SSC Apt Exam 04029

1. Find the Average of square of first 17 natural no.

2. The Average of 9 observations is 87. If the Average of first five observations is 79 and the Average of next three is 92. Find the 9th observation.

3 . The profit percentage of A and B is same on selling the articles at Rs. 1800 each but A calculates his profit on the selling price while B calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits ?

4 . Each of A and B sold their article at Rs.1818 but A incurred a loss of 10% while B gained by 1%. What is the ratio of cost price of the articles of A to that of B ?

5. While measuring the base of triangle it has been taken in 40% excess and its height was measured 40% less. Find the percentage change in its area.

6 . If the ratio of length, breadth and height of cuboid is 1:2:3. If the length, breadth and height are increased by 100%, 200% and 200% respectively. Then how much the volume of the cuboid will increase?

7.In an alloy 80% is copper and remaining tin. In an another alloy, copper is 85% and tin is 12%. In what ratio should the two alloys be mixed so that the new mixture must have 15% tin. Also find the percentage of copper in the new mixture.

8.Three glass of equal capacity contains a mixture of water and alcohol in the ratio 4 : 3, 5 : 2 and 7 : 3 respectively. If the mixture of all three glasses is poured into an another fourth glass, what will be the ratio of alcohol and water in the new mixture.

9 . A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

10 . A and B can separately do a piece of work in 20 and 15 respectively. They worked together for 6 days, after which B was replaced by C. If the work was finished in next 4 days, then the number of days in which C alone could do the work will be?

11. Two car start from same place at same time. Speed of first car is 10 km/h and the speed of IInd car is 8 km/h and it increase its speed 1/2 km/h after each hour. After how much distance the second overtake the first :

12 . A hound is chasing a rabbit, intially the rabbit was 125 his own leaps ahead the Hound. A hound takes 3 leaps for every 4 leaps of a rabbit. A rabbit and a hound covers 1.75 m and 2.75 m distance in a leap respectively. Then in how many leaps the hound will catch the rabbit?

13 . Bhuvnesh borrowed a certain amount from Rajesh at 12% per annum for the first three years at 16% per annum for next 5 years and at 20% per annum for the period beyond 8 years. If after 11 years the interest became ` 6080 more than the principal amount. Find the amount taken by Bhuvnesh

14 . A sewing machine costs ` 20,000. A customer bought it at the down payment of ` 5000 and paid the remaining amount in three equal installments. If the rate of compound interest be 1 12 % 2 per annum, find the amount of each installment-

15. The areas of the similar triangles are in the ratio of 25 : 36. What is the ratio of their respective heights ?

16 . The diameter of a toy wheel is 14 cm, What is the distance travelled by it in 15 revolutions?

17 . A can go round a circular path 8 times in 40 minutes. If the diameter of the circle is increased to 10 times the original diameter, the time required by A to go round the new path once travelling at the same speed as before is :

18 .A sector is formed by opening out a cone of base radius 8 cm and height 6 cm. Then the radius of the sector is (in cm)

19 .A solid cone of height 9 cm with diameter of its base 18 cm is cut out from a wooden solid sphere of radius 9 cm. The percentage of wood wasted is :

20 . Find the unit digit of 584 × 389 × 476 × 786

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23 . The areas of the similar triangles are in the ratio of 25 : 36. What is the ratio of their respective heights ?

24 . The diameter of a toy wheel is 14 cm, What is the distance travelled by it in 15 revolutions?

25 . A solid cuboid of dimensions 8 cm × 4 cm × 2 cm is melted and cast into identical cubes of edge 2 cm. Number of such identical cubes is.