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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. |
(vi) 3375(vin) 74088d. Find the smallest number by which each of the following numbers must be multiplied ocube :0) 135(ii)92Git) 3267ho following numbers must be divto ma |
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Answer» hence if 10 subtracted, perfect cube |
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| 2. |
(u) a lemon flavouleu Calluy7. It is given that in a group of 3 students, the probabi lity of 2 students not having thesame birthday is 0.992. What is the probability that the 2 students have the sanebirth day? |
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Answer» Thanks for this answer |
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| 3. |
Find the smallest numberhy which cach of the following numbers must be dividedobtain a perfect cube.3. |
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| 4. |
Find the cube root of 8000 ) 1382Find the smallest number by which each of the following numbers must be multiplied toobtain a perfect cube.i) 100ii) 675 |
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| 5. |
find the smallest no. by which each of the following numbers must be applied to obtain perfect cube1 243 |
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Answer» thank u |
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| 6. |
U.JOJFind the smallest number by which each offollowing numbers must be divided to obtainperfect cube.a. 7875b . 23625 c. 9317d. 1375 e. 6517f. 24167 |
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Answer» 7875/5=1575/5=315/5=63;; 63 the correct answer of the given question 63 is the right answer of this 63 is the correct answer 7857/5=1575/5=315/5=63 |
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| 7. |
49a²+17ab+25b² |
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Answer» 49a^2+70ab+25b^2-53ab=(7a+5b)^2-(root(53ab))^2=(7a+5b-root(53ab))(7a+5b+root(53ab)) |
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| 8. |
Find the sum of the following terms:(a) 17ab,-10ab,-2ab, 12ab |
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Answer» 17ab-10ab-2ab+12ab17ab-12ab+12ab17ab answer = 17ab |
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| 9. |
(рдкрдВ) - 10ab +4a +5b +2 |
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| 10. |
2 (121 :ar (55° + x) = cot (35° - x)ec (70° — 9) > ८०86८ (20? + 9)° 4+ A) = cos (62° — A) |
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Answer» i) tan ( 55 + x) = cot ( 90 - ( 55 + x)) = cot ( 35° - x) ii) sec ( 70° - ) = cosec ( 90° - ( 70 - )) = cosec ( 20 + ) iii) sin ( 28° + A) = cos ( 90 - (28 + A)) = cos ( 62° - A) |
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| 11. |
a> -10ab+2562 |
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Answer» (a-5)^2 is the correct answer |
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| 12. |
of the cylinder.9. A swimming pool 70 m x 44 m x 3 m is filled by water issuing from a pipe of diameter 35 cm at6 m per second. How many hours does it take to fill the pool |
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Answer» Length of a swimming pool(l)= 70 m Breadth of a swimming pool(b)= 44 m Height of a swimming pool(h)= 3 m Diameter of pipe(d)=35 cm= Radius of pipe(r) = d/2= 35/2= 17.5 cm= 17.5/100= .175 m Length of water(h) flowing in a pipe in x seconds = 6 x Capacity of swimming pool= l× b×h Volume of pipe = πr²h Volume of water flowing through a cylindrical pipe =Capacity of swimming pool πr²h= l× b×h 22/7×(.175)²×6 × x =70×44×3 22/7×.175 × .175×6x =70×44×3 x= (70× 44× 3× 7) / ( 22× .175× .175 × 6) x= 10000000/25×25= 10000000/625 x= 16000 sec x= 16000/3600 hrs x= 40/9 hrs= 4 4/9 hrs Hence,the pipe takes 4 4/9 hrs to fill the swimming pool. |
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| 13. |
( 3 x + 7 ) \text { is a factor of } P ( x ) = 6 x ^ { 3 } + 29 x ^ { 2 } + 44 x + 21 |
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Answer» P(x)=6x^3 + 29x^2 + 44x +21P(-7/3)= 6(-7/3)^3 + 29(-7/3)^2 +44(-7/3)+21=-686/9 +1421/9 -308/3 +21=735/9 - 308/3 + 21=0 hence proved |
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| 14. |
prove that the tangents drawn at the ends of chord of a circle make equal angles with chord |
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| 15. |
Prove that the tangents drawn at the end points of a chord of a circlemake equal angles with the chord. |
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| 16. |
e cube md Sphere has samesuface aea. Then ovs ihsd ieSane |
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Answer» expert please help dear pooja u always help me thnxx😍😍😘 you're welcome :) if u could answer my another question also posted on scholr... |
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| 17. |
Finol the aea e4i |
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Answer» Area of shaded region= Area of rectangle- Area of circle. For the rectangle, l= 14 b=7 A(rectangle) =l×b = 98For the circle,2r=14r=7 Area of circle = π×r×r=π×7×7 =49 π Put π=22/7 A(circle) = 22×7 = 154 So,Area of shaded region = 98-154 . |
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| 18. |
7. Identify like terms in the following: |
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Answer» Like terms:-xy², 2xy². -4yx², 20x²y. 8x², -11x².7y, y. -100x, 3x. -11xy, 2xy. Please hit the like button if this helped you |
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| 19. |
8ab-5ab,3ab-ab |
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Answer» 8ab-5ab=3ab 3ab-ab=2ab |
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| 20. |
Group the like terms from the given set. |
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Answer» A. 1,9B. 7x², 18x²C. 8y , 63yD. 17xy² , 76xy²E. 29x²y |
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| 21. |
8ab(a²+b²)=624 |
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| 22. |
छुपा 244 + उतवा - ऊच[ चैक s 8ab -0 |
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| 23. |
Simplify combining like terms216 32+75 - 205 |
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| 24. |
Simplify combining like terms:21b-32+7b-20b |
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| 25. |
1. Largest number which divides:105, 175, 245.(a) 5(c) 7(b) 45(d) 35 |
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| 26. |
2Write five examples of twin primes as well as co-primes. |
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Answer» The first few twin prime pairs are: (3,5), (5,7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, 109), (137, 139) You can have the set of positive integers which arecoprimeto a givennumber. eg: 1 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 25 , and so on. |
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| 27. |
10. Wildl are lwin primes? Write all the pairs of twin primes between 50 and 100.13. What are co-primes? Give examples of five pairs of co-primes. Are co-primes alvprimes? If no, illustrate your answer by an example.14. Express each of the 11 |
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Answer» Co prime Two numbers are coprime if their highest common factor (or greatest common divisor if you must) is 1. You can have the set of positive integers which are coprime to a given number: for example those coprime to 12 are 1,5,7,11,13,17,19,23,25 and so on |
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| 28. |
Write any four pairs of twin primes. |
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Answer» Atwin primeis aprime numberthat is either 2 less or 2 more than another prime number (3, 5), (5, 7), (11, 13), (17, 19), (3,5),(5,7),(11,13),(17,19) |
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| 29. |
(a) T T ¢(xx 4)2 = [x ¢ 4) +6=0, (x #4).L =4 - 4(b) B IR थर्क्हि मश्थात अकक AN W‘afiR AT T 6 (AN R RIS STAT 5T 12 कभ। मश्थापिति अकाफकत उऊध्क की की206 AR १ |
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Answer» hit like if you find it useful |
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| 30. |
(A) 6If f: R â R such that f(x) = 3r-4 then which of the following isf-1 (x) ?(B) 4(C) 2(D)U |
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Answer» f(x) = 3x - 4 = y x =( y + 4)/3 So, f inverse (x) = (x+4)/3 |
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| 31. |
simplify combining like termsĐž 21b-32 + 70-20b |
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Answer» it's not clear |
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| 32. |
S )उप 245 शर्त |
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Answer» hit like if you find it useful |
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| 33. |
In Fig. 6.37 , if $\Delta \mathrm{ABE} \cong \triangle \mathrm{ACD},$ show that$\triangle \mathrm{ADE} \sim \triangle \mathrm{ABC}$ |
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| 34. |
1. Simplify combining like terms:0) 21b-32 +7b-20b |
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Answer» 21b-32+7b-20b=28b-20b-32=8b-32 |
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| 35. |
The length of a rectangle is 27m longer than its breath . If the perimeter of the rectangle is 110m find its area. |
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Answer» Breadth=xLength=x+27Perimeter=2(length+breadth)110=2(x+x+27)55=2x+2728=2xx=14 Breadth=14mLength=41mArea=14*41=574m² Tx |
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| 36. |
1. जाँचिये कि . एक परिमेय संख्या है या अपरिमेय?2. जाँचिये कि -- एक परिमेय संख्या है या अपरिमेय?3. जाँचिये कि संख्या 245 +320 ।** 20, सरल करने पर परिमेय संख्या प्राप्त होगी या अपरिमेय ।2454. संख्या 1/2 का दशमलव प्रसार, दशमलव के कितने स्थानों के बाद स्थगित होगा? |125) |
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| 37. |
(vii) 99 48/49 x 245= ? |
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Answer» 99*48*245/49 = 99*48*5 = 23,760 first multiply numerator then divide by 49.Answer will be 23760. |
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| 38. |
a, 39% of 245b. |
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| 39. |
timate the follov39% of 245 |
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| 40. |
c. 543 + 478-354d. 245 + 199-298 = |
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| 41. |
list price of a DVD player isVD player.13,500. If the rate of VAT is 11%, find the selling price |
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| 42. |
(h) Any lieger22. Write the additive inverse for the following integers(b) 22(a) - 18(c) - 110(d) 110 |
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Answer» (a) -18 can also be written as -18/1Therefore,-18/1 + 18/1 =0Hence, additive inverse of -18/1 is 18/1. additive inverse means of sum of both numbers become 0. ( a ) +18( b ) -22( c ) +110( d ) -110 a. 18b. -22c. 110d. -110 (a)-18Therefore, -18+18=0Hence , additive inverse of -18 is 18. (b)22Therefore, 22/1 + (-22)=0Hence, additive inverse of 22 is -22. (c) -110Therefore, -110+110=0Hence, additive inverse of -110 is 110. (d)110Therefore, 110+(-110)=0Hence, additive inverse of 110 is -110. (a) +18 is the additive inverse of -18(b) -22 is the additive inverse of 22(c) 110 is the additive inverse of -110(d) -110 is the additive inverse of 110 +18-22+110-110 are the answers ( a ) 18 ( b ) -22( c ) 110 ( d )-110.please like my answer a.18b. - 22c.+110d. - 110 18,22,110,110 is the correct answer of the given question ( a )+18( b )-22( c ) +110( d )-110 |
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| 43. |
M) Price of a DVD player including 12% VAT is4480. Find the price of the DVDplayer before VAT is added. |
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Answer» let original price be xsowe get an equationx + 12% of x = 4480x + 12x/100 = 4480(112x)/100 = 4480x = (4480× 100)/112 = 4000original price ₹4000 |
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| 44. |
M) Price of a DVD player including 12% VAT is? 4480, Find the price of the DVDplayer before VAT is added. |
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Answer» let original price be xsowe get an equationx + 12% of x = 4480x + 12x/100 = 4480(112x)/100 = 4480x = (4480× 100)/112 = 4000original price ₹4000 |
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| 45. |
the length of a rectangle is 27m longer than its breath. If the perimeter of rectangle is 110m, find its area. |
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Answer» l=b+27. Perimeter= 2(l+b) => 110= 2(2b+27)=> 55-27 =2b=> 2b = 28=> b= 14. l= b+27=> l= 14+27=> l= 41m. Area =l*b= 41*14= 574 sq metres |
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| 46. |
\lim _{n \rightarrow \infty} \frac{\sum n^{3}}{n^{4}} |
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| 47. |
\lim _{n \rightarrow \infty} \frac{|n+2+\lfloor n+1}{\lfloor n+2-|n+1} |
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| 48. |
\lim _{n \rightarrow \infty} \frac{n+1}{n} |
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| 49. |
\lim _{n \rightarrow-\infty} \frac{n+1}{n} |
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| 50. |
128Mathematics for ClEXERCISE 81. Show that 30, 40, 45, 60 are in proportion. |
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Answer» Yeah it is in proportion as the product of extreme is equal to product of means. 30×60 = 40×45 1800 =1800 |
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