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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.
| 78451. |
What are the direction cosines of a vector equiangular with co-ordinateaxes? |
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Answer» In analytic geometry, thedirection cosines(ordirectional cosines) of a vectorare thecosinesof the angles between thevectorand the threecoordinate axes. Equivalently, they are the contributions of each component of the basis to a unitvectorin thatdirection. The direction cosines of the line make an angleαwith each of the coordinate axes. ∴l= cosα,m= cosα,n= cosα l2+m2+n2=1 ⇒ cos2α +cos2α +cos2α = 1 ⇒ 3cos2α =1 ⇒cos2α=13 ⇒cosα=±13√ Thus, the direction cosines of the line, which is equally inclined to the coordinate axes, are ±13√,±13√,and±13√ |
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| 78452. |
roshan Travels 180 kilometre in 3 hours and 20 minutes buy used cars calculate the speed of his car in metre per second |
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| 78453. |
Sunidha walls kilometre each day. Ramesh walks kilometre each day. How many mwill Sunitha walk than Ramesh in 18 days? |
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Answer» we begin life as a total distance walked by samitha in 18 days =9 kmtotal distance walked by ramesh in 18 days=6kmSunita will walk 3km more in 18 days |
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| 78454. |
If $\Delta \mathrm{ABC} \sim \Delta \mathrm{QRP}, \frac{\operatorname{arc}(\Delta \mathrm{ABC})}{\operatorname{ar}(\Delta \mathrm{QRP})}=\frac{9}{4},$ and $\mathrm{BC}=15 \mathrm{cm},$ then find $\mathrm{PR}$ |
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| 78455. |
5. Find the cost of 3 metres of cloth at +63 per metre. |
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Answer» To find this multiply the cost by the amount of cloth63 3/4* 3 2/5=255/4*17/5=51*17/4=867/4 rupees |
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| 78456. |
ale uic ounal cfpound interest on- , n. 800 fr 3 years at 1 2 5 % per annum compounded annually.(a |
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| 78457. |
An umbrella is made by stitching 10 triangular pieces of cloth of two different colours(see Fig, 12.16), each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of cachcolour is required for the umbrella? |
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| 78458. |
An umbrella is made by stitching 10 triangular pieces of cloth of two different colours(see Fig. 12.16), each piece measuring 20 cm. 50 cm and 50 cm. How much cloth of eachcolour is required for the umbrella?6. |
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| 78459. |
ht blift lyLE blh the 14-penER ëĄ.ET |
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| 78460. |
HtyeaAiea it23at will be thenぐthen? |
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Answer» Let Rajat s age be x and her sister be ynow,according to the question,x+5 = y. ..............1 x+8/y+8=2/3................2 now 3x+ 24= 2y+163x-2y= -8 (main eq.) 3x-2y=-83x-3y=-15-. +. + Y = 7. ..........(ANS. 1) x+5=yx+5=7 X=2. ..........(ANS. 2) RAJAT IS 2 YEARS OLDANDHIS SISTER IS 7 YEARS OLD ....MY BOY |
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| 78461. |
Q. Write the direction cosines of the vector -2i+Ans.a_y4+1+25 |
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Answer» Dcs are l,m,n = -2/√30 , 1/√30 ,-5/√30 |
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| 78462. |
थ नए द्वी<म०22 5 Ale ’foynowu‘a\ (’K“-—sy? ४6ve (24V3) ond (2-V3) h\h; o\*»e? : |
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Answer» ncert ma h ya chapter 2 exercise 2.3 |
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| 78463. |
An umbrella is made by stitching 10 triangular pieces of cloth of two different colours(see Fig. 12.16), each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of eachcolour is required for the umbrella? |
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| 78464. |
Find the first team and to. Il tir l-16) and a (7) |
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Answer» t17=-36a+(n-1)d= -36a+16(-7)= -36a= 112-36= 76tn=a+(n-1)d = 112+(n-1)(-7) = 112-7n+7 =119-7n |
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| 78465. |
Refa HT (Position vector) |
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Answer» Position Vector A vector representing the straight line distance and the direction of any point or object with respect to the origin, is called position vector. |
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| 78466. |
The weights of 10 students (in kg) are40, 52, 34, 47, 31, 35, 48, 41, 44, 38.Find the median weight. |
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| 78467. |
where is the dirty blood in our body filtered? |
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Answer» the dirty blood in our body is filtered in kidneys kidney is the right answer |
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| 78468. |
tthe am ale12.the Lamgurat |
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| 78469. |
A rectangular floor of dimensions 8.4 mx5.4mis to be tiled with right-triangular marblepieces, with base 40 cm and height 30 cm.How many marble pieces will be required tocover the floor? |
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| 78470. |
ieft. Find the total distuliters of Ghee cost?5. The product of a fraction and the sum offraction.6. 1/5 liter of Ghee costs rupees 50. How much would 77. The price of 15 pens is Rs536.25. Find the price of one pen 35+8. The product of two rational numbers is -25/14. If one of the numbers is 3/7therIl nored into seven small containers. How much milkus How |
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Answer» (7) 35.75 is the cost of one pen 7- cost of pens =536.251pen 536.25 /15=35.75 |
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| 78471. |
17The weights (in Kg) of 15 students are: 31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36, 44, 45,42, 30. Find the median. If the weight 44 kg is replaced by 46 kg and 27 kg by 25 kg, find thenew median |
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Answer» very bad |
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| 78472. |
Ver man one crorer6. For making one uniform, 3 m 25 cm of cloth is needed. How much length of cloth will be required for 18such uniforms? |
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Answer» 58.5cm length of cloth will be required for 18 such uniform length of uniform= 3 m 25 cmwe know that,1 m = 100 cmso,3 m 25 cm=(3×100)cm + 25 cm=300cm + 25cm=325cm length of 18 such uniform =325 cm × 18 =5850 cmconvert into cm to m = 58m . 5cm |
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| 78473. |
6. For making one uniform, 3 m 25 cm of cloth is needed. How much length of cloth will be required for 18such uniforms? |
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Answer» 1m =100cm3m 25cm= 3×100+25 325cmlength of cloth will be required for 18 such uniforms.325×18=5850cmso 58m 50cm cloth required to make 18 uniforms |
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| 78474. |
61. The cost price ofa shirt rs 600 and the seller makes a profit of 15%. What is the S.Pr Ans ; |
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| 78475. |
0Whal ared the DaziLWhat is Xylem? Name the four clements of Xylem and write one function of each.Or |
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Answer» Ans :- Xylem is a type of tissue in vascular plants that transports water and some nutrients from the roots to the leaves. Xylem and phloem give vascular plants their classification; they are the vascular tissues that transport substances throughout the plant. Xylem is the plant tissue which transports food material or minerals fr9m root to tip of the plant in upward direction four elements are : tracheidsxylem vesselsxylem parenchymatracheae |
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| 78476. |
1. Suresh bought 28.5 kg ghee for Rs. 3992/50. Find the price of ghee per kg. |
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Answer» thank you |
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| 78477. |
I. The cost of 3 kg of ghee is96, find the cost of : (i) one kg ghee. (ii)kg ghee. |
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Answer» the cost of 3/5 kg of ghee = 96 rs so cost of 1 kg = 96/(3/5) = 160rs then cost of 5/8 kg = 5/8*160 = 100 rs. |
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| 78478. |
46. Weight of an empty tin is 500 gm. After pouring 3-5kg ghee in it, what will be the total weight of the tinnow?(A) 5 kg(C) 2 kg2(B) 4 kg(D) 10 kg |
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Answer» 500 gm=0.5 kg and the weight of ghee is 3.5 ,now the answer is 0.5+3.5=4 kg |
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| 78479. |
You bought a fountain pen for 14.75 from a shop. You gave the shopkeeper aă20.00 roHow much money would the shopkeeper return?1. |
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Answer» Amount the shopkeeper would return=₹20-₹14.75=₹5.25 |
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| 78480. |
ns Sourabh bought so.ml milk at la perㄧˊ--whe. He gave hundred rupee note te theshopkeeper what changave him backe did Athe shopkeeper |
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Answer» for milk19 rs per litre so for 750 ml=14.25 rsfor oil48 per litre so for 500 ml=24so total bill=14.25+24=38.25so in exchange of 100 he will get 100-38.25=61.75 rs no it's wrong. if we will add ₹72&₹14.250 the answer will be ₹86.250 and if we will subtract ₹86.250 from ₹100 the difference will be ₹13.750 and that is the correct answer but well tried by you |
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| 78481. |
116. If 16 shirts of equal size can be made out of 24m of cloth, how muchcloth is needed for making one shirt? |
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Answer» 16 shirt = 24 m1 shirt = 24/16=3/2m=1.5m |
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| 78482. |
Shweta purchased a dozen shirts at the rate of 700 each and sold them at a profit of 8%. Ifis to pay GST at the rate of 18%, how much will one shirt cost to customer. What will be the toprofit earned by Shweta after selling all shirts? |
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Answer» Cost for 12 shirt = Rs.700 Cost for one shirt = 700/12 = Rs.50 SP of one shirts ie. Cost of one shirt to the customer = (50 x 108/100) + (50 x 8/100) = 50(108/100 + 8/100) = 50 x 126/100 = Rs.63 Total profit earned by Swetha = 700 x 8/100 = Rs.56 |
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| 78483. |
EXERCISE 14.31.Pradeep tookhis mother. How much money he have?Juhi played badminton forHow much time have she spent in playing?Acontainer contains 121 kg ghee. If the weight of containerirupees from his father and 5rupees from82.42 hrs. and football forhrs2163.1 kg then find out the weight of container with ghee. |
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| 78484. |
14. A carton consists of 100 shirts of which 88 are good and 8 have minordefects. Rohit, a trader, will only accept the shirts which are good. But,Kamal, an another trader, will only reject the shirts which have majordefects. One shirt is drawn at random from the carton. What is theprobability that it is acceptable to (i) Rohit and (ii) Kamal? |
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Answer» 1.1 6 class ncert solutionn |
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| 78485. |
The sum of three consecutive naturalnumbers is 153. Find the number which is amultiple of 17 out of these numbers |
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Answer» Ans three consecutive numbers be x,x+1,x+2is 153 x + x +1 + x +2 = 153 3x +3 = 153 3x = 153-3 3x = 150 x = 150/3 x = 50 Numbers are 50,51,52 The answer is 51 It is multiple of 17. |
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| 78486. |
(2) A box consists of 100 shirts of which 88 are good, 8 have minor defects and 4 havemajor defects. Ramesh, a shopkeeper will buy only those shirts which are good, butKewal', another shopkeeper, will not buy shirts with major defects. A shit is takenout of the box at random. What is the probability that,(i) Ramesh will buy the selected shirt?(ii) Kewal will buy the selected shirt? |
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Answer» Ramesh will buy the shirt= probablity is 88/100 44/50 22/25so the probablity is of 22/25kewal will buy the shirt= 92/100 46/50 23/25so the probablity is 23/25 Like my answer if you find it useful! |
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| 78487. |
EXERCISE 10Bof1 Rupesh secures 495 mar ks out of 750 in his annual examination Find the percentagmarks obtained by him |
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Answer» 495/750×100 will give u the result |
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| 78488. |
Rupest, marks obtained by him.eshsecures495marks out of 750 in his annual examluation. Find the pereenof |
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| 78489. |
Q.2 Which of following metals is obtatned by leaching its ore with dilute cyanide solc(a) Titanium(b) Silver(c) Vanadium(d) Zinc |
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Answer» Silver is obtained by leaching it's ore with dilute cyanide solution. |
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| 78490. |
of strength 900, were selected for the Repabilic Drey fanctiron.(6) 18% of the students from a school , were seHow many students were selected for the function? |
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Answer» Total number of students = 900Number of selected students= (18/100)*900= 162 Selected students = 162 |
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| 78491. |
1. A family contains father, mother, 2 male children and 1 female child. One ofthem is selected for trip Goa. what is the probability that a male child is selected ? |
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Answer» The no. male children are 2Only 1 of them is goingANS = 1/2 |
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| 78492. |
7. Of the three consecutive natural numbers, five times the smallest numbe9 more than four times the grecatest number,find the numbers.mmit renรกired it spending |
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Answer» Let the numbers are (n-1), n, (n+1)5(n-1)=4(n+1)+95n-5=4n+4+9n=13+5n=18Numbers are 17,18,19 |
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| 78493. |
Of the three consecutive natural numbers, five times the smallest number is9 more than four times the greatest number, find the numbers. |
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Answer» thanks |
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| 78494. |
7.The average marks of 18 students was calculated to be 65. However, it was later found out that themarks of one student had been wrongly entered as 24 instead of 34 and of another 88 instead of 78.The correct average is:(a) 55(c) 65(b) 60(d) 75walk at the |
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Answer» solution me the word start from c means X/18 Kya h |
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| 78495. |
1. Rupesh secures 495 marks out of 750 in his annual examination. Find the percentage ofmarks obtained by him. |
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| 78496. |
800 = 4x50 |
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Answer» 10 000 is your question answer 10000 Is the correct answer 10000 is the best answer 800/4*50=200*50=10000 10000 is the correct answer 800/4*50 = 20*50 = 1000 =10,000 is the correct answer 800/4=200200×50=10000 |
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| 78497. |
OMR -Question No. 1 to 35 have four options, out of which only one is correct. You haselected option, on the OMR - Sheet.Yeast reproduces by means of-(A) Budding(C) Pollination(B) Fragmentation(D)All of theseGametes are usually-(A) Haploid(C) Polyploid(B) Diploid(D) Nulliploid |
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Answer» yeast reproduce by means of (B) Fragmentation gametes are usually (A) haploid |
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| 78498. |
There are three cells each of 1.43 volt andhaving internal resistance of 012 in a torchbattery. How much current will it send to abulb of resistance 42(a) 5.72 A(b) 0.572 A(c) 1 A V(d) 3 A |
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| 78499. |
1. SI A,2. SICTION B. CLASS/HOME ASSIGNMENTSEL I2. 512100Calculate the amount and compound interest oncompounded annually.18000 for 22 years at 10% per annud interest on8000 for 1 year at 9% per ann |
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| 78500. |
6. Solve the following problems:(i) The product of four consecutive naturalnumbers is 840. Find the numbers. |
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