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ICSE Class X Board Exam 2025 : English Paper 2 (English Literature)

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Grade-10 Word Problems on LE, OE and AP 1. Vijay invested certain amounts of money in two schemes A and B, which offer io/o Cf >/d interest at the rate of per annum and per annum, respectively. He received~ 1,860 as the total annual interest. However, had he interchanged the amounts of investments in the two schemes, he would have received ~ 20 more as annual interest. How much money did he invest n each scheme? Ans:- 12000 in A and 10000 in B. 2. A train travels a distance of 480 km at a niform speed. If the speed had been 8 km/ hr less, then it would have taken 3 ours more to cover the.same distance. What is the original speed of the train in m / hr? Ans:- 40 km/hr 3. The perimeter of a right triangle ls 60 cm and its hypotenuse is 25 cm. Find the lengths of other two sides of the triangle. Ans:- 20 cm and 15 cm 4. Places A and Bare 180 km apart on a highway. One car starts from A and another from Bat the same time. If the car travels in the same direction at different speeds, they meet in 9 hours. If they travel towards each other with the same speeds as before, they meet in an hour. What are the speeds of the cars? Ans:- 100 km/hr and 80 km/hr. 5. Ms Sheela visited a store near her house and found that the glass jars are arranged one above the other in a specific pattern. On the top layer, there are 3 jars, in the next layer there are 6 jars and so on till the 8th layer. a. Is it possible to arrange 34 jars in a layer if this pattern is continued? Justify your answer. b. Find the number of jars in layer 8 and also find the total number of jars in all the 8 layers. Ans:- 108. c. The shopkeeper added 3 jars in each layer. Now how many jars are there in the fifth layer from top? Ans:- 18 6. Six years ago, Salim was thrice as old as his daughter and six years later, he will be four years older than twice her age. How old are they now? Ans:- 38 and 14 7. Had Ajita scored 10 more marks in her mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. How many marks did she get in the test? Ans: 15. 8. At present Asha's age (in years) is 2 more than the square of her daughter Nisha's age. When Nisha grows to her mot~r's present age, Asha's age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha. Ans:- 5 and 27 9. The students of a school decided to beautify the school on the Annual Day by fixing colourful flags on the straight passage of the school. They have 27 flags to be fixed at intervals of every 2 m. The flags are stored at the position of the middle .. , i I \ .. J most flag. Ruchi was given the responsibility of placing the flags. Ruchi kept her books where the flags were stored. She could carry only one flag at a time. How much distance did she cover in completing this job and returning back to collect her books? What is the maximum distance she travelled carrying a flag. Ans:728m, 26m. . 10. Jaspal Singh repays his total loan of Rs 118000 by paying every month starting with the first instalment of Rs 1000. If he increases the Instalment by Rs 100 every month, what amount will be paid by him in the 30th instalment? What amount of loan does he still have to pay after the 30th Instalment? Ans:- 73500, 44500. 11. At t minutes past 2 pm, the time needed by the minute hand of a clock to show 3 pm was found to be 3 minutes less than t 2/4 minutes. Find t. Ans:- 14 minutes. 12. In the centre of a rectangular lawn of dimensions 50 m x 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m2 Find the length and breadth of the pond. Ans:- 34m and 24m 13. Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number. Ans: 12 14. Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour if she travels 2 km by rickshaw, and the remaining distance by bus.On the other hand, if she travels 4 km by rickshaw and the remaining distance by bus, she takes 9 minutes longer. Find the speed of the rickshaw and of the bus. Ans:- 10km/hr and 40 km/hr 15. A two-digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting.5 or by multiplying the difference of the digits by 16 and then adding 3. Find the number. Ans:- 83 16. A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ticket from the station A to B costs Rs 2530. Also, one reserved first class ticket and one reserved first class half ticket from A to B costs'Rs 3810. Find the full first class fare from station A to B, and also the reservation charges for a ticket. Ans:- Rs 2500 and Rs 30 17. A shopkeeper sells a saree at 8% profit and a sweater at 10% discount, thereby, getting a sum Rs 1008. If ~he had sold the saree at 10% profit and the sweater at 8% discount, she would have got Rs 1028. Find the cost price of the saree and the list price (price before discount) of the sweater. Ans:- Rs 600 and Rs 400 18. Vijay had some bananas, and h.e divided them Into two lots A and B. He sold the first lot at the rate of Rs 2 for 3 bananas and the second lot at the rate of Re 1 per banana, and got a total of Rs 400. If he had sold the first lot at the rate of Re 1 per banana, and the second lot at the rate of Rs 4 for 5 bananas, his total collection would have been Rs 460. Find the total number of bananas he had. Ans:500 ma'n'go'es.:iA says to B~'If you glv e me 30 nu'I'm. be'r:,of 19 ~ ,::: .... 'a n d s . e a c11Thave.1'ii"'certaln: 1 -1 1 m:ah'"Y a'.....si ,left\,iith':. s,......... '., ;. :,: u{fuan' ...:: ..J.ofyo , reP ue sq,.,."If -You give ......,... You"JB .... ,............ , ...............,.,,....... . ,, ,......,go:e'fi(\vili'have twlce' a 11 .. I :. ,,,.,._. . A ,. ' I ';"!" 11 '"!' --1 .:1 ,t : 'i i ,l:.J; 111 '. 11 ... 1 1 I ., I. , .. ,, .,, 1 , I 'I ': ! L I ',, I ' ' . ' ., I , ., \ t ' "h , rurtr -t, m'a' n: "yl l?a"ll's:1;i'1l'e'"l't "'tw1i:11 1 Ith''"yo u " H"'o ' w' l ' l m , , ,,, , 1: ,, ., ;Jlh n 11111. :q11 d1,. I:i11I r """'T . ,. ., , 11 ave h.r 1lc"e'...''ia''" s ' . any ,mangoes h I ,\' . m e,, ;-- ,- r]i: -10 I w1 , ,. 1 1,I' .,., 'r i , , . , . 1. ,,111,. i , . , . . . ., . oes eac 1 1 1 1 1 . ~ -~:. 4' : an 1::: .i "''d 62' : 1.1 l'j: '1:i! ' . !,':j, t1: ;,l11i '1i1:; ; '1' 1\ 1t ' I: l!,1\)I ,,1,,:;11 .'1:1,1 ','1'.h'. 11:i1; 111u~1, 3',;i iive?'Ans: ,:,,,,'!, .. ,.,,1.'r Ii.' ' ;1;,,:,,,J:;:,.:1:!'.l;;iF,l':':..::;,;:tJ ,:';,.;:/ .:l !,/ A ;;,an wished to give to each person and found that he fell short of when he 2 wanted to give to all the persons present. He, therefore, distributed to each persOn and .found -that were left over. How much money did he have and how were there? Ans:- Rs 54 and 5 persons. manYPe rsons . Kanika w~s given her pocket money on Jan 1st, 2008. She puts Re 1 on Day 1, 21 Rs 2 on Day~ 2, Rs 3 on Day 3, and continues doing so till the end of the month, from this mgney into her piggy bank. She also spent Rs 204 of her pocket money, and found that at the end of the month she still had Rs 100 with her. How much was her pocket money for the month? Ans:- Rs 800 22 . Yasmeen _saves Rs 32 during the first month, Rs 36 In the second month and Rs 40 in the third month. If she continues to save In this manner, In how many months will she save Rs 2000? Ans:- 25 months 23. In a competitive examination, one mark is awarded for each correct answer, while 0.5 marks are deducted for every wrong answer. Jayanti answered 120 questions and scored 90 marks. How many questions did she answer correctly? Ans:-100 24. When 6 boys are admitted and 6 girls left. Then the percentage of boys Increased from 60% to 75%. Find the number of boys and girls In the class. Ans:24 boys and 16 girls. 25. The present age of a man Is equal to the sum of the ages of his five children. Twelve years hence the sum of the ages of the children will be twice the age of their father. :Find the present age of the father. Ans:- 36 years. 26. The students of a class are made to stand In rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are less In a row, there would be 2 rows more. Find the number of students In the class. Ans:- 36 27 , The population of the village Is 5000. If In a year, the numbers of males were to increase :by 5% and that of the female by 3% annually the population would grow to 5202 at the end of the year. Find the number of males and females in the village. Ans::.. 2600, 2400 28 Two canqles of equal height but different thickness are lighted. The first candle ~urn.s off co_mpletely in 6 hours, and the second candle In 8 hours. How long after lighting both "Viii the first candle be half the height of the second candle? Ans:- 4 hou~~--4_8 minutes. . 29 O . 1 ~.:~~,fo'u'rttlof ci' herd of cam'' e' Is.'' w '!al: 's 'i'lsl'! 'eil;e ; n' In' the''forfist'i,,Twlce th'E?squ'a?e'Y00~::~fl . had'' '; . "'c'>'n ,.. :,i ' i.i, II'' ,,; ;, tp'""ll'; ,/'llilj,, ,,,,., l' ll l.l.. , the herd , s 'amels1 were' seen'.'.on .. the b. ,., -.1... --:,1,8 ,., ,e_ to_th. e mountains and the remaining ,1 c . ... .11.1,.,1...1. 1,1,,., i:'I ": :: 1i : .,, . ank of a' rive' Fln,''d' , t h., .,,t , 't'., 1 ;," 1 11 ,i..,,11, 6 111i' !!l 11 1,; : , , ,,., ' " 1' '1 ,I,, A n s~ :36. !i"'.-l'il !..:('11 i '" ;\'-'\'1 .,:::1:11,t,, :'.11 e o a num er o came s~ . ..i , ., ,: 1:,1 .1 ::1! , .,11.,,-1,i.. J ) ,,, ;",: ,i!_ 30 11. ~ th'eitop' 'of'a ;p i11~r~ which' 1s 9 m hlgti~ P.?i1 27 away from t~e- bottom 'of th'e p111~'r'1a: s'n'a1<e Is comln g to Its hole 'at the base of th ~ ,,. , J'" .: , .. -_i.:::: - , , I,,, ~1,'1!j! t II,., ,, I 1' 1 1 =:1$~ 1 .. I : 11,1, 'I ,;:!,I ,1 I 1 ,j ! _. , ,,:., I 1 I' ', 11 ' ' .-,_.' t' 1'. I t . :,. ' I ....., ,,' !LI,,, ' ':' I 1! 'I. 1 I 1 '' :. ' l t 't I, 1 1; ", 1 '1' 1 !,,:11/,,!; .,_, ,_1., 1 11'-! -r-, , l.. I . l ,I , I ' ',!-: ..,,, .., .. , ,., ., I' ' ' 111!1 1111 :,l.l'a!1; 1111r!.!1 11 ~ 1 1 ;i!,, p !' . ,., . , . .. .. pe~~oc~: .~~.,s.!~n1{on 1 ~-"~~i.~: ~r' ,1 ,.. m pillar. Seeing the snake the peacock pounces on It. If their speeds are equal, at what dlsta'nce from the whole snake Is It caught? Ans:- 12m 31. Swati can row her boat at a speed of Skm/hr In still water. If It ~akes her 1 hour more to row the boat 5.25km upstream than to return downstream, find the speed of the stream. Ans:- 2km/hr. 32. The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x Is equal to the sum of the numbers of the houses following it. Find this value of x. Ans:- 35 33. A small terrace at a football ground comprises of 15 steps ea~h of which is SO m long and built of solid concrete. Each step has a rise of m and a tread of m. Calculate the total volume of concrete required to build the terrace. Ans:- 750 cubic meters 34. 200 logs are stacked In the following manner: 20 logs In the bottom row, 19 in the next row, 18 In the row next to It and so on.In how many rows are the 200 logs placed and how many logs are in the top row? Ans:- 16,5 35. A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres In such a way that the differences of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. Is it possible to do so? If yes, at what distances from the two gates should the pole be erected? Ans:- Sm from the gate Band 12m from the gate A 36. A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Latika paid Rs 22 for a book kept for six days, while Anand paid Rs 16 for the book kept for four days. Find the fixed charges and the charge for each extra day. Ans:- Fixed charge Is Rs 10 and extra Is Rs 3 37. A motorboat can travel 30 km upstream and 28 km downstream in 7 hrs. It can travel 21 km upstream and return In 5 hrs. Find the speed of the boat in still water and the speed of the stream. Ans:- still water 10km/hr and speed of the stream is 4km/hr 38. A boy's and his father's age amount together to 32 years. Fifth part of the product of their ages exceeds the boy's age by 10 years. Find th:eir ages. Ans:- 2 years and 30 years. 39. A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed? Ans:- 42 km/hr 40. Two cars start together In the same direction at the same place. The first goes with uniform speed of 10 km/h. The second goes at a speed of 8 km/h in the first hour and Increases Its speed by 1/2 km each succeeding hour. After how many hours will the second car overtake the first If both cars go non-stop? Ans:- 9 hours.

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