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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. |
Type- 2 Short Answer Type Questions-6.) In Δ ABC, if 32 A = 4<B = 6LC. Calculate <A,<B and <C. |
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| 2. |
6. Ater how many decimal places will the decimal expansion of 24 i terminate ?er how many decimal places will the decimal expansion of 24 Ă 53 termina23 |
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Answer» 2⁴ = 16 5³ = 125 Thus, 2⁴ X 5³ = 16 X 125 = 2000 As per the question, 23/(2⁴ X 5³) = 23/2000 = 0.0115 Therefore, after 4 decimal places the decimal expansion of 23/(2⁴ X 5³) terminates. |
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| 3. |
Without actually performing the long division, state whether the rational number13/3125 will have a terminating or non-terminating decimal expansion.1. |
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Answer» 3125 = 5*5*5*5*5 = 5⁵13/3125= 13/5⁵= (13*2⁵)/(5⁵*2⁵) {Multiplying the numerator as well as the denominator with 2⁵}= (13*32)/(10⁵)= 416/10⁵= 0.00416 It is a terminating decimal. Like my answer if you find it useful! |
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| 4. |
8§ Onioh b GouTen wdhaue Soydtelu m0५0: पु ९,५12 |
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Answer» Given equations kx + y = k^2 and x + ky = 1 have infinitely many solutions Then, k/1 = 1/k = k^2 /1 So,k^2 = 1k^2 - 1 = 0(k - 1)(k + 1) = 0k = - 1, 1 Value of k is 1 and - 1 |
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| 5. |
0.24(ii) 2.327wp3.1717.215 (vi) -21.2137ational numbers have terminatiWithout actual division, find which of the following rational num219decimal expansion2200701282.3.6 Decimal Representation to Identify Irrational NumbersIt can he shown that irrational numbers when expressed as decimal numbers, do |
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Answer» 7/125 = 0.056; 21/15=1.4 4) 21/35= 3/5multiply by 2both numerator and denonumeter= 3×2/5×2=6/10= 0.6is the answer= 60/100= |
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| 6. |
ulas sold atagain d 10% Hend迁baur.alawould haue hum W'le Find ho65 mare, theCoat hnice, tho- |
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| 7. |
\left| \begin{array} { c c c } { 265 } & { 240 } & { 219 } \\ { 240 } & { 225 } & { 198 } \\ { 219 } & { 198 } & { 181 } \end{array} \right| = 0 |
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| 8. |
92*4279 %2B 8*54279 |
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Answer» correct answer is 8,27,900 827900 is the correct answer.... 827900 is thr correct answer.... 827900 is the right ans.. 827900is the right answer 827900 is the best answer of the following question the correct answer is 827900 827900 is the correct answer of the given question 872900 is the correct answer 827900 is the correct answer of the given question 827900 is the right answer |
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| 9. |
= q S %2B D : 92 = q S %2B D \varepsilon |
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| 10. |
28. If 4 sin2 θ-1 and θ is an acute angle, find the value of θ and hence the values of cose+sin20Timeand cos28-2θs inGene |
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| 11. |
2*x %2B 7/2 > (5*x)/3 %2B 3 |
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Answer» 2x + 7/2 > 5x/3 + 32x - 5x/3 > 3 - 7/2(6x - 5x)/3 > (6 - 7)/2x/3 > - 1/2x > - 3/2 Therefore,Range of x is (-1, infinity) |
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| 12. |
what is the gravitational force between the earth and mass of 20 kg placed on its surface |
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Answer» A similar question is already been answered. Please refer to that. |
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| 13. |
(C) 35Sum of squares of two numbers is 125, Find theirtheir sum is 25.product, ir |
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| 14. |
- Pt T BV पर... कर... चेक A% RANS VY ulb 3E iel |
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Answer» x/2 - 1/2 = x/3 + 1/4=> x/2 - x/3 = 1/4 + 1/5 [ Transferring x terms to one side]=> x/6 = 9/20=> x = (9*6)/20=> x = 2.7 PLEASE HIT THE LIKE BUTTON |
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| 15. |
19 - 88 - 32 %2B 67 - 4 - 5 %2B 92 |
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Answer» 92-5-4+67-32-88+19=49 92-5-4+67-32-88+19=92+67+19-5-4-32-88=178-129=49 is right answer 49 is the correct answer 49 is the correct answer |
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| 16. |
(-25 %2B 7)/(-2 %2B 2) |
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Answer» can't be determined as the denominator becomes 0 |
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| 17. |
ExtraI Mad4. Ex-2)(x-5) = (x-2)(22+4) +8829-9x+5 = (acto |
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| 18. |
EXERLEVEL-1out actually performing the long division, state whether the followiners will have a terminating decimal expansion or a non-terminatingnal expansion23812544135500INCERT987[NCERT] (v) Fishy (vi)面INCERTBderimal expansions of the following rational numbers by129210 |
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| 19. |
3. If the system of linear equations:x + 3y +7z=0-x+4y +7z=0(sin38)x+(cos28)y + 2z = 0has a non-trivial solution, then the numberof values of lying in the interval [0, ,is :(1) more than three(2) one3) two(4) three |
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Answer» 3 is the right answer |
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| 20. |
following rationalinating repeatingLEVEL-11. Without actually performing the long division, state whether the followingnumbers will have a terminating decimal expansion or a non-terminating redecimal expansion35(iii) 50 [NCERT]2.. 125(ii) 441129987(iv) INCERT]INCERT EXEMPLARI2102² x 57 x 717"105002. Write down the decimal expansions of the following rational numbers by writingtheir denominators in the form 2" x 5", where m, n are non-negative integers.(ii) 125(iii) 50 |
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Answer» yes it is correct answer |
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| 21. |
व ऑकडों का माध्य ज्ञात कीजिए :.e -e "“0 और उससे जया >| 10 और उससे ज्यादा n| 20 और उससे ज्यादा n30 और उससे ज्यादा o40 और उससे ज्यादा 5432% 50 और उससे ज्यादा60 और उससे ज्यादा70 और उससे ज्यादा80 और उससे ज्यादा |
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| 22. |
G A ii eबसके दो बच्चों की औसत आयु 17 पर्ष हैही पत्नी और उन्हीं बच्चों की औसत आयु 10दि राम की आयु 33 वर्ष है तो उसकी पतली (0) 30N A N\ 5 |
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| 23. |
S stanuDirections (Q.NO1. 15 + 12.5 x 35(o Nos. 1-8) What will come in place of the questio125 X 35 + 42.8 x 2.5 = ?? + 102(2) 6 (3) 7.5 (4) 5.2(1) 8(5) 7 |
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Answer» 15÷12.5=1.21.2×35=4242.8×2.5=107107+42=149149-100=497=√49(5) 7 7 is the correct answer of this problem. 7 is the correct answer 5) 7 is the right answer of the following |
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| 24. |
The factor of 2mx - 2my-nx + ny is: |
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| 25. |
3. IFG = {7,8} and H = {5,4,2), find G × H and H ×G |
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Answer» G×H=(7,5),(7,4),(7,2),(8,5),(8,4),(8,2)H×G=(5,7),(4,7),(2,7),(5,8),(4,8),(2,8) |
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25, Prove that the roots of the equation x2-2mx + m2 + n2 = 0 are complex |
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| 27. |
10) For which the value of m, x +3 is the factor of the polynomial x-2mx+21 ? |
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| 28. |
Locate v10 on the number line.14 For what value ofm is x-2mx+ 16 divisible by x + 2?QR |
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| 29. |
81 ( x + 1 ) ^ { 2 } + 90 ( x + 1 ) ( y + 2 ) + 25 ( y + 2 ) ^ { 2 } |
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Answer» can u send me the whole procedure ok..give me 5 minutes to do thank you very much di! |
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| 30. |
-81*y^2 %2B 25*(2*x - y)^2 |
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Answer» (5(2x-y))^2- (9y)^2using a^2-b^2 =(a+b)(a-b)=(10x-5y+9y)(10x-5y-9y)=(10x+4y)(10x-14y)=2(5x+2y)+2(5x-7y)=2(5x+2y+5x-7y)=2(10x-5y)=2×5(2x-y)=10(2x-y) 10(2x-y) is the correct answer of the given question 100x square -4x square -56y square |
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| 31. |
225^{\circ}+\text { cot } 155^{\circ}=0 |
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| 32. |
DI0. The sum of three numbers is 68. If the ratio betwefirst and second is 2 : 3 and that between second anthird is 5:3, then the second number is(al 30(b) 20 |
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| 33. |
speeds in km per hour:(b) 30 m per second |
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Answer» 1m=1/1000kmhence 30m=30/1000km1sec=1/60hrhence30m per second will be 30/1000*60=1.8km/hr |
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| 34. |
\begin{array}{cc}{l} & {\mathrm{ml}} \\ {13} & {250} \\ {+14} & {758}\end{array} |
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| 35. |
The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Fincdiameter of the base of the cylinder. |
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| 36. |
The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find diameter of the base of the cylinder. |
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| 37. |
The curved surface area of a right circular cylinderof height 14 cm is 88 cm2. Find the diameter of thebase of the cylinder. |
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Answer» Given :h = 14 cm, curved, surface area = 88 cm2, r = ? Curved surface area of the cylinder = 2πrh 88 = 2 × 22/ 7 × r × 14 88 = 44 × 2 × r r = 88/ 44 × 2 = 1 Hence, base diameter of the cylinder = 1 × 2cm = 2 cm Like if you find it useful |
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| 38. |
22281. The sum of three numbers is 116. Theratio of second to the third is 9: 16 andthe first to the third is 1:4. The secondnumber isMN, a. 30the c. 34b. 32d. 36 |
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Answer» if you will go by options you will get the answer how |
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| 39. |
The curved surface area of a right circular cylinder of height 14 cm is 88 cm. Find thediameter of the base of the cylinder.I. |
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Answer» THANK YOU😄 |
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| 40. |
Find the diameter of the circular iron rod of lengt lll llThe circumference of the base of a cylinder is 88 cm and its height is 80 cm. Find the volumthe cylinder and its curved surface area.7.me hases of diameter 14 cm. Height of the cans is 10 cm |
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Answer» 7)Circumference =88 cm,height=60 cm and let radius =r circumference=2πr88=2*22/7*rr=88*7/22/2r=14cmvolume=πr²h=22/7*14*14*60v= 39390 cm³CSA= 2πrh=2*22/7*14*60 = 5280 cm²so volume is 39390cm³ and CSA=5280cm² |
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| 41. |
The honzontal distance between two poles is 15 m. The angle of depression of the topof list pole as seen from the top of second pole is 30". If the height of second pole is 24m, find the height of the first pole. (use 3 = 1.73) CBS |
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| 42. |
155« Vel बुध |
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| 43. |
Heights of students of Class X are given in the following frequencydistribution:Height (in cm) 150-155 155-160 160-165 165-170 170-175Number of152012studentsFind the modal height.ICBSE 2014 |
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| 44. |
Express in kg using decimals.b. 2476 g |
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Answer» the answer is 2.476kg the answer is 2.476kg 2.476 2.476 is the correct answer 2.48 KG this is the correct answer 😇 The answer is 2.476kg =2kgs 476gramsans :2.476 kgs |
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| 45. |
Can you write 456g as kg using decimals |
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Answer» as 1000g = 1kg 1g will be equal to 1/1000then 456 gm will be equal to 1/1000*4560.456 kg |
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| 46. |
-Express thefollowing in cm using decimals.75 mm |
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Answer» 1mm=1/10cm=5mm=5/10=0.5cm yes 0.5 is the answer 0.5cm is correct answer. 1mm=1/10cm=5mm=5/10=0.5cm yo, man 0.5 is the correct answer 0. 5 cm.................... |
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| 47. |
2 Express as metres using decimals(a) 15 cnm(d |
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| 48. |
s mentioned, using decimals(b) 5 kg 146 g into kg |
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Answer» 1000 grams = 1kg1 gram = 1/1000kg146 grams= 146/1000kg5.146 kgplease like the solution 👍 ✔️ |
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| 49. |
9. Using decimals, express(a) 7 liter 758 ml in Liters. |
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Answer» 7 liters= 7000 mlnow 7000+7587758mlor 7.758 litre |
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| 50. |
6. Find the mean of first five natural numbers.atural number |
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Answer» Hence the first five natural number are 1 2 3 4 and 5 we have to find the main of the first natural number the means is calculated by dividing the sum of observation by the number of observation First Five Natural Numbers - 1,2,3,4,5 Thus total no. of observations - 5 Sum of observations- 1+2+3+4+5 = 15 Since mean = (Sum of observations)/( Total no. Of observations) Thus mean = 15/5 Mean = 3 1,2,3,4,5 is all numbers sum is also 5 |
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