can be written using the digits 6 , 2 , 7 , 4 , 3 is only once |
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Answer» Answer: 6 itdizzc vcxewxvdwowdodoeesss |
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| 40. |
Sara has 8 red-coloured pens and 20 yellow-coloured pens. She wants to create groups of pens such that there are the same number of red-coloured pens and yellow-coloured pens in each group and there are no pens left over. What is the greatest number of groups that she can create? |
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Answer» The GREATEST no. of GROUP that she can create are by factorisaton metgod 8=2*2*2 20=2*2*5 common=2*2 =4
Hence greatest on of group is 4HOPE IT WILL HELP U BUDDY:-) |
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| 41. |
If the rainfall (in mm) in a city on 7 days of a certain week was recorded as 0, 12.2, 2.1, 0, 20.5, 5.5, 1 then the number of days less than the mean rainfall:A. 3B. 4C. 5D. 0please answer the question with proper explanation.. |
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Answer» Answer: Step-by-step explanation: If the rainfall (in MM) in a CITY on 7 days of a certain week was recorded as 0, 12.2, 2.1, 0, 20.5, 5.5, 1 then the number of days less than the mean rainfall: Daily Rain Fall for 7 Days 0 , 12.2 , 2.1 , 0 , 20.5 , 5.5 , 1 Total Rain fall = 0 + 12.2 + 2.1 + 0 + 20.5 + 5.5 + 1 = 41.3 Total Days = 7 Mean Rainfall = 41.3/7 = 5.9 0 , 2.1 , 0 , 5.5 , 1 are less than 5.9 so 5 Days - Rains was less than Mean rainfall option C is correct |
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| 42. |
what is the sum of the four exterior angle.The sides of a rectangle are in ratio 4:5.If perimeter of the rectangle is 90cm.Find the sides. |
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Answer» ratio=4:5 let it be 4x +5x perimeter of RECTANGLE = 2(l+b) perimeter =90cm so,A/Q 90cm = 2(4x+5x) 90cm = 2X9x 90cm =18x X = 90/18cm =5cm first side = 4 X 5cm =20CM second side =5 X 5cm =25 cm Therefore ,the sides of rectangle are: length = 20cm , BREADTH = 25cm |
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| 43. |
F(a +b): (b + c): (c + a) = 6:7:8 and a + b + c = 14, then find a : b: c:8. 7:5:9b. 9:5:7c. 8:4:3d. 7:5:3 |
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Answer» Answer: If (a + B):(b + c):(c + a) = 6:7:8 and a + b + c = 14, then find a:b:c = ? (A) 1:2:3 (B) 3:4:5 (C) 7:8:9 (D) 7:5:9 (E) 7:6:8 |
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| 44. |
Answer rhe questions |
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Answer» Answer: 340 Step-by-step EXPLANATION: |
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| 46. |
Find the distance between the following pairs of point (-5,7),(-1,3). |
Answer» Here is Your ANSWERChack AttecmentHope it Heplfull Answer |
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| 47. |
the difference between two numbers is 48,506 and the greatest number is 1,00,009 find the smaller number |
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Answer» 100009-x=48506 100009-48506=x x=51503 The SMALLER no. is 51503 |
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| 48. |
5 4 13 (3 × 3 ) ÷ 3 |
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Answer» Answer: Step-by-step EXPLANATION: (3*3)=9 9/3=3 hope I HELPED You BRAINLIEST my and. |
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| 49. |
What is the value of √2 × √2. Explain it answer. |
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Answer» =root 4 = 2 square roots can be MULTIPLIED |
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| 50. |
Missing number 25 x [ ___+4} =25 x-3+25 X ____ |
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Answer» Answer: |
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