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# Arithmetic Reasoning Questions

1. A certain sum becomes 3 fold at 4% annual rate of interest. At what rate, it will become 6 fold
1) 12%
2) 10%
3) 8%
4) 9%

2. A sum of Rs 2668 amounts to Rs 4669 in 5 yr at the rate of simple interest. Find the rate per cent
1)15.2%
2)14.9%
3)16%
4)15%

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3. The sum which amounts to Rs.364.80 in 8 yr at 3.5% simple interest per annum is
1) 285 Rs.
2) 280 Rs.
3) 275 Rs.
4) 270 Rs.

4. Find the difference in amount and principle for Rs.4000 at the rate of 5% annual interest in 4 yr.
1) Rs. 865.50
2) Rs. 865
3) Rs.400
4) Rs. 800

5. Simple interest for the sum of Rs 1230 for 2 yr is Rs 10 more than the simple interest for Rs 1130 for the same duration. Find the rate of interest.
1)5%
2)6%
3)8%
4)2%

6. The difference of simple interest from two banks for Rs 1000 in 2 yr is Rs. 20. Find the different in rates of interest.
1)2%
2)1.5%
3)1%
4)2.5%

7. Mr. Deepak invested an amount of Rs 21250 for 6 yr. At what rate of simple interest, will he obtain the total amount orf Rs.26350 at the end of 6 yr
1)6%
2)5%
3)8%
4)4%

8. The principal on which a simple interest of Rs. 55 will be obtained after 9 months at the rate of 3 2/3 % per annum is
1)1000
2)1500
3)2000
4)2500

9. During the first year, the population of a village is increased by 5% and the second year, it is diminished by 5%. At the end of the second year,its population was 47880. what was the population at the beginning of the first year
1)45500
2)48000
3)43500
4)53000

10. A sum of Rs 11000 was taken as loan. This is to be paid in two equal annual instalments. If the rate of interest be 20% compounded annually,then the value of each instalment is
1)7500 Rs.
2)7000 Rs.
3)7100 Rs.
4) 7200 Rs.

11. If 5 boys take 7 h to pack 35 toys, how many boys can pack 65 toys in 3 h
1)26
2)39
3)45
4)None of above

12. In a hostel, there are 120 students and food stock is for 45 days. If 30 new students join the hostel, in how many days will the complete stock be exhausted
1)38
2)40
3)32
4)36

13. A and B can complete a job in 24 days working together. A alone can complete it in 32 days.Both of them worked together for 8 days and then A left. The number of days B will take to complete the remaining job is
1)16
2)32
3)64
4)128

14. A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C can do it in 90 days. In what time can A alone do it.
1)80 days
2)100 days
3)120 days
4)150 days

15. A alone can complete a work in 12 days and B alone can complete the same work in 24 days.In how many days can A and B together complete the same work
1) 6 days
2) 4 days
3)10 days
4) 8 days

16. A and B can do a piece of work in 6 and 12 days,respectively.They will complete the work in how many days
1)9 days
2)18 days
3)6 days
4)4 days

17. 12 men can do a piece of work in 24 days.How many days are needed to complete the work,if 8 men do this work
1) 28
2) 36
3) 48
4) 52

18. If one man or two women or three boys can finish a work in 88 days, then how many days will one man, one woman and one boy together take to finish the same work
1) 46 days
2) 54 days
3) 48 days
4) 44 days

19. X can do a work in 16 days.In how many days will the work be completed by Y, if the efficiency of Y is 60% more than that of X
1)10 days
2)12 days
3)25 days
4)30 days

20. 3 men can do a piece of work in 6 days. 5 women can do the same work in 18 days. If 4 men and 10 women work together,then how long will it take to finish the work
1) 3 days
2)5 days
3)2 days
4)4 days

21. A stock of food is enough for 240 men for 48 days.How long will the same stock last for 160 men
1)54 days
2)60 days
3)64 days
4)72 days

22. 45 People take 18 days to dig a pond. If the pond would have to be dug in 15 days, then the number of people to be employed will be
1)50
2)54
3)60
4)72

23. 4 men or 6 women or 10 children can paint a house in 5 days. The painting is given to a couple and their 5 sons. They finish the job in
1)11/60 days
2)5511 days
3)5611 days
4)1115 days

24. The circumferences of two circles are in the ratio 2:3 what is the ratio of their areas
1)2:3
2)4:9
3)1:3
4)8:27

25. A square, a circle and equilateral triangle have same perimeter consider  the following statements
I. The area of square is greater than the area of the triangle
II. The area of circle is less than the area of triangle Which of the statement is/are correct
1) Only I
2) Only II
3) Both I and II
4) Neither I nor II

26. The ratio of length and breadth of a rectangle is 5:3. If length is 8 m more than breadth, find the area of the rectangle
1)300 sq m
2)250 sq m
3)240 sq m
4)185 sq m

27. The perimeter of a rectangle having area equal to 144 sq cm. and sides in the ratio 4:9 is
1)52 cm
2)56 cm
3)60 cm
4)64 cm

28. Diagonals of a rhombus are 1m and 1.5 m in lengths. The area of the rhombus is
1)0.75 sq m
2)1.5 sq m
3)2 sq m
4)0.375 sq m

29. The area of a sector of a circle is 77 sq cm and the angle of the sector is 450 Find the radius of the circle
1)7 cm
2)14 cm
3)21 cm
4)28 cm

30. A person observed that he required 30s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30 m/min, then the radius of the circular ground is (p=227)
1)10.5 m
2)3.5 m
3)5.5 m
4)7.5 m

31. The ratio of the areas of the circum circle and the incircle of a square is
1)1:2
2)2:1
3)1:3
4)4:1

32. The area of rectangle is 4 times of the area of a square. The length of the rectangle is 90 cm and the breadth of the rectangle is 2/3 rd of the side of the square. What is the side of the square.
1)10 cm
2)20 cm
3)15 cm
4)None of these

33. Find the area of the largest circle that can be drawn inside a rectangle with sides 18 cm and 14 cm
1) 49 sq cm
2) 154 sq cm
3) 378 sq cm
4) 1078 sq cm

34. The perimeter of a square is twice the perimeter of a rectangle.If the perimeter of the square is 72 cm and the length of the rectangle is 12 cm, what is the difference between the breadth of the side of the square
1)9 cm
2)12 cm
3)18 cm
4)3 cm

35. How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material
1)8
2)6
3)5
4)2

36. The area of a rectangle is 1.8 times the area of a square. The length of the rectangle is 5 times the breadth. The side of the square is 20 cm.What is the perimeter of the rectangle
1)145 cm
2)144 cm
3)133 cm
4)135 cm