SSC Apt Exam 04027

1. The average height of 40 students is 163 cm. On a particular day, three students A, B, C were absent and the average height of the remaining 37 students was found to be 162 cm. If A, B have equal heights and the height of C be 2 cm less than that of A, find the height of A.

2 . The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is

3. What should be the minimum markup percentage such that after giving a discount of 66 2 % 3 , there will not be a loss ?

4. Two third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment (in rupees) was :

5 . In an exam 900 girls 1100 boys appeared. In which 40% of girls and 50% of the boys passed the exam. Find the percentage of failed students.

6 . In a 200 grams mixture of water, spirit and alcohol the quantity of water, spirit, alcohol are 20%, 30% and 50% respectively. If 20 gm alcohol is added to the mixture and the quantity of water be doubled in the mixture then find their respective ratio of their quantities in the mixture.

7 .In first type of 10 litre wine alcohol is 26% while in second type of 15 litre wine, alcohol is 45% If both types of wines are mixed together what will be the percentage of alcohol in the mixture?

8 .In a mixture the ratio of water and milk is 7 : 5. 24 litre of the mixture is taken out and is replaced with water. Now the new ratio of milk and water becomes 1 : 3. Find the initial quantity of the 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 . 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?

12 . A man can see 400 m in a fog. When he was travelling at a speed of 4 km/hr, he saw a train was coming behind him which was passing by the side of man and disappeared after 3 minutes. If the length of train is 200 m then find the speed of the train?

13 . ` 10,000 is lent out in two parts one at 8% and other at 10%. If the average annual interest rate is 9.2% then find the two parts

14 . Bhuvnesh bought a scooter on the condition that he would pay RS 12000 instantly and ` 1680 after one year and ` 5292 after two years. If the payment is at 5% compound interest, then what was the cost price of scooter.

15 . The area of a sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is :

16 . A low land, 48 m long and 31.5m broad is raised to 6.5 dm. For this, earth is removed from a cuboidal hole, 27 m long and 18.2 m broad, dug by the side of the land. The depth of the hole will be.

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19. The side AB of a parallelogram ABCD is produced to E in such way that BE = AB, DE intersects BC at Q. The point Q divides BC in the ratio

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

23. Find the unit digit of (5627)153 × (671)230

24. Find the unit digit of (3625)333 × (4268)645

25. Find the unit digit of 641 × 673 × 677 × 679 × 681