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.
| 77351. |
If A=\left[ \begin{array}{rrr}{1} & {2} & {2} \\ {2} & {1} & {-2} \\ {a} & {2} & {b}\end{array}\right] is a matrix satisfyingthe equation AA^T=91, where l is 3x3identity matrix, then the ordered pair(a, b) is equal tob) is equal to |
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Answer» A= 1 2 2 A^T=1 2 a 2 1 -2 2 1 2 a 2 b 2 -2 bA*A^T=1+4+4 2+2-4 a+4+2b =9 0 0 2+2-4 4+1+4 2a+2-2b 0 9 0 a+4+2b 2a+2-2b a^2+4+b^2 0 0 9a+2b+4=02a-2b+2=0a+2b+4+2a-2b+2=03a+6=0so a=-2-2+2b+4=02b=-2b=-1 |
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| 77352. |
(Ii) If in a stick of chalk, carbon is 3g, what is the weight oft he chalk stick? |
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| 77353. |
5. Use Euclid's division lemma to show that the cube of any positive integer is oft9m, 9m + 1 or 9m +8. |
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Answer» Let a be any positive integer and b = 3a = 3q + r, where q ≥ 0 and 0 ≤ r < 3Therefore, every number can be represented as these three forms. There are three cases. Case 1: When a = 3q,Where m is an integer such that m = (3q)3 = 27q39(3q3) = 9m Case 2: When a = 3q + 1,a3= (3q +1)3a3= 27q3+ 27q2+ 9q + 1a3= 9(3q3+ 3q2+ q) + 1a3= 9m + 1Where m is an integer such that m = (3q3+ 3q2+ q) Case 3: When a = 3q + 2,a3= (3q +2)3a3= 27q3+ 54q2+ 36q + 8a3= 9(3q3+ 6q2+ 4q) + 8a3= 9m + 8 Where m is an integer such that m = (3q3+ 6q2+ 4q)Therefore, the cube of any positive integer is of the form 9m, 9m + 1, or 9m + 8. |
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| 77354. |
the reddish colour of sun |
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Answer» During sunrise and sunset, the rays have to travel a larger part of the atmosphere because they are very close to thehorizon. Therefore,lightother than red is mostly scattered away. Most of thered light, which is the least scattered, enters oureyes. Hence, the sun and the sky appear red |
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| 77355. |
By selling a pen for Rs 165, Mukti gains 10%. If she had sold it for157.50, what percentage wouldshe have lost or gained? |
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| 77356. |
16.A sum of Rs 700 is to be used to give seven cash prizes to students of a school for theiroverall academic performance. If each prize is Rs 20 less than its preceding prize, find thevalue of each of the prizes |
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| 77357. |
45. A sum of 700 is to be used to give seven cash prizes to students of aschool for their overall academic performance. If each prize is t 20 lessthan its preceding prize, find the value of each prize |
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Answer» Thanks sir |
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| 77358. |
Nessel in -tbhe shape o Cuboid t 30cm!ndC wide. klhat Should be its heigh |
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Answer» 4.5 litres= 4500 cm (all units must be same)4500= 30X25X (Height) this is the formula for a cuboidMake height the subject of the formula so:4500/30x25=6 |
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| 77359. |
IfA is a square matrix satisfying A I, then what is th |
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| 77360. |
0. If A is a square matrix then A - A will be a ....... |
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Answer» is also a square matrix A-A' is also A square matrix |
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| 77361. |
19637. यदि हो तो x का मान बताओ-16x(A)560 (B)28(C)24(D) इनमें से कोई नहीं |
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Answer» from cross multiplicationx^2=16×196x=√16×196x=4×14=56 56 is the correct answer of the given question 56 is the right answer x/16 = 196/xx^2 = 16 × 196x = 4 × 14x = 56 is the answer of the given question x=√196×16 x=14×4x=56Answer is 56 ×=4×14=56 is a rahit an. |
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| 77362. |
Three-fourth oft is 15. |
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Answer» 3/4*t=15t=15*4/3t=20 3÷4 ×t=15 .=3t÷4=15=3t=15×4=3t=60=t=60÷3=20 given,3/4*t= 15.t=15*4/3. (3*5= 15)t=5*4t=20 Three -fourth of t is 15= 20 plz answer this Jo Maine abhi post Kiya hai 3/4*t = 15so t = 15*4/3t = 20 answers is 3/( 4×3=12) (15-12=3 it's Wright answer three forth of t is 15.Answer👇3/4 t =15 3/4*t=15t=15*4/3t=20 3/4 ×T = 15T= 15×4/3T=5×4T=20Answer 3/4 of (t) is 153/4×t=15t=15×4/3t=5×4value of(t 3/4 of (t) is 153/4×t=15t=15×4/3t=5×4value of(t) is 20 . please answer my questions please friends my profile name is harshitha Poramathi niti ki answer 3/4×t=15t=15÷3/4t=15×4/ 3t=5×4t=20 3/4*t= 15 t=15*4/3 t= 20 t=20is the right answer of this question t=20 ie the correct answer 3/4 of t=15so, answer is =15👌 t=20 is the right answer of this question 3/4 of t is 15 then. 3/4*t=15= t=15*4/3=20 Ans 3/4xt=15 t=4/3x15t=60/3=20 t=20, 20,20,20,20,20, T=20 us answer of this Question 3:-4xt=15=3t:-4=15=3t=15x4=3t=60=t=60:-3=20 answer Answer is =(3/4+=14 3t/4=15 t=20 is the answer of the question three-fourth of t is 15= 20 3/4 of t = 153/4×t = 15t = 15 × 4/3 (cancel 3 and 15.)t = 20 ((15/4)*(3))=11.25 Ans three-fourths of t is 15=20 3/4*t=15t=15 *4/3 (3*5=15) t=5*4t=20 20 is the right answer = 20 answer na 3/4×t=153t=60t= 20it's very very short answer The answer is 3/4t=15t=15×4/3t=5×4t=20 3/4*t=15.t=15*4/3.t=5*4.t=20. t is equal to 20 of this question answer is 20 is right or wrong 20 is the answer of above question t*3/4=153t=15*4=60t=60/3=20 ✔✔ 20. . there is 3t/4=15 then t=15×4/3 that's t=5×4=20 3/4*t = 15 so t = 15*4/3t = 20 |
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| 77363. |
28. Manish lost Rs 28 by selling an article for rs 532, what is his loss%?C. 3270a. 2.590b. 5%29. Discount percent is calculated ond. 7.5%c. 5.5%oling nrice |
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Answer» Loss=28inrSP=532inrcp=(SP+LOSS)C.P=₹560Loss%=(loss/cp×100)=(28/560×100)%=5%loss |
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| 77364. |
Three people A, B and C are standing in a queue. There are 5 people between A and B and 8 peoplebetween B and C. If there be 3 people ahead of C and 21 people behind A, what could be the minimumnumber of people in the queue?(a) 18(b) 28(c) 40(d) 47 |
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Answer» real answer Kya ho ga 28 ya 40 |
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| 77365. |
the work by Jua16. A sum of Rs 700 is to be used to give seven cash prizes to students of a school for theiroverall academic performance. It each prize is Rs 20 less than its preceding prize, find thevalue of each of the prizes.students thought of planting trees in and around the school to reduce air |
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Answer» let the prices be x,x-20,x-40,x-60,x-80,x-100,x-120 sum is 700 7x-420=700 7x=1120 x=160 prices are 160,140,120,100,80,60,40 |
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| 77366. |
nearpointofhiseyeis(b) The person wants to read a book placed at 20cm, whereas30cm. Calculate the power of lens required. |
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| 77367. |
.4:-Define the rank of Matrix. Determine the Rank of the.0 1 -3Following Matrix: A=1 1 2 0 |
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Answer» The rank of a matrix is defined as (a) the maximum number of linearly independent column vectors in the matrix or (b) the maximum number of linearly independent row vectors in the matrix. |
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| 77368. |
4If A is a square matrix such that A2 A, then write the value of 7A- (I+ A)3, where I is aidentity matrix. |
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| 77369. |
Check whether (4,-2) is a solution of the equation 3x-4y=20. |
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Answer» 3×4-4×-2=2012+8=2020=20 is the correct answer of the given question x=4 and y=-23x-4y=203×4-{4×(-2)}=2012-(-8)=2012+8=2020=20.*. (4,-2) are the roots of given eqation 3x - 4y = 20; (4, -2) = 3(4)-4(-2)=20; = 12 + 8 = 20; =20 = 20 correct answer is 20 |
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| 77370. |
A hemispherical depression is cut out from one face of a cubical wooden block suchthat the diameter I of the hemisphere is equal to the edge of the cube. Determine thesurface area of the remaining solid |
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| 77371. |
33. In a triangle if each side of a triangle is halved, them what is the percontage diange in its(1) 75% increase(3) 25% increase(2) 75% decrease(4) 25% decrease |
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Answer» Area of triangle = A = square root of [s(s-a)(s-b)(s-c) where 2s =a+b+c. Each side is halved, s’ = s/2 (s’-a’) = (s-a)/2. (s’-b’) = (s-b)/2. (s’-c’) = (s-c)/2. New areaA’ = square root of [s(s-a)(s-b)(s-c) /16. = A/ 4. Change in area = 3/4 A = 75% decrease still more clear |
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| 77372. |
\left. \begin{array} { l } { \text { value of } \frac { 1 } { 2 + \sqrt { 7 } } + \frac { 1 } { \sqrt { 7 } + \sqrt { 10 } } + \ldots + \frac { 1 } { \sqrt { 28 } + \sqrt { 31 } } \text { is } } \\ { \frac { 4 - \sqrt { 28 } } { 3 } } \\ { \frac { \sqrt { 28 } - 4 } { 3 } } \end{array} \right. |
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| 77373. |
28 C _ { 2 n } = 28 C _ { 2 n - 4 } \text { then the value of } n ? |
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Answer» thank7 |
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| 77374. |
A hemispherical depression is cut out from one face of a cubical wooden block suchthat the diameter I of the hemisphere is equal to the edge of the cube. Determine thesurface area of the remaining solid. |
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Answer» thanks sir |
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| 77375. |
2-2-4Example 22 Express the matrix B1 34 as the sum of a symmetric anda1 -23skew symmetric matrix. |
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| 77376. |
10.Solve the equation3x -40x' +130.2-120x+27 = 0,given that the product of two of its roots is equal to the product of the other two. |
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Answer» Yes that answer is correct |
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| 77377. |
24*28= |
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| 77378. |
A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid. |
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Answer» hello Assert in the future of India and the cockroaches hello vai for my YouTube channel and the future of India branch no longer available because this was not a big fan in a big difference let side of cube =xSurface area of remaining solid = total surface area of cube-curved surface area of hemisphere=6x²-2πr²=6x²-2×22/7×x/2×x/2=6x²-11/7x²=x²(6-11/7)=x²(6-1.57)=5.43x² (approx.) no being hi JJ 😄😄😄😄😄 https://doubtnut.app.link/bsYl0bjVAX this link will lead to the video solution of this question |
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| 77379. |
5.A hemispherical depression is cut out from one face of a cubical wooden block suchthat the diameter / of the hemisphere is equal to the edge of the cube. Determine thesurface area of the remaining solid |
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| 77380. |
Que 1.10. A silica optical fiber with a core diameter large enoughto be considered by ray theory analysis has a core refractive indexof 1.5 and cladding refractive index of 1.47. Determine,i. Critical angle at core cladding interfacei. NA for the fiberiii. Acceptance angleUPTU 2014-15, Marks 05UPTU 2015-16, Marks 10 |
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| 77381. |
6. Swati is 3 years younger than her brother Ravi. Ifthe sum of their ages is 33 years, write an equationto find their ages. |
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Answer» Let S be Swati's age and R be Ravi's age. S = R - 3 . . . . . (1) S + R = 33 . . . . . (2)These are the equations.To solve itSubstitute (1) in (2) => R - 3 + R = 33 2R = 30 R = 15 S = 12Ravi's age is 15 yearsSwati's age is 12 years |
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| 77382. |
न7S 1el o4}i |i | . 1i )iil V) 1i -i1 |
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Answer» 4/5+(-2/5)= 4/5-2/5= 2/5 |
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| 77383. |
and4 m respectively. Finde lengul ur t18. The area of the 4 walls of a room is 77 m2. The length and breadth of the room are 7.5 mh of the r is twice its breadth andand 3.5 m respectively. Find the height of the room. |
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| 77384. |
f theseo4 For the matrix A,verify that (A A) is a symmetric matrix |
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| 77385. |
. Express cos x+ Cos 3z as the product o4 cusineHene Solve Coso + Cos 30 - 2co520O |
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Answer» page 1 Page 2 |
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| 77386. |
42.The area of a trapezium is 105 cm?and its height is 7 cm. If one of theparallel sides is longer than the otherby 6 cm, then the length of the longerside, in cm, is(1) 18(2) 16(3) 15(4) 12 |
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Answer» option 3 ) is the correct answer You need to remember this concept to solve the question:Area of trapezium = 1/2 X (Sum of Parallel sides) X Distance between them. Usingarea of trapezium= 1/2 × sum of parallelsides × heightgiven area of trap.= 105cmand height=7cmone side is loger 6 cm than otherlet the one side be xthen other be 6+xthen use formula 105=1/2(x+6+x)×7210/7=2x+630-6=2x24=2xx=12so first side is 12and other 12+6=18 cm 18 cm is the correct answer option 2 is the correct answer 18 is the correct answer 4) is the correct answer 18 is the correct answer the answer coùld be option 1 |
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| 77387. |
0.30) A mixture of paint is prepared by l purt of red pigments with parts of base.Find the part of base that need to be added for 4 parts of red pigem.part of red pigment requires 75 ml of base, how much red pigruent shouldWe mix with 1800 ml of base ? |
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Answer» 1 part of red pigment added with 8 parts of base. Then,With 4 part of red pigment require 8*4 = 32 parts of base. 8 parts of base = 75 ml Hence,1800 ml of base = 1800/75 = 24 parts Therefore, 1800 ml or 24 parts of base require = 24/8 = 3 parts of red pigment. |
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| 77388. |
9 16. The population of a city decreased from 25,000 28 24,30017. Harish bought a gas chullah for 900 and later sold it to Archana at a profit of 5%. Archana used it forperiod of two years and later sold it to Babita at a loss of 20%. For how much did Babita get it?Simple Interest |
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| 77389. |
Find the values of k for each of the following quadratic equátilóns, S IaL IICequal roots.2+30(ii), kr (x-2)+6-0r manen grove whose length is twice its breadth, |
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Answer» i) 2x² + kx + 3 = 0 When roots are equal then discrimanat is 0 D = b² - 4ac k² - 4 × 3 × 2 = 0 k² = 24 k = √24 = 2√6 or - 2√6 |
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| 77390. |
the size of a wooden block is 15 cm into 18 cm into 20 cm how many such boxes will be required to construct a solid wooden cube of mini size |
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| 77391. |
Browa Ale ABC with side BC=20m 10 -hg 1A-108 thamConstruct a tle whose side core yo tumnes the bones handlingside of the ABC |
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Answer» how can it make please send me a video please please kk after 10 minutes tomorrow my exam please how to upload the video send me your WhatsApp number I will upload the video |
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| 77392. |
6. The outer dimensions of a closed wooden box are10cm by 8cm.by 7cm. Thicknessuisetelevlevesser(4.05cm1cm. Find the total cost of required to make box if iem of wood cost Rs 2.Rs 640) |
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Answer» Given outer length = 10 cmOuter breadth = 8 cmOuter height = 7 cmOuter volume = length × breadth × height= 10 × 8 × 7 = 560 cm3Thickness of wooden box, w = 1 cmInner length =l– 2w = 10 – 2 = 8 cmInner breadth =b– 2w = 8 – 2 = 6 cmInner height =h– 2w = 7 – 2 = 5 cmOuter volume = 8 × 6 × 5 = 240 c m3Volume of wood used = outer volume – inner volume= 560 – 240 = 320 cm3Given cost of 1 cm3of wood = Rs 2Hence the total cost of wood required = Rs 2 × 32= Rs 640 |
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| 77393. |
Swati ate 1/2 of the candies she had and gave rest toJeny. Jeny kept 8 of the candies and gave rest of the10 candies to Sakshi. How many candies did Swati eat?A, 18B. 24C. 72D. 36 |
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Answer» Let swati had x candiesCandies swati ate = x/2 Candies swati gave to Jeny = x/2 Jeny kept candies = 8 Candies Jeny gave to swati = x/2 - 8 ATQ x/2 - 8 = 10 x/2 = 10+8 = 18 x = 18*2 = 36 Candies swati ate = x/2 = 36/2 = 18 |
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| 77394. |
e following frequency distribution table shows the number of mangotrees in a grove and their yield of mangoes, and also the cumulativefrequencies. Find the median of the data.ClassFrequency Cumulative frequency(No. of mangoes) (No. of trees)(less than)50-100100-150150-200200-250250-3003090801763153233250 |
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| 77395. |
and 4 m respectively. Find the length of the room.18. The area of the 4 walls of a room is 77 m2. The length and breadth of the room are 7.5thand 3.5 m respectively. Find the height of the room.If the length of the room is twice its breadth and |
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Answer» thank you shtfjueeri qfhieyitjiegkrh |
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| 77396. |
wy + w1z (1) |
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Answer» 21m² ÷ 7m 21m²-------- 7m 3m |
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| 77397. |
Wy o4, 14+ 65 |
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| 77398. |
10 cmI1. In the adjoining figureABCD is arectangle. Find the area of the shadedregion.12 cm7 cm18 cm |
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Answer» If you like the solution, Please give it a 👍 where is the solution which step you didn't understand? |
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| 77399. |
12.) What will be the perimeter of a triangle whose sides are 3cm, 5 cm and 10 cm?(A) 12 cm(C) 656 cm(B) 18 cm(D) of these |
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| 77400. |
A soft drink is available in two packs- (i) a tin can with a rectangular base oflength5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circubase of diameter 7 cm and height 10 cm. Which coptainer has greater capacity and byy and byhow much? |
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