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.
| 5801. |
.12. Two angles of a polygon are right angles and every other angle is 120°. Find the numberof sides of the polygon. |
|
Answer» Sum of the exterior angle other than 90= 180therefore no. of side = 180/60 = 3 = 3 +2 = 5 |
|
| 5802. |
Observe the member-line given below carefully. What is the value of A+B?A(A) 6 +7 = 13(B) 6 +6 = 12(C) 7 +7 = 14(â‘) 7 + 12 = 19 |
|
Answer» option A is the correct answerA=7-1=6B=12-5=7hence, A+B=6+7=13 |
|
| 5803. |
4. What is the value of A: V6125 x A = 355. There are two numbers such that sum of the numbers is 50 and the difference is 14. Find the differecubes.6. Find V110 + V121 2117. Find the Pythagorean triplet whose smallest member is 12.12,16,20 |
|
Answer» x+y=50; x-y=14; x+y=50; x-y=14/ / 2y=36; y=18; x=50-18=32 |
|
| 5804. |
a baby elephant drinks around 12 L of milk every day. How much milk will it drink in two years? |
|
Answer» Milk elephant drink in 1 day=12LMilk elephant drink in (365*2 days) 2 years=12*365*2=8760L |
|
| 5805. |
The pure odluck of two meniheres es252.134. If one of the member i10.6. Find the other |
|
Answer» let 1st no be X x(12.6)=253.134x=253.134/12.6x=20.09 X×y= 253.134; x = 254.134/12.6=20.09 |
|
| 5806. |
find the weignt l zA bus covers 128 km in 2 hours and a train covers 240 kmtheir speeds. |
| Answer» | |
| 5807. |
A boat covers 24 km upstream and 36km downstream in 6hours, while it covers 36 km upstream and 24 kmdownstream in 6 22 hours. The velocity of the current is |
|
Answer» Let rate upstream = x km/h and rate downstream = y km/hThen,(24/x) + (36/y) = 36 ------(i)and (36/x) + (24/y) = 13/2 -------(ii)Adding (i) and (ii),60((1/x) + (1/y)) = 25/2=> (1/x) + (1/y) = 5/24 -------(iii)Subtracting (i) from (ii)12((1/x) - (1/y)) = 1/2=> (1/x) - (1/y) = 1/24 --------(iv)Adding (iii) and (iv)2/x = 6/24=> x = 8So (1/8) + (1/y) = 5/24=> y = 12Speed Upstream = 8 km/h andSpeed Downstream = 12 km/hSo,Velocity of Current = (1/2) * (12-8)= 2 km/h |
|
| 5808. |
36. A boat Covers 32 km upstream and 36 km downstream, in 7 hours. Also it Covers40 km upstream and 48 km downstream in 9 hours. Find the speed. Of boat in stillwater and that of the stream. |
|
Answer» Let the speed of the boat in still water = x kmph Speed of the stream = y kmph i ) relative speed of the boat in downstream= ( x + y ) kmphDistance travelled = d1 = 36Time = t1 hrt1 = d1 / s1t1 = 36/ ( x + y ) ii) relative speed of the boat in upstream = ( x - y ) kmphDistance = d2 = 32 kmTime = t2 t2 = 32/ ( x - y )Therefore ,Total time = 7 hrt1 + t2 = 7hr36 / ( x + y ) + 32/ ( x - y ) = 7 ----( 1 ) iii) second time ,Relativespeed of the boat indownstream = ( x + y ) kmphd3 = 48 kmTime = t3t3 = 48/ ( x + y ) iv ) in upstream Relative speed of the boat = ( x - y ) kmph time = t4 hrd4 = 40kmt4 = 40/ ( x - y ) Total time = 9 hr48 / ( x + y ) + 40/ ( x - y ) = 9 ---( 2 ) Let 1 / ( x + y ) = a ,1 / ( x - y ) = b Then rewrite ( 1 ) and ( 2 ) we get 36 a + 32 b = 7 -----( 3 )48a + 40b = 9 ------( 4 ) Multiply ( 4 ) with 4 and equation ( 3 ) with 5 and 192a + 160b = 36 ---( 5 ) 180a + 160b = 35 -----( 6 ) Subtract ( 6 ) from ( 5 ) we get a = 1/ 12 put a = 1/ 12 in ( 3 )we get ,b = 1/ 8Now 1/ ( x + y ) = 1/ 12 1/ ( x - y ) = 1/ 8 Therefore , x + y = 12 ----( 7 )x - y = 8 ----- ( 8 )add ( 7 ) and ( 8 )2x = 20x = 10put x = 10 in ( 7 ) we get y = 2 Speed of the boat in still water = x = 10 kmphspeed of the stream= y = 2kmph |
|
| 5809. |
A bus covers 128 km in 2 hours and a train covers 240 km in 3 hours. Find the ratio oftheir speeds. |
|
Answer» very good |
|
| 5810. |
8. Seven years ago Varun's age was five times the square of Swati's age. T hree years hence Sllwill be two-fifth of Varun's age. Find their present ages9 구 |
| Answer» | |
| 5811. |
18. A bus covers 128 km in 2 hoursand a train covers 240 km in 3 hours. Find the ratiotheir speeds. |
| Answer» | |
| 5812. |
SevenyearsagoVarun'sagewasfivetimesthesquareofSwati'sage.ThreeyearshenceSwati'sage will be two-fifth of Varun's age. Find their present ages.400 ind the |
|
Answer» Let present age of varun be m and swati be n Seven years agom-7 = 5(n-7)^2...... (1) 3 years hencen +3 = 2/5(m+3)5n + 15 = 2m + 6m = (5n + 9)/2.......(2) Put Value of eq(2) in eq(1) 5n+9 - 14 = 10(n-7)^2 n-1 = 2(n^2 + 49 - 14n)2n^2 - 29n +99=02n^2 - 18n - 11n +99 =02n(n-9) - 11(n-9)=0n = 9, 11/2 m = (5x9 + 9)/2m =54/2 = 27 Present age of varun is 27 years and swati is 9 years |
|
| 5813. |
Aftab tells daughter " Seven years ago" l was seven time as old as you were then Also, three years from now, l shall be three times as old as you will be. Represent this situation algebraically and graphically |
|
Answer» Thanks |
|
| 5814. |
Aftab tells his daughter, "Seven years ago, I was seven times,as old as you weAlso, three years from now, I shall be three times as old as you will be." (Isinteresting?) Represent this situation algehraicallv and pranhicallv09 |
| Answer» | |
| 5815. |
2.Show that 1764 is a perfect square! Find the number whose square is 1764. |
|
Answer» hi I'm in also in 8 send your no please send your phone number pls |
|
| 5816. |
becomes a perell squale.13. Find the smallest number by which 1152 must be divided so that it becomes a perfectsquare. Also, find the number whose square is the resulting number. |
| Answer» | |
| 5817. |
11 Find the smallest number by which 4851 must be multiplied so that the endbecomes a perfect square.12. Find the smallest number by which 28812 must be divided so that the userbecomes a perfect square.13. Find the smallest number by which 1152 must be divided so that it becomes a perfectsquare. Also find the number whose square is the resulting number |
| Answer» | |
| 5818. |
Find the natural number whose square is the expression (0.05)20log,(0.1) |
| Answer» | |
| 5819. |
3. A bag contains cards numbered from I to 100Find the probability that thei) card bears a number which is multiple of sii) card b h isat random from the bag.ears a number whicer thah or eua |
|
Answer» S={1,2,3,4,5,......,96,97,98,99,100}n(S)=100 EVENT AA={80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,100}n(A)=20P(A)=n(A)÷n(S)=20÷100=2/10=1/5 EVENT BB={5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100}n(B)=20P(B)=20÷100=1/5 |
|
| 5820. |
8.A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag.What is the probability that the ball drawn is (i) red?(ii) not red? |
| Answer» | |
| 5821. |
birthday?8. A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the hWhat is the probability that the ball drawn is () red? (ii) not red? |
| Answer» | |
| 5822. |
A bag contains 5 red and 8 green balls. A ball is drawn randomfrom the bag. Find the probability that ball drawn is red. |
|
Answer» 5+8=13 so the probability is 1/13 |
|
| 5823. |
The difference between an exterior angle of(n - 1) sided regular polygon and an exteriorangle of (n + 2) sided regular polygon is 6。Find the value of n. |
| Answer» | |
| 5824. |
10 An eight-sided polygon is a |
|
Answer» An eight sided polygon is a octagon. |
|
| 5825. |
Find the measure of an interior angle of a 21-sided polygon. |
| Answer» | |
| 5826. |
A 48-ounce box of cereal sells for$5.52. What is the unit rate? |
|
Answer» it is 10 20 15 30 20 40 25 50 |
|
| 5827. |
थी 2 ०9, भड 200 है कोट कक औ्योअ ने- e s 3 2 >iy 8 y<ihum® them snsur dhal L A |
| Answer» | |
| 5828. |
/The difference between the exterior angle ofa (n-1 sided regular polygon and antlsided regular polygon is 15° Find the value oln.Hint 360° 360- 15°]n-1 n +1 |
|
Answer» n-1 sided Polygon DATASize of each exterior angle = 360/(n-1)Size of each interior angle = 180-[360/(n-1)]==========================================n+1 sided Polygon DATASize of each exterior angle = 360/(n+1)Size of each interior angle = 180-[360/(n+1)]===========================================Equation: Difference = 9 degrees180-[360/(n+1)] - [180-[360/(n-1)] = 15°-(360/(n+1) + 360/(n-1) = 15°-1/(n+1) + 1/(n-1) = 1/24-----24(n-1)+24(n+1) = (n+1)(n-1)48= n^2-1n^2 = 49n = 7 hit like if you find it useful |
|
| 5829. |
Find the measure of each exterior angle of a regulรกf 12 sided polygon. |
| Answer» | |
| 5830. |
Taxi charges in a city consist of fixed charges and the remainingdepending upon the distance travelled in kilometres. If a man travels |
| Answer» | |
| 5831. |
NameTheGruphOFNumber(NaturalNumber,WholeNumber,integer) |
| Answer» | |
| 5832. |
8. Which is NOT the property of temporary magnet?a) Strength can be variedc)Magnetization can be controlledb)Polarity can be changedd) N & S poles are always permanent |
|
Answer» Unlike permanent magnets, temporary magnetscannot remain magnetizedon their own. They are usually made up of soft materials. They require an external force i.e. electric current to stay magnetized. As electric current is removed,they are demagnetized so far. hence, option (c) is correct. |
|
| 5833. |
If the length, breadth and height of a cube are increased, decreased and increased by 1%, 3% and2% respectively, then the volume of the solid(1) Increases(2) Decreases(3) Increases or decreases depending upon the original dimensions(4) Increase or decrease cannot be computed with the data available |
|
Answer» 3) Increases or decreases depending upon the original dimensions (3) Increase or decreases depending upon the original dimensions |
|
| 5834. |
7. Scooter charges at a certain place consists of some fixed charges and the remainingdepending upon the distance travelled in kilometres. If a person travels 10 km, he pays? 28 and for travelling 16 km he pays 43, formulate simultaneous equations and hencefind the fixed charges and the rate per km. |
| Answer» | |
| 5835. |
11. A die is rolled 150 times and itsoutcomes are recorded as below:Outcome 1 2 3 4 5 6Frequency | 25 30 | 15 | 28 | 32 | 20 |Find the probability of getting:(i) An odd number(ii) A multiple of 4 |
|
Answer» total outcome=150(i) P(an odd number)=(25+15+32)/150 (i)p(an odd number)=(25+15+32)/150=72/150=36/75=12/25(ii)p(a multiple of 4)=28/150=14/75 |
|
| 5836. |
_+_+_=30we can only fill odd number in blanks |
|
Answer» Odd numbers are the numbers which can't be completely divuded by 2. 13+12+5=30 your answer is wrong |
|
| 5837. |
If "x is an odd number, then its next oddnumber is (x + 1)". State True or False andjustify. |
|
Answer» falsebecause if x is odd and then 1 is added in it, it become even. that means it does not remain odd no. |
|
| 5838. |
The number of terms of an A.P. is even; the sum of the odd terms is 24, of the even terms 30,and the last term exceeds the first by 10, find the number of terms and the series3. |
| Answer» | |
| 5839. |
Use Euclid's division a900 and 270 |
| Answer» | |
| 5840. |
tt ea, .&レbat%hemustnn气ease la-,.it |
|
Answer» Let total amount required for car = xSaving every month should be equal to x/12 To buy car in 9 months saving should be x/9 So % increase in saving should be = [(x/9 - x/12)/(x/12)]*100= [(4x - 3x)/36/(x/12)]*100= (12/36)*100= (1/4)*100= 25% 33.3 |
|
| 5841. |
41 Find a natural number whose square diminished by 84 is equal to thrice of 8 morethan the given number..[NCERT EXEMPLAR]1 Did the |
|
Answer» Solution:-Let the natural number be 'x'.Therefore, according to the question.x² - 84 = 3(x+8)x² - 84 = 3x + 24x² - 3x - 84 - 24 = 0x² - 3x - 108 = 0x² - 12x + 9x - 108 = 0x(x - 12) + 9(x - 12) = 0(x + 9) (x - 12)⇒ x = -9 and x = 12we have to take the positive value because natural numbers cannot be negative.Therefore, the number is 12.Answer. |
|
| 5842. |
2041. Find a natural number whose square diminished by 84 is equal to thrice of 8 moreNCERT EXEMPLAR]than the given number. . |
|
Answer» Let the natural number be 'x'.Therefore, according to the question.x² - 84 = 3(x+8)x² - 84 = 3x + 24x² - 3x - 84 - 24 = 0x² - 3x - 108 = 0x² - 12x + 9x - 108 = 0x(x - 12) + 9(x - 12) = 0(x + 9) (x - 12)⇒ x = -9 and x = 12we have to take the positive value because natural numbers cannot be negative.Therefore, the number is 12. |
|
| 5843. |
2. Find a naturalnumber whose square diminished by 84 is equal to thrice of 8 morethan the given number |
|
Answer» Solution:-Let the natural number be 'x'.Therefore, according to the question.x² - 84 = 3(x+8)x² - 84 = 3x + 24x² - 3x - 84 - 24 = 0x² - 3x - 108 = 0x² - 12x + 9x - 108 = 0x(x - 12) + 9(x - 12) = 0(x + 9) (x - 12)⇒ x = -9 and x = 12 since, natural numbers cannot be negative so the required number is 12. |
|
| 5844. |
16. Two packs of candies weighkg andkg. What is the total weight of the packs? |
|
Answer» Two packs of candies weigh 12/5 kg and 9/10 kg Total weight of the packs= 12/5 + 9/10= (24 + 9)/10= 33/10= 3.3 kg |
|
| 5845. |
If she packs thepackets will she make?mIj) On Sports Day, 161 children are in the school playgroThey are standing in 7 equal rows. How many childrenthere in each row?Story Problemslems |
| Answer» | |
| 5846. |
A company packs chocolate powder in cylindrical jars of radius 7 cm and height 20 cm. The label ofthe company is placed around the surface of the jar with a 2 cm space from the top and the bottom.Find the area of the label |
|
Answer» Given:- a company fax chocolate powder in cylindrical judge of radius 7 cm and height 20 cm.The label of the company is placed around the surface of jar with a 2 cm space from the top and bottom. =>Height of the label=20 cm - 4cm=16 cm=>Radius of the label=7 cm.Area of the label=2πrh=(2×3.14×7×16) cm²=703.36 cm² THE ANSWER OF THIS QUISTION IS 352cm |
|
| 5847. |
lelogram ABCD, AB 18 cm, BC - 12 cm, AL L DC and AM L BO.D LIfAL = 6.4 cm, find the length of AM. |
| Answer» | |
| 5848. |
3. P is a point on side BC of a parallelogramABCD. If DP produced meets AB produced atpoint L, prove that:(i) DP : PL = DC : BL.(ii) DL : DP = AL : DC. |
|
Answer» where is the figure |
|
| 5849. |
7. In the adjoining figure, ABCD is a trapezium D Lin which AB II DC; AB-7 cm,AD = BC-5 cmand the distance between AB and DC is 4 cm. 8Find the length of DC and hence, find the areaof trap. ABCDA 7 cm B |
| Answer» | |
| 5850. |
Two cards are drawn at random and without replacement from a pack ofplaying cards. Find the probability that both the cards are black. |
| Answer» | |