Maths Practice Paper for Upcoming Competitive Exams
1) The Average age of man and his son is 28 years. Six years hence the ratio of their ages becomes 12:5 . What is the present age of his son ?
- 12 years
- 14 years
- 15 years
- None of these
2) The average of the middle two rational numbers if 4/7, 1/3, 2/5, 5/9 are arranged in ascending order is :
- 86/90
- 43/45
- 43/90
- None of these
3) If 8 men or 12 women can do a piece of work in 25 days. In how many days can the same work be done by 6 men and 11 women ?
- 10 days
- 12 days
- 15 days
- None of these
4) Rs. 782 is divided into three parts proportional to the fractions 1/2, 2/3 and 3/4. Then the first part is :
- Rs. 204
- Rs. 248
- Rs. 224
- Rs. 246
5) Sum of two numbers is equal to sum of square of 11 and cube of 9. Large number is 52 less than square of 25. What is the value of the sum of twice of 24% of the smaller number and half of the larger number ?
- 360
- 540
- 420
- None of these
6) A well has to be dug that is to be 22.5 m deep and of diameter 7m. Find the cost of plastering the inner curved surface at Rs. 4 per sq metre:
- Rs. 1690
- Rs. 1875
- Rs. 1980
- None of these
7) A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.
- 8 cm
- 10 cm
- 12 cm
- None of these
8) A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years.
The sum is :
- Rs. 650
- Rs. 690
- Rs. 698
- Rs. 700
9) A policeman sees a chain snatcher at a distance of 50 m. He starts chasing the chain snatcher who is running with a speed of 4 m/s, while the policeman chasing him with a speed of 6 m/s. Find the distance covered by the chain snatcher when he is caught by the policeman.
- 50 m
- 100 m
- 75 m
- None of these
10) A cistern is normally filled in 8 hours; but takes two hours more to fill because of leak in its bottom. If the cistern is full, the leak will make it empty in :
- 18 hours
- 28 hours
- 40 hours
- None of these
11) The average of four positive integers is 73.5. The highest integer is 108 and the lowest integer is 29. The difference between the remaining two integers is 15. Which of the following is the smaller of the remaining two integers ?
- 71
- 86
- 73
- 85
12) If the difference between Simple interest and compound interest on certain sum of money for 3 years at 10% is Rs 15.50. find the sum is :
- Rs. 100
- Rs. 500
- Rs. 1500
- Rs. 2000
13) A publishers sells copies of books to a retail dealer at Rs 5/ per copy but allows 25 copies to be counted as 24. If the retailer sells each of the 25 copies at RS. 6, his profit % is :
- 20%
- 24%
- 25%
- 40%
14) If the radii of two concentric circles are 15 cm and 13 cm respectively, the area of the circulating ring in sq cm is
- 176
- 178
- 180
- 200
15) A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:
- 14 km
- 15 km
- 16 km
- 17 km
16) A rectangle is having 15 cm as its length and 150 cm as its area. Its area is increased to 1 (1/3) times the original area by increasing only its length. Its new perimeter is
- 60 cm
- 70 cm
- 90 cm
- 80 cm
17) A radio is sold at a gain of 16%. If it had been sold for rs 20 more, 20% would have been gained. The cost price of ratio is :
- Rs. 350
- RS 400
- Rs. 500
- Rs. 600
18) Two cyclists start from the same place in opposite direction, one goes towards North at 18 km/hr. and the other goes towards South at 20 km/hr. What time will they take to be 47.5 km a part ?
- 2 (1/4) hours
- 1 (1/4) hours
- 23 (1/4) hours
- None of these
19) The length and breadth of square are increased by 40% and 30% respectively. The area of resulting rectangle exceeds the area of square is;
- 42 %
- 62%
- 82%
- 92%
20) A car travels a distance of 840 km at a uniform speed. If the speed of the car is 10 km/hr more, it takes two hours less to cover the same distance. The original speed of the car (in kmph)was:
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