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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. |
Find the area of a triangle whose sides are in the ratio 5 12 13 and its perimeter is 60cm. |
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Answer» The sides of triangle will be 5x , 12x , 13x Now Perimeter=60 Hence 5x+12x+ 13x=6030x= 60x=2 So the sides of triangle are 10 , 24 , 26 Now we can observe triangle is a right angled triangle as 26^2=24^2+10^2 This follows Pythagoras theorem Hence area of triangle=(1/2)*(24*10) =120 |
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| 2. |
Find the area of a triangle whose sides are in the ratio 5: 12:13 and its perimeter is 60cm. |
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| 3. |
The 15th term of an A.P. is 3 more than twice its 7th term. If the 10th term of theAP is 41, find its nth term. |
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Answer» can uh send one more tym ans coming wrong.....plzz try again in my book ans is 4n+1 |
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| 4. |
If the 8th term of an A.P is 31 and its 15th term is 16 more than the 11th term, find the A.P |
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Answer» A+7d =31a+10d+16=a+14d10d+16=14dd=431-7*4= a31-28= aa=33,7,11,15,19,____ |
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| 5. |
1. Find thearea of a triangle whose sides are in the ratio 5 12:13 and its perimeter is 60cm. |
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| 6. |
124+654 |
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| 7. |
900+1000-654/2*36 |
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Answer» 1,246 is your answer |
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| 8. |
1. Obtain the mean of the following distribution:41012Variable (x)Frequency (A 4142. The following table shows the weights of 12 workers in a factory:6972Weight (in kg) 60No. of workers6342Find the mean weight of the workers. |
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| 9. |
(1/9)×(13/5)+(1/45)×(x) =1 |
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Answer» Thanks For Answering this !! |
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| 10. |
using factor theorum factorise : y^3-2y^2-29y-42 |
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Answer» -2 is a visible roott^2+4t-21=t^2+7t-3t-21=(t-3)(t+7)thus 3 roots are -2 , 3 , -7(x+2)(x-3)(x+7) |
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| 11. |
The arithmetic mean calculated from the following frequency distribution is known to be 67.45 inches. Find the value of f3Height inches) :60-62 63-65 66-68 69-71 72-74Frequency : 15 54 f3 81 24 |
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| 12. |
3. The following observations have beenarranged in ascending order. If the medianof the data is 63, find the value of x.29, 32, 48, 50, x, x +2, 72, 78, 84, 95 |
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Answer» thanks |
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| 13. |
Srilatha, during her morning walk goes round a rectangularpark 3 times. If the length and breadth of that park are320 m and 210 m respectively, calculate the distance she hascovered.5) |
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Answer» perimeter=2(l+b)=2(320+210)=1060mhence she goes 3 times1060*3=3180m |
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| 14. |
The 8th term of an AP is 31. If its 15th term exceeds its 11th term by 16 |
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Answer» since A.P series is like this a, (a+d), (a+2d), (a+3d), (a+4d), ……………………………. , {a+(n-1)d} and nth term is given by = {a+(n-1)d} so 8th term will be a+7d , 11th term will be a+10d and 15th term will be a+14d so as per qn. a+7d= 31 ……………… (1) & a+14d = a+10d +16 therefore 4d = 16 & d = 4 ……………….. (2) use by using (2) in (1) a + 7 *4 = 31 we get a = 31–28 = 3 so the required A.P will be 3, 7, 11, 15, 19, 23, Like my answer if you find it useful! |
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| 15. |
(16)^3/4 |
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Answer» =2^4×3/4=2^3=8(ans.) (16×16×16)/4 = 4×256 = 1024 |
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| 16. |
3x + 3 = x +7 |
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Answer» 5x+3 =3(x+7)5x+3=3x+215x-3x=21-32x=18x=9 x=9 is a correct answer x=9 is the correct answer 5x+3=3(x+7)5x+3=3c+215x-3x=21-32x=18x=9answer x=9 is the best answer |
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| 17. |
using factor theorum factorise : 3x^3-x^2-3x+1 |
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Answer» -1 and -1/3 is a root of this quadratic equation .3t^2+4t+13t^2+3t+t+1(3t+1)(t+1)thus this is equal to (x-1)^2*(3x+1) |
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| 18. |
3x+1/x+1 + x+1/3x+1 =5/2 |
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Answer» Let 3x+1/x+1 = yy + 1/y = 5/2y^2 + 1 = 5y/22y^2 + 2 = 5y2y^2 - 5y + 2 = 02y^2 - 4y - y + 2 = 02y(y - 2) - 1(y - 2) = 0(2y-1)(y - 2) = 0y = 1/2, 2 For y = 1/23x+1/x+1 = 1/26x + 2 = x + 15x = 1 - 2x = - 1/5 For y = 23x+1/x+1 = 23x + 1 = 2x + 23x - 2x = 2 - 1x = 1 |
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| 19. |
कीजिए?(A) 2-3(C) 16-3(B) 2+5(D) 4-3 |
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Answer» option (c ) Sahi hai bhai C.16-✓3. |
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| 20. |
3x-1 84x +1 1391-x 3x-1-x 116 |
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| 21. |
3x+1/x+1 + x+1/3x+1=5/2 |
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| 22. |
11. The length and breadth of a playground are 80 mand 35 m respectively(i) Find the cost of levelling it at? 1.50 persquare metre.(in) How long will a boy take to walk two timesround the field, if he walks at the rate of 15 mper second? |
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| 23. |
A boy covers a distance of 4.32 km in 4 min 43 s. Find the speed of the boy. |
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| 24. |
8th term of 1, 2, 4.,.... |
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Answer» a=1,n=8r=4/2=2/1=2it is a gpa(r^n-1)/(r-1)1(2^8-1)/(2-1)2^8-1 |
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| 25. |
16^((-3)/2)*(2^(3/5))^(5/2) |
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| 26. |
. Find the rate at which a certain sum of money will almost double itself in 2 years, if the interescompounded annually. |
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| 27. |
The 8th term of G.P .S 10, 20, ...... is |
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Answer» a=first term=10r= common ratio=20/10=2nth term of gp is ar^(n-1)So 8th term is ar^(8-1)==10(2)^7=10(128)=1280 |
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| 28. |
there is a circular ground with radius 44m and a boy have to complete 2rounds of the circular ground.than find out the total distance covered by the boy |
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Answer» please like my answer if you find it useful 1,105.28m is the ans ,your ans is wrong |
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| 29. |
the ratio of the number of boy and girls in a class is 9:5 find the number of boy , if the total number is student in a class is 42 |
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Answer» Boys : Girls = 9 : 5 Suppose Boys are 9x and girls are 5x Total 42 students. 9x + 5x = 42 14x = 42 x = 3 Number of boys = 9x = 9×3 = 27 If you find this answer helpful then like it. |
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| 30. |
In Euclid's Division Lemma, whena bą+rwhere a, b are positive integers thenwhat values r can take? |
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Answer» In Euclid division lemma a = bq + r 0 ≤ r < b |
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| 31. |
. Find the 8th term in the expansion of (1 +3x)-1/3, |
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| 32. |
Find the distance of the line 2r +y 3 from the point (-1, 3) in theirection whose slope is 1.] |
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| 33. |
) Why has Euglena been classified as a plantas well as an animal? |
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Answer» Why Euglena is considered a plant?1)It contains chloroplasts in its cytoplasm2)It is able to produce its own food by photosynthesis when light is availableWhy Euglena is considered an animal?1)It can actually move as it has a flagellum. Movement is usually associated with animals.2)It feeds on food whenever it needs to feed by engulfing the food with its body as our phagocytes do when the sunlight is not available.3)It has a so called eyespot which is light sensitive and can be compared to our modern eye. |
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| 34. |
5*16^(3/4) |
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Answer» 5 × 16¾ 5 × (2⁴)¾ 5 × 2³ 5 × 8 40 |
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| 35. |
( \frac { 81 } { 16 } ) ^ { - 3 / 4 } |
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Answer» (81/16)-¾ = (3⁴/2⁴)-¾= (3/2)⁴.-¾= (3/2)-³= (2/3)³= 8/27. (81/16)-¾(3⁴/2⁴)-¾(3/2)⁴-¾(3/2)-³(2/3)³8/270.296... |
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| 36. |
(2/5)^(-3)*((25/9)^(-3/2)*(81/16)^((-3)/4)) |
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| 37. |
How munt dirirad of- 35808, |
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Answer» thank U.. |
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| 38. |
p.a. simple interes t? |
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Answer» SI = P*R*T/100P =?, R = 10%, T = 4 yrs, SI = 4600 Then, 4600 = P*10*4/100P = 46000/4 = 11500 Annual Installment = Rs 11500 |
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| 39. |
2.Express the following in exponential form:(i)6×6×6×6(ii)t×t |
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Answer» ( 1 ) 2^ 4 × 3 ^ 4 (2) t ^ 2 |
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| 40. |
In a row of students, Gopi is the 7th boy from left and Shankar is the 5thboy from the right. If they exchange their seats, Gopi is the 8th boy from theright. How many students are there in the row? |
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Answer» it means. gopi and Shankar are sitting just aside to each other , because gopi's count changed by 1 (8-7 = 1) so, num of students = 7+5 = 12 gopi is 8th boy from the Right how is it possible yes , i got.. it.. there is an error in the question i guess.. , because if Shankar is at 5th from. R , then how can gopi will be 8th, i think in the last line.. of the question it should be left , instead of right. and then the answer will be 12. |
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| 41. |
S. Hnd the value of x in adjacent figure.3x3 X |
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Answer» as all the three sum will make 180° linear angles make sum of 180°so 3x+2x+5x = 180°10x= 180°x= 18° |
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| 42. |
Perform the indicated operations:(i) \left(-\frac{7}{8}+\frac{-5}{12}\right)+\frac{3}{16}(ii) \left(\frac{7}{3}+\frac{3}{4}\right)+\left(-\frac{3}{5}\right) |
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Answer» (i) take LCM of 8,12=24[(-7(3)+(-5)(2))/24]+3/16[(-21-10)/24]+3/16-31/24+3/16Take LCM of 24,16=48(-31(2)+3(3))/48(-62+9)/48-53/58 (ii) Take LCM of 3,4=12[(7(4)+3(3))/12]+(-3/5)[(28+9)/12]+(-3/5)37/12-3/5Take LCM of 12,5=60(37(5)-3(12))/60(185-36)/60149/60 |
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| 43. |
Find the difference between SI and CI on ( 12,000 at 9% per annum for 2 years. |
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Answer» First , we will calculate the SI = 12000*9*2 /100 = 2160 .Now, CI = Amount -PAmount = 12000(1+9/100)^2 = 12000* 109/100 *109/100 = 14257.20CI = 14257.20-12000 = 2257.20 Difference between CI and SI = 2257.20 - 2160 = 97.2 |
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| 44. |
XERCISE 0.1.Find the complement of each of the following angles:63°20° |
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Answer» (i)90-20= 70 degree(ii)90-63=33 degree |
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| 45. |
factorise the following expresses1362 6- 60269 30 bc+ 6abct qaba |
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| 46. |
2 marks.13A26 긁.at邪チ1 국ǐ甽司1T(2.)niubers is 1and their CM is 182. If one of the number is 26, then find the other |
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Answer» HCF=13LCM=182LCM×HCF=ONE NO.×OTHER NO.13×182=26×nn=(182×13)/26n=7×13n=91. Ans. |
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| 47. |
LengthXERCISE 15.1Find the lateral surface area of a cubewith edge 6cm. |
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Answer» Solution :Side of Cube = 6 cm (given) Lateral surface area of cube = 4(side)² L.S.A. of Cube = 4 (6)² L.S.A. of Cube = 4 (36)L.S.A. of Cube = 144 cm² |
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| 48. |
Two numbers are in the ratio 5: 8. If the sum of thenumbers is 182, find the numbers. |
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| 49. |
Which number will complete the series -2, 6, 14, 26, _, 62 |
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Answer» answer is 422+4=66+8=1414+12=2626+16=4242+20=62adding 4 multiplez 42 is correct answer of following question every two numbers have a difference of 4th table..as..2+4=66+8=1414+12=2626+16=4242+20=62 every two numbers have a difference of 4th table..as..2+4=66+8=1414+12=2626+16=4242+20=62so correct answer is 42 every two numbers have a difference of 4th table..as..2+4=66+8=1414+12=2626+16=4242+20=62so correct answer is 42 every two numbers have a difference of 4th table..as..2+4=66+8=1414+12=2626+16=4242+20=62so correct answer is 42 every two numbers have a difference of 4th table..as..2+4=66+8=1414+12=2626+16=4242+20=62so correct answer is 42 42 is the correct answer |
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| 50. |
Fitmbnows t 12.500 at 12% per annum for 3 years at simple interesRadha borows besne munt for the same time period at 10%ompounded aaly Who pays more interest and by how much3, |
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Answer» thanks |
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