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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.
| 78101. |
24 36B. Simplify:1 (-2), 5 (-2)23(-2) -11. (-2) (-2)3. 65 15C. Write T for true and F for false :146-12 9 |
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Answer» 2 ka 7/72 hoga ye correct ans hi 1 ka 19/18 hoga is the correct ans (-2)×3+5(2)+7(3)/18=-6+10+21/18=25/18 3/8+2/9-1/36=27+16-2/72=41/72 B(1) 19/18B(2) 35/72B(3)-1/10 |
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| 78102. |
24. Find the number which will replace the questionmark(?)5946A.80C. 62E. of theseB. 72D. 46 |
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| 78103. |
1-2+3-4+5-6+\ldots+999-1000 |
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| 78104. |
oa ts reiprocalthe other, lha tne volue of a)ă5-If the product of'thc zeroes ofthe polynomial 3x2 + 5xk Ä°s 6. iind the value of k. |
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| 78105. |
1.The19.- (2)[3)|a2ac ।If the sum and product of the roots ax? -5x+c =0 is two 10,both the volue of a & c is.यदि :-5+ = 0 के मूलो वा योग तथा गुणनफल दोनो 10 हो तो aतथा c वा मान होगा-सरल* (1){2} |
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| 78106. |
ExERCISE 12(A)ain is travelling at a speed of 60 km/h. How much distance will it travel in 4on1-minutes?ot 800 m is covered in go |
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Answer» 60minutes = 1 hour. 45 minutes = 0.75 hours. Distance = Speed * Time= 60*0.75= 45kms Please hit the like button if this helped you |
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| 78107. |
thers are blne. It a mansle is drawn. A jar contains 24 marbles, some are green adrobability that iu 1 3 een is 2/3. Find the mumber of fhbtbaemarbles. |
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Answer» Probability = possible outcomes / total outcomes Given total marbles = 24Let no. of green marbles = xThen no. of blue marbles = 24 - x Probability of drawing green marbles = x/24 Therefore, x/24 = 2/3x = 24*2/3x = 16 Number of blue marbles = 24-16 = 8 |
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| 78108. |
118. If y ax2 bx +c, represents a parabola openingdownward, then which of the following is correct?2a 4aeka. SAC < 0a) < 0, b > 0, c < 0 (4) a>0, b > 0, c<0(1) a > 0, b > 0, c>0 (2)(3)6 |
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| 78109. |
State and prove bpt or thales threom |
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Answer» Basic Proportionality Theorem: Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion. PROOF OF BPT Given: In ΔABC, DE is parallel to BC Line DE intersects sides AB and PQ in points D and E, such that we get triangles A-D-E and A-E-C. To Prove: AD/BD=AE/CE Construction: Join segments DC and BE Proof: In ΔADE and ΔBDE, A(ΔADE)/A(ΔBDE)=AD/BD (triangles with equal heights) In ΔADE and ΔCDE, A(ΔADE)/A(ΔCDE)=AE/CE (triangles with equal heights) Since ΔBDE and ΔCDE have a common base DE and have the same height we can say that, A(ΔBDE)=A(ΔCDE) Therefore, A(ΔADE)/A(ΔBDE)=A(ΔADE)/A(ΔCDE) Therefore, AD/BD=AE/CE Hence Proved. The BPT also has a converse which states, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. Like my answer if it is useful! |
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| 78110. |
Ankita studies 3 hours, 5 hours, 4 hours3 hours and 5 hours on five consecutivedays of the week. How many hours doesshe study on an average each day? |
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Answer» please like my answer if you find it useful |
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| 78111. |
ple 3. How many 3-digit numbers can be formegits 1, 2, 3, 4 and 5 assuming thatn renetifion of the digits is allowed? |
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| 78112. |
I.A survey was conducted by a group of students as a part of their environment awarenesprogramme, in which they collected the following data regarding the number of plants in20 houses in a locality. Find the mean number of plants per house.Numher of plants 0-2 24 46 68810 10-12Number of houses12-14Which method did you use for finding the mean, and why? |
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| 78113. |
EXERCISE 13.11. A survey was conducted by a group of students as a part of their environment awarenessprogramme, in which they collected the following data regarding the number of plants im20 houses in a locality. Find the mean number of plants per house.Number of plants 0-2 2-4Number of houses14-6 6-8 8-10 10-1212-14562Which method did you use for finding the mean, and why?2. Consider the fol |
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| 78114. |
ind tu volue |
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| 78115. |
If 230 gulmohur trees, 375 neem trees and160 teak trees were planted on the hillside,how many trees were planted altogether? |
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Answer» Hence the total number of trees are 230+375+160=765 trees |
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| 78116. |
A road is 4 km 800 m long. If trees are planted on both its sides at intervals ofhow many trees were planted? |
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| 78117. |
3. Raghuraj has 30 marbles. In 5 games he won 3 marbles each and in 7 games he lost 2 marblescach. Find the marbles Raghuraj has at the end of the games. |
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Answer» according to mine 1marbel is left |
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| 78118. |
To verify basic propotionally theorem ( Thales Theorem) |
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Answer» 1 2 3 |
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| 78119. |
A State Thales theorem (Basic proportionallytheorem) and prove it. |
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Answer» Ingeometry,Thales's theoremstates that if A, B, and C are distinct points on acirclewhere the lineACis adiameter, then theangle∠ABC is aright angle. Thales's theorem is a special case of theinscribed angle theorem, and is mentioned and proved as part of the 31st proposition, in the third book ofEuclid'sElements.It is generally attributed toThales of Miletus, who is said to have offered anox(probably to the godApollo) as a sacrifice of thanksgiving for the discovery, but sometimes it is attributed toPythagoras. |
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| 78120. |
e speed3. A train covered a certain distance at a uniform speed. If thof the train would have been 15 km/h more, it would have t1.2 hours less than the scheduled time. If the speed of thewould have been 12 km/h less, it would have taken 1.5 hours mothan the scheduled time. Find the distance covered by the trainake(HOT |
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Answer» Let the speed of the train by x km/hrAnd the time taken by the train be ‘y’ hrsDistance traveled by the train is x.y = xy Case IIf the train would have been 15 km/hr faster, it would have taken 1.2 hours less than the scheduled time.⇒ (x + 15) (y - 1.2) = xy⇒ -1.2x + 15y = 18⇒ 2x – 25y = -30---------------- (1) Case IIIf the train were slower by 12 km/hr, it would have taken 1.5 hours more than the scheduled time⇒ (x - 12) (y + 1.5) = xy⇒ 1.5x – 12y = 18⇒ x –8y = 12----------------(2) Solve it simultaneously and get the values of x and y.y= 6hrx=60 km thanks a lot |
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| 78121. |
1. A survey was conducted by a group of students as a part of their environment awarenessprogramme, in which they collected the following data regarding the number of plants in20 houses in a locality. Find the mean number of plants per house.0-2 2-4 4-6 6-8 8-10 10-12 12-14Number of plantsNumber of houses2 |
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Answer» thank you |
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| 78122. |
EXERCISE 13.11. A survey was conducted by a group of students as a part of their environment awarenessprogramme, in which they collected the following data regarding the number of plants in20 houses in a locality. Find the mean number of plants per house.Namber of plants 0-2 2-44-6 6-8 8-10 10-12Number of houses 112-14Which method did you use for finding the mean, and why?Consider the following distribution of daily wages of 50 workers of a factory |
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| 78123. |
A survey was conducted by a group of students as a part of their environmentprogramme, in which they collected the following data regarding the num20 houses in a locality. Find the mean number of plants per house,Number of plants 0-2 2-4 4-6 6-8 8-10 10-12Number of houses 112-1422Which method did you use for finding the mean, and why?Consider the following distribution of daily wages of 50 workers of a factor |
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| 78124. |
1.A survey was conducted by a group of students as a part of their environment awarenessprogramme, in which they collected the following data regarding the number of plants in20 houses in a locality. Find the mean number of plants per house.10 10-1212-14Number of plants 0-2 2-4466-88-1Number of houses262Which method did vou use for finding the mean, and why? |
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| 78125. |
1. A survey was conducted by a group of students as a part of their environment awarenessprogramme, in which they collected the following data regarding the number of plants in20 houses in a locality. Find the mean number of plants per house.Number of plants0-22-44-66-88-10 | 10-1212-14Number of houses561 23Which method did you use for finding the mean, and why? |
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Answer» thanks |
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| 78126. |
AIEEE 2012)except forcolours, the number of ways n83a Assuming the balls to be identicaldifference inwhich one or more balis can be selected om10 white, 9 green and 7 black bails is(1) 629(2) 630(3) 879(4) 880 |
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Answer» 11*10*8 - 1= 879 times option(3) |
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| 78127. |
12.On selling a computer 10Atricycle is sold at a gain of 15%. Had it been sold forăŚ108 more, the profit would have been 20% rcost price.3ld heve gained 6% |
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Answer» Let CP is x Gain%=gain*100/CP 15=gain*100/x15x=gain*100 If, sold for 108 Rs more; New gain= (gain+108), profit %=20% 20=(gain+108)*100/x20x=gain*100+1080020x=15x+108005x=10800x=2160 So cost price is 2160 Rs |
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| 78128. |
I the alminprice must he sell it to gain 12%yall UuugaliTU14. By selling a computer table for 2400, Mayank loses 4%. At what price must he sell it toIsu calling tool for 265 a camenter loses 20%. How much per cent would he gain or los |
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Answer» The answer is 2880AM I right The answer is 2880 of your question the answer is 2880 for the question 2880 is the best answer |
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| 78129. |
If 40 men can finish a job in 12 days, how many men should be employed to finish the job in 8 days? |
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| 78130. |
A gardener planted 1,521 trees in rows such that the number of rows was equal tothe number of plants in each row. Find the number of rows. |
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Answer» You are probably asking number of rows.The solution could be like this ―Let the number of rows (= Number of trees in each row) is 'n'.Total number of trees = Number of rows × Number of trees in each row=> n×n = 1521=> n = √(1521)=> n = 39 [Answer] |
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| 78131. |
4. Brianna arranged 40 marbles into an array with5 marbles in each row. How many rows of marblwere in her array? |
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Answer» 5 marbles in 1 row40 marbles in ? row 5×x = 40× 1 x = 40/5 x = 8 therefore 40 marbles in 8 rows. |
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| 78132. |
orsoley-Hamilton theorem if A=fy Cayley-Hamilton th |
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| 78133. |
A solid cube of side 12 cm is cut into 8 identicalcubes. What will be the side of the new cube?Also, find the ratio between the surface areaof the original cube and the total surface areaof all the small cubes formed.8. |
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Answer» Volume of old cube =a³⇒(12)³=1728 cm³No.of cubes =8Volume of old cube = 8* volume of 1 new cube1728=8*a³1728/8=a³12/2=a6 cm=aSurface area of old cube/ surface area of new cube=6*(12)²/6*(6)²=144/36=4/1=4:1 |
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| 78134. |
Pipe 'A' can fill an empty tank in 3 hoursless than the time in which pipe 'B', canempty a full tank. If both the pipes areopened together, the tank is filled in 60hours. In how many hours can pipe 'A' fillthe tank? |
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Answer» letpipe a has capacity of x and B has capacity of x minus 3 x+x-3=602x=63x=36.5. ans |
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| 78135. |
A solid cube of side 12 cm is cut into 8 identicalcubes. What will be the side of the new cube?Also, find the ratio between the surface areaof the original cube and the total surface areaof all the small cubes formed |
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Answer» Side of a large cube(a) = 12cmvolume of the cube = (12³)cm³=> 1728 cm³eight small cubes of equal volumes are cut from the larger one∴volume of larger cube = 8* volume of one small cube.=>1728 = 8 * volume of small cube=>1728/8 = volume of small cube∴volume of one small cube = 216.then side of the smaller cube =∛216 = 6cmThe ratio of surface area of larger cube and small cube = 864:216 = 4:1 |
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| 78136. |
ts VounO.A solid cube of side 12 cm is cut into 8 identicalcubes. What will be the side of the new cube?Also, find the ratio between the surface areof the original cube and the total surface areof all the small cubes formed.8. |
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Answer» thank you |
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| 78137. |
A survey was conducted by a group of students as a partrogramme, in which they collected the following data regarding the number of plantoftheirenvironment awarenhouses in a locality. Find the mean number of plants per house.Number of plants o-2 2-4 4-6 68 8-10 10-12 12.1Number of houses 102 |
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| 78138. |
by a group of students as a part of their environment awA survey was conductedorogramme, in which they collected the following data regarding the number of plantnment awarenessI.20 houses in a locality. Find the mean number of plants per houseNumber of plants 0-2 24 4-6 6-8 8-10 10-12 12-14Number ofhouses |
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| 78139. |
IFind their present ages.24.Divide 184 into two parts such that one-third of one part may exceed orpart by 8.(Hint. Let the two parts be x and (184 - x). Then,84 - x) = 8.1number of notes is 90 |
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| 78140. |
A computer was bought for30,000. It was sold after two years. I fthe rate of depreciation be 5% per annum.find the selling price ofthe computer |
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| 78141. |
2.5 Some More ApplicationsExample 14: The digits ofa two-digit number liffe by3, fthe digits are ind orSo, Shrand the resulting number is added to the original number, we get loriginal number?er, we get 143. What can be the |
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Answer» please like my answer if you find it useful |
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| 78142. |
canal 3900 m. long in 24 days?ays. How many men are required to di |
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Answer» Let the number of men needed be 'x'. Applying Chain Rule, 3150/175×36=3900/24*X Or,X = 325 Men (Answer |
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| 78143. |
ays. Which month's calendar(e) The calendar for a month has 4 rows. Each row has 7 d |
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Answer» total days=4×7=28February |
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| 78144. |
In the adjoining figure, name(i) four pairs of intersecting lines(ii) four collinear points(iii) three non-collinear points(iv) three concurrent lines(v) three lines whose point of intersection is P |
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| 78145. |
ays, in her childhood petrol was 1 a litre. It istfy motncr ntage has the price gone up?says, in he52 per litre today |
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| 78146. |
Fig. Q.8325°9. Find a, b and c.High Order Thinking Skills (HOTS)0. Similar marking show parallel lines. Find La and Zb. |
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| 78147. |
opened together?can empty the full cistern in 10 minutes. If all the three pipes are openede empty tank, how much time will they take to fill the tank completely?ets A and B which can fill it in 12 minutes and 15 minutes respectivelyAn outlet Ctogether in th |
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| 78148. |
pole, given that I em' of iron has approximately 8g mass. (Use Tt-3.14)7. A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing one of water left in the cylinder, if the radiusa hemisphere of radius 60 cm is placed upright in a right circular cylinder full of watesuch that it touches the bottom. Find the volumof the cylinder is 60 cm and its height is 180 cm. |
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Answer» Answer: Step-by-step explanation: We need to calculate the volume of the solid figure The figure is made of two shapes: Conical partHemispherical partStep 1 : Calculate the volume of the conical part: The following is the formula of calculating the volume of a cone: 1/3 πr²H Volume = 1/3 × 3.142 × 60 × 60 x 120 = 452448 cm³ Step 2: Calculate the volume of the hemispherical part Formula for calculating the volume of a hemisphere 2/3πr³ Volume = 2/3 × 3.142 × 60 × 60 × 60 = 452448 cm³ ∴ The volume of the solid is: 452448 + 452448 = 904896 cm³ Volume = 904896 cm³ Step 3: Find the volume of the cylinder: Formula of calculating the volume of a cylinder πr²H Volume = 3.142 × 60 × 60 × 180 = 2036016 cm³ ⇒The volume of the water remaining in the cylinder will the volume of the solid subtracted from the volume of the cylinder. 2036016 cm³ - 904896 cm³ = 1131120 cm³ The volume of the water left is 1131120 cm³ |
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| 78149. |
High Order Thinking Skills (HOTS)20. If 15% of 40 is greater than 25% of a number byT2. Find the number. |
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Answer» 2+6×2=64÷2=32 is the right answer bhaiyya jii 32 is the correct answer 16 is the correct answer of given question |
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| 78150. |
(ii) 12 m(iv) 18 m10. Two identical cubes each of total surface area of 6 cm2 are joined end to end. Whichof the following is the total surface area of the cuboid so formed?(i) 12 cm2(ii) 10 cm2(ii) 18 cm2(iv) 8 cm2 |
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