InterviewSolution
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.
| 75851. |
5. A ladder is placed along a wall of house such that its upper end it touching the top of thewall. The foot of the ladder is 2m away from the wall and the ladder in making an angle o60 with the level of the ground. Determine the height of the wall, |
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| 75852. |
4. What will happen to the volume of a cube, if eaciĂl or lA swimming pool is 200 m long and 120 m wide. 36 litres of water is pumped into it. Find the rise in levelof waterlume differ from that of a cube |
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Answer» If you find this solution helpful, Please like it. |
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| 75853. |
11. A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side6 cm. What is the area of the left over aluminium sheet? (Take π-314)he |
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| 75854. |
xpress the first quantity as a percentage of the second:20()z0ml ors inesdcm fm2 of(ivr3 of 2(ii) 200 mL of 5 litres (ii) 48 cm of 1m) If 14%, ofa certain number is 63 find the number |
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Answer» (iv) 2/3 x 1/2 = 2/6 for percentage = 2/6x100 =100/3% = 33.33% it is a wrong answer |
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| 75855. |
MATHE MATICS11. A circle of radius 2cm is cut out from a square piece of an aluminium sheet o side6 cm. What is the area of the left over aluminium sheet? (Take n3.14) |
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| 75856. |
\left. \begin array l | l | l | \hline 5 & 3 & 7 \\ \hline 3 & 9 & 8 \\ \hline 6 & 24 & ? \\ \hline \end array \right. |
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Answer» please post full pic of your questions answer answer is 30 thanks two questions |
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| 75857. |
(A) 252How long will a train 100 m long running at the rate of 40 km/hr take to cross a telegraphicpole?(A) 6 seconds8.(B) 7 seconds(C) 8 seconds(D) 9 seconds |
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Answer» Time taken by the train to cross the telegraphic pole=length of the train /speed in ms⁻¹=100/(40×5/18)=9 secs Option D is correct. |
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| 75858. |
3. Reena climbs up 5 stairs every second and then climbs down 2 stairs over the next second. Howseconds will she take to climb 60 stairs ?h the integer Sadd-12 to it subtract 10 from the result Divide the result by +3 and |
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Answer» in two seconds he climbs 3 stair so in 40 sec he completed the stair |
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| 75859. |
Computers operate using the binary system; the word binary comes from the wordbi which means two. The binary system is based on two whole numbers, namely 0and 1. When we use the computer, we may type letters, words and special characters(like *, # and !); however the computer only understands binary numbers. Write thegreatest and the smallest 6 digit numbers using 0 and 1. |
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Answer» greatest number is obviously is100000 and the smallest is obviously is 000001 |
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| 75860. |
. A small manufacturer has employed 5 skilled men and 10 semiskilled menand makea an article in two qualities, a de luxe model and an ordinarymodel. The making of a de luxe model requires 2 hours' work by a skilledn and 2 hours' work by a semiskilled man. The ordinary modeluires 1 hour by a skilled man and 3 hours by a semiskilled man.By union rules, no man can work more than 8 hours per day, Themanufacturer gains t 15 on the de luxe model and 10 on the ordinarymodel. How many of each type should be made in order to maximize hitotal daily profit? Also, find the maximum daily profit. |
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| 75861. |
. A model of a ship is made to a scale of 1: 200(i) The length of the model is 4 m. Calculatethe length of the ship.(ii) The area of the deck of the ship is 160000 mFind the area of the deck of the model.(ii) The volume of the model is 200 litres.Calculate the volume of the ship in m |
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| 75862. |
50. If an A.P. consists of n terms with first term a and nth term l show that the sum of themthterm from the beginning and the mth term from the end is (a +1), |
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| 75863. |
. Rachel, an engineering student, was asked to make a model shaped like a cylinder withtwo cones attached at its two ends by using a thin aluminium sheet. The diameter of themodel is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volumeof air contained in the model that Rachel made. (Assume the outer and inner.dimensionsof the model to be nearly the same.) |
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| 75864. |
If vector 2i + Aj + 5k and-i + j + k are perpendicular, then find the value of λ? |
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| 75865. |
2. Rachel, an engineering student, was asked to make a model shaped like a cylinder withnw cones attached at its two ends by using a thin aluminium sheet. The diameter of themodel is 3 cm and its length is 12 cm. If each cone has a height of 2 cm. find the volumeaf air contained in the model that Rachel made. Assume the outer and inner dimensionsof the model to be nearly the same.) |
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Answer» Given,diameter=3cmradius=3/2 cmheight of the model=height of the two cones+ height of the cylinder12=2×2+h12-4=hh=8cmvolume=πr²h+2(1/3 πr²h)=22/7 ×3/2 ×3/2 ×8 +2(1/3 (22/7×3/2×3/2×2))=22×3×3×8/2×2×7 +2(1/3 (22×3×3×2/2×2×7))=56.57+2(1/3 × 14.14)=56.57+2(14.14/3)=56.57+2(4.71)=56.57+9.42=65.99m³air occupied=65.99m³ |
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| 75866. |
K. 4: If ā= 3î +- 2k and ī=i+aj - 3k areperpendicular vectors, then find 2. |
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| 75867. |
4. Two trains of equal lengths take 10 seconds and 15 sec-onds respectively to cross a telegraph post. If the lengthof each train be 120 metres, in what time (in seconds)tion?will they cross each other travelling in opposite direc-A. 12B. 14C. 16D. 20 |
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Answer» Crossing the light post means crossing the length of the train. So, the speed of the 1st train is=120/10=12m/s The speed of the 2nd train is=120/15=8m/s Crossing each other means covering the total distance of two trains i.e (120+120)=240m And as the trains are moving in opposite direction their net speed will be =(12+8)m/s=20m/s. So, the time needed to crosses each other is=240÷20= 12 s. |
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| 75868. |
Name the special type of prism? |
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Answer» Type of a Prism can b hexagonal prism, irregular prism, triangular prism or regular prism or square prism. |
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| 75869. |
examination will result in Hamid receiving 'B' in the course5) How many litres of water will have to be added to 1125 litres of the 45%solution of acid so that the resuling mixture will contain more than 25% but |
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| 75870. |
\begin{array} { l } { \text { Q4. A metallic solid cone is converted into a solid cylinder of equal radius. } } \\ { \text { If the height of the cylinder is } 5 \mathrm { cm } \text { . Find the height of the cone. } } \end{array}. |
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Answer» volume of cone = volume of cylinder1/3 pie r2h=pie r2h1/3h1=5h1=3x5h=15 cm |
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| 75871. |
Tf the mth tem of an Ap is13 |
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| 75872. |
30. A train 240m in length crosses a telegraph post in 16 secs. The speed of the train inKm/hr is? |
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| 75873. |
Pla ICULILI39. The area of a rectangle gets reduced by 8 mº, when its length is reduceuby 5 m and its breadth is increased by 3 m. If we increase the length by. Find the length3 m and breadth by 2 m, the area is increased by 74 mand the breadth of the rectangle.winnale cate reduced hy 67 square metres, when its |
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| 75874. |
he area of a reรงtangle gets reduced by 9 square uwnits, if its length is reduced byunits and breadth is increased by 3 units. If we increase the length by 3 units andthe breadth by.2 units, the area increases by 67 square units. Find the dimensionsof the rectangle |
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Answer» Let length of rectangle = x units And width of rectangle = y units Area of rectangle = length * width = x*y The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. So Decrease the length by 5 unit so new length = x - 5 Increase the width by 3 unit so new width = y + 3 New area is reduced by 9 units So new area= xy – 9 Plug the value in formula length * width = area we get (x- 5)(y + 3) = xy- 9 Xy+ 3x – 5y – 15= xy – 9 Subtract xy both side we get 3x - 5y= 6…(1) If we increase the length by 3units and the breadth by 2 units, the area increases by 67 square units. Increase the length by 3 unit so new length = x +3 Increase the width by 2 unit so new width = y + 2 New area is increasedby 67 units So new area= xy + 67 Plug the value in formula length * width = area we get (x+3)(y + 2) = xy+67 Xy+ 2x+3y+6= xy + 67 Subtract xy both side we get 2x+3y = 61…(2)*3 3x - 5y= 6…(1)*2 Cross multiply the coefficient of x we get 6x + 9 y = 183 6x -10y=12 Subtract now we get 19 y = 171 Y = 171/19 = 9 Plug this value of y in equation first we get 2x + 3* 9 = 61 2x= 61 – 27 2x = 34 X = 34/2 = 17 So length is 17 units and width is 9 units |
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| 75875. |
2. Give reasons for the followingA square can be thought of as a special rectangle.A rectangle can be thought of as a special parallelogramic) A square can be thought of as a special rhombus.A) Squares, rectangles, parallelograms are all quadrilaterals.Square is also a parallelogram. |
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| 75876. |
28. Inaprehocker laced at the staring point,which is 5 m from the Srst peand the other o are placed 3 m apart in a straight line. There are tem pestaioes in s |
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| 75877. |
The rationalizing factor of Pis* का परिमेय गुणक क्या होगा ।(A) ab /In the aivan |
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Answer» N√a/b the rationalizing factor is bI. e n√a/b*b/b = nb√a/b*b |
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| 75878. |
10. Find the rationalizing factor of the following:(1) V48(ii)32(2 marks each) |
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| 75879. |
a + b + c bracket square is equal to? |
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Answer» thanks bro |
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| 75880. |
1.ifThe area ofa rectangle gets reduced by 9 unitsits length is reduced by 5 units and breadth isincreased by 3 units. If we increases the length by3 units and breadth by 2 units, the area increasesby 67 units. Find the length and breadth of therectangle. |
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| 75881. |
The data, which is expressed numerically, possesses which of the followingcharacteristic?a. Variableb. AttributeC. Both (a) and (b)d. |
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Answer» the correct option is (a) variables |
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| 75882. |
1.The data, which is expressed non-numerically, possesses which of the followingcharacteristic?a. Variableb. Attributec. Both (a) and (b)d. |
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Answer» Attribute.option b is the correct answer |
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| 75883. |
Find the rationalizing factor of: |
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Answer» no answer is different oh... ye rf nahi hai answer is approximately 5.6 you have to find rationalizing factor not value |
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| 75884. |
In factor tree find x. |
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Answer» here the value of x is 150 x =2*3*5*5=150 |
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| 75885. |
simplify the given Express in bracket 5 + root 2 bracket close second bracket start 2 + root 5 bracket close |
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| 75886. |
is -2.A line segment is of length 10 units. If its one end is (Then its abscissa is1.1, 4) and the ordinate of the other end |
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| 75887. |
[In a school there are 20 teachers who teach mathematics or physics. Ofthese, 12 tcach mathematics and 4 teach physics and mathematics. Howmany teach physics ?]INCERT] |
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| 75888. |
[In a school there are 20 teachers who teach mathematics or physics. Othese, 12 tcach mathematics and 4 teach physics and mathematies. Hoymany teach physics?]INCERT |
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| 75889. |
In a school there are 20 teachers who teach Mathematics or Physics. Of these, 12 teach Mathematics and4 teach both Physics and Mathematics. How many teach Physics ? |
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| 75890. |
There are 8 teachers in a school. When a 35 year old teacherwas transferred and another teacher joined, the average agews increased by 2 years. How old is the new teacher? |
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Answer» let n be the total age of all the teachersthen avg. age=n/8when 35 year old left another joined (let his age be x)then avg. age=(n-35+x)/8............ (1)also acc. to question avg. age=n/8 +2........... (2)equating both the eq.swe getx=51so if the age of teacher who joined is 51 years then avg. age will increase by 2 |
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| 75891. |
1 a and b are two positive integers such that the least primefactor of Îą is 3 and the least prime factor of bis 5. Thennd th lnoth of its shadovwcalculate the least prime factor of (a +b12 |
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Answer» Given :, a is a positive integer and 3 is the least prime factor of a. b is a positive integer and 5 is the least prime factor of b.Since least prime factor of a is 3, it means that a is an odd number.So, if a is even 2 is the least prime factor of a.Similarly, b is also an odd number.Now, it is known that sum of two odd numbers is an even number.Hence, a + b will be an even number.So, the least prime factor of a + b is 2 |
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| 75892. |
Find the rationalization factor 2+ \root 3Find the rationalization factor of \root 5 |
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Answer» 1.(2+√3)(2-√3)=2^2-√3^2=4-3=1 which is a rational no .hence rationalizing factor =2-√3 2.√5×√5=5 which is a rational no .hence rationalizing factor =√5 |
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| 75893. |
21.34EXAMPLE 56 A straight lineangle of 60° to the line 13x + y = 1. If Larsaris, then the equation of Lis(2) 3x+y+2-315 = 0 (6) y - V3 x + 2 t.(c) By – +3+213 = 0straight line L through the point (3,-2) is inclinedne 13x+y = 1. If L also intersects the(6) y - V3 x + 2 + 3/3 = 0(d) v3y + x-3+2/3 = 0 |
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Answer» the correct answer is C |
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| 75894. |
17 Given that sin (A + B) = sin A cos B + cos A sin B, find the values of sin 75° and sin 90° by taking!suitable values of A and B.[HL] |
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| 75895. |
The student-teacher ratio in a school is 45 : 2. If there are 4050 students in the school,how many teachers must be there? |
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Answer» Divid 84 chocolates between two children in the ratio 7:5 |
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| 75896. |
987. The ratio of the number of male and female teachers ina school is 2:5. Ifthere are 35 teachers, find the number of femaleteachers8. On a certain day, the ratio of the number of boys absent to those present ina class was found to be 2 : 17. If there were 34 boys present in the classhow many were absent? |
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Answer» 7) male to female 2:5 total 35 so female=5/7*35=258) absent to present 2:17present are 34 so absent are=2×34/17=4 describe clearly |
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| 75897. |
A straight line has the equation x -2y +4 0. What is its gradient ? y-intercept ? x-intercept? What angledoes the line make with x +3y 0? |
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| 75898. |
during. Threeyears ago, the population of a town was 50000. If the annual increaseyears be at the rate of 5%, 4% and 3% respectively, what is its presentthree successivepopulation? |
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| 75899. |
8, A merchant allows 25% discount on the markedprice of the cycles and still makes a profit of 20%.If he gains 360 over the sale of one cycle, findthe marked price of the cycle. |
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| 75900. |
Se8. A merchant allows 25% discount on the markedprice of the cycles and still makes a profit of 20%.If he gains 360 over the sale of one cycle, findthe marked price of the cycle, |
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