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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. |
26. The bacteria in a culture grows by 10% in the first hour, decreases by 10% in the secondhour and again increases by 10% in the hird hour Find the bacteria at the end of 3 hours ifthe count was initially 20000 |
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26. The bacteria in a culture grows by 10% in the first hour, decreases by 10% in ule secondhour and again increases by 10% in the third hour. Find the bacteria at the end of 3 hours ifthe count was initially 20000. |
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olage Speed of the plane& For a race Manish ran at a speed of 6 m/s for 10 seconds. He ran a further 40 m at a speed of 8 m/s.What is his average speed for the race in km/h? |
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Answer» Average speed of manishhe total. run = 6 ×10 =60further 40m total 100mtime taken = 10 secfurther. 40/8 = 5sectotal 15 sec so his speed = 100 m / 15 sec =. 6.667 m/s |
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| 4. |
SUBJECT-MATHSSESSION 2019-20CLASS Vset of school uniform is available for Rs. 250. Find the cost of 120 such schooluniforms. |
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Answer» Cost of 120will be 120*25030000 Cost of 1 uniform =250Cost of 120 = x1x=250 *120= 30000 rupees cost of 1 uniforn .120 than 250 120 into 250 30000 250*120=30000is the correct answer cost of 1 uniform =250cost of 120=x1x=250×120=30000 answer. cost of one uniform = 250 so cost of 120 uniforms are 250*120 = 30000 |
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Q2: Find the zeroes of the polynomial 2x2-5x-3. |
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Answer» 2x² - 5x - 3 2x² - 6x + x - 3 2x ( x - 3) + ( x - 3) ( 2x + 1) ( x - 3) So, x = -1/2 and 3 |
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| 6. |
(iii) A cone has one...... face and one |
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Answer» A cone has one circular face and one curved face |
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| 7. |
(111) Yuulent is all alldildi T T12. Find two irrational numbers between 0.5 annd 0.55. |
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| 8. |
8. The perimeter of one face of cube is 20 cm. Find volume. |
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Answer» Face of cube is a square.So perimeter is 4 × side.4 × side = 20cmSide = 5 cm Volume of cube = (Side)³ = 5³ = 125 cm³ |
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| 9. |
() The perimeter of one face of a cube is 36 cm. Find its total sttace |
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Answer» Givenperimeter if one face =4a=36 cma=36/4=9cmTsa = 6a²=6×9×9= 486 cmLike if you find it useful |
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| 10. |
9. Find the volume of a cube, one face of which has an area of 64 cm2 |
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| 11. |
Q 1: Write the form n winctuQ2. Form a quadratic polynomial, ore of whose zero is 3 +V5 and sum of zeroes is 6.4li system of equations has a unique |
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Answer» aOne zero = 3 + √5 • Sum of zeros = 6 So , Second zero = 6 - ( 3 + √5 ) = 6 - 3 - √5 = 3 - √5 Now , Quadratic equation = x² - ( sun of zeros )x + product of zeros x² - ( 6 )x - ( 3 + √5 ) ( 3 - √5 ) = x² - 6x + [ ( 3 ) ² - ( √5 ) ² ] = x² - 6x + [ 9 - 5 ] = x² - 6x + 4 |
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| 12. |
11. Find the matrix X such that 2A-B + X = Owhere A1and B =1-2 |
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| 13. |
[123][-7-8-94 5 6 2 4 611.Find the matrix X so that X |
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| 14. |
6.Solve the matrix equationwhere X is a 2x 2 matrix. |
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| 15. |
Question Ii Find the matrix X for which:5 41 -2 |
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Answer» answer is wrong it's matrices |
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| 16. |
EXERCISE 8.112-2e/qué angles of quadrilateral are in the ratio 3-1-5-g-H3. Find all the angla cqual then show that it is a rectangl |
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| 17. |
Alal is a 3 x 2 matrix and ajj = 3i - j then find the matrix A. |
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Answer» when j= 1 i=1, 3-1 = 2 for i =2,3 simply add 3 and 6 as 3 multiple we have to take So 2,5,8 First column elements 2 nd column 3-2 = 1 Same add 3,6 1,4,7 So matrix is. | 2. 1| | 5. 4| |8. 7| |
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| 18. |
PLE 12 Find two irrational numbers lying between 2 and 3. |
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Answer» the answer is √2.5,√2.75 √2+√3/2=2.28 it is 1st and 2nd is √2+2.28/2=2.55 |
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| 19. |
0eangles ofa Δ are in the ratio 2 : 3 : 4, Find the anglnrled di, one acute angle is twice the other, f |
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| 20. |
EXAMPLI3) Find two irrational numbers between 0.12 and 0.13. |
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Answer» Irrational numbers between 0.12 and 0.13 are-0.12<0.12112111211112....<0.1213141516171819....<0.13 |
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| 21. |
3. Find two irrational numbers between 0.16 and 0.17. |
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Answer» The two irrational numbers between 0.16 and 0.17 are ;1. 0.16116111611116......2. 0.162162216222162222...... |
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| 22. |
14. Find two irrational numbers between 0.1 and 0.12. |
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Answer» two irrational numbers between 0.1 and 0.12 are 0.6 and 0.9 0.1056...... ,0.10543.... two irrational numbers between 0.1 & 0.12 are 0.6 & 0.9 It can be30/300and32/300 and many more 0.001 and 0.002 are the two irrational no. 0.1056........0.10543is the best answer 0.6 and 0.9 is the correct answer |
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| 23. |
1 DLL3. Find two irrational numbers lying between 0.1 and 0.12. |
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Answer» a =0.1b=0.12 here a and b are rational |
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| 24. |
4 Find two irrational numbers between 0.7 and 0.77 |
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Answer» 0.7, 0.17, 0.37,47, 57, 67,77 0.71771777177771and0.7656656666566665 natural nos between .7 & .77 are .71, .73 0.71111111111111,722222222222 |
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| 25. |
4. Find the condition thatthe zeros of the polynomial fa)x+3px2 + 3qr+r may bein A.P. |
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| 26. |
01. Find the value of each of the following.(c) 30% of 500fa) 905 of 50(b) 100% of 85(f) 130% of 50(d) 151 of 200le) 756 of 132Q2.Find the value of each of the following. (write the units at the end)Find thefa) 30% of 20 kgb) 78 of 900(c) 15% of 400 mlId 205 of 60 daysfel 25 of 250 cm10) 10% of an hour(give answer in minutesQ3.Out of 40 children in a class, 40% are boys and rest are girls. What is thestrength of boys and girls in the class?The price of a motor bike is 40,000. Priyank got a discount of 15%. Howmuch did he pay for the bike?How04.How,150 students were taken for a movie. 60% of the students liked the movie. Hestudents did not like the movie?Smita gets 94 marks in her test. These marks are 47% of the total marks. Finalmaximum marks. {Wint: 47% of total marks =94)Q7. In an exam, a student secured 80% on 20 word problems. How many word problemsthe student answer correctly?Q8. A gold biscuit weighs 80 g. 90% of the gold bar is of gold and rest is silver. How mangrams of gold and silver are there?09. Kavita has a necklace of 25 beads. 60% of the beads are pink in colour. CoolHow many pink beads are there on her necklace?Q10. in an election, there are a total of 80,000 voters and there are two candidates A and80% of the voters go for the polls and out of which 60% vote for A. How many votes dosB get? |
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Answer» 1) i) 90x 30 /100= 27; ii) 100 × 85/100=85; iii) 30 x 500/100=150 |
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| 27. |
herefore,mZAOD=mZCODhese angles being a linear pair, each is right anglEXERCISE 3.41. State whether True or False.(a) All rectangles are squares(b) All rhombuses are parallelograms(C) All squares are rhombuses and also recta(d) All squares are not parallelograms.2. Identify all the quadrilaterals that have.(a) four sides of equal length3. Explain how a square is.(1) a quadrilateral (ii) a parallelogran4. Name the quadrilaterals whose diagonals.(1) bisect each other (ii) are perpendicu3. Explain why a rectangle is a convey anadril |
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Answer» Q1 a -F ,b-T ,c-F , d-T Q2 a yes ,because all sides are equal Q3 (i) a qaudrilateral Q4 (i) bisect each other 1. a-- falseb-- truec-- falsed-- true2. square and rhombus3--- i 1) A- false b-true c-false d-true2)square and rhombus3)-1 1)Falsetruefalsefalse2)square and rhombus3) i.four sideii.opposite side are equal 4)i.squareii.rectangle |
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If sin θthen find the value of sin 28. |
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| 29. |
7.Find two irrational numbers between 2 and 3. |
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Answer» two rational number between 2and 3 are 2.1 and 2.2 two rational number between 2and 3 are 0.2322322232222 and 0.424424442444 two irrational numbers are 2.1 and 2.2 2.03003,2.0050005 hope answer is correct two irrational number between 2 and 3 are 2.1 and 2.2 |
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12 children out of 72 in a school have pets what is the percentage of children with pets in the school |
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Answer» percentage of children having pets12/72*100=16.66 |
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| 31. |
1) यदि cos (28 +54°) = sin 8. जहाँ (28 +54) एक न्यूनकोण है तब 8 का मान ज्ञात कीजिए। |
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Answer» Cos(2theta+ 54)= cos(90-theta)2theta+54= 90-theta3theta= 144theta= 144/3= 48° |
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| 32. |
FXAMPLE5 Find two irrational numbers lying between 2 and 3 |
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| 33. |
23:If tan (α-e)n tan (α-θ), show that (n + 1) sin 28-(n-1) sin 20. |
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| 34. |
4. Find general solution of equations:(ii) sin 28-45-1 |
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| 35. |
28. Iftan θ + sin 8-,n and tan θ-sin θ-n, then prove that m2-n2-4Vnn |
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| 36. |
sin2 22 +sin 68cos 22+cos 68째sin 63째+ cos 63째 sin 27째27d ous faos aren ofa hucket having radii 28 cm and 7 c |
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| 37. |
In given figure, ST 11 RQ, PS = 3 cm and SR-4 cm. Find the ratio of the area ofΔ PST to the area of Δ PRQ. |
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Answer» ar(PST)/ar(PRQ)=(PS/PR)^2 =(3/3+4)^2=(3/7)^2=9/49 |
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| 38. |
In given figure. ST-RQ. PS-3 cm and SR-4 cm. Find the ratio of the arPST to the area of Î PRQ.P 3cm S ëcm |
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Answer» Given: ST || RQ PS= 3 cm SR = 4cm We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides. ar(∆PST) /ar(∆PRQ)= (PS)²/(PR)² ar(∆PST) /ar(∆PRQ)= 3²/(PS+SR)² ar(∆PST) /ar(∆PRQ)= 9/(3+4)²= 9/7²=9/49 Hence, the required ratio ar(∆PST) :ar(∆PRQ)= 9:49 |
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| 39. |
xationalni in be an a ta20our bess betwee 12 an dr 3ーと.ki\.ion a I |
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Answer» √2 = 1.414√3 = 1.732 so, rational numbers between them are 3/2 , 8/5 and irrational number are → √2.4 , √2.6 |
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| 40. |
I No:Name :Date :Page No:Findatleasttwo irrational humbers betwee2 and 3 |
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| 41. |
dimensions of a rectangular box are in the ratio of 2:3:4 and the difference betweeost ofcovering it with sheet of paper at the rate of 8 and? 9.50 per m2 is乏1248, Find14.thethe dimensions of the box |
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| 42. |
Write in symbolic form how the two trianglesAin the given figures are congruent. Identifythe rule |
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| 43. |
₹ 6000 નું 6 1÷4 ટકાના દરે 3 વષૅ નું વ્યાજ શોધો |
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Answer» 6000×6.25×3/100 = 60×18.75 = 1125 |
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| 44. |
Why are we following standard time all over the world |
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Answer» If we had one singletime zonefor Earth, noon would be the middle of the day in some places, but it would be morning, evening and the middle of the night in others. Since different parts of the Earth enter and exit daylight at different times, we need differenttimezones. Fleming advocated the adoption of astandardor meantimeand hourly variations from that according toestablished timezones. He was instrumental in convening the 1884 International Prime Meridian Conference in Washington, at which the system of internationalstandard time- still in use today - was adopted. |
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| 45. |
distances QR and PR.10, Find a relation between x and y such that(3, 6) and (-3,4) |
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| 46. |
9. If Q0, 1) is equidistant from PS,-3) and Rx. 6), find the values of x. Also find thedistances QR and PR |
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| 47. |
If Qc0, I) is equidistant from P(5, -3) and Rg, 6), find the values of x. Also finatdistances QR and PR. |
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| 48. |
9. IfQl0. 1) is equidistant from P(5,-3) and R(x, 6), find the values ofェAlso find thedistances QR and PR |
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| 49. |
Amit spends 20% of his salary on house rent, 25% on the education of hischildren and 35% on food items and others. Find his salary, if he saves3600 per month. |
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Answer» Salary spent by amit=20%+25%+35% =80% Salary saved by amit =3600 Rs =80/100×3600 =80×36 =2880 Rs Salary earned by amit=2880+3600 =6480 Rs So, Amit earns Rs 6480 per month. |
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| 50. |
1629. If Q0, I) is equidistant from P(5, -3) and R(r, 6), find the values of x. Alsodistances QR and PR |
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