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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.
| 78851. |
The radii of circular ends of a bucket of height 15 cm are 14 cm and 'rcm (r <14). Ifthe volume of bucket is 5390 cr'. Then find the value of r.20s |
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| 78852. |
The adjacent sides of a parallelogram are 15 cm and 8 cm. If the distance between thelonger sides is 4 cm, find the distance between the shorter sides. |
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| 78853. |
. A manufacturer produces nuts and bolts for industrial machinery. It takes 1hour of work on machine A and 3 hours on machine B to produce a packet ofnuts while it takes 3 hours on machine A and 1 hour on machine B toprođuce a packet of bolts He eams a profit of t 1750 per packet on nuts andper packet on bolts. How many packets of each should be produced eachday so as to maximize his profit if he operates his machines for at the most 12ICESE 2009C, 12hours a day? Also find the maximum profit. |
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| 78854. |
1. Find the dislalite DTt/ Find the equation of the plane which passes through the point (3,4,-1) and is parallel to thelane 2x - 3y +5z +7 0. Also, find the distance between the two planes.an |
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| 78855. |
9. Find the coordinates of the point equidistant from the threegiven points A(5,1) B(-3,-1) C(7,-1) |
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| 78856. |
Find the mean and mode of 14,25, 14,28,18,17, 18, 14, 23, 22, 14, 18 |
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Answer» thank you |
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| 78857. |
ui) Thsiny=tan2, then prove that : |
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Answer» but it is opposite to the question |
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| 78858. |
RE AREAS AND VOLUMES213EXERCISE 13.1L, A plastic box 1 ,5 m long, l 25 m wide and 65 cm deep İslohe made Jianenod at Jhetop. Ignoring the thickness of the plastic sheet, determine:(i) The area of the sheet required for making the box.) The cost of sheet for it, if a sheet measuring Im costs Rs 20. |
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| 78859. |
SOLVEDEXAMPLESe DeEx. I. Find four consecutive terms in an A. P, such that the sum of the middleems is 18 and product of the two end terms is 45.two |
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| 78860. |
Shous that the Bequance Jang datinad by an3+CtoPnot ol |
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| 78861. |
of the point of intersection of the lines 2x-3y +5 0 and 3x+4y-0ion the line 5-2y=0is13013(A) İBR(C) 130(B)(D) of theseA) 17/297V297 |
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Answer» which formula is used in last step |
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| 78862. |
pairs of adjacent Sidesui14. Show that the quadrilateral formed by joining the midpoints of thepairs of adjacent sides of a square is a square. |
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| 78863. |
69.The distance between the parallel planes 4x-2y+4z+9 0 and8x-4y +8z+21 0isIS42 (d)4 |
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Answer» d= (21/2 - 9)/√(4^2 + 2^2 +4^2) = (3/2)/√(16+4+16) = (3/2)/√36 =3/12 =1/4 |
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| 78864. |
38. A point equidistant from the lines 4x + 3y+ 10 0, 5x 12y + 26 s7x +24y-50 0isand39. A line passes through (2, 2) and is pernendicular to th |
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| 78865. |
A machine takes 12 minutes to fill 200 bottles ofcoca cola. At this rate. How many minutes it willtake to fill 500 bottles of coca cola.11. |
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Answer» 500/200=x/12500(12)=200x6000=200xx=3030 minutes. |
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| 78866. |
number5) Check whether 6" can end with the digit 0 for any natural ฮ.. 6. Explain why 7 * 11 13+ 13 and7 6 5x4 3 2 *1 +5 are composite numbershere is a cirealar path around a jponts field Soni takes Is minutes to drive one rourne i |
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Answer» 1st case7*11*13+13 = 13(7*11+1) = 13*78 = 13*2*3*13Since it has more than two prime factors, it is a composite number. Similarly, 2nd case7*6*5*4*3*2*1+5 = 5(7*6*4*3*2*1+1) = 5*1009Since it has more than two prime factors, it is a composite number. |
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| 78867. |
etic progression. if the common4 and the 10th term 8, theIn an arithmeticfirst term of the progression wi(i) 一40(iii) 28(b)(ii) 20(iv) 36 |
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Answer» Solution:(iii) 28 Explanation:Comman difference = -4nth term of the A. Pan = a + (n - 1)d10th term = -8=> a + 9d = - 8=> a - 36 = - 8=> a = 36 - 8 = 28 First term is 28 |
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| 78868. |
Secondary School Mathematics for Class 10Ravi and Sikha drive around a circular sports field. Ravi takes16 minutes to take one round, while Sikha completes the round in20 minutes. If both start at the same point, at the same time andgo in the same direction, after how much time will they meet at thestarting point? |
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| 78869. |
warnematics IOI UI(iii) 11 + 3x = 172. Write a statement for each of the equations, given below(i) x - 7 = 14(ii) 2y = 18(iv) 2x - 3 = 13(v) 12y - 30 = 6(vi) 2 = 8 |
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Answer» 1) X=212) y=163) X=24) X=85) y=3is the correct answer x=21y=9x=2x=5y=3z=12 |
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| 78870. |
7) The sum of four consecutive terms which are inanetic progression is 32 and the ratio of the product ofhe first and the last term to the product of two middlearithmterms is 7:15. Find the number. |
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| 78871. |
..The length of the diagonal of the cube=/3 x length UI dApplication : 14 The dimensions of a cuboid are 12 cm., 6 cm. and 3 con respectively. Letcalculate the length of each edycofa cube whose volume is equal to that cuboid.Tho voluma nf the cuboid ir-(12x6x3 =(6x2x6x3.c = 6 c.c |
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| 78872. |
A plastic box 1top. Ignoring thetic box 1.5 mlong 1.25 m wide and 65 cm(deep is to be made. It is opened at theonoring the thickness of the plastic sheet, determine:The area of the sheet required for making the box.The cost of sheet for it, if a sheet measuring 1mcosts Rs 20. |
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Answer» Solution :i) The dimension of the box isLength l= 1.5 mBreadth b= 1.25 mHeight h= 65 cm = 0.65 m |
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| 78873. |
Pod Idioms related to "friendshipFor example Birds of a feather flock together.tract deals with the atmosphere of two homes. Collect the wordsted withneb) Library(c) Gardeninto indirect speech.you like your school?" asked the boy.go to school, I'm a business man- girl, I mean", answered Jo.unished her broom as she called out... "How do you do? Are youppened the window and smoked |
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Answer» the image below shows tall spaces The image below shows tall space. |
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| 78874. |
A^{T}=\left[ \begin{array}{cc}{0} & {-1} \\ {0} & {0} \\ {-1} & {0}\end{array}\right]=-\left[ \begin{array}{ccc}{0} & {1} & {-1} \\ {-1} & {0} & {1} \\ {1} & {-1}\end{array}\right]=-A |
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| 78875. |
A=\left[ \begin{array}{ccc}{0} & {0} & {-1} \\ {0} & {-1} & {0} \\ {-1} & {0} & {0}\end{array}\right]then show thatIA^2=I also find A^-1 |
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| 78876. |
6.Explain why 7 x 1 113 + 13 and 7 × 6 x 5 x 4 x 3 x2 x 1 + 5 are composite numbersd sort field Sonia takes 18 minutes to drive one round |
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Answer» By definition, A composite number is a positive integer that has a factor other than 1 and itself. Now considering your numbers, 7×11×13+13 may be written as,13*[(7*11)+1] i.e. 13 * (78). So other than 1 and the number itself, 13 and 78 are also the factors of the number. Further, 78= 39 x 2. So, 39 and 2 are also it's factors. So this number is definitely not prime. Hence its composite number. Similarly, 7×6×5×4×3×2×1+5 can be written as 5*[(7×6×4×3×2)+1], i.e. 5 * (1009). So, other than the number and 1, it have 5 and 1009 as it's factors too. So it is also a composite number. |
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| 78877. |
\left( \begin{array}{lll}{1} & {0} & {0} \\ {0} & {1} & {0} \\ {0} & {0} & {1}\end{array}\right) is(a) A null matrix(c) An identity matrix(b) A row matrix(d) A column matrix |
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Answer» c) An identity matrix as given matrix when multipled by any other matrix gives the same matrix (c) an identity matrix |
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| 78878. |
7. There is a circular path around a sports ground. Sonia takes 18 minutes to drive onround of the ground, whereas Ravi takes 12 minutes for the same purpose. Supposethey both start from same point and at the same time, and go in the same direction. Afterhow many time will they meet again at the starting point?1 Revisiting Irrational Numbers |
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| 78879. |
can end with he diert 0 lor any natulanlumbeExplain why 7x IIx 13+13 and 7 x 6x5x4x3x2x 1+5 are composite numbers.There is a circular nath around a sports field, Sonia takes 18 minutes to drive one roundCheck whether |
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Answer» A composite number is a positive integer that has a factor other than 1 and itself. Now considering your numbers, 7×11×13+13 may be written as, 13x{(7x11) + 1} i.e. 13x(78). So other than 1 and the number itself, 13 and 78 are also the factors of the number. Further, 78=39x2. So, 39 and 2 are also it's factors. So this number is definitely not prime. Hence its composite number. Similarly, 7×6×5×4×3×2×1+5 can be written as 5x{(7x6x4x3x2x1)+1}, i.e. 5x(1009). So, other than the number and 1, it have 5 and 1009 as it's factors too. So it is also a composite number. |
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| 78880. |
\begin{array}{l}{\cos \frac{\pi}{7}+\cos \frac{2 \pi}{7}+\cos \frac{3 \pi}{7}+\cos \frac{4 \pi}{7}+\cos \frac{5 \pi}{7}+\cos \frac{6 \pi}{7}=} \\ {\text { 1) } 0}\end{array} |
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| 78881. |
Explain whyITX1313 and 7x6x5x2 1 are composite numbersSonia takes 1 minutes to drive one round |
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| 78882. |
Prove that 3^{1 / 2} 3^{1 / 4} \cdot 3^{1 / 3} \cdot \cdots=3 |
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| 78883. |
\frac { 2 \cdot 3 ^ { n + 1 } + 7 \cdot 3 ^ { n - 1 } } { 3 ^ { n + 2 } - 2 ( \frac { 1 } { 3 } ) ^ { 1 - n } } |
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| 78884. |
: \frac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } = \sec \theta + \tan \theta = \frac { 1 + \sin \theta } { \cos \theta } 8. Prove that : |
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| 78885. |
UI ETIC14. Find the perimeter of a rectangular park of length 35m and breadth 16 m.till of the joumey is left. F: |
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Answer» Length of Reactangular Park l = 35 1/4 m = 141/4 mBreadth of Reactangular Park b= 16 3/4 m = 67/4 m Perimeter of Reactangular park= 2 (l + b) = 2(141/4 + 67/4)= 2(208/4)= 2*52= 104 m |
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| 78886. |
2. If a and b are distinct real numbers, show that the quadratic equation2(a2 + b2)x2 + 2 (a + b) x + 1 = 0 has no real roots.3 Show that th roots ot |
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| 78887. |
To warn ships for underwatet rocks, a lightbousespreads a red coloured light over a sector of angle80° to a distance of 165 km. Find the area of the seaover which the ships are warned(Use 3.14) |
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| 78888. |
7. Irene spreads a carpet of length 3 m andbreadth 2 m in her room. If the length of theroom is 4 m and breadth, 3 m, what area ofthe room is left uncarpeted!m = 10.00 |
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| 78889. |
\frac{7}{2} \div \frac{21}{10}-\frac{11}{13} \div \frac{55}{78}+\frac{17}{19} \times \frac{76}{85}=? |
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| 78890. |
Two equal sides of a triangle are each 4 m less than three times the third side. Find the dimensions of the triangle, ifits perimeter is 55 m. |
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| 78891. |
\frac{1}{1 \cdot 3 \cdot 5}+\frac{1}{3 \cdot 5 \cdot 7}+\frac{1}{5 \cdot 7 \cdot 9}+\dots--\infty |
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Answer» 1 2 iske baad kya Karna hai |
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| 78892. |
25 ^ { \circ } = x , \text { prove that } \frac { \operatorname { tan } 155 ^ { \circ } - \operatorname { tan } 115 ^ { \circ } } { 1 + \operatorname { tan } 155 ^ { \circ } \operatorname { tan } 115 ^ { \circ } } = \frac { 1 - x ^ { 2 } } { 2 x } |
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| 78893. |
7.There is a circular path around a sports field. Sonia takes 18 minutes to drive one roundof the field, while Ravi takes 12 minutes for the same. Suppose they both start at thesame point and at the same time, and go in the same direction. After how many minuteswill they meet again at the starting point? |
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| 78894. |
\cos \frac { 2 \pi } { 9 } \cdot \cos \frac { 2 \pi } { 9 } \cdot \cos \frac { \pi } { 3 } \cdot \cos \frac { 4 \pi } { 9 } = \frac { 1 } { 16 } |
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| 78895. |
^ { 9 } P _ { 5 } + 5 \cdot ^ { 9 } P _ { 4 } = ^ { 10 } P _ { r } , \text { find } r |
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| 78896. |
[ 2 \cdot 3 + 5 \cdot 3 ] \times [ 4 - [ - 9 ] |
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| 78897. |
\operatorname { cos } 2 \theta \cdot \operatorname { cos } \frac { \theta } { 2 } - \operatorname { cos } 3 \theta \cdot \operatorname { cos } \frac { 9 \theta } { 2 } = \operatorname { sin } 5 \theta \cdot \operatorname { sin } \frac { 5 \theta } { 2 } |
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Answer» multiply and divide L.H.S. by 2. u'll get 1/2[2cos2x.cosx/2 - 2cos3x.cos9x/2] Now , 2cosAcosB = cos(A+B) + cos(A-B). so, LHS= 1/2[cos5x/2 + cos3x/2 - [cos15x/2 + cos3x/2] =1/2[cos5x/2 - cos15x/2] by using cosC - cosD= 2.sin(C+D)/2.sin(D-C)/2 therefore, LHS= 1/2[2.sin20x/4.sin10x/4] =sin5x.sin5x/2= RHS. |
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| 78898. |
Find the sum and product of roots of the quadratic equationx^2-4√3 x + 9 = 0 |
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| 78899. |
the length UI U36. Find the roots of the quadratic equationx-1 x-3 10x-2 + x-4 = 3, xor later than the |
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Answer» thnx |
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| 78900. |
There are 29 birds are sitting on a tree.of them flew away. How many birds areleft on the tree? |
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Answer» Remaining will be 29-15= 14 birds |
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