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. |
Use Euclid division algorithm to find the HCF of 135 an 225 |
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Answer» Answer: Step-by-step EXPLANATION: HCF(135,225)=? 225=135×1+90 135=90×1+45 90=45×2+0 HCF(135,225)=45 |
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| 2. |
6.27 crores in international system |
Answer» HEY mateFirst LET's WRITE it in INDIAN system we will write it as - 6,27,00,000 Let's write it in international system We will rite it as 62,700,000 Hope it helps you Please mark it as brainliest |
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| 3. |
What should be divided 7 to get -18 |
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Answer» A/q 7/x=-18 x=7/-18=-7/18 |
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| 4. |
a truck is carrying apple juice, passion fruit juice and tomato juice bottles in a ratio of 7:1:3. if there are 39 tomato juice bottles, then how many juice bottles in total are there? |
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Answer» Answer: |
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| 5. |
Solve it (a)278 (b) 141 (c) 306 (d) 300 |
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Answer» What we have to SOLVE in QUESTION these are PARTS of question but what is your question |
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| 6. |
on a morning walk three person step of together and their steps measure 40cm ,42cm and 45cm. what is the minimum distance each should walk so that each can cover the same distance and complete the steps? |
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Answer» Answer: 2520cm Step-by-step explanation: given by , 3 PERSON step of together and their steps measure 40cm , 42CM and 45cm. minimum distance = l.C.M OF their steps meassure. here, 40 = 2×2×2×5 42=2×3×7 45= 3×3×5 L.C.M = 2×2×2×3×3×5×7= 2520cm the minimum distance each can cover the same distance and COMPLETE the steps = 2520cm |
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| 7. |
1//2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000= _____answer will be 100?pls confirm |
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Answer» Answer: YES the answer is 100 Step-by-step explanation: by the SOLVING first 9 TERMS the answer come will 0.1 then MULTIPLE it with 1000 the answer will came 100 |
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| 8. |
By what smallest number 26244 should be divided to get a perfect cube also find its cube root |
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Answer» Step-by-step EXPLANATION: |
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| 9. |
3. Find the perimeter of each of the following(i) A triangle of sides 3cm, 4cm and 5cm.(ii) An equilateral of side 9cm.(iii) An isosceles triangle with equal sides of 8cm each and the third side 6cm |
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Answer» Step-by-step explanation: PERIMETER of triangle = sum of all SIDES . 1.perimeter of triangle = 3+4+5= 12 cm 2.perimeter of EQUILATERAL triangle = 9+9+9 = 27 cm 3.perimeter of isosceles triangle = 8+8+6 = 22 cm |
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| 10. |
Define linear independence |
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Answer» Answer: In the theory of VECTOR spaces, a SET of vectors is said to be linearly dependent if at LEAST one of the vectors in the set can be defined as a linear combination of the others; if no vector in the set can be written in this WAY, then the vectors are said to be linearly independent. ⚡May it help you.⚡ |
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| 11. |
By what smallest number 26244 should be divided to get perfect cube.also find its cube root |
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Answer» root of the quotient.
26244 / \ 2 13122 / \ 2 6561 / \ 3 2187 / \ 3 729 / \ 3 243 / \ 3 81 / \ 3 27 / \ 3 9 / \ 3 3
So 26244 = 2238 To become a cube, all the prime factors of it must be to a power which is a multiple of 3. Notice that the prime number base 2 in the factorization is RAISED to the 2nd power (exponent), but exponent 2 is NOT a multiple of 3, so we'll have to multiply by the 1st power of 2 so that when we add exponents of 2 we will get 23. Notice also that the prime number base 3 in the factorization is raised to the 8TH power (exponent), but exponent 8 is NOT a multiple of 3, so we'll have to multiply by the 1st power of 3 so that when we add exponents of 3 we will get 39. So we have to multiply by 2131 or 2∙3 or 6 to cause 26244 to become a perfect cube. So we have to multiply 2238 by 2131 so that it will become 2339 and both prime bases 2 and 3 will be raised to powers (exponents) which are both MULTIPLES of 3. So then the cube root of 2339 will be gotten by dividing each exponent by 3, which will give 2133 which is 2∙27 or 54. That's the same as saying The 26244 must be multiplied by 6 gives 157464 which is a perfect cube. It is a perfect cube because 543 = 157464. And the cube root is 54 because 54∙54∙54 = 157464. plzz mark me as the brainliest |
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| 12. |
Ahow that any positive integer is of the form 4n, 4n+1 or 4n+3, where n is a integer? |
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Answer» As PER Euclid's division lemma if a and b are two positive integers then a = bq+r where 0 is LESS than or equal to r and r is less than b let positive INTEGER be a. and b= 4 hence a=4q+r where r is an integer greater than or equal to 0 and less than 4. hence r can be either 0,1,2 or 3 if r = 1 our equation becomes a=4q+r a=4q+1 this will always be an odd integer. if r=3 a=4q+r a=4q+3 this will always be an odd integer therefore, any odd integer is of the form 4q+1 or 4q+3 hence proved hope it helps plz mark this as the brainliest answer. |
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| 14. |
Q.56 Ram has * 6 more than Mohan and * 9 morethan Sohan. All the three have 33 in all. Ram has ashare of |
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Answer» Answer: Step-by-step EXPLANATION: then,. Mohan's share = x-6 Sohan's share = x-9 A/q x+(x-6)+(x-9) = 33 x+x-6+x-9 = 33 3X-15 =33 3x = 33+15 3x = 48 x = 48/3 = 16 Ram's share = 16 |
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| 15. |
X=2+root3find xsquare+1/xsquare. |
Answer» HELLO!!CHECK ATTACHMENT |
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| 17. |
Th-15A no. is Selected from first 50 natural nomber.what is the probability of multiple F 3 or 5.Two different dice lolled together find beobabilityof getting (i) even on both side (ii) The song of no.ontotwo dice be 5 (1) 4onwill not eitherside Liv) 3 will come on either side sus Doublet,u lind te |
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Answer» Step-by-step explanation: the probability will be of your S3 by five two DIFFERENT DICE are rolled together FIND the probability of GETTING EVEN on both side the song of no |
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| 18. |
Find the percentage of pure gold in 22-carat gold, if 24-carat gold is 100%pure. |
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Answer» Answer: 91.6% Step-by-step EXPLANATION: = 22/24 × 100% = 91.6% |
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| 20. |
[13+23+33+.......................+93+103] |
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Answer» Answer: 43+53+63+73+83........... |
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| 21. |
Cos inv (-√3/2) find principal value |
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Answer» It's PRINCIPLE VALUE I THINK 2/3 pie Not SURE but I think it is |
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| 22. |
The largest number which divides 70 and 125 and leaves remainder 5 and 8 is |
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Answer» Answer: Step-by-step explanation: 13 Since, 5 and 8 are the remainders of 70 and 125, respectively. THUS, after subtracting these remainders from the numbers, we have the numbers 65 = (70 – 5), 117 = (125−8), which is DIVISIBLE by the REQUIRED number. Hence, 13 is the largest number which divides 70 and 125, leaving remainders 5 and 8. |
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| 23. |
Verify X + y is equal to y + X for the following values of X and y a) x is equal to 7 by 20 comma y is equal to 5 by 18 |
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Answer» Answer: Step-by-step explanation: Answer:x=3 and y=2Step-by-step explanation:Given Equation: Ex 2.5, 9 - Verify (i |
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| 24. |
Multiply 5 (4)^1/3 by root 3. |
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Answer» Answer: Step-by-step EXPLANATION: MAR me BRAINLIEST |
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| 25. |
Simplify by rationalising the denominator2√6-√5 ÷ 3√5-2√6 |
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Answer» HOPE this HELPS!!! i SIMPLIFIED after RATIONALISING so SEE! |
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| 26. |
Find the reminder when x³+3x²++1 divided by x-1/2 |
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Answer» GIVEN p(X) = x^3 + 3x^2 +1 g(x) = x - 1/2 TO FIND :- REMAINDER when p(x) is divided by g(x) SOULTION As the degree of g(x) is 1 instead of long division method we can apply remainder theorem. Remainder Theorem states that when we insert the zero of g(x) in place of x in p(x) then the result is EQUAL to its remainder. Now zero of g(x) x - 1/2 = 0 => x = 1/2 Hence the zero of g(x) = 1/2 We can put this VALUE in p(x) Hence the remainder when p(x) divided by g(x) is 15/8 (ANS). |
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| 27. |
Pls solve question number 5 (i) |
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Answer» Step-by-step explanation: first of all we have to find the lcm of 6 and 8 which is 24 . so as we all know that 6x4 EQUALS 24 then 1x4 equals 4 .the the fraction is now 4 by 24 . now 8x3 equals 24 and 3x3 equals 9 . so the fraction is now 9 by 24 . if we plus them it give answer 13 by 24 from which we have to subtract 1 upon 4 . we can change 1 upon 4 by multiplying it by 6 . the answer will be 6 upon 24 . so the answer is 7 upon 24 |
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| 28. |
Find the least number which should be added to 1018 to make it a perfect square |
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Answer» Answer: 6 is the least NUMBER that should be added to 1018 to get a PERFECT SQUARE 1018+6 =1024 = 32^2 |
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| 29. |
2sin x+15cos^2 x=7then find tan x |
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Answer» Answer sin²x+cos²x =1 (identity) cos²x = 1-sin²x 2sinx +15cos²x =7 put 1-sin²x instead of cos²x 2sinx +15(1-sin²x) =7 -15sin²x +2sinx +8=0 => (form of a quadratic equation) SINA =t -15t² +2T +8=0 t= 4/5 and t = -2/3 => (after using quadratic formula) t = 4/5 is the real solution (the other one makes a negative ANGLE) sinx= 4/5 sin²x = 16/25 => (after squaring both sides) remember identity sin²a+cos²a=1 => sin²a = 1-cos²a 1-cos²x =16/25 => cos²x=9/25 => cosx =3/5 ( the other solution -3/5 makes negative angle) tanx = sinx / cosx = > (4/5) /(3/5) = 4/3 |
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| 30. |
Prove that √2 is non terminating or non reccuring |
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Answer» because √2 is a IRRATIONAL number so, it is NON- terminating and non - repeating. |
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| 31. |
If the hcf of 65 and 117 is expressed in the form of 65m-117 then find m? |
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Answer» Step-by-step EXPLANATION: HTTPS://www.youtube.com/watch?v=_WzADsOZ8BU |
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| 33. |
Malpicative increase of5 raised to -3 |
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Answer» Answer: Step-by-step explanation: It's actually MULTIPLICATIVE INVERSE. So the multiplicative inverse of 5^ -3 is 5^3. Thankyou.... |
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| 34. |
Represent any five countries of the world which are leadingthe way in the switch to renewable energy, using a bar graph. |
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Answer» To draw : Bar GRAPH REPRESENT any FIVE countries of the world which are leadingthe way in the switch to renewable energy Explanation: countries percentage DENMARK 50% Ireland 40% Italy 30% Spain 20% Japan 10% The data is represented through bar graph in the following attatchment #Learn more : |
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| 35. |
3q,3q+1or3q+2 positive odd |
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Answer» let A be a positive INTEGER in the FORM of 3Q and 3q+1 a=bq+r a=3q+0 a2=(3q)2 =9q2 3 (3q)2 =3m (le=3q)2 a=3q+1 a2=(3q+1) =9q2+1+6q =9q2+6q+1 =3 (3q2+2q)+1 =3m+1 (m=3q2+2q) |
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| 36. |
Find the distance between amd slope the given points with sketch the graph (0,-2) and (6,-3) |
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Answer» we can FIND the distance by applying distance formula x1=0,x2=6 y1=-2,y2=-3 so by apply ING distance formula √(x2-x1)^2+(y2-y1)^2 √(6)^2+(1)^2 √37 |
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| 37. |
A teacher bought 40 calculators at $8.20 each and a number of other calculator costing $2.95 each. In all he spent $387. How many of the cheap calculators did he buy? |
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Answer» Let N be the NUMBER of cheaper CALCULATORS. Then n*2.95 + 40*8.20 = 387 n*2.95 = 387 - 40*8.20 n = (387 - 40*8.20)/2.95 n = 20 PLEASE MARK ME AS THE BRAINLIEST I AM IN NEED OF THAT |
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| 38. |
108 ਅਨਾਜ ਗੁਣਨਖੰਡ ਦੇ ਰੂਪ ਵਿੱਚ ਲਿਖੋ |
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Answer» I can't UNDERSTAND this LANGUAGE |
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| 39. |
If sec2θ=cosec(θ-42) find the value of θ |
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Answer» Answer: 44 Step-by-step EXPLANATION: |
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| 40. |
Express the following in the from of p/q (i) 7.73 |
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Answer» Answer: 773/100 Step-by-step explanation: 7.73=773/100 |
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| 41. |
What is 1$ Is royals to in Indian rupees |
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Answer» Answer: |
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| 42. |
If a square+b square+c square=250 and ab+bc+ca=3,find a+b+c |
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Answer» (a+b+c)^2=a^2+b^2+c^2+2(ab+BC+aC)
=250+2×3 =256 |
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| 43. |
If the polynomial 2x^3+ax^2+3x-5 and x^3+x^2 -4x+a leave the same remainder when divided by x-2, find the value of a |
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Answer» a=-13/3................. |
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| 44. |
euclid,s division lemma states that for two positive integers a and b there exist unique integers q and r such that a=bq+r what condition r must satisfy. |
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Answer» Answer: Step-by-step explanation: a = 3q+r (Given) b = 3 (Given) According to the concept of EUCLID’s division Lemma, every integer has a certain divisibility rule. It states that any positive integer say ‘a’ can be divided by any other positive integer say ‘ b’ in such a way that it will LEAVE the remainder ‘r’. It further states that for any two positive integers ‘a’ and ‘b’ there exists two unique WHOLE numbers say ‘Q’ and ‘r’ such that , a = bq + r, where 0 ≤ r < b. Where, a is the dividend, b is the divisor, q is the quotient and r is the remainder. As per the question, since the integers are a and 3, thus Let the VALUES that 'r’ can take = 0 ≤ r < 3. Therefore, the possible values 'r’ will be 0,1,2. |
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| 45. |
Cos A cos c + cos ( A+ B) cos ( B+C)/ Cos A cos c - Sin C Cos ( B+ c) |
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| 46. |
euclid's division Lemma status that for two positive integers a and b there exist unique integers q and R such that a=bq+r what condition r must satisfy |
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Answer» Step-by-step explanation: since ,r will be more than b the we can DEVIDE and increase q. ex÷ 32=7×3+11 but can we say than when 32 is devided by 7 q=3 r=11 no so we can write 32=7×4+4 q=4 r=4 this SATISFIES that, r |
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| 47. |
if under root 18 minus 6 under root 5 is equal to under root a minus under root b then prove that a + b is equal to 18 |
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| 48. |
The square of a number is less than its 27 times by 180 . Which of the following can be the number ? a) 12 b) 16 c) 17 d) 18 |
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Answer» Answer: Number is 12 Step-by-step explanation: 27x - x^2 =180 x^2 - 27x + 180 = 0 x^2 - 12x - 15X + 180 = 0 x(x-12) -15(x-12) = 0 (x-12)(x-15) = 0 x = 12 & 15 |
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| 49. |
Uuuuua14ii) If (1 + cosa).(1+cos B).(1 + cos c) = (1 - cos a).(1-COS B).(1-Cosc)then prove that each is equal to+/- sin a.sin B.sin c |
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