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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 74851. |
Find the slope and y-intercept of the line y3. |
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Answer» Compare with y = mx + c equation Given : y = -2x + 3 Slope m = -2 y - intercept = 3 |
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| 74852. |
Eqn of line whose y intercept is 3 and slope is 2 |
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Answer» y=mx+cm= slopec=intercepty=2x+3 thanks |
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| 74853. |
the perfect square so obtained25/The perimeter of a triangle is 6p-4p+9 and two of its sides are p-2p+1 and 3p'-Sp+3,Find the third side of the triangle. |
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| 74854. |
LTnOIEDUURS Ur thè same price, how much does he9.52 packets, containing 12 pencils each, cost Rs. 499.20. Find the cost of 75 packets containing 10 pencils each. |
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Answer» 52 packets with 12 pencils are of 499.20 Rs. so 52×12 = 624 pencils are of 499.20 Rs. 75 packets of 10 pencils so total 75×10 = 750 pencils cost = (750×499.20)/624 = 600 Rs. If you find this answer helpful then like it. |
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| 74855. |
9. The cost of 1 dozen pens is Rs 240 and the cost of20 notebooks is Rs 520. Find the ratio of the priceof a pen to a notebook. |
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Answer» cost of 12 pen is Rs 240cost of 20 notebooks is Rs 520.so , cost of 1 pen = 240÷12 = 20 cost of 1 notebook = 520÷20 = 26 therefore ratio of pen to notebook is 20:26= 10:13 ans. |
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| 74856. |
L) The cost of 1 kg rice is Rs 45.00.What will be the cost of 9 kg rice?2 |
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Answer» 1 kg = Rs: 45 9 kg = Rs: 45 x 9 = 405 |
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| 74857. |
3.Ritesh bought 2 kg less onions in55 due to an increase in price of onions by 12% . What was theincreased price of onions per kg? Also find the original price of onions. |
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Answer» Let the original weight he bought be x kgPrice of one kg of onion = 55 / xNew weight = (x - 2) kgNew price of one kg of onion = 55 / (x-2)It is given that price increased by 12% This implies that new price of one kg of onion = 112 / 100 of original price of one kg of onion55 / (x-2) = 112 /100 × 55/x=> 55 / (x-2) = 6160 / 100x=> 55 × 100x = 6160 (x-2)=> 5500x = 6160x - 12320=> 5500x - 6160x = -12320=> 660x = 12320=> x = 12320 / 660=> x = 18.66 |
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| 74858. |
3x=7y+10=0 ;y-2x=3 |
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| 74859. |
0. An article is sold at a loss of10%. Had it been sold for Rs.9 more, there would have beena gain of12% on it. The cost |
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| 74860. |
Find the equation of the line passing through the point of intersection of the lines4x + 7y-3-0 and 2-3y + i = 0 that has equal intercepts on the axes. |
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| 74861. |
Find the equation of the line passing through the point of intersection of the lines4x +7y-3-0 and 2x 3y 10 that has equal intercepts on the |
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| 74862. |
(c) 4x+ 7y+3-. The x coordinate of the incentre of the triangle that hasthe coordinates of mid- points of its sides as (0, 1), (1, 1)and (1,0) is(2013 Main) |
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| 74863. |
() Find the equation of a line that has a-intercept 3and perpendicular to the line x - 7y +5 0. |
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| 74864. |
1-αβIf α and β are different complex numbers with |β|-1, then find |
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Answer» thanks |
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| 74865. |
63. Draw the graph of:or + 5y = 37, 4x + 7y = 21 and x - y + 3 = 0.From the graph read the vertices of triangle obtained.on bu |
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| 74866. |
If α and β are different complex numbers with | β-1 , then find | 1- |
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| 74867. |
(a) Gauri bought 2 kg of tomatoes to make soup. She used0.1.35 kg. How much was left? |
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Answer» She used 1.35 kg of 2 kg. So tomatoes left = (2-1.35) kg =0.65 kg |
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| 74868. |
Exercise 22.61. A vendor bought 60 kg 14 g onions, 18 kg 20 g tomatoes and 10kg 20g capsicums. Whatis the total weight of the vegetables bought by him? |
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Answer» 60kg14g = 60.014kg 18kg20g = 18.020kg 10kg20g = 10.020 kg total weight = 60.014+18.020+10.020 = 88.054kg = 88kg54g |
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| 74869. |
the price per kg of tomatoes in rs 7.20 and 3 kg of potaotos cost rs 9.compare their price |
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Answer» by comparing we get,the price of tomatoes 🍅 is 4.20 more than the price of potatoes 🍠. |
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| 74870. |
9. Amrish bought 4 sweaters at 250 each and sold themat ? 275 each. What was his profit or loss per cent?is profit, |
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Answer» profit =sp-cp=275-250=25profit %=25/250×100 =10% |
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| 74871. |
2. Find the equations of circles passing through (1,-1), touching the lines 4x+3y + 5 =0a3x - 4y - 10 =0. |
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Answer» 4x + 3y +5=0; 3x-4y-10=0 3(4x+3y+5)= 12x+9y + 15=0, 4(3x-4y-10)=12x-16y-40=0/ 25y=55; y=55/25=11/5; 4x+3(11/5)+5=4x+33/5+5= 4x=-33/5-5=33-25/5=8/5; 4x=8/5; x=8×4/5=32/5 |
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| 74872. |
7. For what value of m, the lines 4x +7y -9 0, 5x+my 15 0 and 9x-y 6 are concurrent?2 |
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| 74873. |
Find the equation of the line passing through the point of intersection of the lines4x +7y 3 0 and 2x 3y1 that has equal intercepts on the |
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| 74874. |
rowing a boat away from a lighthouse 150 m high takes 2 minutes003change angle of elevation of the top of lighthouse from 45° to 30°. FindA mansurmounted bygle of elevation ofe flagstaff is do1.7321the speed of the boat. IUse v3 |
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Answer» Let the hieght of lighthouse be ydistance of boat initially = 150mdistance of boat from one point to another = xthus According to question tan 60 = y / 150thus y = 150 root 3 tan 45 = y / x+1501 = y / x + 150Thus y = x + 150 150 root 3 = x + 150x = 150 (root3 - 1) thus in 2 min speed will beu = x/t = 75 (root3 -1) |
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| 74875. |
उदाहरण 7, दी गई श्रृंखला में कौन-सा एक पद गलत है?| [UPPSC 2016]| 3, 7, 17, 41, 85, 179(a) 17(b) 85(c) 179| हल (d) दी गई श्रृंखला का क्रम निम्न प्रकार हैं।(d) 413717[41]85179X2+12+3 X2+5 X2+7x219अतः श्रृंखला में 41 के स्थान पर 39 आएगा। |
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Answer» The answer of these question already solved my answer is d. the right answer is39 at the place of 41 my answer is d. the right answer is39 at the place of 41 41.................. |
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| 74876. |
ELI: If z=1+ 31, find the moduliamplitude of the complex number. |
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Answer» z=1+3i Modulus=√((1)²+(3)²)=√10 Amplitude=Tan-¹(y/x)=tan-¹(3) |
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| 74877. |
2. Use the sign >, < or = in the box to make th(i) (-11) + (-7) D (-11) - (-7)(ii) 23 – 41 + 11 D 23 - 41 - 11(iii) 40 - (-39) + (-5) 40 + (-39) - (-5)(iv) (-3) + 13 – (15) D 25 - (-2) + (-33). |
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Answer» (1)...<(2)...>(3)...>(4)...> |
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| 74878. |
Find the modulus and the arguments of each of the complex numbersz=-1 -i√3 , z=-√3 +1 |
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| 74879. |
5. Puneeta bought 4 kg tomatoes.She used 24 kg of them. Howmuch tomatoes were left? |
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Answer» total 4 kg tomatoes2 1/4=2.25 kg used so total 4-2.25=1.75 kg tomatoes are left |
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| 74880. |
The population of town is 600000 if birth rate 7.5% p.a and death rate is 4.5% p.a find the population of the town after one and a half year |
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Answer» The birth rate is 7.5% hence, the number of people birth in year =7.5/100×600000=45000so, in one and half year after = 45000+22500=67500similarly, the number of people dead one year =4.5/100×60000=27000so, in one and half year =27000+1350067=40500the number of population if town=600000+(67500-40500)=600000+27000=627000.hence, the population of town after one and half year is 672700 |
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| 74881. |
Amrish bought 4 sweaters at 250 each and sold themat ? 275 each. What was his profit or loss per cent? |
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| 74882. |
1.The LCM of two numbers is 760 and their product is 6080. Find their HCF |
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| 74883. |
2x+y=0 is the equation of a diameter of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0. the centre and the radius of the circle are |
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Answer» Refrain from commenting in an informal manner as this is an educational community, thank you. |
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| 74884. |
7-Solve z + 2 =where z is a complex number.4-3i |
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| 74885. |
7.Represent the complex number z-1+i/3 in the polar form. |
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Answer» modulus is =√1²+(√3)² = √4 = 2 and agrument is ∅ = tan-¹(√3) = 60° so, in polar form z = 2cos(60) +2isin(60°) |
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| 74886. |
(6) Find the real and imaginary of parts of the complex number (3-41)(5 + 7) |
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Answer» 15+21i-20i+28=43+ihence real part is 43 and imaginary is 1 |
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| 74887. |
By selling a watch for Rs 720, Ravi loses 10%. At what price shouldhe sell it, in order to gain 15%? |
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| 74888. |
ulation of a city is theely, calculate the population of the city after 2125000. If the annual birth rate and death rate are 5.5% andyears |
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| 74889. |
. What is the total cost of both th16. Rohit bought a pencil forUNand an eraser for 210ser for2Whatarticles?m of cloth for her Pyjamas. How mur17. Sohini bought 4m of cloth for |
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Answer» please like my answer |
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| 74890. |
71which implies r: TExerExpress each of the following angles in radian mea(i) 30° (ii) 135° (İİİ)-205° (iv) 150° (v) 33 |
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Answer» 30 *π/180135*π/180-205*π/180150*π/180 π radian is = 180° => 30° = 30π/180 = π/6 similarly,=> 135° = 3π/4 => -205° = -41π/36=> 150° = 5π/6=> 330° = 11π/6 tq |
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| 74891. |
Find S.P. when :la) C.P. = 9600 and Gain% =15%1b) C.P. =3 760 and Loss% = 25%co |
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Answer» CP is equals to 9600game is equals to 15 by 3 percentagegame is equals to 50 |
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| 74892. |
) Find the square root of the complex number 7+24OR |
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Answer» thanks |
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| 74893. |
Represent the following complex number in polar form1+2i1-3i |
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| 74894. |
Given our data, when the birth rate becomes we would project that the averagefamily income is zero. Is this realistic? Chose the best answer.1; No, we would expect the average family income to be higher than any country in our table.O 0; Yes, this is realistic. If no one is having children that the family income would be zero.5.8; No, we would still expect some members of the family to be producing income.5.8; Yes, it would be impossible for parents to work. |
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Answer» option D is a correct answer Birth rate has linear connection with income so yes option d is the correct answer to this question. |
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| 74895. |
For an advertisement purposesector of angle 70° to a distance of 10 km. Find the area of the city over which the light is spread., a mall in the city is spreading a white light in the night time over a |
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Answer» Area covered = A*pi*r^2/360A = 70r = 10 kmArea covered = 70*22*10*10/7*360Area covered = 61.1111 km^2 |
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| 74896. |
Q3.A man bought a second-hand car for Rs 60000 and spent 10% of the cost of the car tochange its tyres. At what price should he sell the car to gain 15%. |
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Answer» C.P of the car = 60000+6000= 66000Profit℅= 15℅Profit = 15/100X 66000= 9900S.P. of the car should be 66000+9900= 75900 |
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| 74897. |
9. The line segment joining the points A(- 1, 8) and B gets bisected by origin. Find the coordinates ofthe point B.10. For an advertisement purpose, a mall in the city is spreading a white light in the night time over asector of angle 70° to a distance of 10 km. Find the area of the city over which the light is spread.horin ith Monday. Find the probability that: |
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| 74898. |
Define a complex number. Give an example. |
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Answer» A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x² = −1. Because no real number satisfies this equation, i is called an imaginary number.Example - 5i ,6iwhere i= √-1 HIT THE LIKE BUTTON |
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| 74899. |
Proved that2 \sin ^{2} \frac{\pi}{6}+\csc \frac{7 \pi}{6} \cos ^{2} \frac{\pi}{3}=0 |
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| 74900. |
L Stells of ouni cutom arell, then uwhat would be the totalnumber of electrons in the catom?LDOUL |
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Answer» k=2,l=8ans is 10 |
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