Ramanujan class 6

Class – VI
1. In one day four men have respectively completed
3 4 1, ,
14 7 21
and
1
35
part of a work. What part of the work has been
completed together by them in one day?
(a)
180
217
(b)
182
210
(c)
180
211
(d)
181
210
2. A man while travelling from his place of work to his residence covers
2
5
of the journey by train,
1
3
of the journey by bus and
the remaining ditance by walking. What part of the journey has he covered by walking?
(a)
2
15
(b)
4
15
(c)
6
15
(d)
9
15
3. Rahim has given
7
16
part of his land to his wife and the remaining land has been equally divided among his three sons. What
part of the land has each son got?
(a)
4
13
(b)
3
10
(c)
3
16
(d)
3
14
4. In a city the average temperature of a week was 32.6°C. During that week the average temperature from Tuesday to Satur-
day, was 34°C. What was the average temperature of Sunday and Monday?
(a) none of these (b) 28.1°C (c) 29°C (d) 29.1°C
5. In a competition girls of Bidhubhusan school have correctly answered 9 questions out of 22, where as the girls of Bagnan school
have correctly answered 15 questions out of 35. Which school won the competition and what us their parcentage of score?
(a) Bagnan school,
667 %
7
(b) Bagnan school
642 %
7
(c) Bidhubhusan school,
667 %
7
(d) Bidhubhusan school,
642 %
7
6. 10 labours took 30 days to construct a small building. If 17 labourers would have been engaged for the construction. How
much time they would have taken?
(a)
1217
17
days (b)
1017
17
days (c)
1117
17
days (d)
1118
17
days
7. Kamal and Amal can seperately do a piece of work in 10 hours and 12 hours respectively. In how many hours they can com-
plete the work togethers?
(a)
55
11
hr (b)
55
12
hr (c)
55
7
hr (d) none of these
8. The perimeter of a square field is equal to the perimeter of a rectangular field. If the length and breadth of the rectangular field
and breadth of the rectangular field are 48m and 32m respectively, what is the area of the square field.
(a) 1607 sq cm (b) 1500 sq cm (c) 1600 sq m (d) 1800 sq cm
9. The length of a side of a square plot of land is 32 m. The length of a rectangular plot of land is 36m and its perimeter is equal
to that of the square plot. What is the breadth and area of the rectangular plot of land?
(a) none of these (b) 28 m 1000 sq m (c) 28 m, 1008 sq m (d) 27 m 1008 sq m
10. At a function held in a city, 1300 visitiors had attnted in the first year. Next year the number of visitors was increased by 0.7
part. In the third year the number of visitors was 0.3 part less than the previous year. Howmany visitors had attended the func-
tions in third year? What is the percentage increase or decrease in the number of visitors in the third year in comparison to
that in the first year?
(a) 1547; 20% decrease (b) 1547; 19% increase
(c) 1547; 19% decrease (d) 1542; 20% increase
11. The speed of a diesel engine is 30% more than that of a steam engine. If the steam engine covers a distance of 520 km. in 13
hour. How long a diesel engine will take to cover the same distance?
(a) none of these (b) 9 hrs (c) 10 hrs (d) 11 hrs
12. The price of goods increases by 10% every year. The present price of unmbrella is Rs. 75. How much will it cost after 2 years?
(a) Rs 98.25 (b) Rs 100 (c) Rs 90.75 (d) Rs 98
JMMC RAMANUJAN MEMORIAL MTSE SAMPLE QUESTIONS
Class VI

13. Shukla has bought a few exercise books for Rs. 80.50, her elder brother has bought a number of similar exercise books for Rs.
103.50. What is the maximum possible price of each exercise book? How many exercise books purchase at that price al to-
gether then by them?
(a) Rs. 11.50; 16 (b) Rs. 10.50; 15 (c) Rs. 11.00; 19 (d) Rs. 9.50; 17
14. The length of an iron and a copper sheet are 6m 72 cm and 9m 60 cm respectively. They are to be cut into integral number of
pieces of equal length. What should be the greatest length of each sheet that can be cut off from the two sheets?
(a) 96 cm (b) 92 cm (c) 96 cm (d) none of these
15. In a flood relief camp there are 1080 pieces of dhotis, 1620 pieces of sarees and 2700 pieces of shirts. Find the maximum
number of families among which those clothes can be equally distributed. How many clothes of each type will each family
get?
(a) 540, Dhotis = 2 Sari =3 Shirt = 5 (b) 560, Dhotis = 4 Sari =3 Shirt = 2 (c) 520, Dhotis = 5 Sari = 1 Shirt = 9
(d) 500, Dhotis = 3 Sari =5 Shirt = 9
16. Two containers contain 5 kilolitres 432 litres of mustard oil and 5 kilolitres 917 litres of coconut oil respectively. Some
dumps each of same size are completely filled up separately by the two types of oils. What should be the maximum volume
of each drum?
(a) 93 litres (b) 97 litres (c) 95 litres (d) 90 litres
17. Buses run from Karunamoyee depot to Howrah, Garia, Jadavpur and Madhyamgram at intervals of 10 mins, 15 mins, 20 mins
and 25 mins, respectively. Four buses one on each of the four routes started together at 6 am. what hours the busses of all the
four routes will start together again next time?
(a) 12 noon (b) 11 am (c) 10 am (d) 9 am
18. In a problem of long division all the remainders are successively 312, 383 and 1. If the dividend is 86037. Find the division
and the quotient.
(a) division = 548, quotient = 157 (b) division = 545, quotient = 155
(c) division = 540, quotient = 195 (d) none of these
19. In a problem of long division the successive remainders are 9 and 221. If the dividend is 123456. Find the division and the
quotient.
(a) division = 240, quotient = 502 (b) division = 245, quotient = 503
(c) division = 225, quotient = 503 (d) division = 245, quotient = 500
20. The length of three valuable wires are 0.85 cm, 1.02 cm and 1.36 cm respectively. They are to be divided into pieces of equal
length. What shoul be the greatest length of a piece of wire that can be cut off from the three given wires.
(a) 0.17 cm (b) 0.18 cm (c) 0.19 cm (d) none of these
21. Three bells ring at intervals of
21
3
sec,
52
6
sec,
19
5
sec respectively. All the bells ring simutaneously at 10 am. When will
they again ring simultaneously next time?
(a) 11 hour 10 min in (b) 11 hour 5 min 10 sec in the evening
(c) 11 hour 5 min 10 sec in the morning (d) none of these
22. On the Republic Day, your game teacher has arranged all the students of your school at different drills in 12, 15, and 20 lines.
At one time all the students were arranged in a perfect square as well. Find the least possible number of students present in the
school on that day.
(a) 900 (b) 800 (c) 700 (d) none of these
23. To organise a picnic, each member at a society had subscribed as many ten rupee notes as the number of members. The total
cost incurred for the picnic was Rs. 3000, which is Rs. 110 more than the total subscribed amount. How many members were
there in the society.
24. A garden has plucked 1080 mangoes form his garden. To send there mangoes to market for selling. He decided to pack the
mangoes in as many baskets as the number of mangoes in each basket. In doing so, he finds that there is a shortage of 9
mangoes. How many baskets did he bring?
(a) 28 (b) 33 (c) 30 (d) 27
Class VI

25. A group of students from your school was taken to visit Nalanda. Each student member of the group has contributed three
times as many rupees as the number of students in the group. The total contribution raised was Rs. 867. How many students
were there in the group.
26. To visit Haldia port, same of your friends have decided to contribute as many five rupee coins twice as many two rupee coins
and thrice as many are rupee coins, as the number of your friend in that group. The total subscription was Rs. 972. How many
members were there in the group. How many coins of each type did each of your friend contribute?
(a) 9, Rs. 5 coins 9 Rs. 2 coins 18 Re 1 coins 27
(b) 9, Rs. 5 coins 18 Rs. 2 coins 10 Re 1 coins 25
(c) 8, Rs. 5 coins 27 Rs. 2 coins 18 Re 1 coins 29
(d) none of these
27. In a library, new books have been purchased for Rs. 800. The cost of each book is as many rupees which is twice the number
of new books. How many new book have been purchased and what was the price of each book ?
(a) 21,42 (b) 20,40 (c) 23,46 (d) 24,48
28. In a guava garden of Baruipur. Guava plants are planted in such a way. That there are as many rows as there are guava plants
in each row. If there are al together 1225 guava plants. Find the number of plants in each row.
(a) 34 (b) 35 (c) 37 (d) 30
29. For flood relief, each student of your class has contributed as many rupee as the number of students in your class. The total
collection is Rs. 1369. How many students are there in your class.
(a) 33 (b) 39 (c) 37 (d) 36
30. An unemployed youth has brought 1770 high yielding papaya plants from a village Panchayat. He planted those plants were
in excess. How many plants are planted in each row?
(a) 46 (b) 44 (c) 40 (d) 42
31. For supplying 2720 mangoes from the orchard to a market a man brought some baskets. He placed as many arranges in each
box as the number of baskets brought for the purpose and found that 16 mangoes were in excess. How many boxes had he
brought?
(a) 46 (b) 44 (c) 52 (d) 54
32. A football clubs collects as annual subscription from each membar, as many rupees as five times the number of members of
the club. If the total become 515205 then no. of members are
(a) 321 (b) 320 (c) 323 (d) 300
33. In a railway station there are three cabinets of equal size to keep tickets of 2352 stations. In each of the cabinets there are
square hates in such a way that there are as many square hales in each row as the number of raws in the cabinet. How many
row are there in each cabinet.
(a) 24 (b) 28 (c) 26 (d) 20
34. On Republic Day, each student of a school was given 2 oranges. If the number of students in x, how many aranges were
reaired? If price of each orange is 20 paise. How many, rupees were spent.
(a) none of these (b) 2x ; Rs.
2
5
x
(c) 2x ; Rs.
2
2
x
(d) 3x ; Rs.
3
5
x
35. There were 200 mangoes in a basket, out of them, x mangoes were found rotten. The remaining mangoes were equally
distributed among 7 members of a club. How many mangoes did each receive?
(a)
200 x
y

(b)
200 y
x

(c)
220 x
y

(d) none of these
36. The distance of Madhupur from Kolkata is z km. If a car goes at a speed of 40 km per hour, What time will it take to reach,
Madhupur from Kolkata?
(a) none of these (b)
20
z
hr (c)
10
z
hr (d)
40
z
hr
37. In a battle nut garden there are 12 rouls of trees. If there are x trees om a row. How many trees are there in the garden?
(a) 13x (b) 11x (c) 12x (d) 10x
Class VI

38. The present age of Debarati is x years. What was the age of Hasin a 5 years age if she is 5 years younger than Debarati? What
will be Hasinas age 7 years hence.
(a) (x – 8) years (x + 2) years (b) (x – 10) years (x –12) years
(c) (x – 10) years (x + 3) years (d) none of these
39. The distance between Kolkata and Diamond Harbour is 3y km. If the speed of a train is 60 km. per hour. How much time will
if take to run from kolkata to Diamond Harbour.
(a)
10
y
hour (b)
20
y
hour (c)
25
y
hour (d)
15
y
hour
40. The length and breadth of a rectangular floor of a house are a metre and b metre respectively. If the rate of flooming is Rs.
225 per square metre. How much will it cost to floor the house?
(a) 220 ab (b) 225 ab (c) 210 ab (d) 200 ab
41. In a village x% of total population are peasants and 40% of the population are service holders. What percentage of the
population are of other vocations.
(a) (40 – x)% (b) (50 – x)% (c) (60 – x)% (d) (90 – x)%
42. The number of voters at a centre is 15750. 0.4 part of then is male, A candidate gets 0.6 part of male votes and 0.4 part of
female votes. How many votes does he get?
(a) 7565 (b) 7570 (c) 7550 (d) 7560
43. The weight of four sphere of lead are 5.23 gm, 4.28 gm, 6.34 gm, 5.55 gm. They were melted together to make 10 spheres.
(a) 2.10 gm (b) 3.14 gm (c) 1.14 gm (d) 2.14 gm
44. A cistern is filled in by a pipe which powers 1000 litres of water in 16 mins. If
2
7
th part of the cistern is filled up in 45
minutes. How much water does the cistern contain.
(a) 9843.50 lt (b) 9840.75 lt (c) 9843.75 lt (d) 9845.25 lt
45. A school has 700 boys and 500 girls. Number of boys increases by 0.5 part and number of girls decreases by 0.4 part. Find
the part of increase on decrease in total number of students and express it in decimals.
(a) 0.125 part increase (b) 0.150 part increase
(c) 0.120 part decrease (d) none of these
46. 4096 seed lings are planted in a plot of square land in such a way that in each row there are as many plants as the number of
row. How many seedlings are planted in each row.
(a) 62 (b) 64 (c) 60 (d) 63
47. In a society the members agreed to subscribe as many two rupee coins as there were members. The total subscriptions was
Rs. 14112. How many members are there in the society?
(a) 82 (b) 83 (c) 84 (d) 86
48. Simplify :   1 1 1 1 1         
(a) none of these (b) –1 (c) 0 (d) 1
49. What is the result when c be substrant from –5 timesd.
(a) +5d – c (b) – 5d + c (c) – 5d – c (d) 5d + c
50. ‘a’ is a positive number and b and c are two negative numbers. Find the positive numbers for drawings.
(a)
a
b
(b)
b
c
(c)
c
a
(d)
b
a
51. Cost of x kg of potato is Rs. 30, y kg of rice is Rs. 50. What is the total cost of 1 kg of potato and 1 kg of rice.
(a) Rs.
30 50
x y
 
 
 
(b) Rs.
30 50
y x
 
 
 
(c) Rs.
50 50
x y
 
 
 
(d) Rs.
30 30
x y
 
 
 
Class VI

52. The
1
4
part of a number is added with the square of the number. The sum is 147. What is the number?
(a) 12 (b) 14 (c) 18 (d) 9
53. The sum of two numbers is 24 and the sum of the square of two numbers is 386. The first number is—
(a) 5 (b) 6 (c) 7 (d) 8
54. The difference of root of two consequitive number is 81. Find the value of the largest number.
(a) 39 (b) 40 (c) 41 (d) 42
55. Which greatest number is divisible by 6, 8, 9 among 200 and 300 and every time we get 5 as reminder.
(a) 288 (b) 285 (c) 293 (d) 228
56. Which multiple of 13 is divisable by 4, 5, 6, 7, 8 and every time there is reminder as 2.
(a) 840 (b) 842 (c) 2522 (d) 2520
57. Which lowest number is divisable by 24, 32, and 36 as there are consequtively reminder as 19, 27 and 31.
(a) 283 (b) 823 (c) 382 (d) 238
58. Which greatest number is divisable by 38, 45 and 52 as there we get consequitively reminder as 2, 3, 4.
(a) 7 (b) 6 (c) 9 (d) 8
59. Find the lowest number which is divisable by 72, 90, 120.
(a) 260 (b) 630 (c) 360 (d) 620
60. Find the L.C.M of
1 14 , 3, 10
2 2
(a)
140
2
(b) 63 (c) 36 (d)
130
2
Class VI

Ramanujan class 6

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